In a National Achievement Test, Joshua obtained a score of 88. In the standardization of the test, μ = 78 and σ = 10. How would you communicate Joshua’s score to his parents? Explain your answer in writing

Answers

Answer 1

Using the normal distribution, Joshua's score is communicated as being in the 84th percentile.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 78, \sigma = 10[/tex].

He scored 88, hence X = 88 and his z-score is of:

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

[tex]Z = \frac{88 - 78}{10}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

Hence, Joshua's score is communicated as being in the 84th percentile.

More can be learned about the normal distribution at https://brainly.com/question/24663213


Related Questions

Each of the 5 boys ate 2/3 of a pizza. What is the total amount of pizza the boys ate?
A
4 1/3 pizzas
B
4 pizzas
C
3 1/3 pizzas
D
3 pizzas

Answers

They ate 3 and 1/3 amount of pizza. So ur answer is C!!

Hope this helps have a good day

Simplify (4^3)^5
I need help, and I will give Brainliest!

Answers

Answer:

1073741824 is your answer.....

Answer:

1073741824

Step-by-step explanation:

[tex]( {4}^{3}) ^{5} \\ = {64}^{5} \\ = 1073741824[/tex]

Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?

Options:
A)x=3/2

B)x=2

C)x=5/2

D)x=4

Answers

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

PLEASE ANSWER!!! :/
:) PLEASE

Answers

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

Francisco makes $10 per hour doing part-time work on Saturdays. He spends $5 on transportation to and from work. The equation y = 10x − 5 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.

Answers

Answer:

15 then 25 then 35 then 45

Step-by-step explanation:

10x2=20-5 is 15 same equation for the rest, 10x3 is 30-5=25,etc.

Hope this helped!

It is you know that you are going tjgfb by. H g. Ybgb go out and go. I want you guys out there in my car to do that and then I’ll start my own business I have no yo what’s up I don’t know how much you do I want to do it is that I want to do it is that I want to do it is that I want to do it is that I want to do it

Mike bought an item online for $60 and he was charged a $3 shipping fee. What percent of the sale price was the shipping fee?

Answers

Answer:

5%

Step-by-step explanation:

Given the following question:

The item costs 60 dollars
The shipping costs was 3 dollars

What was the percent of 60 is 3?

To find the answer we divide the shipping fee by the cost and then multiply the answer by 100.

[tex]\frac{3}{60} =3\div60=0.05\times100=5[/tex]
[tex]=5[/tex]

3 dollars is "5 percent" of 60 dollars.

Hope this helps.

Hey, Please help!!

1.Solve for r in the scientific formula d= r t

2.Solve for V in the scientific formula P V= n R T

3. Solve for x in the literal equation [tex]\frac{x}{2}[/tex]-g= a
4. Solve for h in the literal equation g [tex](h+\frac{3}{2} )[/tex]=11
5. Solve for n in the literal equation a(n-2)+5=b n

Answers

Step-by-step explanation:

1. d = rt

Divide t from both sides.

[tex]\frac{d}{t} = r[/tex]

2. PV = nRT

Divide P from both sides.

[tex]V = \frac{nRT}{P}[/tex]

3. [tex]\frac{x}{2} -g=a\\[/tex]

Add g to both sides.

[tex]\frac{x}{2}[/tex] = g + a

Now multiply by 2 on both sides.

x = 2(g + a)

(or, x = 2g + 2a)

4. g[tex](h+\frac{3}{2} ) = 11[/tex]

Divide g from both sides.

[tex]h + 1.5 = \frac{11}{g}[/tex]

Now subtract 1.5 from both sides.

h = [tex]\frac{11}{g} -1.5[/tex]

5. [tex]a(n-2)+5=bn\\[/tex]

n = [tex]\frac{2a-5}{a - b}[/tex]

what is the x-intersept

Answers

Answer:

-2

Step-by-step explanation:

-2 because that is where the line intersects on the x-axis

“Identify the CORRECT formula based on the sequence” do not answer on some bs .

Answers

Answer:

see explanation

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

21 ÷ 7 = 63 ÷ 21 = 3

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ration

here a₁ = 7 and r = 3 , then

[tex]a_{n}[/tex] = 7 . [tex]3^{n-1}[/tex] ← explicit formula

the recursive formula allows a term to be found by multiplying the previous term by r , then

[tex]a_{n}[/tex] = 7 . [tex]a_{n-1}[/tex] ← recursive formula

Here is a triangular prism.

Answers

Answer:

Volume of the prism: 120cm^3

Step-by-step explanation:

volume of a prism = area of cross-section x length

so

volume of triangular prism = 4 (h) x 6 (b) divided by 2 x 10 (length)

6 x 4 = 24

24 / 2 = 12

12 x 10 = 120

Hope this helped!

- profparis

If +20 represent 20m above sea level,then -20 represent?​

Answers

Answer:

-20 meters below sea level

Step-by-step explanation:

as we know 0 is the water level, and since +20 is 20m above sea level, -20 is 20 m below sea level

Put the expression below as a factor.
EX: 81 - y = 56, y = 81 + 56 = 137.

