On a standardized exam, the scores are normally distributed with a mean of 40 and a standard deviation of 5. Find the z-score of a person who scored 25 on the exam.

Answers

Answer 1

Answer:

The correct solution is "3".

Step-by-step explanation:

Given that:

Mean of distribution,

[tex]x = 49[/tex]

Standard deviation,

[tex]\sigma=5[/tex]

Score,

[tex]\mu=25[/tex]

Let the score in an exam be "x".

Now,

The z-score will be:

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

On putting the values, we get

= [tex]\frac{40-25}{5}[/tex]

= [tex]\frac{15}{5}[/tex]

= [tex]3[/tex]


Related Questions

Please solve the question below - a/3 = -12

Answers

A equals 36 for -a/3=-12

(x + 3) - [(x+ 2)(x2 - 1)]

Answers

Step-by-step explanation:

can show you step by step how to figure it out it comes in handy a lot of times


I think it’s x2

Sorry i don’t know

Parallelogram ABCD is shown below.

Parallelogram A B C D. Angle A is 104 degrees. Angle C is opposite to angle A.

What is the measure of Angle B?
52Degrees
76Degrees
104Degrees
152Degrees

Answers

Answer:

76 Degrees

Step-by-step explanation:

Add 104 + 104

then minus 208 from 360

after that divide 152 by 2

I hope that helps

Answer:

76

Step-by-step explanation:

dadddyuyyyyy

complete the steps to find the value of x​

Answers

Angle 4 + the 118° angle = 180°
So angle 4 = 180 - 118 = 62°

8x + 6 = 62
Subtract 6 from both sides
8x = 56
x = 7

PLEASE HELP ME! I WILL GIVE YOU BRAINLIEST! 50 POINTS
I. Collect data from several fast-food chains on the number of fat calories and grams of saturated fat in menu items. A record at least 12 ordered pairs of (fat calories, grams of saturated fat). Organize your data in a table.

II. Make a scatter plot of the data on graph paper. Be sure to label the axes and use an appropriate title for the graph.
You may wish to use a graphing calculator, spread sheet, or other technology resource (such as the graphing utility link below) to aid you in graphing.

III. Draw a trend line for the scatter plot. Use the following scatter plot of the ordered pairs (fat grams, total calories) as an example.


IV. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.)

Note: Graphing calculators and spread sheets have features with which to draw trend lines and determine the equation. You may choose to use one of these options. If you use technology, indicate what steps were taken to arrive at your equation.

V. Using the slope and y-intercept, write the equation of the trend line ( y = mx + b).
VI. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step V to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work.

VII. Search for an item in a fast-food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value.

Answers

Answer:

IV. Two points: (21,430), (29,541)

29/541 - 21/430,  541-430 = 111,  29 - 21 = 8 ,

now we have 111/8 which equals 13.87, or rounded to 14the slope is 14

V. the equation is y = 14x + 94

VI. If an item has 600 calories: y = 14x + 94, substitute for y, 600 = 14x + 94, 600 - 94 = 506, 506 divided by 14 = 36.14. There are approximately 36 grams of fat in an item that has 600 calories.

VII. In my estimate, I calculated that there would be approximately 36 grams of fat in a 600 calorie item. When compared to a menu item of 600, there was only about 29 grams of fat. There are many factors that can cause such a guessed difference in between these items' grams of fat. My estimate for one was expecting a higher content of fat than what is actually advertised on this fast food menu. The fast food items that I include in my scatter plot may have all had a higher calories to fat grams ratio in general compared to this singular menu item. The location of these fast food restaurants influences the produce, meat, and other ingredients that all add to the grams of fat in the item served on the menu. 

What is the length of the hypotenuse of the triangle when x = 9?

4x+5
3x

Help ASAP

Answers

Answer:

[tex]4x + 5 \: if \: x = 9 \\ 4(9) + 5 \\ = 41 \\ \\ 3x = 3(9) \\ = 27[/tex]

[tex]41 + 27 \\ = 68[/tex]

The answer is 68 i think atleast anyways have a good day good luck too

-5(x+5)<-15 or -6(x-3)<-6

Answers

Answer:

-6(x-3)<-6

Step-by-step explanation:

If you had $1000 and it earned 5% interest for one year, you would have earned __________in interest that year.

