) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states that the top 8% of the class will receive an A; the next 20% will receive a B; the next 42% will receive a C; the next 18% will receive a D; and the bottom 12% will receive an F. What grade must you exceed in order to receive a grade of C or better

Answers

Answer 1

Answer:

65.45

Step-by-step explanation:

Zscore = (x - mean) / standard deviation

x = score

Percentage below C :

D = 18% ; F = 12%

Sum = 30%

Obtain the Zscore for the proportion below D

P(Z < 0.30) = -0.524

Hence, Zscore = -0.524

Put Zscore = -0.524 in the equation :

-0.524 = (x - 72) / 12.5

-0.524 * 12.5 = x - 72

-6.55 = x - 72

-6.55 + 72 = x

x = 65.45

To receive a grade of C or better, score must be atleast 65.45


Related Questions

PLEASE ANSWER CORRECTLY WILL GIVE BRAINLIEST

Answers

Answer:

r = [tex]\sqrt{x} A/4\pi[/tex] , or the third option :)

Step-by-step explanation:

Answer:c

Step-by-step explanation:

A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends. What is the 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends

Answers

Answer:

The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends.

This means that [tex]n = 50, \pi = 0.78[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 - 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.6836[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 + 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.8764[/tex]

As a percent:

0.6836*100% = 68.36%

0.8764*100% = 87.64%

The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).

Pls help me pls pls I beg you

Answers

Answer:

3/32 in³

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length, width, and height.

[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]

Therefore, the volume is 3/32 in³.

Find the distance between points F and H.

Answers

Answer: 8

Since both are within the same “line”—just count the squares and that’ll be the distance
Just count the square but not the lines

What is the value of the geometric series?

3,069

1,533

1,023

Answers

Answer:

A.

Step-by-step explanation:

some1 hurry need help

Answers

Answer:

C) 11

Step-by-step explanation:

The common multiples less than 70 of 6 and 8 are: 24 and 48.  

If there are 24 blue and green (12 each), there would be 46 yellow and red.  Half of 46 is 23, which isn’t an answer choice.

If there are 48 blue and green (24 of each), there would be 22 yellow and red.  Half of 22 is 11.

In a certain​ city, the average​ 20- to​ 29-year old man is 69.6 inches​ tall, with a standard deviation of 3.1 ​inches, while the average​ 20- to​ 29-year old woman is 64.1 inches​ tall, with a standard deviation of 3.9 inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?

Answers

Answer:

the 20-29 year old man are relatively taller.

Step-by-step explanation:

for the old man we have next z- score=75-69.6/3.1=1.74

for the old women we have next z-score=70-64.1/3.9=1.51

I need help I'm confused again need help asap ​

Answers

Answer:

1/8th chance of spinning yellow

or as a decimal 0.125

Step-by-step explanation:

Hope this helps

their sum is -11 and the difference is 41

Answers

Answer:

x+41=-11 I guess

Step-by-step explanation:

5^2 - 3(3 -1) =


SHOW YOUR WORK STEP BY STEP PLS

Answers

25-9+3=19?
I think this is right

Answer:

x = 19

Step-by-step explanation:

Let's start solving:

5² - 3(3-1) = x

Multiply 5 and 5 and also multiply 3(3-1)

25 - (9-3) = x

Subtract 6 from 25

25 - 6 = x

Simplify

x = 19

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A pistol is accidentally discharged vertically upward from a height of 3 feet above the ground. If the bullet has an initial velocity of 200 feet per second the path of the bullet is modeled by the equation h=-16t 2 +200t+3, what maximum height will it reach before it starts to fall back down to the ground?

Answers

Answer:

hmax = 628 ft

Step-by-step explanation:

The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is

h(t) = -16t^2 + 200t + 3

Taking the derivative of h(t) is

h'(t) = -32t + 200

Solving for t when h'(t) = 0, we get

t = 200/32 = 6.25 s

and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get

h = -16(6.25 s)^2 + 200(6.25 s) + 3

= 628 ft

HELLO CAN SOMEONE HELP ME WITH THIS! MATH IM FAILING NO FAKE ANSWERS PLZ!

Answers

Answer:

45 square ft^2

Step-by-step explanation: The formula of the area of the trapezoid is A=(a+b)/2 x h. A represents the top while b represents the bottom. 15+3=18 and 18/2=9. If multiply the result by 5, you get 45 as the answer.

What is the median of the data?

