Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=101 and σ=24. (a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ? (note: please enter your answer in decimal form. for example, 45.23% should be entered as 0.4523.)

Answers

Answer 1

Answer:

a) 0.7734

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 101, \sigma = 24[/tex]

(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?

This is 1 subtracted by the pvalue of Z when X = 83. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{83 - 101}{24}[/tex]

[tex]Z = -0.75[/tex]

[tex]Z = -0.75[/tex] has a pvalue of 0.2266

1 - 0.2266 = 0.7734

The answer is 0.7734


Related Questions

3 ÷ 3/4 what is the answer i need help

Answers

Answer:

The answer is 4

Step-by-step explanation:

the answer would be 4

In Michelle's homeroom, 9/15 of the students ride the bus to school, 4/12 get a car ride,
and 2/30 walk to school. Is the following statement true or false and show your work to
prove how you know. In simplest form, 3/5 of the students ride the bus to school.





Please help me I give 17 points:(

Answers

Answer:

74

Step-by-step explanation:

2/5 times 17
WHOEVER ANSWERS FIRST I GIVE BRAINY!

Answers

Answer:

6.8

Step-by-step explanation:

(2/5)*17

=6.8

Answer:

the answer is 6.8

Step-by-step explanation:

2                  17

---     x          -------- =      34

5                      1               ------  

                                            5

34 divided by 5 = 6.8

hope this helped have a great day.

choose the best estimate for the mass of an apple
A. 25 g
B. 250 g
C. 1,000 g
D. 2,000 g
boi you bettter helpp.

Answers

Gotchu cuh. It’s 250g. This math stuff too easy

Answer:

25 or 250 i would go wit 250 but i fr dont know

Step-by-step explanation:

what is a scaled copy?

Answers

Answer:

A scale copy of a figure is a figure that is geometrically similar to the original figure.

Step-by-step explanation:

Hope this makes sense.

Find the distance between the two points rounding to the nearest tenth (8,−9) and (2,−7)

Answers

Answer:

negative 7 is first then comes 2.  negative 9 is first then comes 8.

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

una fracción equivalente a 3/4​

Answers

Answer:

6/8

Step-by-step explanation:

Multiplica el numerador y el denominador por el mismo número para obtener una fracción equivalente

Help me please and explain it me to please

Answers

6 and 5 because they are on a straight line and add to 180

if 22 of the 92 people who swim at the YMCA are children, what is the ratio of adults to children who swim at the YMCA? Write the ratio in lowest terms as a fraction or
with a colon.

Answers

Answer:

35:11

Step-by-step explanation:

1. Subtract 22 children from 92 total people to get the number of adults.

  92 - 22 = 70 adults

2. recognize that the first number in your ratio will be for the adults.

3. Write out ratio of adults to children

    70:22

4. Simplify (both denominator and numerator are divisible by 2)

   35:11

Sophia uses 3 3/4 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter-cup servings.

Question 1
Part A

How many cakes can Sophia make with this flour?

Answers

The number of cakes Sophia can make is 10.

The bag of flour contains 152 quarter-cup servings. So, the quantity in t he bag has to be divided by four.

Number of cups = 152 / 4 = 38 cups

In order to determine the number of cakes she can make, divide the number of cups in the bag by the cups needed to make one cake.

38 ÷ 3 3/4

38 ÷ 15/4

38 × 4/15 = 10.1 cakes

To learn more about division, please check: https://brainly.com/question/808272

Sophia will be able to make 10 cakes with this amount of flour.

Since Sophia uses 3 3/4 cups of flour for each cake she makes, and she has a 10-pound bag of flour that costs $ 8.79 and contains 152 quarter-cup servings, to determine how many cakes can Sophia make with this flour you must perform the following calculation:

3/4 = 0.75 (152/4) / 3.75 = X 38 / 3.75 = X 10.13 = X

Therefore, Sophia will be able to make 10 cakes with this amount of flour.

Learn more about maths in https://brainly.com/question/25815188

Does a hexagon contain rays

Answers

Answer:

no

Step-by-step explanation:

solve for f(-1), f(x)=-3+3, f(-1)=?

Answers

Answer:

0

Step-by-step explanation:

What is the estimated weight of three containers weighing 1.656 kg each?

Answers

the anwser is

Step-by-step explanation:

the anwser is 5 kg

Find each angle measure to the nearest degree please help

Answers

9514 1404 393

Answer:

4°48°

Step-by-step explanation:

The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)

1) A = arccos(0.9976) ≈ 4°

2) U = arccos(0.6691) ≈ 48°

-6х + 5 y = 1
6х + 4 y = –10

Answers

Times top equation by -1
6x-5y=-1
6x+4y=-10
Subtract bottom equation by top
-9y=9
y=-1
substitute this into an equation
-6x-5=1
add 5 to both sides
-6x=6
x=-1
y=-1 x=-1

Answer: 16-!