Answers

Answer:

Simple interest = P × R × T/ 100

simple interst = 1000 × 5 × 1 / 100

simple interst = 10 × 5 × 1 = 50

one year interst = $ 50

The height of the corn stalk in inches over the first 8 weeks of growth could be roughly modeled by the function
h(t) = 2(1.6 t)
where t is measured in weeks.

On which week of growth would the corn stalk grow to 21 inches?

A.week 1
B.week 4
C.week 3
D.week 5

Answers

Answer:

D

Step-by-step explanation:

The graph show that the corn stalk grown to 21 inches at week 5.

Find the values of x, y, and z.

Answers

Answer:

x = 7

y =  26

z = 6

Step-by-step explanation:

First, we can use vertical angles to say the angle with measure 10x + 6 is equal to the angle with measure 16x - 36. Because of this, we can set up an equation to solve for x:

10x + 6 = 16x - 36

6 = 6x -36

6x = 42

x = 7

Next, we can realize the angle 10x + 6 and 4y are supplementary and add up to 180 because they form a straight line. We can set up and solve the equation:

10x + 6 + 4y = 180

We found x = 7, so we can plug that in:

70 + 6 + 4y = 180

76 + 4y = 180

4y = 104

y = 26

Now, we can realize that the angle 4y and 16z + 8 are vertical angles; this gives us the equation:

4y = 16z + 8

We found that y = 26, so we can plug that in to get:

104 = 16z + 8

16z = 96

z = 6

Inscribed angles math lib
Need help with 5, 6, 7, 8 thank you !!!

Answers

Answer:

5. B) x = 7

6. D) 35°

7. C) 67°

8. A) 142°

Step-by-step explanation:

5. Inscribed angle of a semicircle is equal to 90°. Therefore,

16x - 22 = 90

Solve for x

16x - 22 + 22 = 90 + 22

16x = 112

16x/16 = 112/16

x = 7

6. Recall: inscribed angle = ½(intercepted arc)

3x - 1 = ½(8x - 26)

2(3x - 1) = 8x - 26

6x - 2 = 8x - 26

Collect like terms

6x - 8x = 2 - 26

-2x = -24

-2x/-2 = -24/-2

x = 12

m<LMN = 3x - 1

Plug in the value of x

m<LMN = 3(12) - 1 = 36 - 1

m<LMN = 35°

7. Recall: inscribed angle = ½(intercepted arc)

Therefore,

4x + 28 = ½(11x - 1)

2(4x + 28) = 11x - 1

8x + 56 = 11x - 1

Collect like terms

8x - 11x = -56 - 1

-3x = -57

-3x/-3 = -57/-3

x = 19

Arc BC = 360° - (Arc AC + Arc AB) (Full circle)

Substitute

Arc BC = 360 - (11x - 1 + 85)

Plug in the value of x

Arc BC = 360 - (11*19 - 1 + 85)

Arc BC = 360 - (209 - 1 + 85)

Arc BC = 360 - 293

Arc BC = 67°

8. Inscribed angles intercepted by the same arc are equal. Therefore,

8x - 41 = 5x + 1

Collect like terms

8x - 5x = 41 + 1

3x = 42

3x/3 = 42/3

x = 14

5x + 1 = ½(arc PS) => inscribed angle = ½ of intercepted arc

2(5x + 1) = arc PS

Plug in the value of x

2(5*14 + 1) = arc PS

2(70 + 1) = arc PS

2(71) = Arc PS

Arc PS = 142°

which situation can be represented by this equation?
2,500 + 40x = 7,300-60x

Answers

Answer:

x= 48

Step-by-step explanation:

[tex]2500+40x+60x=7300\\40x+60x=7300-2500\\100x=7300+2500\\100x=4800\\x=4800/100\\x=48[/tex]

 Which is this?

A) Angle of Elevation

B) 45-45-90 Triangle Theorem

C) Geometric Mean (Altitude) Theorem

D) 30-60-90 Triangle Theorem

E) Geometric Mean

F) Converse of The Pythagorean

G) Cosine Ration

H) Angle of depression

I) Area of the triangle

Answers

The answer is I. Area of a triangle

Solve for X. Round to the nearest 10th. Need to use COS, TAN, or SIN

Answers

tan( 75 ) = 17 / x

3.732 = 17 / x

x = 17 / 3.732

x = 4.5551

x = 4.56


i honestly don’t understand this ::))

Answers

Answer:

Answer is 100 sq m

Step-by-step explanation:

A = [tex]a^{2}[/tex]

A = [tex]10^{2}[/tex]