1. 5( n + 2 ) − 15 = 4 − ( 2n − 5 )
2. 3 ( 2y − 1 ) − 5 = −4y + 22

Answers

Answer:

n=2

y=3

I explained the answers to your questions in the photo sent

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.

Please help me with this question.

Answers

The answer is:put the equation xa+yb=1 to the slope intercept form and find its slope and y-intercept.

Sample Answer: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.

i dont know how to do this i will mark brainleist if you answer!

Answers

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

square root of 70 is
rational or iftationet

Answers

Answer:

Step-by-step explanation:

It's Irrational.

sqrt(70) = sqrt(2 * 5 * 7)

You can't pull anything out of the right to leave the number under the root sign = to 1. That means that since all three roots are irrational, the whole number is irrational, In fact it takes only 1 number other than 1 left under the root sign to make the result irrational.

√50 = √(5 * 5 * 2)

The 5's will produce one number outside the root sign -- five. That makes the result

5√2 The result is irrational because √2 is irrational

z = b – ma , for a
Please help me I need this answer

Answers

Step-by-step explanation:

z = b - ma

z - b = ma

z - b / m = a

f(x)=-x2+8x-1 find f(3) show work

Answers

f(3)= -(3)^2+8(3)-1
=14

Please help I suck at boxplots

Answers

Answer:

D

Step-by-step explanation:

Median: 18

Minimum: 16

Maximum: 23

First quartile: 16

Third quartile: 19.5

Interquartile Range: 3.5

X + Y = -2
What is y

Answers

Answer:

X= -6. Y=4

Step-by-step explanation:

-6+4= -2

X + 2 would be Y if you switch them on the sides of the equil sign

Miles needs to create invitations for the party. He has 56 of an hour to make the invitations. It takes him 112 of an hour to make each card. How many invitations can Miles create?

Answers

Answer: 250

Step-by-step explanation:

Select the two values of x that are roots of this equation.

Answers

Answer:

B

C

Step-by-step explanation:

[tex]x_{1} = \frac{5 + \sqrt{5}}{2} \\x_{2} = \frac{5 - \sqrt{5}}{2}[/tex]

HELP QUICK PLEASE THIS IS FOR AN ASSIGNMENT

Answers

Answer:

17

Step-by-step explanation:

please solve this......​

Answers

please mark me as brainlest

He worked for 35 days.

[tex]200 \div 8 = 25 \\ 875 \div 25 = 35[/tex]

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 –8 –5 0 6.

Answers

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

What is section formula ?

Let point P(x,y) cuts line joining point  [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex]  in [tex]m_1:m_2[/tex] then coordinate of point P is equal to [tex](\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})[/tex]

Here given that point divides line segment from J to K into a ratio 5:1

So

[tex]m_1=5\\\\m_2=1[/tex]

Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1

We can calculated y coordinate by applying section formula as :

[tex]\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}[/tex]

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

To learn more about   section formula visit:https://brainly.com/question/26433769

Answer:

6

Step-by-step explanation:

edg 2022

Just answer 15 please.

Answers

Answer:

He needs to sell 12 to get exactly $30 but he needs to sell at least 13 if he wants to earn more than $30

Answer:

13 or more magazines.

[tex]30 / 2.5 = 12[/tex]

[tex]12 * 2.5 = 30[/tex]

In that case, anything equal to or greater than 13 is correct.

4x+1= 2x +7
How to solve this equation?​

Answers

Answer:

3

Step-by-step explanation:

4x +1 =2x +7

4x - 2x =7 - 1

2x =6

x=6 :2

x=3

Answer:

-2x to both sides

-1 to both sides

then you get 2x=6

divide each side by 2

x=3

tep-by-step explanation:

When calculating a loan’s effective interest rate, if the nominal rate is 8.5%, what value of i do you plug into your equation? a. 8.5 b. 0.85 c. 0.085 d. 1.85

Answers

The value of interest rate should be 0.085.

We have given that the interest rate is 8.5% So we have given in percentage form but we use always decimal form of interest.

What is the decimal form of percentage?

To convert a percentage to a decimal, divide by 100.

So the decimal form of the 8.5% is calculated by

[tex]\frac{8.5}{100}=0.085[/tex]

Therefore the option c is correct.

Therefore we use the interest rate is 0.085.

To learn more about the interest rate visit:

https://brainly.com/question/25793394

Answer: C 0.085

Step-by-step explanation:

The square root of which of the following integers is between 7 and 8 ?

Answers

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compound inequality problem: 3x-10<4(x-2)

Answers

Answer:

x >-2

Step-by-step explanation:

3x-10<4(x-2)

3x - 10<4x-8

grouping liked terms

3x-4x<-8+10

-x<2

divide through by coefficient of x

x > -2

Let f(x)=3x^2−2x+1. What is the value of f(−4)?
−55
−49
41
57

Answers

Answer:

57

Step-by-step explanation:

[tex]f(x)=3x^2-2x+1;f(-4)[/tex]

Let [tex]x=-4[/tex]

[tex]3(-4)^2-2(-4)+1[/tex]

[tex]48-\left(-8\right)+1[/tex]

[tex]57[/tex]

~

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