NO LINKS!! What is the equation shown in the smaller circle shown in the figure?
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
The general equation of ellipse is :
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {x}^{2} }{ {a}^{2} } + \cfrac{ {y}^{2} }{ {b}^{2} } = 1[/tex]
[ because it's a horizontal ellipse with centre at origin ]
so, let's equate given equation with the standard equation ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {x}^{2} }{64} + \cfrac{ {y}^{2} }{36} = 1[/tex]
se get :
a² = 64 ; a = 8b² = 36 ; b = 6As we know, length of minor axis is : 2b = 2 × 6 = 12 units
and, the smaller circle has diameter = 2b = 12 units
so, it's radius = 6 units ~
Now, let's write the equation of circle with origin as centre and radius = 6 units
[tex]\qquad \sf \dashrightarrow \: {(x - h)}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
[ h = 0, k = 0, since circle has centre at origin ]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} = 36[/tex]
Answer:
[tex]x^2+y^2=36[/tex]
Step-by-step explanation:
Equation of the red eclipse (taken from your previously posted question):
[tex]\dfrac{x^2}{64}+\dfrac{y^2}{36}=1[/tex]
General equation of an ellipse
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]
where:
(h, k) is the center[tex](h \pm a,k)\: \textsf{and}\:(h, k \pm b)\: \textsf{are the vertices}[/tex]As the center of the red ellipse is (0, 0) ⇒ h = 0, k = 0.
[tex]\implies a^2=64 \implies a=\sqrt{64}=\pm8[/tex]
[tex]\implies b^2=36 \implies a=\sqrt{36}=\pm6[/tex]
The Major Axis is the longest diameter of an ellipse.
Therefore, using the formula for the vertices, the vertices of the major axis of the red ellipse are (8, 0) and (-8, 0).
The Minor Axis is the shortest diameter of an ellipse.
Therefore, using the formula for the vertices, the vertices of the minor axis of the red ellipse (0, 6) and (0, -6).
Therefore, the radius of the larger circle is 8 units and the radius of the smaller circle is 6 units (half the respective axis, since the radius of a circle is half its diameter).
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (0, 0)radius = 6 unitsThe equation of the smaller circle is:
[tex]\implies (x-0)^2+(y-0)^2=6^2[/tex]
[tex]\implies x^2+y^2=36[/tex]
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Related Questions
Determine the real life solutions of 9x^2+6x+1=0
Answers
Answer:
1 (double root)
Step-by-step explanation:
Given quadratic equation:
[tex]9x^2+6x+1=0[/tex]
To find the solutions to the given quadratic equation, factor the equation.
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to ac and sum to b.
[tex]\implies ac=9 \cdot 1=9[/tex]
[tex]\implies b=6[/tex]
Therefore, the two numbers are: 3 and 3.
Rewrite the middle term as the sum of these two numbers:
[tex]\implies 9x^2+3x+3x+1=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 3x(3x+1)+1(3x+1)=0[/tex]
Factor out the common term (3x + 1):
[tex]\implies (3x+1)(3x+1)=0[/tex]
Therefore:
[tex]\implies(3x+1)^2=0[/tex]
This means that the curve has one root with multiplicity 2. So the curve touches the x-axis and bounces off the axis at one point. (See attached graph).
Apply the zero-product property:
[tex]\implies 3x+1=0 \implies x=-\dfrac{1}{3}[/tex]
Therefore there is one real solution of the given quadratic equation.
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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0) B(6, 0) C(6, 7) D(2, 7)
What is the area of rectangle ABCD?
Answers
Check the picture below.
Answer: 28 [tex]units^{2}[/tex]
Step-by-step explanation:
You can work 40 hours per pay period while attending school earning $12.50 an hour. There are two pay periods per month. NOW Assume you have deductions for health care of $25 per pay period and 401K deduction of $50 per pay period. These deductions are pretax.
Gross Pay per pay period: $
Taxable Income per pay period:
You pay 11% in federal taxes. Federal tax withholding per pay period: $
Use the state tax rates below and calculate State tax withholding per pay period: $
(round to two decimals)
-- from image...