Step-by-step explanation:

Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder

Answers

Answer:

Answer vary: to make 3 cakes this is what Matteo needs

9 ounces of butter

12 ounces of sugar

15 ounces of flour

6 eggs

3 teaspoons (tsp) baking powder

Step-by-step explanation:

honestly in my opinion thats my answer but it might be wrong. you could add or multiply it, I added the ingredients 3 times but it’s more simple to multiply each by 3.

3 times 3 = 9

4 times 3 = 12

5 times 3 = 15

2 times 3 = 6

1 times 3 = 3

Subtract 9x^2+7x-2 from 8x−10

Answers

To solve the problem we will firstly rearrange the given expressions to get like terms together.

What are Like terms?

like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

If we subtract 9x^2+7x-2 from 8x−10, then we will get [tex]-9x^2 +x -8[/tex].

Given to us

[tex](8x-10) - (9x^2+7x-2)[/tex]

we know to subtract an expression from another we need to find the like terms of both expressions to carry out the mathematical operation.

therefore,

[tex](8x-10) - (9x^2+7x-2)\\\\=8x-10 - 9x^2-7x+2\\\\= -9x^2 +8x-7x-10+2\\\\= -9x^2 +x -8[/tex]

Hence, if we subtract 9x^2+7x-2 from 8x−10, then we will get [tex]-9x^2 +x -8[/tex].

Learn more about Like Terms:

https://brainly.com/question/2513478

Question 5 (2 points)
(07.02)
Solve log x = 4. (2 points)

a
x = 4

b
x = 40

c
x = 1,000

d
x = 10,000

Answers

Answer:

i would belive c i might be wrong

Step-by-step explanation:

Answer:

D: x=10,000

Step-by-step explanation:

32 = 4(n – 5) and -s + 11 = 17 please solved Both of the following​

Answers

Answer:

n=13 s=-6

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

32=4(n−5);−s+11=17

Rewrite equations:

32=4n−20;−s+11=17

Step: Solve 32=4n−20 for n:

32=4n−20

32+−4n=4n−20+−4n(Add -4n to both sides)

−4n+32=−20

−4n+32+−32=−20+−32(Add -32 to both sides)

−4n=−52

−4n/ −4 =/ −52/ −4

(Divide both sides by -4)

n=13

Step: Substitute 13 for n in  −s+11=17:

−s+11=17

−s+11=17

−s+11+−11=17+−11(Add -11 to both sides)

−s=6

−s/ −1 = 6/ −1

(Divide both sides by -1)

s=−6

Answer:

n=13 and s=−6

 

2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
x + y = 0
3x – 2y = 10
(3,2)
b. (2,-2)
(-2, 2)
d. (-2,-2)
a.
C.
timotor the nrice of a inh, in dollars, using the expression 60+

Answers

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Jordan is saving up to buy a new jacket. He already has $60 and can save an additional $6 per week using money from his after school job. How much total money would Jordan have after 6 weeks of saving? Also, write an expression that represents the amount of money Jordan would have saved in ww weeks.

Answers

Answer:

Jordan will have $96 in all after 6 weeks of saving.

Expression will be f(w)= 60+ 6w

brainliest please

help me guys. NO spam or report

Answers

Answer:

Take the root of both sides and solve.

Exact Form:

A =[tex]\sqrt[3]{50}[/tex]

Step-by-step explanation:

Here is a circle.
The diameter of the circle is 9 cm.
Work out the circumference of this circle.
Give your answer correct to 3 significant figures.
12.11%2S:

Answers

Radius is half d so r us 4.5
Formula is 2x pi x r
So 28.3 to 3 s.f.

Three sisters are saving for a special trip . The ratio of Nora​'s savings to Helga​'s savings is 8:3 and the ratio of Helga​'s savings to ​Maurice's savings is 3:4. Together all 3 have saved ​$60. How much has each ​saved?

Answers

Answer:

X = 10.588

Y = 28.2

Z = 21.176

Step-by-step explanation:

Consider Nova savings as X

Helga is Y

Maurice is Z

As per first ratio we conclude 8X=3Y

Second ratio we conclude 3Y = 4Z

We deduce 8X = 4Z

Last sentence => X+Y+Z=60 multiple it by 3

=> 3X + 3Y + 3Z= 180 but 8X = 4Y

=> 3X + 8X + 3Z =180 => 11X + 3Z=180 multiple the equation by 4/3

44/3 X + 4Z = 240 but 4Z = 8X

=> 44/3 X + 8 X = 240

=> 68/3 X = 240

=> 68X = 720

=> X =10.588

And Y=8/3 X =28.2

And Z=3/4 Y = 21.176

Parallel lines j and k are cut by a transversal l. What is mT in the diagram below?

A. 30°
B. 60°
C. 110°
D. 120°

Answers

Answer:

A. 30°

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

convert 4x+2y=-6 to slope intercept

Answers

Answer:

I love algebra anways

the ans is in the picture so are the steps how got the ans

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The area of a bathroom floor measures 6 feet by 9 feet and each custom tile that makes up the flooring is 1 1/2 square feet. How many tiles are needed to cover the floor?
pls help me

Answers

Answer:

Around 9.8 tiles

Step-by-step explanation:

The formula is x = (6*9)/5.5.