3
8
5
5.5

Answers

Answer:

Median= middle number

(Example) 1, 4 ,6, 7 ,12

6 Would be the median here

so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,

5 Is the middle number and the median

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8

Hope this helped! Please leave any questions or concerns in the comments byeee <3

PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm

Answers

Answer:

135cm^3

Step-by-step explanation:

The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.

Answers

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

25. The sides of the base of the square prism drawn below have been doubled, but its height has not been changed. Determine the ratio of the prism's new volume to its original volume.

A.8:1
B.2:1
C.4:1
D.16:1​

Answers

Do you have a picture to go with it

Answer:4:1

Step-by-step explanation:





The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?

Answers

Answer:

There is a 10 percent increase

Write an equivalent expression for -24 + 54n.​

Answers

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

10. A company is considering building a manufacturing plant. They determined the weekly
production coast at site A to be A(x) = 3x2 while the production cost at site be is B(x) =
8x + 3, where x represents the number of products, in hundreds, and A(x) and B(x) are
the production costs in hundreds of dollars.

Answers

Answer:

3

Step-by-step explanation:

i don't know i had to answer this and i put 300 but apparently its 3..?

Given f(x) =
2 cos(7x), for x < -1
2
for x > -1
COS (1x)
What is lim f(x)?
X - - 1

Answers

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.[/tex]

And we want to find:

[tex]\displaystyle \lim_{x\to -1}f(x)[/tex]

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

[tex]\displaystyle \lim_{x\to-1^-}f(x)[/tex]

Since we are approaching from the left, we will use the first equation:

[tex]\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)[/tex]

By direct substitution:

[tex]=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2[/tex]

Right-Hand Limit:

[tex]\displaystyle \lim_{x\to -1^+}f(x)[/tex]

Since we are approaching from the right, we will use the second equation:

[tex]=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}[/tex]

Direct substitution:

[tex]\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2[/tex]

So, we can see that:

[tex]\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2[/tex]

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

[tex]\displaystyle \lim_{x \to -1}f(x)=-2[/tex]

Our answer is A.

Answer:

AAAAAAAAAAAAAAAAA

Step-by-step explanation: EDGE 2022

Help Emergency!
Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
She needs to find the approximate surface area of the attic, including the walls floor, and
ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes
the expression below to represent the surface area of the attic. Are Linda's net and
expression correct?

Answers

Answer:

4,350

Step-by-step explanation:

I'm taking the diagnostic

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The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References

Answers

OH WOW STEP BY STEP









CMON DAWG

What is 713,753 rounded to the nearest hundred thousand?

Answers

Answer:

700,000

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

It's closer to 700,000 than 800,000. Hope this helps! Have a nice day :)

Solve the system of equations using substitution or graphing.
y= -x2 + 4x + 5
y= x + 1
OA) (-1,0) and (6,7)
OB) (-1,0) and (4,5)
C) (1, 2) and (4,5)
D) (1, 2) and (6,7)

Answers

The correct answer is (-4, -3)

HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!


A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20

b) 30

c) 50

d) 100

Answers

The answer is C 50 people because if you multiply the 40 percent by 2 you get 40 people then you can divide the 40 percent and add it to the 80 percent to get 50 ( ik it’s a lot)
The answer there is 50

2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?

Answers

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

6 There were 35 children and 10 adults at a cookout. What is the ratio of children to total people at the cookout?

Answers

7:9 because there are 35 children and 10 adults. Add 35 and 10 you get 35:45 then you simplify the ratio to get 7:9.

PLZ HELP PLZ PLZ this is my last final plz

A restaurant sells soups and salads. Soup costs $5.50, and a salad costs $8. On a particular day, the restaurant sells 58 items and makes $371.50.
Which system of equations can be used to find the amount of soup, x, and salad, y, the restaurant sold?
OA
5.50x = 58
8y = 371.50
OB.
5.50x = Sy
58x = 371.50y
x + y = 58
Oc.
5.50x + 8y = 371.50
x+y = 371.50
OD.
5.50x + 8y = 58

Answers

Answer:

b

Step-by-step explanation:

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?

Answers

The x-coordinate is negative, and the y-coordinate is negative.

This is because the y-axis is vertical, so reflecting across it means you will change the sign of the x-value, and the sign of the y-value will stay constant. Since we start off with a positive x and negative y, we will end up with a negative x and negative y.

HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)

Answers

Answer:

20 square meters

Step-by-step explanation:

area = length x width

area of grass = 4 x 4 = 16

area of grass and cement = 6 x 6 = 36

Now you subtract to find the area of the cement.

36 - 16 = 20

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