The probability for at least 1 page is 0.667 .
Probability is the department of arithmetic concerning numerical descriptions of the way likely an event is to occur, or how probable it is that a proposition is actual. The probability of an event is a number between 0 and 1, where, roughly speaking, zero shows the impossibility of the event, and 1 suggests truth.
Possibility = the wide variety of methods of achieving success. The whole wide variety of possible outcomes. As an example, the opportunity of flipping a coin and its being heads is ½ because there's 1 way of having a head and the total quantity of viable outcomes is 2 (a head or tail). We write P(heads) = ½.
The form opportunity is from old French probability (14 c.) and at once from Latin probabilities (nominative probabilitas) "credibility, possibility," from probabilistic (see likely). The mathematical sense of the time period is from 1718.
As there's an average of 1 misprint in line with the web page, the possibility of a minimum of 5 misprints is 1 - P(0, 1, 2, 3, or 4 misprints)
P(0) = e-1/0!
P(1) = e-1/1!
P(2) = e -1/2!
P(3) = e-1/3!
P(4) = e-1/4!
P(0, 1, 2, 3, or 4 misprints) = e-1(1 + 1 + half of + 1/6 + 1/24) = 2 17/24 e-1 = .99634
Then, P(5 or more misprints) is 1 - .99634 = .00366
Then, the P(at the least 1 page in a 300-page ebook has at least 5 misprints) = 1 - P(0 pages have at least 5 misprints).
P(0 pages have at the least 5 misprints) = P(300 of 300 pages have 0, 1, 2, 3, or 4 misprints) =.99634 300
(you could view this as C(300, 300) p300 in case you desire) = 0.332881690573629
Then, P(1 or greater pages have at least 5 misprints) = 1 - 0.332881690573629 = 0.667118309426371
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Which of the following shapes could be formed by taking a longitudinal section perpendicular to the base of a rectangular prism?
The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.
What is a three dimensional shape?A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.
A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.
A rectangular prism is a three-dimensional shape, having six faces, where all the faces are rectangles.
The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.
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Bruce went to sleep at 9:00 pm and set old-shchool analog alarm clock to ring when he wanted to wake up the next morning: at 10:00. HHow many hours will Bruce sleep?
The percentage of the battery's capacity that is charged as a function of time (in minutes) is graphed.
A first quadrant coordinate plane. The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes. The vertical axis is from zero to one hundred with a scale of five and is titled Capacity, percent charged. The graph of the line is y equals two x plus forty. The graph ends at thirty minutes.
A first quadrant coordinate plane. The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes. The vertical axis is from zero to one hundred with a scale of five and is titled Capacity, percent charged. The graph of the line is y equals two x plus forty. The graph ends at thirty minutes.
At what rate is the battery charged?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
111 percent per minute
(Choice B)
B
202020 percent per minute
(Choice C)
C
101010 percent per minute
(Choice D)
D
222 percent per minute
The rate at which battery charges is 10 percent per minute.
According to the statement
we have given that the charging capacity of battery in the graphical representation.
And we from this we have to find the percentage by which battery charges.
And the graphical representation given is :
The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes. The vertical axis is from zero to one hundred with a scale of five and is titled Capacity, percent charged. The graph of the line is y equals two x plus forty. The graph ends at thirty minutes.
A first quadrant coordinate plane. The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes.
And according to this representation it is clear that the percentage by which battery charges is 10 percentage per minute.
So, The rate at which battery charges is 10 percent per minute.
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True or false: simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association
The given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.
Since, we know that
A variable that we did not include in our analysis, that could susbtantially change our intepretation of the data if we did include it, is called a lurking variable.
Including a lurking variable may
Have no effect make you re- think the cause of phenomenon Make you re-think the direction of an association.And,
When including a lurking variable causes you to re-think the direction of an association, this is called Simpson's paradox.
Hence, the given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.
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Using data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data from this study.1 In this case, we are testing
H0:po=pcHa:po>pc
where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We have n1=n2=500. Show all remaining details in the test, using a 5% significance level.
Effect of Organic Raisins After 15 Days
After 15 days, 320 of the 500 fruit flies eating organic raisins are still alive, while 300 of the 500 eating conventional raisins are still alive.
Give the test statistic and the p-value.
Round your answers to three decimal places.
What is the conclusion?
Do we have evidence that the proportion surviving after eating organic is higher?
The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.