Calculate FICA withholding per pay period: $
Calculate Medicare withholding per pay period: $
(round to two decimals)
What is your Net pay per pay period: $
(round to two decimals)
Answers
Answer:
Step-by-step explanation:
yes
The gross pay, taxable income, withholding taxes, and net pay can be computed as follows:
a) The gross pay per pay period = $500
b) Taxable income per pay period = $425
c) Federal tax withholding per pay period = $46.75
d) FICA withholding per pay period = $26.35
e) Medicare withholding per pay period = $6.16
f) State tax wtihholding per pay period = $10
g) Net pay per pay period = $335.74
How the gross earnings, net pay, taxable income, and withholdings are computed:The number of hours per pay period = 40 hours
The number of pay periods in a month = 2
The total number of hours worked per month = 80 hours (40 x 2)
Earnings per hour = $12.50
a) The gross pay per pay period = $500 (40 x $12.50)
Deductions per pay period:
Health care = $25
401k = $50
The gross pay per pay period = $500
Total deductions per pay period = $75
b) Taxable income per pay period = $425 ($500 - $75)
c) Federal tax withholding per pay period = $46.75 ($425 x 11%)
d) FICA withholding per pay period = $26.35 ($425 x 6.2%)
e) Medicare withholding per pay period = $6.16 ($425 x 1.45%)
f) State tax wtihholding per pay period = $10 ($500 x 2%)
Total withholding taxes = $89.26
g) Net pay per pay period = $335.74 ($425 - $89.26)
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Five interlocked, colored rings make up the Olympic symbol. The rings are
blue, black, red, yellow, and green and represent Africa, the Americas, Asia,
Australia, and Europe. The symbol looks like this:
1. In how many ways could the five colors of the Olympic symbol have been
arranged among the rings?
Answers
Answer:
120
Step-by-step explanation:
5 rings 5 colors
for the first ring there are 5 colors to choose from
4 colors for the second
3 for the third
2 for the fourth
1 for the last one
so 5! = 120
Which geometric sequence has a common ratio of -9? (only one is correct)
a) {-1, -9, 81, 729, …}
b) {-9; -81; -729; -6,561; …}
c) {1, -9, 81, -729, …}
d) {81; 729; 6,561; 59,049; …}
Answers
C
1, -9 , 81 , -729 .....
ratio :-
R1 = -9/1 = -9
R2 = 81/-9 = -9
R3 = -729 / 81 =-9
so ,. R1= R2= R3
For the following geometric sequence find the explicit formula.
(12, -6, 3, ...]
Answers
Answer: [tex]a_n=12(-\frac{1}{2})^{n-1}[/tex]
Step-by-step explanation:
Let's first find the common ratio this sequence. To get to the next term, we divide by 2 and we alternate signs. Hence, the common ratio is [tex]-\frac{1}{2}[/tex].
We can now use the formula [tex]a_n=a_1(r)^{n-1}[/tex] to get the formula, where [tex]a_1[/tex] is the first term and r is the common ratio.
[tex]a_n=a_1(r)^{n-1}\\a_n=12(-\frac{1}{2})^{n-1}[/tex]
Prove usin's Mathematical induction 2^n ≤(n+1)!, for n≥0
Answers
Answer:
Step-by-step explanation:
2^0 is less than or equal to 1!, because 1<= 1
if 2^n <= (n+1)!, we wish to show that 2^(n+1) <= (n+2)!, since
(n+2)! = (n+1)! * (n+2), and (n+1)!>= 2^n, then we want to prove that n+2<=2, which is always true for n>=0
Identify the lateral area and the surface area of a cube with edge length 15 in.
Answers
The Lateral area of the cube = 900 in.²
The Surface area of the cube = 1,350 in.².
What is the Lateral Area of a Cube?A cube's lateral area is the area covered by the lateral surfaces of the cube shape. The formula for the lateral area of a cube is given as: LA = 4a², where:
a = edge length of cube.
What is the Surface Area of a Cube?The surface area of a cube is the total area of all its 6 surfaces. The formula for finding the surface area of a cube is: 6a², where:
a = edge length of cube.
Edge length of cube (a) = 15 in.
Lateral area = 4a² = 4(15²)
Lateral area = 4(225)
Lateral area of the cube = 900 in.²
Surface area = 6a² = 6(15²)
Surface area = 6(225)
Surface area of the cube = 1,350 in.².
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How can you make a 95% confidence interval smaller without changing the confidence level?
Answers
Step-by-step explanation:
1. Lower the confidence level.
2. Use a one-sided confidence interval. ...
3. Increase the sample size. Often, the most practical way to decrease the margin of error is to increase the sample size. ...