Find the missing length of the triangle.
11.
26 in.
10 in.
у

Answers

144in

How to:
26 + 10 = 36
180 - 36 = 144✅

What is the product of (-3x2/3) and (4x3/4)?

Answers

Answer: - 1/x or [tex]-\frac{1}{x}[/tex]

Step-by-step explanation:

(-3x^2 /3 ) * (4x^3 / 4)

=> - (3x^3 / 4) * (4x^3 / 3)

=> - (x^2 * 4) / 4x^3

=> - (x^2 / x^3)

=> - 1/x or [tex]-\frac{1}{x}[/tex]

The product of the two numbers will be -6.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two numbers are (-3x2/3) and (4x3/4).

To find the product of (-3 * 2/3) and (4 * 3/4), we first need to simplify each expression:

(-3 x  2/3) = -2

(4 x 3/4) = 3

Next, we multiply the two simplified expressions:

-2 x 3 = -6

So, the product of (-3 * 2/3) and (4 * 3/4) is -6.

To know more about an expression follow

https://brainly.com/question/15365477

#SPJ6

tomas works for a cellphone company. he has a base salary of $350 each month and earns an additional $40 for each cellphone he sells. write a function (linear equation) in slope-intercept form (y = mx + b) that represents tomas' total earnings (y) for one month for selling (x) number of cellphones.

Use the linear equation from question 1 to determine Tomas' earnings for a month where he sold 30 cellphones. *

Answers

Answer:

The function is [tex]y = 40x + 350[/tex]

When he sold 30 cellphones, he earned $1550.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1), and b is the y-intercept, that is, the value of w when x = 0.

Base salary of $350 each month and earns an additional $40 for each cellphone he sells.

If he sells 0 cellphones, he earns $350, so [tex]b = 350[/tex].

For each cellphone he sells, he earns $40, so [tex]m = 40[/tex]

The function is:

[tex]y = mx + b = 40x + 350[/tex]

Tomas' earnings for a month where he sold 30 cellphones.

This is y when [tex]x = 30[/tex]. So

[tex]y = 40*30 + 350 = 1550[/tex]

When he sold 30 cellphones, he earned $1550.

Other Questions
Evaluate89% of 323.09Give your answer rounded to 2DP what the definition of this ??? A store is randomly giving away gift cards to the first 150 customers. They are giving 130 gift cards that have a value of $5 each and 15 gift cards that have a value of $50 each. The rest of the gift cards have a value of $100 each. Which is the probability that a customer will get a $100 gift card? The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $10 per ticket to the planetarium. The second day they paid $100 for transportation plus $7 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.An expression that represents the total cost in dollars for two days for the n members of the club is given by Deflation in the Dust Bowl event of the 1930's was responsible forCreating rock pinnaclesBuilding up sand dunesDepositing loessRemoving up to four feet of topsoil Writing prompt about mathDiscuss the process of factoring a quadratic function in standard form, y=ax^2+bx+c, as well as using the example y=3x^2+10x+8. 12 decreased by some number h WORTH 100 PONITS * what is slavery c) Simplify fully(5x 10x2) /(14x - 7) The animal-like parasite plasmodium causes the disease 26) 360 can be written as 2ax b c xd wherea, b, c and d are all prime numbers. Fudthe value of a, b, c and d. What horse color is brown or black with light areas at the muzzle and belly A rotating paddle wheel is inserted in a closed pot of water. The stirring action of the paddle wheel heats the water. During the process, 30 kJ of heat is transferred to the water and 5 kJ is lost to the surrounding air. The paddle wheel work amounts to 500 J. Determine the final energy of the system if its initial energy is 10 kJ. I needdd help please! ): NEED HELP! PLS 40 POINTS REWARDWhat evidence led Rudolf Virchow to claim that all cells come from other cells?A.) Cells divide.B.) Cells have nuclei.C.) Cells move around.D.) Cells have cell membranes. The enlightenment spread through the North American colonies mostly through?Books PigeonsThe internet Horses what was one reason for growth of representative government in the American colonies..... WORTH ALOT OF POINTS REPORTING WRONG ANSWERS Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of blueberries, and $2 per pound of apples she picks to take home. Let b be the number of pounds of blueberries and a be the number of pounds of apples Eva picked. Which of the following expressions could represent how much Eva pays? 5(2.5b + 2a) (2.5 + 2)(a + b) + 5 2.5b + 2a + 5 5 + 2.5a + 2b How did the Wangarans know when the caravans wanted to make an offer to trade In the Thirteen Colonies, what was a result of the geography and physical features in which the colonies were located? OA. The Thirteen Colonies had a difficult time communicating among themselves. OB. The Thirteen Colonies had economies that were different from each other. OC. The Thirteen Colonies were forced to buy food from England to survive. D. The Thirteen Colonies often fought wars against each other over land.