Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.

Answers

Answer 1

Answer:

Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.

Step-by-step explanation:


Related Questions

Please help me asap

Answers

Answer:

2) 25%

Step-by-step explanation:

Answer:

The answer is (2)

Step-by-step explanation:

pls help me on this !!!!!!!!!!!

Answers

Answer:

11.8 m

Step-by-step explanation:

2/3πr^3=1100π

r^3=1650

r=11.8


Factor the expression.

20g3 + 24g2 – 15g – 18


(4g2 + 6)(5g – 3)


(4g2 – 6)(5g + 3)


(4g2 – 3)(5g + 6)


(4g2 + 3)(5g – 6)

Answers

Answer:

C

Step-by-step explanation:

hope this helps I'm sorry if you need work I will do it if so

Answer:

0.03 3.00 4.00 516388383

Kate has a coin collection. She keeps 7 of the coins in a box which is only 5% of her entire collection.

Answers

Answer:

She has 140 coins in total.

Step-by-step explanation:

Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.

Hope this helps you!

Which describes the slope of the line in the graph?
A)
zero
B)
positive
negative
D)
undefined

Answers

D) undefined
yeeeegfdybv

f(x)= x^2
g(x) 1/2 x^2
​Which option could show the graphs of f and g?

Answers

The correct answer for this is C

Answer:

The answer is D

Step-by-step explanation:

HELP ASAP FAST HELP PLEASE (WORTH A LOT OF POINTS
If x = -12 and y = -3, then
a) 21
b) 13
c) 9
d) 1

Answers

Answer:

21

Step-by-step explanation:

Plug in x and y:

((-12) - 6)/-3 + 15 =

-18/-3 +15=

6 + 15 = 21

21

A farmer had 200 rows oh his field, He plowed 1/4 of them. How many rows did he plow? (Write the explanation and answer)

Answers

Answer:

He plowed 50 rows.

Step-by-step explanation:

Use proportions

1/4 = x/200

then cross multiply to find x.

4x=200  

Divide both sides by 4

x= 50

He plowed 50 rows.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

50 fields.  

»»————- ★ ————-««  

Here’s why:  

The farmer has 200 rows total on his field. He plowed a fourth of the field.

⸻⸻⸻⸻

[tex]\boxed{\text{Number of Fields Plowed:}}\\\\\rightarrow200*(\frac{1}{4})\\\\\rightarrow\boxed{50}[/tex]

⸻⸻⸻⸻

The farmer should of plowed 50 fields.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

which expression has a vaule of 2/3?

Answers

Answer:

so the answer is 32/48

Step-by-step explanation:

(8+24)/(12*4)

32/48

2/3

i hope this helps

You deposit $600 in an account earning 6% interest compounded annually. How much will you have in the account in 20 years?

Answers

Answer:

1320 will be in the account in 20 years.

Step-by-step explanation:

600 x 6%

600 x 6/100 = 36 interest annually .

20 x 36 = 720.

720 + 600 = 1320.

We can describe 3x-2 as an expression how can we describe the parts of the expression that the arrows point to 3x-2

Answers

The part of the expression the arrow points to isn't shown in the question. However, a general description of the expression will be given to cover all parts of the expression.

Answer:

3 = slope or gradient

-2 = intercept

Step-by-step explanation:

The expression 3x - 2 is represented in the gradient intercept format:

The general format for a gradient intercept equation is :

mx + b

Where ;

m = Slope ; b = intercept

Comparing the expression with the general format given :

m = 3 = gradient or slope

b = - 2 = intercept

Yuki just bought a big-
screen TV set. The
screen has a diagonal
measure of 40 in. If the
screen is 32 in. wide,
how high is it?

Answers

Answer:

24 I think..

Step-by-step explanation:

a^2 + b^2 = c^2

32^2 + b^2 = 40^2

b^2 = 1600 - 1024

b^2 = 576

b = 24

square root of 225/16 AS A FRACTION!!!

Answers

- 15/4 is what i got but i’m not too totally sure

The solution is, square root of 225/16  is 15/4.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

225/16

=15^2/4^2

so, square root of 225/16

=√15^2/4^2

=15/4

Hence, The solution is, square root of 225/16  is 15/4.

To learn more on square root click:

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What is the horizontal asymptote of j (x) = StartFraction 14 x cubed + 45 Over 2 x cubed + x + 9 EndFraction

Answers

Answer:

C. y=7

Step-by-step explanation:

guy above me was right

The horizontal asymptote of the given function  [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]  would be y = 7.

When do we get horizontal asymptote for a function?

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

The given function is

[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]

We need to determine the horizontal asymptote.

Horizontal asymptote;

From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.

Then, the horizontal asymptote is the y-axis.

Thus, the horizontal asymptote is y = 7.

Learn more about horizontal asymptotes here:

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Solve: 8 (5 + 3)
1. What number are you distributing?
2. Show your work
3. Answer is?

Answers

Answer:

64

you are distrbuting  both the 8 which =64

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

8(5+3)

You distribute what's in the Parentheses

8 x 5 = 40 and 8 x 3 = 24

40+24 = 64

difference between the median and mean scores.