4. Reduce variability. The less that your data varies, the more precisely you can estimate a population parameter. ...
PLEASE MARK ME AS BRAINLIST
Answer:
Increase the sample size.
Usually, the more observations that you have, the narrower the interval around the sample statistic is.
A client named Tommy wants us to prepare a 3300-word Marketing Report + Poster. If a task is quantifiable by word count, we charge $110 per 1000 words. If a task is not quantifiable by word count, we estimate how many hours are required to complete the task and we charge based on $5 per hour. How much should we charge Tommy? Work out the total price.
Answers
The amount we should charge Tommy is $363.
What does the amount charged mean?When you charge someone money, you are requesting payment from them in exchange for something you have either sold to them or performed for them.The total sum that the Owner is obligated to pay under the charge obligations as outlined in the payment schedule is referred to as the "Total Charge Amount."How much should we charge Tommy:
The amount charged for 1000 words = $110
The amount charged per word = $110/1000
Amount to be charged for 3300 words = $(110/1000) × 3300
= $(0.11) × 3300
= $363
The amount we should charge Tommy is $363.
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What are the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2?
Answers
The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)
How to determine the potential zeros of the function f(x)?The function is given as:
f(x)=6x^4+ 2x^3 - 4x^2 +2
For a function P(x) such that
P(x) = ax^n +...... + b
The rational roots of the function p(x) are
Rational roots = ± Possible factors of b/Possible factors of a
In the function f(x), we have:
a = 6
b = 2
The factors of 6 and 2 are
a = 1, 2, 3 and 6
b = 1 and 2
So, we have:
Rational roots = ±(1, 2)/(1, 2, 3, 6)
Split the expression
Rational roots = ±1/(1, 2, 3, 6)/ and ±2/(1, 2, 3, 6)
Evaluate the quotient
Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 1, 2/3, 1/3)
Remove the repetition
Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 2/3)
Hence, the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)
The complete parameters are:
The function is given as:
f(x) = 3x^3 + 2x^2 + 3x + 6
The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)
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Find the total surface area.
answer choices
A. 731 cm²
B. 649 cm²
C. 900 cm²
D. 770 cm²
Answers
consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells
a. how many degrees of freedom are there in determining the A variation and the factor B variation
b. how many degrees of freedom are there in dreaming the interaction variation
c. how many degrees of freedom are there in determining the random variation
d. how many degrees of freedom are there in determining the total variation
Answers
In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.
What is a two-factorial design?A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.
Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.
From the data given:
a.
In calculating the factor A variation, there are two degrees of freedom.
In determining the variation of factor B, there are two degrees of freedom.
b.
Finding the degree of freedom using the interaction variation, there are four degrees of freedom.
c.
In finding the random variable, there are 9(4-1) = 27 degrees of freedom.
d.
In calculating the total variable, there are 9*4-1 =35 degrees of freedom.
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2d(3*6)=48y when y=1/4
Answers
Answer: d = 1/3
Step-by-step explanation: 48y = 48/4 = 12. So, 2d(18) is equal to 12. 12/18 is 2/3 so 2d has to equal 2/3. That means d = 1/3.
Using a number line, find both the intersection and the union of the following
intervals:
(-∞, 6) and (-∞, 9)
Answers
The intersection of the two intervals in the number line will be = 4, 5, 6,.......+∞ = (-∞,6).
The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-∞),9)
How to illustrate the information?The given intervals are;
First interval = (-∞, 6)
Second interval = (-∞, 9)
Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞
The second interval includes, 4, 5,.....,+∞
Which gives the intersection as 4, 5, 6,7, 8,9......+∞
The union is the interval that combines the two sets of intervals which is given as follows;
The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞
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Maytag Company earns $2.60 per share. Today the stock is trading at $46. The company pays an annual dividend of $1.60 a. Calculate the price-earnings ratio (Round your answer to the nearest whole number.) Price-earings natio b. Calculate the stock yield. (Round your answer to the nearest tenth percent.) Stock yield
Answers
a. The price-earnings ratio of Maytag Company's stock is 17.
b. The stock yield of Maytag Company's stock is 3.48%.
What are the price-earnings ratio and stock yield?The price-earnings ratio is a financial measurement of the worth of Maytag Company.
The price-earnings (P/E) ratio is computed as the current stock price divided by the company's earnings per share.
The P/E ratio shows the potential investor how much to pay per share for each $1 of earnings.