How to illustrate the information?The following can be deduced from the information:
x1 = 275
x2 = 170
n1 = 500
n2 = 500
The sample proportion will be:
p1 = 275/500 = 0.55
p2 = 170/500 = 0.34
The pooled proportion will be:
= (275 + 170)/(500 + 500)
= 0.44
The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.
The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.
In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.
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Solve 2(1 - x) > 2x
Answer:
x < 1/2
Step-by-step explanation:
2(1-x) > 2x
2-2x > 2x
2 > 4x
1/2 > x
Answer:
x<1/2
Step By Step Explanation
Let's solve your inequality step-by-step.
2(1−x)>2x
Step 1: Simplify both sides of the inequality.
−2x+2>2x
Step 2: Subtract 2x from both sides.
−2x+2−2x>2x−2x
−4x+2>0
Step 3: Subtract 2 from both sides.
−4x+2−2>0−2
−4x>−2
Step 4: Divide both sides by -4.
-4x/2>-2/4
x<1/2
Which linear inequality is represented by the graph
Answer:
the second choice
Step-by-step explanation:
The last two choices could not be correct, because it would need a dashed line. The line under the greater than or less than symbol mean that the line is included in the answer and it will be a solid line like you see in the picture. For both of the top two answers the slope that they y intercept is correct. You just have to decide is the symbol will be greater than or equal to or less than and equal to.
If we put 0 in x for in the form y = mx + b, what would y be?
y = 1/3 x - 1
y = 1/3(0) - 1
y = -1
The ordered pair is (0,1). That is the part that is shaded so that shows us that the second answer is correct.
5. Suppose that we have 50 balls labeled 0 through 49 in a bucket. What is the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls
The minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls is 4
How to determine the minimum number of balls?The total number of balls is
Total = 50
Let k represent the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls
Using the pigeonhole principle, we have
n + 1 = k
Where n = 3
So, we have
3 + 1 = k
Evaluate the sum
4 = k
Rewrite the equation as
k = 3
Hence, the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls is 4
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Please do it fast as possible
The factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).
The given expression is 20m²/n²- 30n²/m² +1.
We need to factorise the given expression.
How to factorise the trinomial?To factor, a trinomial in the form x²+ bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x²+ rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, we can rewrite 20m²/n² +1 - 30n²/m² as 20m²/n² +25mn/mn- 24mn/mn- 30n²/m².
=(20m²/n² +25mn/mn)- (24mn/mn- 30n²/m²)
=5m/n(4m/n + 5m/n)-6n/m(4m/n+5n/m)
=(4m/n + 5m/n)(5m/n-6n/m)
Therefore, the factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).
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[THESE ARE NOT THE RIGHT ANSWERS I JUST GUESSED]
Consider the graph of function f.
у
OA.
-2
OB.
6+
4
2
2
S
Which is the graph of the function g(x) = f(-x)?
9
N
6
44
2
y
2
4
6
y
6
-
40
X
IN
on
4
X
The parent function of the function represented in the table is exponential.
Note if you subtract 10 from each output, you get [tex]f(x)=3^x[/tex].If function f was translated down 4 units, the f(x) values would be decreased by 4.
See attached image.A point on the table for the transformed function would be (4, 87).
[tex]f(4)-4=87[/tex]If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a face card?
The probability of getting exactly one face card is 0.72.
According to the questions two cards are drawn from a deck.
Since, we know that
Total number of cards in a deck = 52
Total number of face cards = 3 × 4 = 12
So, the number of ways of selecting 2 cards from a deck = [tex]^{52} C_{2}[/tex]
And, the total number of ways of getting exactly one face cards
= [tex]^{12} C_{1} \times ^{40} C_{1}[/tex] + [tex]^{40} C_{1} \times ^{12} C_{1}[/tex]
= 2[tex]^{40} C_{1} \times ^{12} C_{1}[/tex]
Therefore, the probability of getting exactly one face card
= [tex]\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }[/tex]
[tex]= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }[/tex]
[tex]= \frac{2(40\times 12)}{26\times 51}[/tex]
[tex]=\frac{2\times 480}{1326}[/tex]
= 0.72
Hence, the probability of getting exactly one face card is 0.72.
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15 points please help me ASAP
A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is a line plot?A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
What is a mean?A mean is also referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
Mathematically, the distance between the means of both players A and B is given by:
Distance = Mean of player B - Mean of player A
Distance = 10 - 6
Distance = 4.
