16% of students scored higher than 80 on a recent normally distributed exam the standard deviation is 10 what is the mean

Answers

Answer 1

Answer:

70.06

Mean score = 70

Step-by-step explanation:

16% of students scored higher than 80 on a recent normally distributed exam the standard deviation is 10 what is the mean

For a normal distribution :

Zscore = (x - mean) / standard deviation

x = score

P(Z > 80) = 16% = 0.16 ; corresponding Zscore = 0.994 (Z probability calculator)

Therefore ;

0.994 = (80 - mean) / 10

0.994 * 10 = 80 - mean

9.94 = 80 - mean

Mean = 80 - 9.94

Mean = 70.06

Hence, the mean score = 70.06 = 70


Related Questions

Thomas has 12 more marbles than twice the number of marbles Andrew has. Andrew has x marbles. Which expression represents how many marbles Thomas has?

Answers

Answer:

2x + 12

Step-by-step explanation:

Let

x = number of marbles Andrew has

Number of marbles Thomas has = 2x + 12

The expression which represents number of marbles Thomas has = 2x + 12

If Andrew has 2 marbles, that is, x = 2

Then, 2x + 12 = 2(2) + 12

= 4 + 12 = 16

Thomas = 16 marbles

En una muestra de 50 restaurantes de comida rápida, la venta media fue de $3.000, y la desviación estándar, $200. El intervalo de confianza del 95% es

Answers

Respuesta:

(2945.411; 3054.589)

Explicación paso a paso:

Dado ;

Tamaño de la muestra, n = 50

Media, xbar = 3000

Desviación estándar, s = 200

Nivel de confianza, Zcrítico al 95% = 1,96

El intervalo de confianza se define como:

Xbar ± margen de error

Margen de error = Zcrítico * s / sqrt (n)

Margen de error = 1,96 * 200 / sqrt (50)

Margen de error = 54.589

Límite inferior = (3000 - 54.589) = 2945.411

Límite superior = (3000 + 54.589) = 3054.589

(2945.411; 3054.589)

The area of a right triangle is 3gh. Find the height if the base is 3gh.
Area of a triangle: A = 1/2bh

Answers

Answer: height is 2

Step-by-step explanation:

A = 1/2bh

A = 3; b (base) = 3. Substitute these values in the formula and solve.

3 = 1/2*3*h = 3/2 h

h = 3 * (2/3) = 2

Answer:

Height = 2

Step-by-Step Explanation:

So, I'm not sure if "gh" is a measurement. But I'm thinking it should be solved like this.

Area =  3gh

Base = 3gh

Height = ?

Plug & Chug

3gh = 1/2 (3gh)(h)

2/1 · 3gh = 1/2 (3gh)(h) · 2/1

[tex]\frac{(2)(3gh)}{(3gh)\\}[/tex] = [tex]\frac{(3gh)(h)}{(3gh)}[/tex]

h = [tex]\frac{(2)(3gh)}{(3gh)}[/tex]

h = 2

Apologies if this is wrong, but I hope this helped!

The square below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

77%

Step-by-step explanation:

Find the missing ratio (n) from the two equivalent ratios 6:15 = n:35.

Answers

Answer:

Solution :-

[tex] \sf \: 6 \times 35 = 15 \times n[/tex]

[tex] \sf \: \dfrac{6 \times 35}{15} = n[/tex]

[tex] \sf \: 14 = n[/tex]

Value of n is 14

f (x) = -(x – 3)2 + 1
Vertex:
AOS:
Direction of opening:
Domain:
Range:
Solutions:

Answers

I really don’t know the answer to this question yet but ima get back to you on it.
vertex: (3,1)
AOS: x=3
Direction of opening: downward
Domain: All real numbers
Range: ySolutions: 2 and 4


I’m assuming the 2 is to square what’s in the parentheses

Solve for x.
4x - 4 <8 AND 9x + 5 > 23

Chose 1 answer:
A) 2 3
C) There are no solutions.
D) All values of x are solutions.

