18
Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
. and the number of students who got a grade higher than
84% is about
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Answers

Answer 1

Answer: 100

5

Step-by-step explanation:

a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...

... 100 students will have grades above 70%.

b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.

... about 5 students will have grades above 84%.


Related Questions

Yolanda is planning out her square vegetable garden. One side 7 feet. How
can I represent the perimeter with equations?

Answers

Well if it’s a square all sides are equal, so all sides are 7ft.

Perimeter=
7+7+7+7=28ft
Or
7•4=28

Hope this helps!!!

A group of friends wants to go to the amusement park. They have no more than $310 to spend on parking and admission. Parking is $9, and tickets cost $35 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

9 + 35x = 310

Step-by-step explanation:

Find the product for each of the following.​

Answers

Answer:

1 10/17

Step-by-step explanation:

make 45 a fraction by putting a denominator of 1

3/85 * 45/1

3*45 = 135

85*1 = 85

Simplify 135/85 = 1 10/17

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.

Find the slope of each line using the rise/run formula.​

Answers

Answer:

-1/3 and 3/1

Step-by-step explanation:

The first one go down 1 and right 3.

The second one go up 3 and right 1.

ion
What is the total surface area of a pyramid with a square base with sides of 12 cm, where the faces
have a slant height of 15 cm?
15 cm
On this side.
A
= 0.3333333
12 cm
O A 144 cm?
OB 234 cm
OC 360 cm
OD 504 cm?

Answers

Answer: 504

Step-by-step explanation:

Area: 4 triangles + square

Triangle area = 1/2 x b x h

Square = side x side

4(1/2 x 12x 15) + 12x12

= 504

PLEASE I need help really bad I only have 10 minutes left to turn it in!! I’ll mark you as brainliest please!!!

Answers

Answer:

Area=76.8

Perimeter=49.6

Good luck!

pls help ill give branliest

Answers

Square- 1 1/2
Triangle- 2 1/2

Which of the following is incorrect? Group of answer choices log(x)log(2) = log 2x log3 - log8 =log(3/8) log(ab) = loga + logb log(xyz) = logx + logy + logz

Answers

Answer:

• logb(bx)=xforallxandblogb(x) =xforallx>0

Step-by-step explanation:

Tiffany made 40 cupcakes for her birthday. She gave 5 to her family before taking the rest to school. What percent did she give away to her family? Show all work.

Answers

40
40 - 5
40 +40 +20= 100%
5+5+2.5= 12.5 %
She gave 12.5 percent

How do you find the area under a curve?

Answers

Answer:

The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive.

Step-by-step explanation:

what is the volume if a hemisphare with a diameter of 10cm​

Answers

Answer:

volume of hemisphere=2/3πr³

2/3×22/7×5³261.90cm³

hope it helps.

the answer is 261.7994in^3

McKenzie needs to practice clarinet for 10 hours this week. On the first day she practiced 1 1/2 hours. On the second day she practiced 1 1/4 hours. How many more hours does McKenzie need to practice?

Answers

Answer:

7 1/4

Step-by-step explanation:

1 1/2 + 1 1/4 = 2 3/4

10 - 2 3/4= 7 1/4

Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. How much money did Omar earn?

Answers

Answer:

Total amount Omar earn = $120

Step-by-step explanation:

Given:

Total amount Omar, Hala and Lujain got paid = $240

Ratio of money Omar, Hala and Lujain got paid = 5:9:10

Find:

Total amount Omar earn

Computation:

Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]

Total amount Omar earn = [240][5 / (5+9+10)]

Total amount Omar earn = [240][5 / (24)]

Total amount Omar earn = [24][5]

Total amount Omar earn = $120

look at the sketch below. What is the value of x in the measure of the angle?

Answers

Answer:

x = 18

Step-by-step explanation:

We can say that:

(2x + 13) + 90 + 41 = 180

2x + 144 = 180

2x = 36

x = 18

Hope this helps!

c(x)=2x^3+3x^2-1 find rational zeros

Answers

Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  [tex]\pm 1[/tex]

Denominator: [tex]\pm 2[/tex]

That means there are only two possible rational roots: [tex]\pm \frac{1}{2}[/tex]

Try them both by plugging them into the polynomial.

[tex]2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0[/tex]

Aha!  The negative one-half value does not produce 0

a class has 32 pupils 18 are boys the others are girls 12 pupil from this class went on trip one of these 12 pupils is chosen at random there is an even chance that the chosen pupil is a girl how many girls stayed in the class

Answers

Gather your facts
32 in class
18 boys in class
14girls in class

12 on trip
Half are girls 6 half are boys 6

So now that you organized your information how many girls are still in class room?
14-6=8

100/a = 25
i think its 2500 but I'm not sure

Answers

Answer:

a=4

Step-by-step explanation:

100/a=25

100/25 =a

a=4

Plz help me well mark brainliest if correct

Answers

Answer:

63

Step-by-step explanation:

smallest is 38

biggest is 63

63
Smallest: 23
Biggest: 63
Your welcome

What is the expression in factored form? x^2-64

Answers

The answer is (x-8) x (x+8)
Hope this helped! Please mark as BRAINLIEST!

