Suppose that your statistics professor tells you that the scores on a midterm exam were approximately
normally distributed with a mean of 78 and a standard deviation of 7. The top 15% of all scores have
been designated A’s. Your score is 89. Did you earn an A? Explain.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

Use the formula to find z-scores:

z = (x - μ)/σ

We have:

z = 1.04, μ = 78, σ = 7

Substitute the values and solve for x:

1.04 = (x - 78)/7x - 78 = 7.28x = 85.28

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A


Related Questions

As an estimation we are told £3 is €4.
Convert £33 to euros.

Answers

Answer:

44 euros

Step-by-step explanation:

if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,

3/4 = (3/4)(11/11)

so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros

What is the measure of ACB in O below?​

Answers

Answer:

A

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A

Could someone please help me solve these?

Answers

In advance, I hope nothing I say sounds condescending; I just don’t know how much you know lol. Also geometry sucks

They’re vertical angles (they’re opposite angles when 2 lines intersect). Since vertical angles are congruent, we can set up an equation to solve for the value of x.
If they’re both equal, we’ll say exactly that in our equation!

2x + 90 = 4x + 30

Combine like terms

2x = 60

Simplify

x = 30

Now, just plug in 30 for one of the x values in either of the equations

2(30) + 90 = 150

Angle = 150 °

Hope this helped!

What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …

Answers

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

What is the length of DF?

Answers

Answer:

Step-by-step explanation:

Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.

What the measurements for b ? * just different problems*

Answers

If you look closely, you can see that both angles b and the 43 degree angle together make a right angle. (You can tell this by the red line.) A right angle is 90 degrees. To solve this, all you would have to do is take the 90 (both angles combined) and subtract it by the number you already have (43).

Angle b = 47 degrees.

Hope this helps :)

1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?

Answers

Here you go:

a) f(x)= (3x-1)(x+2)
This is factoring. It helps you find the zeros if you set this equal to zero. You can clearly identify what the zeros are.

b) (3x-1)(x+2)=0
x=1/3, x=-2

Plug those back into the equation to see if they work. In this case they do so those are your answers.

Hay 31 personas en un café.Si hay 5 hombres más que mujeres,¿Cuantos hombres y mujeres hay en el café?

Answers

Answer: Hay 13 mujeres. (No hablo espanol.)

Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair


There are 10 parts on the spinner 4 orange, 5 blue and 1 grey.

Answers

Answer:

no

Step-by-step explanation:

because it's unequal

evaluate 999^3 by using suitable identity​

Answers

The answer is:

999^3 = 997002999

1] Angelo used 425 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use? ***HINT: 1 meter = 100 centimeters*** *

Answers

Answer:

4.25 meters

Step-by-step explanation:

425/100 = 4.25

or move the decimal to the left 2 places. One place for each zero in 100.

Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)

Answers

Answer:

5x^2 - 3x -5

Step-by-step explanation:

You simplify the like terms

Remember to use distributive property to do the (7x-3x^2+5) part

Simplify 2x2x4. 7(234)0385

Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?​

Answers

Answer:

17/100×15.30=2.60

9/100×15.30=1.37

15.30-(1.37+2.60)=11.33

In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.

Answers

Answer:

29 feets 3 inches

Step-by-step explanation:

We need to obtain the actual height of oak tree :

Converting measurement to inches :.

1 Feet = 12 inches

Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in

Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in

Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in

Let actual tree height = TH

Using the relation :

SA / SS = TH / TS

70 / 90 = TH / 891

Cross multiply :

90 * TH = 891 * 70

TH = (891 * 70) / 90

TH = 693 inches

Height of house = 28ft 6 in = (28*12 + 6) = 342 in

Height difference :

(693 - 342) in = 351 inches

351 in / 12 = 29 feets 3 inches

round the whole number 21,908 to the nearest thousands place

Answers

i believe it would be 22,000

Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up

I really need help with this problem

Answers

Answer:

Measure of angle K is 52.5 degrees

Step-by-step explanation:

Here, we have a case of two sides being congruent

mathematically when two sides are congruent, then we have an isosceles triangle

For an isosceles triangle, the base angles are equal

LM faces K , while M faces KL

What this mean is that L faces KM

From above, we can see that K = M = ?

Let us call this x

Mathematically, the sum of angles in a triangle is 180 degrees

75 + x + x = 180

2x = 180-75

2x = 105

x = 105/2

x = 52.5


Help Me please!!!!! Rn

Answers

Answer:

20 degrees

Step-by-step explanation:

The sum of inner angles of a triangle is 180 degrees

120 + 40 + x = 180

160 + x = 180

x = 20

Answer:

A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)

A = 180-120-40

A = 20°

Find x. Round to the nearest degree.

Answers

Answer:  56 degrees approximately

==========================================

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 15/10

tan(x) = 1.5

x = arctan(1.5)

x = 56.3099 approximately

x = 56 degrees

Note: arctan is the same as inverse tangent

A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.

Answers

Answer:

The cost price = GHc 16.00

Step-by-step explanation:

Selling price = GHC 20.00

Profit Percent = 25%

Cost price = ?

Formula for finding cost price =

[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]

Let's insert the numbers

[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]

So therefore ; the cost price is GHC 16.00

Which graph represents the function p(x) = |x - 1|?

Answers

Step-by-step explanation:

Fourth graph represent the function p(x) = |x – 1|

Answer:

B

Step-by-step explanation:

Just did the unit test

Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)

Answers

The first one because I just didn’t at clases

Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?

Answers

Answer:

Each shirt costs $18.50

Step-by-step explanation:

Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.

First, read the information carefully and then summarize what you are given in short sentences. Pat bought  6  shirts.  He paid using a check and cash.

The total amount paid was  $ 25  +  $ 86  =  $ 111

The shirts all cost the same price.

The cost of each shirt was:  111  ÷  6  =  $ 18.50

Answer:

Each shirt was 18.50

Step-by-step explanation:

The total cost of the 6 shirts was 25+86 = 111

Divide the total by 6 to find the cost of each shirt

111/6 =18.5

Each shirt was 18.50

The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.

Answers

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

[tex]f(n)=3n[/tex]

Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].

What’s the least number of faces a polyhedron can have? And why?

Answers

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

f(x) = 3x - 4

x is -2

Answers

plug in -2 in x. Which will give you x=2/3

What is the value of x, given that AE || BD?​

Answers

Answer:

options number 1 is the answer

Determine the surface area of the shape below.

Answers

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

help with the questions below!

Answers

Answer:

b

Step-by-step explanation:

A pack of six cans of coffee cost $12. How much would 15 cans of
coffee cost?
Answer $30
Bc 6can = $12
If 1can =2$
So 15 cans =30$

Answers

Answer:

$30

Step-by-step explanation:

$12/6=$2/can

$2/can x 15 cans=$30

someone help me pleaseeeeee

Answers

Answer:

D

Step-by-step explanation:

All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.

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