The stock yield is a financial measurement that shows the dividends paid relative to the market value per share.
Data and Calculations:Earnings per share = $2.60
Current share price = $46
Annual dividend = $1.60
a. Price-earnings ratio = Price per share/earnings per share
= 17 ($46/$2.60).
b. Stock yield = Annual dividend per share/Current stock price x 100
= 3.48% ($1.60/$46 x 100)
Thus, while the price-earnings ratio is 17, the stock yield is 3.48%.
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Given 3x^2+x-4/x-1 what are the domain and range
Answers
Answer:
doman: x ≠ 1range: y ≠ 7Step-by-step explanation:
The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.
SimplifiedThe given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...
[tex]\dfrac{3x^2+x-4}{x-1}=\dfrac{(x-1)(3x+4)}{(x-1)}=3x+4\quad x\ne 1[/tex]
DomainThe simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...
x ≠ 1
In interval notation, this is ...
(-∞, 1) ∪ (1, ∞)
Range
The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...
y ≠ 7
In interval notation, this is ...
(-∞, 7) ∪ (7, ∞)
A candle on pauline’s dresser is 10 inches tall and burns at a rate of 0.75 inches per hour. how many hours will it take for the candle to burn down to a height of .25 inches?
Answers
Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:
h(t) = 10 - 0.75t
The height will be of 0.25 inches when h(t) = 0.25, hence:
0.25 = 10 - 0.75t
0.75t = 9.75
t = 9.75/0.75
t = 13 hours.
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SOLVE THIS FOR ME PLEASE
Answers
B = 2
C = 0.01
D = -2
A 30g bullet travelling horizontally at 50 m/s penetrates 10 cm into a wooden block. The average force exerted by the block is:
Answers
The average force exerted by the block exists at -375 N.
How to find the average force exerted by the block?Given:
Initial Velocity, u = 50m/s
Displacement, s = 10cm = 0.10m
Mass, m = 0.03Kg
Using the relation,
[tex]$v^{2}-u^{2}=2 a s[/tex]
Substitute the values in the above equation, we get:
[tex]$&0^{2}-50^{2}=2 \mathrm{a}(0.10) \\[/tex]
[tex]$ \mathrm{a}= -12500 \mathrm{~ms}^{-2}[/tex]
We know that, f = ma
Putting the values, we get:
f = (0.03)(-12500)
f = -375 N
The average force exerted by the block exists at -375 N.
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The answer to this problem please and thank you
Answers
Answer:
C
Step-by-step explanation:
The red dotted line we see is the asymptote, which is a line that the functions will never cross.
The asymptotes we see currently is:
x = -3
and
x = 2
We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:
(x-2) (x+3)
If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.
Answer:
C
Step-by-step explanation:
there are 2 vertical asymptotes at x = - 3 and x = 2
then the factors on the denominator will be (x + 3) and (x - 2)
then
f(x) = [tex]\frac{1}{(x-2)(x+3)}[/tex]
Let f(x)=x^2 and g(x)=(x+3)^2. Describe the transformation from f(x) to g(x).
Select one:
Shift right 3
Shift up 3
Shift down 3
Shift left 3
Answers
Answer:
shift left 3
Step-by-step explanation:
(x+3)²
x = -3
therefore translation by (-3,0)
The negative number shows it move to the left
X is 30% of Y and Y is 45% of 600. What is the value of X?
Answers
Answer:
X = 81
Step-by-step explanation:
600 × 0.45 = 270
270 × 0.3 = 81
X = 81
How many three-digit multiples of 5 have three different digits and at least one prime digit?
Answers
Using the Fundamental Counting Theorem, it is found that there are 124 three-digit multiples of 5 that have three different digits and at least one prime digit.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
Multiples of 5 finish at 0 or 5, hence the parameters to find the number of three-digit multiples of 5, with different digits are:
[tex]n_1 = 9, n_2 = 8, n_3 = 2[/tex]
And the number is:
N = 9 x 8 x 2 = 144.
With no prime digits, 2, 3, 5 and 7 cannot be used, hence the parameters are:
[tex]n_1 = 5, n_2 = 4, n_3 = 1[/tex]
Hence 20 of the numbers have no prime digits, and 144 - 20 = 124 have at least one prime digit.
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HELP. Which statement best describes the domain of the function represented in the graph?
