9e-6(-2e+7)= please help me solve this problem

Answers

Answer 1

[tex]\bold{Answer:} \small\boxed{21e-42}[/tex]

Step-by-step explanation:

 [tex]To\ solve\ : \ 9e-6(-2e+7)[/tex]

we first must use the distributive property. You can think about solving this like this:

[tex]=9e-(6)(-2e+7)[/tex]

Notice how we are not distributing -6, but only 6. Now we can solve normally:

[tex]=9e-(-12e+42)[/tex]

Now we distribute the '-' sign to the terms in parenthesis.

[tex]=9e+12e-42[/tex]

[tex]\longrightarrow \large\boxed{21e-42}[/tex]

The decimal form is 15.08 rounded.


Related Questions

will give brainliest

Answers

The answer you are looking for is 6

695 is a hundred times smaller than

Answers

Answer:

69500

Step-by-step explanation:

695 x 100 = 69500

to check answer divided 69500 by 100

which is equals to 695

695 is a hundred times smaller than 69500

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

We need to find the number which 695 is a hundred times smaller than

Six hundred ninety five times smaller than

Let us consider the number to be x.

Let us multiply 695 with 100 to  get the value or answer of the above question.

Six hundred ninety five into hundred is sixty nine thousand five hundred

695 x 100 = 69500

To verify the answer is correct or not , divide 69500 by 100. if we get 695 out answer is correct

69500/100=695

Hence 695 is a hundred times smaller than 69500

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

A population grows according to an exponential growth model. The initial population is Po = 19 and the growth rate is r = 0.4.

Then find an explicit formula for Pn
Then use the formula to find P11

Answers

P11 equals  769.417 and general formula is 19*(1.4)^(n)

Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself

The growth rate is .4 per time period.

the exponential growth model is f = p * (1 + .4) ^ n

f is the future value.

p is the present value.

r is the growth rate per time period.

n is the number of time periods.

in p0, n = 0

in p11, n = 11

you are given that p0 = 19

in the formula, that becomes f = 19 * (1 + .4) ^ 0 = 19 * (1.4) ^ 0 = 19.

the formula for p1 becomes f = 19 * (1 + .4) ^ 1 = 19 * (1.4) ^ 1 = 26.6

the formula for p11 becomes f = 19 * (1 + .4) ^ 11 = 19 * (1.4) ^ 11 = 769.417

the formula for pn becomes = 19*(1.4)^(n)

Learn more about Exponential growth here :

https://brainly.com/question/11487261

#SPJ1

A spinner is labeled with the numbers 1,2,3,4,5,6,7,8, & 9.
Calculate the:
a. odds of spinning a 3
b. odds of not spinning a 9
c. odds of spinning an even number
d. odds of spinning a number less than 6

Answers

Answer:

Step-by-step explanation:

d

help me find the answer that bests best
represents this relationship

Answers

Answer:

c

Step-by-step explanation:

consider points (0,2) and (-4,0)

slope=(0-2)/(-4-0)=-2/-4=1/2

y-intercept=2

y=mx+c

y=1/2 x+2

Answer:

y=1/2x+2

Step-by-step explanation:


4. A store has 152 bottles of
water. This is 2 times the
number of sodas they
have. How many sodas
does the store have?

Answers

Answer:

76 sodas

Step-by-step explanation:

152 divided by 2

Answer: 76 sodas

Step-by-step explanation:

To find the sodas, use the data you see. Bottles of water are twice the sodas. So divided water by 2 to get the sodas.
152 ÷ 2 = 76 ( sodas ) . Hope it helps !

can someone help me on this question with step by step explaination
and reasoning

Answers

Answer: Same

Step-by-step explanation:

Given formula

[tex]Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%[/tex]

Given information

Troop A:

Original (2010) = 14New (2011) = 16

Troop B:

Original (2010) = 21New (2011) = 24

Substitute values into the formula (Troop A)

[tex]Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%[/tex]

[tex]Percent~of~change~=~\Large\frac{(16)~-~(14)}{(14)}*100\%[/tex]