The mean absolute deviation (MAD) for player A is given by:
MAD A = 1/11[2(3 - 6) + 2(4 - 6) + (5 - 6) + (6 - 6) + (7 - 6) + 2(8 - 6) + 2(9 - 6)]
MAD A = 1/11[2(3) + 2(2) + (1) + (0) + (1) + 2(2) + 2(3)]
MAD A = 1/11[6 + 4 + 1 + 0 + 1 + 4 + 6]
MAD A = 1/11 × [22]
MAD A = 22/11
MAD A = 2.
Also, the mean absolute deviation (MAD) for player B is given by:
MAD B = 1/11[2(7 - 10) + 2(8 - 10) + (9 - 10) + (10 - 10) + (11 - 10) + 2(12 - 10) + 2(13 - 10)]
MAD B = 1/11[2(3) + 2(2) + (1) + (0) + (1) + 2(2) + 2(3)]
MAD B = 1/11[6 + 4 + 1 + 0 + 1 + 4 + 6]
MAD B = 1/11 × [22]
MAD B = 22/11
MAD B = 2.
Therefore, distance between the means = two (2) times the MAD.
Distance = Means × MAD
4 = 2 × 2.
In conclusion, we can infer and logically deduce that there is some overlap and the distance between the means of both players A and B is between one (1) times the MAD and five (5) times the MAD.
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Type the correct answer in each box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y = 650x + 175
y = 25,080 − 120x
The system of equations when been placed in a matrix yields
[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation:
y = 650x + 175 and;
y = 25080 - 120x
Rearranging the equations gives:
650x - y = -175 and;
120x + y = 25080
Placing the equations in a matrix gives:
[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]
The system of equations when been placed in a matrix yields
[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]
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Tim has a bag containing only red, yellow and green jelly beans.
- the number of red jellybeans is 25
- the number of yellow jelly beans is a third of red jelly beans
- a half of his jelly beans are green.
How many of Tim's jellybeans are green?
Answer:
green=100 jellybeans
Step-by-step explanation:
let the bag be (B)
red jellybeans (R)
yellow jellybeans (Y)
green jellybeans (G)
R=25
Y=3R............(1)
½ of B=G ..........(2)
from equation (1)
Y=3(25)
Y=75
since 1/2 0f the bag are G that means R+Y is equal to the remaining bag
R+Y=75+25=100 which is half of the bag
G that's half of the bag =100
How many 9 digit palindomes are there with all the digits being evan and each digit appearing no more than twice?
Answer: 96
Step-by-step explanation:
A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121
Then, we have 9 digits, and all the digits need to be even.
the options are: 0, 2, 4, 6, 8.
Now, we can think of a 9-digit number as 9 empty slots, and in each slot, we can put a number.
But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.
So, we can think it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.
For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9-digit number).
for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)
for the third digit, we have 3 options
for the fourth digit, we have 2 options
for the fifth digit, we have only one option.
The total number of combinations is equal to the product of the number of options for each selection:
C = 4*4*3*2*1 = 96
When the distribution we want to analyze is symmetrical, which of the three averages should we choose to report?
The mean, median, and mode all have the same values in a symmetrical distribution. The mean is frequently chosen as the primary indicator of central tendency in these situations.
The mean is the measure of tendency that is most strongly impacted by any outliers or skewness among the three measures of tendency. The mean, median, and mode all have the same values in a symmetrical distribution. How Does Symmetrical Distribution Work?The mean, median, and mode frequently occur at the same location in a symmetrical distribution, where the values of variables exist at regular frequencies. The graph's middle can be divided into two sides that mirror one another by drawing a line through it.
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12/31/2021 and 3 million shares at 12/31/2020 (81 million) (59 million) total shareholders’ equity $ 774 million $ 603 million how many of levi's common shares were outstanding on 12/31/2020
The number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.
What is an Outstanding common shares?This refers to the number of shares of common stock that a company has issued to investors and company executives.
Total common shares
= $95million / $5 par shares
= 19 million shares
Outstanding common shares = 19 million shares - 3 million shares
Outstanding common shares = 16,000,000 shares
Therefore, the number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.
Full information
The following partial information is taken from the comparative balance sheet of Levi Corporation:
Shareholders’ equity 12/31/2021 12/31/2020
Common stock, $5 par; 29 million shares authorized; 24 million shares issued and 19 million shares outstanding at 12/31/2021; and ____million shares issued and ____shares outstanding at 12/31/2020.
