9. On a standardized test where the results are distributed normally, Elliete scored a 246. If the mean score was
a 182 with a standard deviation of 36, then what is Elliete's percentile rank (percent less than or equal to 246)
rounded to the nearest whole percent? Explain how you arrived at your answer.

Answers

Answer 1

Elliete's percentile rank is 96% for a score less than or equal to 246

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 182, σ = 36

For x ≤ 246:

[tex]z=\frac{246-182}{36}=1.78[/tex]

From the normal distribution table:

P(x ≤ 246) = P(z < 1.78) = 0.9625 = 96%

Elliete's percentile rank is 96% for a score less than or equal to 246

Find out more on z score at: https://brainly.com/question/25638875


Related Questions

Evaluate 4(2a – b) when a = –1 and b = 5.


–48


–28


–12


32

Answers

4(2(-1)-5)
4(-2-5)
4(-7)
=-28 (B)

Hey There!

Question:-

[tex]\sf \longmapsto \: 4(2a - b)[/tex]

This is a algebraic expression. The values of a and b are given. The values are as follows :-

a = -1

And,

b = +5 .

Solution:-

[tex]\sf \longmapsto4(2a - b)[/tex]

Note that a is multiplied with 2 that is :-

[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]

Now, Insert the values that is a = -1 and b = 5 :-

[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]

Here,we need to follow BODMAS Rule.

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

We need to solve the bracket's calculations first as it is the rule.

So, Firstly Multiply (2 × -1) :-

[tex]\sf \longmapsto4( - 2 - 5)[/tex]

Note that, (-) × (-) equals to (+).

So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.

[tex]\sf \longmapsto4( 5+ 2)[/tex]

On Simplification:-

[tex]\sf \longmapsto4( - 7)[/tex]

[tex]\sf \longmapsto4 \times (- 7)[/tex]

[tex]\sf \longmapsto \: - 28[/tex]

______________________________________

Henceforth the solution of the algebraic expression is :-

[tex] \bf \:- 28[/tex]

Option B is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Another one for you guys

Answers

Answer:

50 miles

Step-by-step explanation:

when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis

All of these statements are true EXCEPT which one?
A.​

Answers

Answer:

Optio a is rhe right one

i m not sure

Answer:

where's the choices

Step-by-step explanation:

complete your question

Plz help brainiest to the correct answer!

Answers

[tex]\\ \sf{:}\dashrightarrow \dfrac{1}{4}(-12)=-3[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow \dfrac{-1}{3}(39)=-13[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow -4/5(-75)=-4(-15)=60[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-2/5)(-3/4)=6/20=3/10[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow 8/3(-42)=-14(8)=-112[/tex]

function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16

Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.

B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.

C.They have the same y-intercept and the same end behavior as x approaches infinity.

D.They have the same x-intercept but different end behavior as x approaches infinity​

Answers

Answer:

  D.  They have the same x-intercept but different end behavior as x approaches infinity​

Step-by-step explanation:

A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.

Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?

Answers

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

proprtional- equal

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

16×12= 192

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

192÷21=9.14

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.

WILL GIVE BRAINLY TO FIRST ANSWER

Answers

Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.

The number of hours used for the return trip will be:

= 2 hours - 24 minutes.

= 1 hour 36 minutes.

= 1.6 hours.

Therefore, the speed of the air plane will be:

= (128 + 128) / (2 + 1.6)

= 256/3.6.

= 71.1 km per hour.

Learn more about speed on:

https://brainly.com/question/25860159

find the equation to this line.​

Answers

y=4x-3
Hope this helps!
Answer: y = - x + 3
Ok done. Thank to me :>

13=2m+5

m = ?

help me pls

Answers

Answer:

m=4

Step-by-step explanation:

Answer:

The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha

Step-by-step explanation:

13-5 = 2m + 5 - 5  (Subtract 5 from both sides of the equation)  

8 = 2m (Simplify)

8/2  = 2m/2 ( Divide both sides of the equation by the same term)

m= 4  (Solution)

how are ∠1 and ∠2 related

A. They are supplementary
B. They are complementary
C. They are Vertical
D. They are adjacent

Answers

Answer:

D. They are adjacent

Step-by-step explanation:

Angles 1 and 2 have common side, so they are adjacent. They are not making a right or straight angle.

Correct choice is D

5 more than 3
meaning what number ?

Answers

Answer:

8

Step-by-step explanation:

5+3=8

3 plus 5 more makes 8

Answer is 8

Explanation:
5+3=8
And the other way around

Byron opened a new bank account and immediately started depositing d dollars per week. He also withdrew w dollars per week to pay expenses. The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw . Which of the following is a factor of M?

A d - w

B n - w

d - n

D n - c

Answers

Answer: b i just took the test

Step-by-step explanation:

Option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that Byron opened a new bank account and immediately started depositing d dollars per week.

Byron also withdrew w dollars per week to pay expenses.

Byron also withdrew w dollars per week to pay expenses.

The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw .

M equal to n times of d minus n times of w.

We can factor out the common factor of n from the expression for M

M = nd - nw = n(d - w)

Therefore, n is a factor of M.

Hence, option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

To learn more on Number system click:

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help asap please ill give brainliest

Answers

it’s b because it has more marbles

in 2020 the attendance at kennedy school's spring festival was 210. in 2021 the attendance was 168. What was tge percent change in the attendance from 2020 to 2022 tound to nearest whole percent

Answers

Step-by-step explanation:

Total change in number of student = (210 - 168)

=> 42

% change = Change/Original no. of students × 100

=> 42/210 × 100

=> 42/21 × 10

=> 20%

PROVE: BD is congruent to BE. Provide steps and reasons.

Answers

Answer:

It is congruent

Step-by-step explanation:

Because AB and BC are congruent, having DE bisect them

directly in the middle creates equal lines of BD and BE.

Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age?

Answers

Mikhail is 18 years old.

Gabrielle is 36 years old.

18 * 2 = 36
and
18 + 36 = 54

Domain and Range of {(0,2), (2,4), (-1,1)}

Answers

Domain = {-1, 2, -1,0,1,2}
Range = {0,1,4)

Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.

a. How many area codes can be created if digits are allowed to be repeated?

b. How many area codes can be created if digits are not allowed to be repeated?

Answers

Answer:A

Step-by-step explanation:because the numbers can be allowed to be repeated

a bag contains colored tils 3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag what is the probabillities in decimal from that the tile selected will regreate

Answers

Answer:

By:Parrain

Step-by-step explanation:

The probability that the selected tile will be green is 0.5.

The probability that a tile will be green can be calculated by the formula:

= Number of green tiles / Total number of tiles

Total number of tiles is:

= 3 + 6 + 3

= 12 tiles

Probability of picking green tile is therefore:

= 6 / 12

= 50%

= 0.50

The probability of picking a green tile is 0.50

pls help pls no links?​

Answers

[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]

Kylie Jenner's gym membership
costs $150 to sign up and
then charges $3 for each visit.
Kanye West's gym membership costs $130
to sign up and
then charges $5 for each visit.
At how many visits
will they have spent
the same amount of money?

Answers

Answer:

The answer to this is 10 visits.

Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.

The two triangle shown below are similar triangles.

What is the value of d in meters?

Answers

D is 4 metres and the scale factor is 6

I need the answers and explanation to a b c and d

Answers

Answer:

  a) 4x -3y ≥ -24

  b) 2x +3y ≥ -12

  c) 4x -3y ≤ 12

  d) 2x +3y ≤ 24

Step-by-step explanation:

All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...

  x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.

a)

The boundary line for the first side is ...

  x/-6 +y/8 = 1

  4x -3y = -24 . . . . . . multiply by -24 to put in standard form

The graph shows the quadrilateral is to the right of this line, so its inequality is ...

  4x -3y ≥ -24

__

b)

The boundary line for side 2 has equation ...

  x/-6 +y/-4 = 1

  2x +3y = -12 . . . . . multiply by -12

The quadrilateral is to the right of this line, as well, so its inequality is ...

  2x +3y ≥ -12

__

c)

We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...

  x/3 +y/-4 = 1

  4x -3y = 12

The quadrilateral is to the left of this line, so its inequality is ...

  4x -3y ≤ 12

__

d)

Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.

  2x +3y = 2(0) +3(8) = 24

The quadrilateral is to the left of this line, so its inequality is ...

  2x +3y ≤ 24

__

The second attachment shows a graph of the four inequalities with their shading.

_____

Additional comment

All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.

The figure is a parallelogram, not a rectangle.

From this pie chart answer the following:

(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?

Answers

200 people were surveyed.light music

The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?

Answers

25% decrease
Hope this helps!

g(x) = 3x + 1; Find g(7)

Answers

Answer:

22

Step-by-step explanation:

g(x) = 3x + 1

g(7) = 3(7) + 1

= 21 + 1

= 22

hope this helps! :D

have a miraculous day!! <3

Percentage of words starting with T

Answers

Do what the hint says lol

Help for points please!

Answers

Answer:

A) 0

Step-by-step explanation:

15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.

Answer:

0

Step-by-step explanation:

= [tex]\frac{5}{7}-\frac{5}{7}[/tex]

= [tex]\frac{5-5}{7}[/tex]

= [tex]\frac{0}{7}[/tex]

= [tex]0[/tex]

The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.

Answers

Step-by-step explanation:

m(t) = 11t + 55

the slope is always the factor of the variable, so here the slope is 11.

since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.

the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.

it is here 55.

t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.

the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).

so I need to make some assumptions :

the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).

if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.

but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).

the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].

the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.

the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].

for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.

Which of the following rational functions is graphed below?

Answers

Considering the asymptotes, the rational function given below is the following:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:

x(x + 2).

The function has no x-intercepts, hence the numerator is of 1. So the function is given by:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

More can be learned about asymptotes at https://brainly.com/question/16948935

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