A = 100 sq m

HOPE IT HELPS

(FROM CROSS)

0.22+0.15= adding decimals

Answers

Answer:

0.37

Step-by-step explanation:

just add them

At a university, 6 out of every 13 students l on campus if there are 156 students enrolled how many live on campus

Answers

there is the answer:)
What the guy above me said :^

subscrbe to 941 teaser out now t!nyurl d0t com/941channel

Answers

Uhhh no thank you- :)

solve this parallelogram angle

Answers

Answer:

103

Step-by-step explanation:

angles formed on the same line of a parallelogram are supplementary angles

( the angle with the measure of 77 degrees and the angle labeled "x" are formed on the same line which means they are supplementary )

supplementary angles add up to equal 180

hence, 77 + x = 180

180 - 77 = 103

Hence, x = 103

Answer:

103°

Step-by-step explanation:

Hint :sum of angles of quadrilateral = 180°Simplify:

77° + x° = 180°

x° = 180° - 77°

x° = 103

Hope it is helpful....

What is the quadratic equation for the following set of data?

Please help, and thanks if you do!

Answers

Y=9...............it’s 9 I had the same thing

in circle k secant pec intersects chord bkd at f if ae is congruent to ab the measure of arc ed is 32 and arc bc: arc cd is 2:1 then find the measure of angle p

Answers

Answer:

60°

Step-by-step explanation:

Diameter of circle = BD ; Hence, BD = 180°

Arc BC : CD = 2 : 1

BD = BC + CD = 180

BC = 2/3 * 180 = 120°

CD = 1/3 * 180 = 60°

Since ED = 32°

BE = 180 - 32 = 148°

BA = AE

BE = BA + AE

BA = AE = 148° / 2 = 74°

Arc ABC = BA + BC

Arc ABC = 74° + 120 = 194°

P = (Arc ABC - AE) / 2

P =(194 - 74) / 2

P = 120 / 2

P = 60°

I got this wrong and I’m taking the test again please tell me which one is right

Answers

Answer:

2q+5=s

Step-by-step explanation:

You wouldn't subtract the 5 extra credit, you would add it

Answer:

2q + 5

Step-by-step explanation:

Each question is worth 2 points and Q represents every question. You would only add the 5 because Katelyn gets  5 extra points when she answers only one question.

What is an equation of the line that passses through the points (-8,-6) and (3,-6)

Answers

Answer:

y = -6

Step-by-step explanation:

Notice the y coordinate of both points is -6

Therefor the line is horizontal

y = -6

Step-by-step explanation:

[tex]gradient = \frac{( - 6 - ( - 6))}{(3 - ( - 8))} \\ = \frac{0}{11} \\ = 0 \\ from \: \: y = mx + c \\ at \: (3, \: - 6) \\ - 6 = (0 \times 3) + c \\ c = - 6 \\ y = mx + c \\ y = - 6[/tex]

Which expression is equivalent to 6k? – 7k – 20?
A (3k-4)(2k-5)
B (6k-5)(6k+4)
C (3k+4)(2k-5)
D (3k+4)(3k+5)

Answers

Answer:

Your answer is C, (3k+4)(2k-5)

Step-by-step explanation:

A pie has a diameter of 9 inches. What is the circumference of the pie

Answers

Answer:

pretty sure it is 56.55  

Step-by-step explanation:

Diameter of a cylindrical tank is 9 feet and the height of a tank is 25 feet. Find the volume of the cylindrical tank to the nearest hundredth place.

Answers

Answer:

write a story or description in your society caused by extremity

Aaron has 50cent. he buys a pencil for 40cent how much change does he get​

Answers

Answer:

10¢

Step-by-step explanation:

Step 1: Subtract 40 from 50

[tex]50 - 40 = 10[/tex]

Then, Aaron will get 10 cents back

Answer:

10 cents

Step-by-step explanation:

Find the number of faces, edges, and vertices of the solid. Please help me with this problem!

Answers

Answer:

Faces: 7, Edges: 12, Vertices: 7

Step-by-step explanation:

Just count them

this is an emergency please help!!!!!!!!!!!!!

its d0wn below will mark brainlist

Answers

Answer:

ill edit this message in a moment with the answers

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

sum of interior angles of the octagon is 1080 degree

Step-by-step explanation:

forluma:

(n-2)*180 degree

since octagon has 8 sides

(8-2)*180 degree

6*180

1080 degree

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