Simplify the fraction

[tex]Percent~of~change~=~\Large\frac{2}{14}*100\%[/tex]

[tex]Percent~of~change~=~\Large\frac{1}{7}*100\%[/tex]

[tex]Percent~of~change~\approx~14.29\%[/tex]

Substitute values into the formula (Troop B)

[tex]Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%[/tex]

[tex]Percent~of~change~=~\Large\frac{(24)~-~(21)}{(21)}*100\%[/tex]

Simplify the fraction

[tex]Percent~of~change~=~\Large\frac{3}{21}*100\%[/tex]

[tex]Percent~of~change~=~\Large\frac{1}{7}*100\%[/tex]

[tex]Percent~of~change~\approx~14.29\%[/tex]

Compare the two percent of change

[tex]Troop~A~v.s.~Troop~B[/tex]

[tex]14.29\%~=~14.29\%[/tex]

Therefore, they are [tex]\Large\boxed{Same}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The answer is same.

Finding the percentage of change for Troop A :

New - Original / Original × 100%

16 - 14 / 14 × 100%1/7 × 100%14.29%

Finding the percentage of change for Troop B :

24 - 21 / 21 × 100%1/7 × 100%14.29%

Both the troops have the same percent change in membership.

The graph of the absolute value parent function

Answers

By the definition and properties of absolute value, there are two possible resulting functions: (i) g(x) = 5 · |x|, (ii) g(x) = |5 · x|. (Correct choices: B, D)

How to find a resulting function by applying rigid transformations

Herein we must modify a parent function to get a resulting function by the use of rigid transformations, defined as those transformations applied on geometric loci, including functions, such that Euclidean distance is conserved.

Based on the statement seen in the picture, the enlargement of the parent function can be done by a rigid transformation known as dilation, whose definition is shown below:

g(x) = k · f(x), where k is the stretch factor and is greater than 1.     (1)

If we know that f(x) = |x| and k = 5, then the resulting function is:

g(x) = 5 · |x|     (1)

This expression is also equivalent to the expression g(x) = |5 · x| by definition of absolute value.

By the definition and properties of absolute value, there are two possible resulting functions: (i) g(x) = 5 · |x|, (ii) g(x) = |5 · x|. (Correct choices: B, D)

To learn more on absolute values: https://brainly.com/question/1301718

#SPJ1

QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP

Answers

a. Central angle in the circle is: Angle BAC

b. A major arc is: Arc BEC

c. A minor arc is: Arc BC

d. measure of arc BEC is: 260°

e. m(BC) = 100°

What is a Central Angle?

A central angle has two of its sides as radii of the circle, forming an angle at the center of the circle, where the vertex is at the center of the circle.

What is a Major Arc?

A major arc has a measure that is greater than 180 degrees. That is, it is more than half a circle (semicircle). Thus, measure of major arc > 180 degrees.

What is a Minor Arc?

A minor arc has a measure that is less than 180 degrees. That is, it is not more than half a circle (semicircle). Thus, measure of minor arc < 180 degrees.

a. Central angle in the circle is: Angle BAC

b. A major arc in circle A is: Arc BEC

c. A major arc in circle A is: Arc BC.

d. Measure of arc BEC = 360 - 100 [according to the central angle theorem]

Measure of arc BEC = 260°.

e. Measure of angle BAC = 100°  [given]

Measure of arc BC = angle BAC [according to the central angle theorem]

Measure of arc BC = 100°

Learn more about major and minor arcs on:

https://brainly.com/question/23498567

#SPJ1

Draw out a two column proof for each problem below. Complete all problems on one page and upload ONE photo of the entire assignment Make sure your file/image is clear (not blurry) and easy to read. Problem 1. Congruent Triangle Proof (10 Points) Given: NQ is the bisector of MNP and NMQ ~ ZNPQ| Prove: A MNQA PNQ 0 Problem 2. Proof Involving CPCTC (14 Points) Given: S is the midpoint of QR QR PS and RSP and QSP are right angles. Prove: PR PQ S 0​

Answers

Two or more triangles are congruent if on comparison, they have equal lengths of sides, and measure of angles.