Answers

Answer:

C

Step-by-step explanation:

4 (2) - 4 < 8

4 < 8 (true)

9 (2) + 5 > 23

23 > 23 (not a true statement)

4 (3) - 4 < 8

8 < 8 (not a true statement)

9 (3) + 5 > 23

32 > 23 (true)

You conduct a survey in your school to find out each student's favorite fast food restaurant, and you want to create a graph showing the percentage of students who chose each restaurant. Which is the appropriate graph? stem-and-leaf
circle graph
line graph
scatter plot​

Answers

Answer:

circle graph

Step-by-step explanation:

A circle graph (pie graph) will show us the percentage the best way.

Answer:

answr is circle graph

Step-by-step explanation:


What is the area of the parallelogram?

Answers

I got 78.66, is there an answer choice like that?

Answer:

78.66cm squared

Step-by-step explanation:

6.90 x 11.40

Work out the point of intersection of the lines
2x + 3y = 11 and 2y = 13 – 3x

Answers

Answer:

x = 3.4

y = 1.4

Step-by-step explanation:

2x + 3y = 11

2y = 13 – 3x, then y = (13 - 3x)/2

substitute for y:

2x + 3((13 - 3x)/2) = 11

reduce:

2x + (39 - 9x)/2 = 11

reduce:

2x + 19.5 - 4.5x = 11

subtract 19.5 from both sides of the equation and combine for x:

-2.5x = -8.5

divide both sides by -2.5:

x = 3.4

y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4

Which set of coordinates will provide the verticals for the translation of HJK 4 units down

Answers

Answer:

oh ___ dam thats the ____ that I want

True or False
Is 2-1 = 21 ?

Answers

Answer:

false

Step-by-step explanation:

False.................

The speed of sound (shockwave) in an explosion is 100mph. How many seconds does the shockwave reach 2km away?​

Answers

Answer:

t = 44.73 s

Step-by-step explanation:

Given that,

The speed of a sound wave, v = 100 mph = 44.704 m/s

We need to find the time taken by the shockwave to reach 2 km i.e. 2000 m

We know that,

Speed = distance/time

So,

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{2000}{44.704}\\\\t=44.73\ s[/tex]

So, it will take 44.73 seconds to reach 2 km.

Which is NOT true about a direct proportion?

Answers

Answer:

Because it is acorrding to question answer

Answer:

Its graph must have a slope of 1

Step-by-step explanation:

Angles in triangles

Question is in the photo

Answers

Answer:

JSJXJX

Step-by-step explanation:

CF<DC<DE<DF<FE

What is the value of the expression (-3) + (-6)​

Answers

Answer:

-9

Step-by-step explanation:

b r a i n l i s t to the first person to answer


A rectangle has an area of 1,280.64 square miles and a base of 36.8 miles. What is the height?

Answers

Answer:

34.8 miles

Step-by-step explanation:

First, we know that Area = Length * Width. Let's plug in those values.

1,280.64 = x * 36.8 (I put the variable "x" there since we don't know what it is)

Now, solve for x (we want to have x by itself, so divide both sides by 36.8)

34.8 = x

Now that we know that the width of it is 34.8 miles, let's check our work.

34.8 * 36.8 = 1,260.64

This equation IS true, so:

The width of the rectangle is 34.8 miles. Hope this helps!

Mr. Correa’s financial planner says his net worth is $94,520.00. Using the table, below determine which of the following statements is true.

Answers

Answer:

Yes, because the sum of his assets is $125,480 and the sum of his liabilities is $20,960.

Step-by-step explanation:

help please I need to pass

Answers

Answer:

A. 7.3x + 9.6y +3.4z

hope this answer helps you.....

Answer:

B

Step-by-step explanation:

I hope what I've written helps yyou.

Help due soon!!!!!

If the equation (x+10)x=0 is true, which statement is also true according to the zero product property?