Answers

Answer:

Mean =  sum of the terms/ number of terms

Median is the middle number of the data

Step-by-step explanation:

Mean is the average as in adding up all of the numbers and dividing by the amount of numbers there.
Median is when you put all the numbers in order from least to greatest and then you find the number directly in the middle. If there are two numbers in the middle, you find the sum of the two numbers and divide by 2. In other words you find the mean of it, but that’s only if there are two numbers in the middle.

use the information given to find the value of n in each of the following sets of number​

Answers

Answer:

No picture try uploading it again and I can see if I can help you

I need help with this question

Answers

Answer:

1/3

Step-by-step explanation:

13/39 = 1/3

Answer:

It is 1/3

Step-by-step explanation:

because 13/39=1/3

sketch 0=7pi/6 in standard position

Answers

Answer:

i need to get the full question, then i can help u. goodluck :)

Step-by-step explanation:

1. Evan does some shopping at a market.
(a) Evan has a bag of oranges that weighs 2.4 pounds. He has another bag of oranges that weighs 1.74 pounds. Describe how to use this model to find the total weight of the two bags of oranges.

Answers

Answer:

4.14

Step-by-step explanation:

the orange is 1 pound

the green is 0.1 pound

the blue is 0.01 pound

3 orange is 3

11 green is 1.1

4 blue is 0.04

3+1.1+0.04=4.14

hope that made sense

Please Help!!!! Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.

Answers

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

Help me with this please

Answers

Answer:

60

Step-by-step explanation:

All angles have to add up to 180

180/3 equals 60

Answer:

X= 60

Step-by-step explanation:

180÷3=60

gr yydaerhiopljteeqasf

Which scenario will produce light?

a) an electron moving into the nucleus

b) an electron is removed from the atom

c) an electron moving to a ground state

d) an electron moving to an excited state

Answers

Answer:

an electron moving into the nucleus

When an electron moved to an excited state, it will produce light. So, the correct option is (D).

What is Light?

Light are commonly referred as Electromagnetic Radiation which can be detected by the human eye. This spectrum is extremely broad which ranges from low energy radio waves with wavelengths that are to high energy gamma rays with wavelengths which are less than 1x [tex]10^-^1^1[/tex].

The largest electromagnetic waves having wavelengths from a few centimeters to over 100 meters called as radio waves while the smallest electromagnetic waves having wavelengths which is the size of an atomic nucleus are called gamma rays. In between these waves, microwaves, infrared light, visible light, ultraviolet light and X-rays. It refers to visible radiant energy.

Light is emitted when an electron jumps from a higher orbit to a lower orbit and absorbed when it jumps from a lower to higher orbit which causes to produce light.

Thus, when an electron moved to an excited state, it will produce light. So, the correct option is (D).

Learn more about Light, here:

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100 point!What is the total surface area of the square pyramid?

A square pyramid. The square base has side lengths of 8 inches. The triangular sides have a height of 5 inches.

__________ square inches
20

40

104

144

Answers

the answer is 144 square inches

It would be 144 square inches

A tank with water is shown. What is the volume of the empty space in the
tank?*

Answers

Answer:

=500in^3

Step-by-step explanation:

12-7=5

side length of empty space = 5 in

volume = 5×10×10

volume = 500

Answer:

Volume= side3

= 10x10x10

= 1000 cubic inches

mark me brainliestt :))

Latifah drew this obtuse, scalene triangle.

A triangle has side lengths 8 and 10. The angle between the 2 sides has a measure of 116 degrees.
She will draw a congruent triangle and use it to form a 4-sided polygon. What type of quadrilateral could it be?
a quadrilateral that is a parallelogram
a rectangle that is not a rhombus
a rhombus
a square

Answers

Answer:

i'd say its a rhombus (C)

Step-by-step explanation:

i have this question on my exam on edg. and that is the answer i came up with after reviewing the image that was provided on the exam.

other people say that its a quadrillateral that is a parallelogram but i drew out the shape and the lines were intersecting. so its probably not A. :)

Jesus is King!!

Josefina lives near a duck pond. She wants to know how many ducks use the pond. She places leg bands on 12 ducks one day. A week later, she examines 20 ducks and finds that 3 of them have leg bands. About how many ducks use the pond? 80 29 160 50

Answers

Answer:

80

Step-by-step explanation:

This is calculated as:

(Number of ducks with bands × Number of examined ducks)/ Number of ducks found with leg band

= Number of ducks with bands = 12 ducks

Number of examined ducks = 20 ducks

Number of ducks found with leg band = 3 ducks

Hence:

12 × 20/3

= 240/3

= 80 ducks

Therefore, 80 ducks used the ponds

what value of d makes the equation 5d-3=2d+6 true?


I NEED HELP WITH THIS ASAP

Answers

Answer:

the answer for this question is 3

D=3

5d-3=2d+6

Subtract 2d from both sides.

3D -3 = 6

Add three on both sides to isolate 3d

3D = 9

Divide by 3 on both sides

Therefore, D = 3

You just opened a savings account and deposited $300 at 3% that u plan on withdrawing in 15 years. How much money will you have by then?

Answers

Answer:

$467.37

Step-by-step explanation:

Given data

Principal= $300

Rate= 3%

Time = 15 years

Applying the compound interest formula, we have

A=P(1+r)^t

A=300(1+0.03)^15

A=300(1.03)^15

A=300*1.5579

A=$467.37

Hence after 15years the balance will be $467.37

Fill in the missing number. 7 + __ = 88

Answers

Answer:

[81 is the missing number.]

Step-by-step explanation:

7+x=88

Let us substitute the mixing number as x.

To find a variable we must ISOLATE it.

To isolate in this situation, we must remove the 7.

We must subtract 7 from both sides, to isolate x. like this-

7-7+x=88-7

This results in,

x=81

So this missing number or (x) is equal to 81

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