Therefore, the required proofs for each question are shown below:

Problem 1:

Congruent triangles are triangles with equal lengths of corresponding sides and measures of internal angles.

Thus,

                     STATEMENT                          REASON

1. <NMQ ≅ <NPQ                            Any point on a perpendicular bisector      

                                                        makes equal measure of angle with the

                                                        two ends of the line segment.

2. NQ ⊥ MP                                     Definition of a line.

3. MQ ≅ PQ                                     Equal segments of a bisected line.

4. MN ≅ PN                                     Any point on a perpendicular bisector    

                                                        is at the same distance to the

                                                        two ends of the line segment.

5. <MNQ ≅ <PNQ                           Equal measure of the bisected angle.

Problem 2:

A line segment is the shortest distance between two points.

            STATEMENTS                    REASONS

1. m<PSR  ≅ m<PSQ                A perpendicular bisector is always at a right  

                                                  angle to the bisected line segment.

2. m<RPS ≅ m<QPS                 Equal measure of the bisected angle.

3. RS ≅ QS                                Property of a bisected line segment.

4. PR ≅ PQ                                Any point on a perpendicular bisector    

                                                  is at the same distance to the two ends of  

                                                 the line segment.

For more clarifications on the perpendicular bisector of a line segment, visit: https://brainly.com/question/12475568

#SPJ1

3. Working with Percent: Determine each amount. a) 1.6% of $150 b) 11.3% of $950 c) 0.29% of $2000 (3)​

Answers

Answer:

a) (1,6 x 150)/100 = 2,4 dollars

b) (11,3 x 950)/100 = 107,35 dollars

c) (0,29 x 2000)/100 = 5,8 dollars

What are the major requirements for a group of individuals and organizations to be a market? How does a consumer market differ from a business-to-business market?

Answers

The major requirements for a group of individuals and organisations to be a market as evident from the definition big a market is that; there must be an exchange of goods or services in which case, there are sellers and buyers.

Which requirements ascertain that a group of individuals are a market?

The occurrence of the exchange of goods and services represents the qualifying requirement for a market.

The distinctive property between a consumer market and a business-to-business market is the that former, involves the end user of the good or service while the latter involves the use of the good or service exchanged to facilitate the production of other goods.

Read more on consumer market;

https://brainly.com/question/27296954

#SPJ1

Uncle Bill has planted fruits in the farm and 7/12 is watermelon.2/3 of the watermelon section is ruined from the storm.The rest is planted with lemon which isn’t ruined.What is the fraction of his farm which isn’t ruined?

Answers

The fraction of his farm which isn’t ruined is 11/18

Fractions and proportion

Fractions are written as a ratio of two integers. The given question will be solved using the method of proportion.

If Uncle Bill has planted fruits in the farm and 7/12 is watermelon, and 2/3 of the watermelon section is ruined from the storm, the fraction ruined from the storm is;

Fraction ruined from the storm = 2/3* (7/12)

Simplify to its lowest term to have:

Fraction ruined from the storm = 7/18

Determine the fraction of the firm that is not ruined

Fraction not ruined = 1 - 7/18

Fraction not ruined = 11/18

Hence the fraction of his farm which isn’t ruined is 11/18 if uncle Bill has planted fruits in the farm and 7/12 is watermelon.

Learn more on fraction here: https://brainly.com/question/17220365
#SPJ1

A company that produces dog food claims that its bags contain 11 kg of food. From
prior experimentation, it is known that the weight of the dog food in these bags is normally
distributed with a standard deviation of 0.6 kg. From a random sample of 25 bags, the mean
weight of the dog food was 10.6 kg. We are concerned that the company is exaggerating how
much dog food they put in their bags. Test at the 5% significance level.

Answers

By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.

We are required to find whether the company is right in saying that their bags contain 11 kg of food.

First we have to make hypothesis.