$120million $95million
Additional paid-in capital on common stock 529million 401million
Retained earnings 206million 166million
Treasury common stock, at cost, 5 million shares at 12/31/2021 and 3 million shares at 12/31/2020 (81million) (59million)
Total shareholders’ equity $774million $603million
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When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1650(.85)d where d is the number of days since application. By what percent does the population of weeds decrease each day?
By 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d. This can be obtained by using the function representing the exponential decay.
Find percent by which the population of weeds decrease each day:Number of weeds is represented by the function,
W(d)=1650(0.85)^d
⇒ W(d)=1650(1 - 0.15)^d
Here, d = number of days since application
Function representing the exponential decay is,
⇒ A(r) = A(1 - r)^t
where,
A = Initial value
r = Percentage decay
t = duration
By comparing the given function and function representing the exponential decay,
r = 0.15 ≈ 15/100
Or r = 15%
Therefore, population of weeds will decrease 15% each day.
Hence by 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d.
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Morgan is designing a rectangular quilt. The quilt will be 1 3/5 meters wide and will have an area of 6m 2 (To the power). How long is the quilt?
Answer:3 3/4 meters
Step-by-step explanation:
6/(1 3/5)=3.75 meters or 3 3/4 meters
can someone please help me with this
Topic= Surface area of prisms and cylinders
i keep getting the wrong answers
My working is incorrect please help me.
ANSWERS ARE FOR 4) 1234.10 AND 5)532.00
Step-by-step explanation:
4)
the surface area is
top and bottom : 2× pentagon (5 sides)
sides : 5× rectangle 14×8 ft²
let's start with the easiest : the rectangles.
5 × 14×8 = 560 ft²
the area of a pentagon is similar to any regular polygon :
n × triangle of side×height (to middle of pentagon) / 2
n = number of sides (5 in our case).
the middle or center of the pentagon is the top vertex of each triangle.
so,
5 × 14×9.63 / 2 = 5 × 7 × 9.63 = 337.05 ft²
and we have 2 of them (top and bottom), so
2×337.05 = 674.1 ft³
in total the surface area is
560 + 674.1 = 1,234.1 ft²
5)
6 sides :
top and bottom : 7×14 rectangle
left and right : 7×8 rectangle
front and back : 8×14 rectangle
so, we have
2× 7×14 = 196 mm²
2× 7×8 = 112 mm²
2× 8×14 = 224 mm²
in total that is : 532 mm²
Suppose we deal a 5-card hand from a regular 52-carddeck. Which islarger, p(2 access) or p(3 diamonds)?
The probability of p(2 aces) is greater than the probability of p(3 diamonds).
Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.
A deck of cards always has 52 cards.
Out of those 52 cards, there are 4 different aces.
The deck of cards also contains 13 diamonds.
Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.
Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.
If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).
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Select the correct answer.
What is the value of this expression if h = 8. j = -1, and k = -12? J3k/h0
A. 36
B. 12
C.-12
D. 3/4
The value of equation which is given is 12.
According to the Statement
we have given the expression and the some values and we have to find the values of the expression after put the given values in it.
So,The given values are:
h = 8. j = -1, and k = -12
And the given equation expression are J³k/h⁰
Now Substitute the value in the expression then
J³k/h⁰
After putting the values the expression become
(-1)³-12/8⁰
(-1)(-12)/1
After solving the value become
12/1
12.
now the value of expression become is the 12 after put all the values in it.
So, The value of equation which is given is 12.
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Which of the following functions is graphed below?
The definition of the given piecewise function is:
[tex]y = x^3 - 3, x \leq 2[/tex][tex]y = x^2 + 6, x > 2[/tex]What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
In this problem, for x until 2, the function is the cube function shifted down 3 units, hence the definition is:
[tex]y = x^3 - 3, x \leq 2[/tex]
For x greater than 2, the function is the square function shifted up 6 units, hence the definition is:
[tex]y = x^2 + 6, x > 2[/tex]
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HELPPPPPPPPPPPPPPPPPPP!
Answer: Real, equal, rational.