Answer:

(x-8)(x+8)

Step-by-step explanation:

a2-b2={a+b)(a-b) a=8 and b=8

(x+8)(x-8)

Help me plsssssssssssssssssssssssssss

Answers

number 7 is as follows Answer: C18.9

Step-by-step explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. so  (5.65x2)+(3.8x2)=18.9 cm

Answer:

2 is F. 768 because all you have to do is mulltiply base times height oh and 7 is C

Step-by-step explanation:

What is the value of 1 / 5 (6 + 8.5)?

Answers

Your answer is gonna be: 2.9
The answer is 29/10 or 2.9

The histogram represents the time it takes employees to get to work each morning.
Which statement correctly describes the data?
The data is skewed left because the time it takes employees to get to work tails off to the left.
The data is skewed left because the time it takes employees to get to work tails off to the right.
The data is skewed right because the time it takes employees to get to work tails off to the right.
The data is skewed right because the time it takes employees to get to work tails off to the left.

Answers

Answer:the answer is B ,

Step-by-step explanation: just took the test .

The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)
1 9 8.1 7 8 7.6
2 7 6 8 11 8
3 11 3.6 9 10 8
4 12 4 10 12 6
5 8 5 11 6 8.6
6 7 10 12 6 8


Required:
a. Determine the regression equation.
b. Estimate the selling price of a 10-year-old car (in $000).
c. Interpret the regression equation (in dollars).

Answers

Answer:

ŷ = -0.47876X + 11.17724

$6.4

Step-by-step explanation:

Given the data :

Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)

1 9 8.1 7 8 7.6

2 7 6 8 11 8

3 11 3.6 9 10 8

4 12 4 10 12 6

5 8 5 11 6 8.6

6 7 10 12 6 8

The estimated regression equation using a linear regression calculator is :

y = -0.47876X + 11.17724

With - 0.47876 being the slope ; and 11.17724 being the intercept

y = predicted variable (price of car) ; x = predictor variable (Age of car)

Selling price of a 10 year old car : x = 10

ŷ = -0.47876(10) + 11.17724

Price = 6.38964

About 6.4(000) dollars ($6,400)

According to the regression equation : The starting price of cars is about $11.18 (intercept) with the proved of cars declining by a value of $0.479(negative slope value) each year.

The Venn diagram shows the number of students that exercise in different ways. What number should go in the highlighted box below?

Answers

Answer:

50

Step-by-step explanation:

Add up all the numbers

9 in
4 in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

9.8in

Step-by-step explanation:

i think this right

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.

Answers

Answer:

FD ≈ 252.8 feet

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(20°) =  

tan(20°) =  

0.36397 =  

FD =  

FD = 252.77

FD ≈ 252.8 feet

Find the missing value in the ratio table. Then write the equivalent ratio

Answers

Answer:

The missing value in shirts is 28, and the missing value in jackets is 14.

Step-by-step explanation:

PLEASE HELP! 10 pts. i just need the letters in order :))
pythagorean theorem.

Answers

Answer:

Start A-E-I-J-F-K-G-C-H-Escape

Step-by-step explanation:

Start A-E-I-J-F-K-G-C-H-Escape

Wyatt is going to invest $28,000 and leave it in an account for 5 years.
Assuming the interest is compounded quarterly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Wyatt to end
up with $31,000?

Answers

Answer:2.04 %

Step-by-step explanation:

100 POINTS PLEASE HELP. answer all questions please. check the image.

Answers

Answer:

Step-by-step explanation:

Problem 1

g(-23) = 3

g(0) = 5

2 = g(10)

1 = g(34)

Problem 2

No, because g(x) = f(-x).  For g(x) to inverse of f(x), g(f(x)) = x

Problem 3

tan(50) = 1.19

Height of statue = 250*1.19 - 150

= 147.9 ft

Problem 4

cosθ = 9/12

θ = 41.41 deg.

Answer:

Step-by-step explanation:

g(x) is inverse of f(x)

so g(f(x))=x

g(-23)=3

g(0)=5

g(10)=2

g((34)=1

no, it is an inverse

4 inverse fn, g(r(x))=x

but here g(x)=r(-x)

so g(r(x))=r(-r(x)) n NOT =x

pedestal + statue = 250*tan(50degree) = 297.94

statue ht = 297.94-150 = 147.94 ft

cos(theta) = 9/12

theta = 41.41 deg.

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