[tex]H_{0}[/tex]:μ≠11

[tex]H_{1}[/tex]:μ=11

We have to use t statistic because the sample size is less than 30.

t=(X-μ)/s/[tex]\sqrt{n}[/tex]

We will use s/[tex]\sqrt{n}[/tex]=0.6 because we have already given population standard deviation of weights.

t=(11-10.6)/0.6

=0.4/0.6

=0.667

Degree of freedom=n-1

=25-1

=24

T critical at 0.05 with degree of freedom 24=2.0639

T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.

Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Learn more about t test at https://brainly.com/question/6589776

#SPJ1

A Ferris wheel with a diameter of 10 m and makes one complete revolution every 80
seconds. Assume that at time t = 0, the Ferris Wheel is at its lowest height above
the ground of 2 m. You will develop the equation of a cosine graph that models your
height, in metres, above the ground as you travel on the Ferris Wheel over time, t in
seconds. To do this, answer the following questions.


1. State the amplitude of the graph.
2. State the value of k in the general form y = a cos [k(x - d)] + c.
3. State the value of d.
4. State the value of c.
5. State the cosine equation of the graph.

Answers

The cosine equation of the attached graph is; y = 5 cos [( π/40)(x - (π/2))] + 3

How to plot a trigonometric graph?

The given parameters are:

Diameter = 10 m

Thus;

Radius; r = 5 m

Time; t = 80 s

Height above the ground, h = 2 m

The above means that:

Amplitude; A = 5 m

Period, T = 80 s

Minimum = 2 m

The cosine function is represented as:

y = a cos [k(x - d)] + c.

where;

A is amplitude

B is cycles from 0 to 2π

period = 2π/k

d is horizontal shift

c is vertical shift (displacement)

Thus;

2π/k = 80

k = 2π/80 = π/40

Where

c = Amplitude - Minimum

c = 5 - 2

c = 3

Shift to the left by π/2 gives;

d = π/2

Thus, the equation of the cosine graph is;

y = 5 cos [( π/40)(x - (π/2))] + 3

Read more about Trigonometric Graph at; https://brainly.com/question/28054826

#SPJ1

Find the future value in interest earned if $8704.56 is invested for eight years at 4% compounded semiannually

Answers

The future value interest earned semiannually at a  compound rate of 4% is $7598.89.

To calculate the future value in interest earned, we use the of compound interest

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Formula:

I = [P(1+r/100)ⁿ-P]...................... Equation 1

Where:

I = Future interestP = PrincipleR = Raten = Total time

From the question,

Given:

P = $8704.56r  = 4%n = 2×8 = 16 semiannually

Substitute the values above into equation 1

I = [8704.56(1+4/100)¹⁶-8704.56]I = 8704.56(1.04)¹⁶-8704.56I = 16303.48-8704.56I = $7598.89

Hence, the future value interest earned is $7598.89.

Learn more about compound interest here: https://brainly.com/question/24924853

#SPJ1

In the similar quadrilaterals below, what angle corresponds to ∠C
HURRY PLEASE!!!


∠H

∠G

∠F

∠E

Answers

Answer:

angle G

Step-by-step explanation:

the quadrilateral did not change position or ration, it only shrank, so all the angles are in the same place and angle C = angle G

Answer:

2

Step-by-step explanation:

Lets find the digit in blank space of thr following numbers so hat the number formed is divisible by 11.

a.27.......3​

Answers

The digit is 8

11 * 253 = 2783

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the points with their polar coordinates. HELPPPPP!!

Answers

The points would be matched with their polar coordinates as follows:

(-4, -3π/4) → E.(4, 7π/4) → F.(4, 3π/4) → C.(- 4, - 7π/4) → D.

What is a polar coordinate?

A polar coordinate can be defined as a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).

How to transform polar coordinates to rectangular coordinates?

In geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules is given by the following polar functions:

a = rcos(θ)    ....equation 1.

b = rsin(θ)     ....equation 2.

Where:

θ is the angle.r is the radius of a circle.

In Mathematics, a negative vector for a given vector has the same magnitude but acts in an opposite direction while an antiparallel vector for a given vector refers to any vector that acts in an opposite direction.