Step-by-step explanation:
[tex]-x^2-8x-16=0\\-(x^2+8x+16)=0\\Multiply \ the\ left \ and\ right \ sides\ of\ the\ equation\ by \ -1:\\x^2+8x+16=0\\x^2+2*x*4+4^2=0\\(x+4)^2=0\\x+4=0\\x=-4.[/tex]
20 points please help me I'm desperate and I will mark brainlyist
Answer:
(a) 48, 52, 54
(b) 6
(c) b, c
Step-by-step explanation:
The sample mean is the mean of the sample. The range of sample means is the difference between the largest and smallest. As with all sampling processes, more data gives a better estimate.
(a)The sample means are calculated in the attachment. For the different samples, they are ...
485254(b)The range of the sample means is the difference between the largest and the smallest:
range = 54 -48 = 6
(c)More data is better, and the closer the estimates are to each other, the better confidence they offer. The true statements are ...
A single sample mean will tend to be a worse estimate than the mean of the sample means.The closer the range of sample means is to zero, the more confident they can be in their estimate.What is the probability that two people have a birthday in May?
Step-by-step explanation:
There is 31 days in May so the probability is
[tex]p(bday \: in \: may) = \frac{2}{31} [/tex]
Using the same functions given above, find (h−f)(x).
The results of subtraction of functions are listed below:
x - 8m(x) = x² + 10 · x + 5m(3) = 44How to use the subtract function operatorThere three fundamental binary operators (addition, multiplication, composition) and two secondary binary operators (subtraction, division) for functions. The subtraction is operation derived from addition, defined by the following expression:
(h - f) (x) = h(x) - f(x) (1)
Now we proceed to develop each expression:
i) (h - f) (x):
h(x) = 2 · x - 3, f(x) = x + 5 Given(h - f)(x) = (2 · x - 3) - (x + 5) Definition of subtraction between functions(2 · x - x) + [(- 3) + (- 5)] Associative and commutative properties / (- 1) · a = - ax - 8 Distributive property / Definitions of addition and subtraction / Resultii) m(x) = (g - j) (x):
g(x) = x² + 6 · x + 5, j(x) = - 4 · x Givenm(x) = (x² + 6 · x + 5) - (- 4 · x) Definition of subtraction between functionsm(x) = x² + (6 · x + 4 · x) + 5 Associative, commutative and distributive property / (- a) · (- b) = a · bm(x) = x² + 10 · x + 5 Distributive property / Definition of adition / Resultiii) m(3):
m(3) = 3² + 10 · 3 + 5
m(3) = 9 + 30 + 5
m(3) = 44
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Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch? 0.2 inch 0.9 inch 4.2 inches 26.5 inches
The distance between the two schools on the map is (C) 4.2 inches.
What is the distance?Distance is a numerical measurement of the distance between two objects or places. The distance can refer to a physical length or an estimate based on other criteria in physics or common usage. The distance between two points A and B is commonly expressed as |AB|.To find the distance:
On the map,2 inches represents 5 miles.
Thus, we can write:
2 miles = 2 inches1 mile = 2/5 inches ..... (1)Since the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1).
10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.Therefore, the distance between the two schools on the map is (C) 4.2 inches.
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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?
(A) 0.2 inch
(B) 0.9 inch
(C) 4.2 inches
(D) 26.5 inches
The rock does 1,000 bicep curl-ups on monday.on tuesday he does 30% more bicep curl-ups. on wednesday he does 45% more. how many more bicep curl-ups does he do on wednesday compared to monday
Answer:
either 885 more or 450 more
Step-by-step explanation:
Monday: 1000
Tuesday: 1000*1.3 = 1300
Wednesday:
I'm assuming 45% more from tuesday?
1300*1.45 = 1885
or if not:
1000*1.45 = 1450
either 885 more or 450 more
you can also just do 1000*1.3*1.45 = 1000*1.885 = 1885 if thats what the question means
Im so confused please help!!
The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively
Solving quadratic equationQuadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;
y = 4x^2 + 8x -5
The x-intercept is the point where the value of y is zero.
Factorize the resulting expression
y = 4x^2 + 8x -5
y = 4x^2 - 2x + 10x -5
y = 2x(2x-1)+5(2x -1)
y = (2x-1)(2x+5)
The factored form of the expression is (2x-1)(2x+5)
Equate the given factors to zero
(2x-1)(2x+5) = 0
Equate the factors to zero
2x - 1 = 0
2x = 1
x = 1/4
Similarly
2x + 5 = 0
2x = -5
x = -5/2
Hence the x-intercept of the function is 1/4 and -5/2 respectively
C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity
D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.
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