Group of answer choices

only x=0

either x=0 or x+10=0

either x^2=0 or 10x=0

only x+10=0

Answers

Answer:

: either x=0 or x+10=0

Step-by-step explanation:

Which expression is equivalent to 0.06h +h+0.85h? ​

Answers

Answer:

1.91h

Step-by-step explanation:

0.06h+h+0.85h

1.91h

Answer:

The first one asdfghjkfruyctdf

Step-by-step explanation:

What two numbers have a product of -72 and a sum of 1?

Answers

-7 and 8 because adding them gets you 1 and 8x7=72, but the -7 makes it -72

Step-by-step explanation:

-8 and 9

As 9 × (-8) = -72 and 9 + (-8) = 1

Hope my answer helps !

please help besties omg

Answers

Answer:

i believe it would be (iii) DTQ

Step-by-step explanation:

if im correct can i has brainliest

Answer:

DTQ is you're answer

Step-by-step explanation:

can i ave brainly i can help more

Please explain your steps when solving the equation:
-3b + 6 = 18

Answers

Answer:

b=-4

Step-by-step explanation:

-3b+6=18

-3b=12 (subtracted 6 from both sides)

b=-4 (divided both sides by -3)

-3b + 6 = 18
-6 =-6
-3b = 12

-3b/-3 =12/-3

B = -2

pls help with this !!

Answers

Answer:

25.12 so the nearest 10 is 25.10

Answer this please thank you

Answers

Answer:

The second graph

Step-by-step explanation:

hope it help

Geometry - Law of Sines question #17. Please help, I am stuck.

Answers

By the law of sines, m∠EFG is such that

sin(m∠EFG) / (8 in.) = sin(m∠G) / (7.5 in)

so you need to find m∠G.

The interior angles to any triangle sum to 180°, so

m∠DEG = m∠D + m∠G + 43°

m∠DEG + m∠D + m∠G = 2 (m∠D + m∠G) + 43°

180° = 2 (m∠D + m∠G) + 43°

137° = 2 (m∠D + m∠G)

68.5° = m∠D + m∠G

But ∆DEG is isosceles, so m∠D = m∠G, which means

68.5° = 2 m∠G

34.25° = m∠G

Then

sin(m∠EFG) = (8 in.) sin(34.25°) / (7.5 in)

m∠EFG ≈ sin⁻¹(0.600325) ≈ 36.8932°

A serving size of Oreo cookies is 3 cookies, which is 20% of a box of cookies. How many cookies come in a box?

Answers

Answer:

no one eats oreos fatty

Step-by-step explanation:

The number of cookies that came inside the box is 15.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A serving size of Oreo cookies is 3 cookies, which is  20% of a box of cookies.

Let 'x' be the number of cookies the box has.

Therefore 20% of 'x' is 3 which is,

(20/100)×x = 3.

0.2x = 3.

x = 3/0.2.

x = 15.

So, There are 25 cookies in the box.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits?
a.
Employee A: gross pay $32,600 , total job benefits $33,600
b.
Employee B: gross pay $32,900 , total job benefits $34,000
c.
Employee C: gross pay $33,400 , total job benefits $33,900
d.
Employee D: gross pay $33,700 , total job benefits $34,700



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its A, "Employee A: gross pay $32,600 , total job benefits" $33,600

Step-by-step explanation:

(as of 2023)

Using the Histogram below, how many trees are between 150 cm and 200 cm tall?
Tree Heights
50
40
30
Trees
20
10
0
100 150 200 250 300 350
Height (cm)
5 trees
30 trees
50 trees
10 trees

Answers

The number of trees are between 150 cm and 200 cm tall is 30 trees.

It is required to find the number of trees are between 150 cm and 200 cm tall.

What is histogram?

A histogram is a graph that shows the frequency of numerical data using rectangles. It is used to summarize discrete or continuous data that are measured on an interval scale.

Given:

The histogram graph the number of trees are arranged in vertical direction or y -axis and height of trees are arranged in horizontal direction or x -axis.

According to given question we have,

The  number of trees are between 150 cm and 200 cm tall

=30

Therefore, the number of trees are between 150 cm and 200 cm tall is 30 trees.

Learn more about  histogram here:

brainly.com/question/22858996

#SPJ2

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