This ultimately implies that, a negative vector equals to an antiparallel vector, but an antiparallel vector isn't always a negative vector.

In this context, we can infer and logically deduce that the points would be matched with their polar coordinates as follows:

(-4, -3π/4) → E.(4, 7π/4) → F.(4, 3π/4) → C.(- 4, - 7π/4) → D.

Read more on polar coordinates here: https://brainly.com/question/2193539

#SPJ1

Last month McKinneys Apothecary dispense the following liquid medication 1 gallon 3 quarts 7 pints and 3 dozens 6ounces of bottles in total how many millimeters what is dispensed

Answers

Answer: 10204 millimeters

Step-by-step explanation: A gallon = 3875 mm. A quart is 946. 946x 3 = 2838. A pint is around 473 mm which, when multiplied by 7, is 3311. Finally, there are 6 ounces which are approximately 30 mm. 6x30 = 180. We add all of this up : 3875 + 2838+ 3311 + 180 = 10204.

Graph the hyperbola using the transverse axis, vertices, and co-vertices:
12x2−3y2−108=0
Use the green key point to change the orientation of the transverse axis, and the red key points to adjust the locations of the vertices and co-vertices.

Answers

See attachment for the graph of the hyperbola 12x^2 - 3y^2 - 108 = 0

How to graph the hyperbola?

The equation of the hyperbola is given as:

12x^2 - 3y^2 - 108 = 0

Start by calculating the transverse axis

So, we have:

Transverse axis

The vertices of the given hyperbola are (0, 0)

This means that

(h, k) = 0

Where

a = 3 and b = 6

The transverse axis is calculated as:

y = ±b/a(x - h) + k

So, we have:

y = ±6/3(x - 0) + 0

Evaluate the difference and sum

y = ±6/3x

Evaluate the quotient

y = ±2x

This means that the transverse axes are y = 2x and y =-2x

The vertices

In the above section, we have:

The vertices of the given hyperbola are (0, 0)

This means that

(h, k) = 0

The co-vertices

In the above section, we have:

The vertices of the given hyperbola are (0, 0)

This means that

(h, k) = 0

And

a = 3 and b = 6

The co-vertices are

(h - a, k) and (h + a, k)

So, we have:

(0 - 3, 0) and (0 + 3, 0)

Evaluate

(-3,0) and (3, 0)

See attachment for the graph of the hyperbola

Read more about hyperbola at:

https://brainly.com/question/26250569

#SPJ1

Use the ANOVA analysis tool Base on the given data uploaded, will you conclude that the number of bathroom of houses is a significant factor for house price? I your answer is affirmative, then explain how the house price is influenced by the number of bathroom?

Answers

Hdjzjxj oasmzkxicodkdkzozoskdj yes

What is the value of the last digit in 3,500.45

Answers

Answer:

five-hundredths

Step-by-step explanation:

Write the following number in scientific notation. 788,000

Answers

Answer:

7.88 x 10^5 is 788,000 is scientific notation

When pricing out a menu, we know it is important to use the Edible a portion Price. What would the effect on your profit margin be, if we only used the as purchased price to determine our cost and selling price?

Answers

The effect of  Edible a portion Price on your profit margin , if we only use the as purchased price to determine our cost and selling price is that it will maximize the profit because it will account for every part of the production.

What is edible portion cost?

The portion cost can be calculated by multiplying the cost of a usable kg  with the  portion size.

This can be represented as : portion cost = (portion size x cost of usable kg)

It should be noted that Edible portion (EP)  serves as the  portion of food  which will be given top the   customer after  the preparation.

Learn more about profit margin at:

https://brainly.com/question/8189926

#SPJ1

Answer:

Step-by-step explanation:

at the beginning of the week, a particular stock sold for 29 3/8 per share. at the end of the same week it sold for 31 2/8. what was the amount of increase per share ?

Answers

Answer:

2 1/8

Step-by-step explanation:

I counted from 29 to 31 and then saw that for 29 it was 3/8 and for 31 it was 2/8 so i knew that the answer would be 2 1/8

Tyson uploaded 500 videos to the Internet. Sarita uploaded fewer videos than Tyson. Write an inequality that compares the number of videos Sarita uploaded, v, to the number of videos Tyson uploaded.


→WILL MARK BRAINLIEST←

Answers

The inequality that compares the number of videos Sarita uploaded, v, to the number of videos Tyson uploaded is v - 500 < y

Inequality

number of videos Sarita uploaded = v

number of videos Tyson uploaded = 500

Total videos updated = y

Inequality for number of videos Sarita uploaded:

v - 500 < y

Therefore, the inequality that compares the number of videos Sarita uploaded, v, to the number of videos Tyson uploaded is v - 500 < y

Learn more about inequality:

https://brainly.com/question/25275758

#SPJ1

Answer:

- v < 500

Step-by-step explanation:

Khan Academy Question

Answers

Answer:

84

Step-by-step explanation:

Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.

Angles PDA and ADR are complementary.

Angles ODU and UDR are complementary.

Angles ADR and UDR are given as congruent.

We can conclude that angles PDA and ODU are congruent.

By AA Similarity, triangles APD and UMD are similar.

DP/DM = PA/MU

3.75/10 = 4.5/MU

3.75MU = 10 × 4.5

MU = 12 (altitude of triangle DUO)

OD = OM + MD =  4 + 10 = 14 (base of triangle DUO)

area = base × height / 2

area = 14 × 12 / 2

area = 84

Answer:

84

Step-by-step explanation:

correct me if im wrong

Researchers wanted to study if having a long beak is related to flight and birds they surveyed a total of 34 birds the data are shown in the contingency table below what is the relative risk of flying for those birds that have long beaks

Answers

The odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76.

What is an odds ratio?

An odds ratio is a measure of the strength of an association with the exposure and outcome.

The odds ratio can be calculated by dividing the odds of the first group (exposure) by the odds of the second group (outcome).

                             Flies      Does not fly     Total

Long beak               11               7                     19

Not a long beak      3              13                     15

Total                       14             20                    34

Probability of long beaks flying = 0.79 (1/14)

Probability of not having long beaks flying = 0.21 (3/14)

Odds ratio = 3.76 (0.79/0.21)

Thus, the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76, showing greater odds of association.

Learn more about the odds ratio on:

brainly.com/question/24223396

#SPJ1

Complete question

Researchers wanted to study if having a long beak is related to flight in birds. They surveyed a total of 34 birds. The data are shown in the contingency table below. What is the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly? Round your answer to two decimal places.

Long beakNot a long beakTotalFlies11719Does not fly31315Total142034

In a study of 250,178 cell phone users,it was found that 81 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is 0.000412 probability of a person developing cancer of the brain or nervous system. We therefore expect about 104 cases of such cancer in a group of 250,178 people.Estimate the probability of 81 or fewer cases of such cancer in a group of 250,178. What do these results suggest about media reports that all cell phone cause cancer of the brain or nervous system?
P(x≤81)=[tex]P(x\leq 81)\\What do these results suggest about media reports?[/tex]

Answers

Using the normal distribution, the probability is given as follows:

P(x≤81) = 0.0158.

Since this probability is very small, less than 0.05, it suggest that the media reports overstated the proportion of cellphone users that developed cancer.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

For this problem, the proportion and the sample size are given by:

p = 0.000412, n = 250178

Hence the mean and the standard deviation for the approximation are given by:

[tex]\mu = np = 250178 \times 0.000412 = 103.1[/tex].[tex]\sigma = \sqrt{np(1-p)} = \sqrt{250178 \times 0.000412 \times (1 - 0.000412)} = 10.15[/tex]

The probability that x is of 81 or less than the p-value of Z when X = 81.5, accounting for continuity correction, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81.5 - 103.1}{10.15}[/tex]

Z = -2.13

Z = -2.13 has a p-value of 0.0158.

Hence:

P(x≤81) = 0.0158.

Since this probability is very small, less than 0.05, it suggest that the media reports overstated the proportion of cellphone users that developed cancer.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Other Questions
Describe the rise in television ownership. explain how television was connected to consumer spending in the 1950s. also discuss how television influenced american social and cultural expectations. An investigator who conducts an experiment to determine how changes in pH affect the function of enzymes on digestion is most likely to be a/an __________. histologist neurologist physiologist engineer anatomist The obsessive disinhibition form of a craving is the result of dysfunction in the ___________ neurotransmitter. a. gaba b. 5ht c. da d. op What are the two stages of accounting for a purchase discount using the gross method? (check all that apply.) What is the ""most deadly mistake anyone can do"" during a tornado strike? here is a list of do's and don'ts during tornado strike: The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the equation of the regression line. Then construct ascatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is notmeaningful to predict the value of y, explain why not.(a) x = 160 cal(b)x= 90 cal(c)x= 175 cal(d)x=198 calClick the icon to view the table of caloric and sugar contents. Write an equation that gives the relationship between the cross-sectional area (a), the volume (v), and the thickness of a cylinder. Another part of family planning is exploring fertility. as you have learned in this lesson, infertility can impact a person's plan for starting a family. thinking about your ideas for a family, how would you cope with infertility? discuss how you would go about starting a family. write a story which includes a piece of writing which caused great disapointment or happiness. When reference is made to the _________________________ , it means the specific amount of income needed for a basic standard of living. poverty trap income line income gap poverty line Deion misses 4% of the free throws he attempts in a seaon. how many total free throws did he attempt if he missed 17 If a polynomial function, f(x), with rational coefficients has roots 0, 4, and 3 startroot 11 endroot, what must also be a root of f(x)? _______ are small groups of consumers who interact directly and informally with product designers without a moderator present. Firewood can be sold in cords. the wood is cut into equal lengths and stacked evenly in a rack. which geometric shape can be used as a model to calculate the volume of the cord of wood? Jamal is placed in the remedial reading class at school and labels himself as a bad reader, thereby causing him to read less and not improve his reading. This is an example of the a self-fulfilling prophecy b the fundamental attribution error c. mere exposure effect d. stereotype threat Read the extract from 'The hunting of Shumba' by Kingsley Fairbridge and answer the questions. This poem describes the way Shumba, a lion, hunts his prey. A grass-blade breaking! Swift in awful calm, The mighty limbs at length along the ground; Steel muscles tightening - A sense of harm, Intangible... no shadow of a sound... But savage eyes unveil'd, Intense as death; Purs'd lips and lower'd ears and bated breath, Dread vigour hail'd From every nerve and tissue - crouching there Blent with grass,- incarnate, awful fear ! A leap a scream a thud; And it is done. Silence awhile, and the hot smell of blood. Silence, then slowly, with the sinking sun, The rend of flesh....The crickets wake and sing, The frogs take up their song, the night-jars wing Weird in the azure dusk. As had been will'd, - C IGHLI Identify the figures of speech in the poem What is the difference between dilations and dilatations? Given: mH = 30, mJ = 50, mP = 50, mN = 100Prove: HKJ ~ LNPTriangles H K J and L N P are shown. Triangle L N P is smaller and to the right of triangle H K J.Statement Reason1. mH = 30, mJ = 50, mP = 50, mN = 100 1. given2. mH + mJ + mK = 180 2. ?3. 30 + 50 + mK = 180 3. substitution property4. 80 + mK = 180 4. addition5. mK = 100 5. subtraction property of equality6. mJ = mP; mK = mN 6. substitution7. J P; K N 7. if angles are equal then they are congruent8. HKJ ~ LNP 8. AA similarity theoremWhich reason is missing in step 2?CPCTCdefinition of supplementary anglestriangle parts relationship theoremtriangle angle sum theorem GAll of the following statements about Czech immigrants in Texas are true EXCEPT:a They built Catholic churches.b. They established close-knit communities.C.They did not embrace American democratic ideals.d. They created Czech language schools and newspapers. The causative agent of gonorrhea and one of the causative agents of meningitis is part of which subgroup of proteobacteria?