05 ≤x≤ 60, or x is from 5 to 60 05 ≤ x ≤ 30, or x is from 5 to 30 O 30 ≤ x ≤ 60, or x is from 30 to 60 00≤x≤ 30, or x is from 0 to 30
Answers
The list below shows the height, in meters, of an ocean's first high tide for each of 6 days.
1.72 1.8 1.86 1.88 1.74 1.86
What is the mean height of the ocean's first high tide for the 6 days?
1.81 meters
1.83 meters
1.86 meters
1.87 meters
Answers
The required mean height of the ocean at first high tide is 1.81 meters. Option A is correct.
Given that,
The list below shows the height, in meters, of an ocean's first high tide for each of 6 days.
Number of days = 1 2 3 4 5 6 Total = 6
1.72 1.8 1.86 1.88 1.74 1.86
What is average?
The average of the values is the ratio of the total sum of values to the number of values.
Since the mean of the heights of the tides,
= sum of heights / number of heights observation
= (1.7 + 1.8 + 1.86 + 1.88 + 1.74 + 1.86)/6
= 10.86/6
= 1.81 meters
Thus, the required mean height of the ocean at first high tide is 1.81 meters. Option A is correct.
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Sports clubs have increasingly been acknowledged as important settings for health promotion. The term sport club is synonymous with organized sport and both are considered to consist of environments that support the healthy behaviors of its athletic members. One of the member Sanjaya pays rupees 500 in advance on his account at a sports club ,each time he visits the club 10 rupees is deducted from his account. Q6. Which of the following equation represent the left balance of sanjaya’s y after visiting x number of days? * A) y=500+10x B) y=10+500x C) x=500-10y D) y=500-10x NO RESPONSE
Answers
The linear equation that represent the left balance of sanjaya’s y after visiting x number of days is:
y = 10x + 500.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.From the data given, we have that:
The y-intercept is of 500.The slope is of 10.Hence the balance is given as follows:
y = 10x + 500.
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Find the value of u -8 given that -7u-5=2
Answers
Answer: u - 8 = -9
Step-by-step explanation:
Given equation
-7u - 5 = 2
Add 5 on both sides
-7u - 5 + 5 = 2 + 5
-7u = 7
Divide -7 on both sides
-7u / (-7) = 7 / (-7)
u = -1
Substitute values into the goal expression
u - 8 = (-1) - 8 = [tex]\Large\boxed{-9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The answer is -9.
First, let's find the value of u.
-7u - 5 = 2-7u = 7u = -1Now, substitute in the expression.
u - 8(-1) - 8-9MR MARK MARKS HIS CLASS ON A NORMAL CURVE. THOSE WITH z-SCORES ABOVE 1.8 WILL RECEIVE AN A, THOSE
BETWEEN 1.8 AND 1.1 WILL RECEIVE A B, THOSE BETWEEN 1.1 AND -1.2 WILL
RECEIVE A C, THOSE BETWEEN -1.2 AND -1.9 WILL RECEIVE A D, AND THOSE
UNDER -1.9 WILL RECEIVE AN F.
FIND THE PERCENT OF GRADES THAT WILL BE
A, B, C, D, AND F.
Answers
Using the normal distribution, it is found that the percentages are given as follows:
3.59% of the grades will be A.9.98% of the grades will be B.74.92% of the grades will be C.8.64% of the grades will be D.2.87% of the grades will be F.Normal Probability DistributionThe 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 prorportion of students who receive an A is one subtracted by the p-value of Z = 1.8.
Looking at the z-table, Z = 1.8 has a p-value of 0.9641.
1 - 0.9641 = 0.0359.
3.59% of the grades will be A.
For B, it is the p-value of Z = 1.8 subtracted by the p-value of Z = 1.1, hence:
0.9641 - 0.8643 = 0.0998.
9.98% of the grades will be B.
For C, it is the p-value of Z = 1.1 subtracted by the p-value of Z = -1.2, hence:
0.8643 - 0.1151 = 0.7492.
74.92% of the grades will be C.
For D, it is the p-value of Z = -1.2 subtracted by the p-value of Z = -1.9, hence:
0.1151 - 0.0287 = 0.0864.
8.64% of the grades will be D.
For F, it is the p-value of Z = -1.9, hence 2.87% of the grades will be F.
More can be learned about the normal distribution at https://brainly.com/question/15181104
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A movie theater has a seating capacity of 331. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 2404, How many children, students, and adults attended?
Answers
Answer:
87 adults
174 children
70 students
Step-by-step explanation: