A teacher graded the tests for each of her students. She calculated a mean grade of 80 and a
standard deviation of 3. One of her students, Katrina, had a z-score of 2. What grade did Katrina
get on the test?

Answers

Answer 1

Answer:

Katrina got 86 in her test

Step-by-step explanation:

given

mean = 80

standard deviation = 3

z-score = 2

Let score of Katrina = x

Recall z-score is calculated by

z-score = (x-mean) / standard deviation

substitute values and solve for x

2 = (x-80)/3

x-80=6

x = 86


Related Questions

7. Identify the appropriate mixed number for the picture shown.
A. 172
B. 214
C.212
D.3
Mark for review (Will be highlighted on the review page)

Answers

Answer:

it's 2 1/2

Step-by-step explanation:

Because 2 box are shade in and the last box is half shade

When reaching mile marker 6 on the trail, Randy uses his GPS to find that his current elevation is 6220 feet. If he follows the trail until its end at mile marker 13, his elevation will be 8390 feet. What is the average change in elevation of Randy's position from mile marker 6 to mile marker 13, in feet per mile marker?

Answers

Answer:

310 feet per mile marker

Step-by-step explanation:

The average change will be the difference in elevation over the difference in mile markers. Randy’s elevation changed from 6220 feet to 8390 feet, which is a difference of

8390-6220=2170 feet. He started tracking at mile markers 6 to mile markers 13, which is a difference of

13-6=7 miles markers. The average change in elevation is 2170 feet / 7 mile markers = 310 feet per mile marker.

4.
Andrew wants to buy a pair of jeans costing $60. Sales tax on his
purchase is 13%.
a)
How much tax will Andrew be charged?

Answers

Answer:

$7.80

Step-by-step explanation:

Find how much tax he will be charged by multiplying 60 by 0.13:

60(0.13)

= 7.8

So, he will be charged $7.80 in tax

Answer:

$7.80

Step-by-step explanation:

13% of 60 = 7.8

so in total 7.80 would be Andrew's TAX

[ Correct me if I'm wrong!! ]

Can someone answer this for me (in the picture)

Answers

My answer would be D, but I am not sure.

what is the slope of a line perpendicular to 3x+2y = 7?​

Answers

Answer:

2/3

Step-by-step explanation:

First find the slope of the line

3x+2y = 7

Subtract 3x

2y = -3x+7

Divide by 2

y = -3/2x +7/2

This is in slope intercept form  y = mx+b  where m is the slope

The slope is -3/2

A line perpendicular is the negative reciprocal

-1/(-3/2)

2/3

The slope of the perpendicular line is 2/3

Answer:

Slope of the line perpendicular to the given line = 2/3

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

That is,

      [tex]slope_{1} \times slope _ 2 = - 1\\[/tex]

Given equation of the line :

                                  3x + 2y = 7

                                          2y = - 3x + 7

                                          [tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]

[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]

Find slope of the line perpendicular to the given line:

[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]



y=3x+2
y=3x−6

how many solutions does the system have

Answers

Answer:

no solutions

Step-by-step explanation:

The lines are parallel since they have the same slope

y = mx+b where m is the slope

They have different y intercepts (b)

The will never intersect so they have no solutions

which statement corresponds to the conjunction x > -5 and x < 14

Answers

Answer:

-5 < x < 14

Step-by-step explanation:

-5 < x < 14

-5 < x < 14

hope it is helpful to you ☺️

NEED HELP END OF THE YEAR TEST
Graham was given the following function table.

What is the output if x=8?

Answers

Answer:

37

Step-by-step explanation:

+ 5 in the y column every row, so 8 would be 37

Answer:

37?

Step-by-step explanation:

2  7

3  12

4  17

5  22

6  27

7  32

8  37

What’s the answer to this answer fast please

Answers

Answer:

Hello! answer: 25

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!

Ashe and her two friends will run a relay race. The length of the race is 4/6 mile. If each person runs the same distance, how far will Ashe run?

Answers

Answer:

Ashe will run 6 miles

Step-by-step explanation:

4/6 x 3/1 = 12/6 divided by 6 (for numerator and denominator) = 6/1 = 6

25/22 as a decimal rounded to the nearest hundredths

Answers

Answer:

Hi there!

Step-by-step explanation:

First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)

Hope you enjoy!

what is the least common denominator of 1/3 and 4/7?? plsss explain​

Answers

Answer:

21

Step-by-step explanation:

The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.

(FYI: In some cases, if the product is even, it may not always work to multiply them together)

Answer:

21

hope this helps

have a good day :)

Step-by-step explanation:

3 multiples are 3, 6, 9, 12, 15, 18, 21, 24

7 multiples are 7, 14, 21, 28

so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21

Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?

Answers

Answer:

Chase would be 24 years old

A friend of yours can shoot free throws with 75% accuracy (she makes 75%
of her shots). If she attempts 25 free throws, what's the probability she'll
make at least 20?

Answers

Answer:

4

Step-by-step explanation:

-7 2/3 + ( -5 1/2) + 8 3/4 =

Answers

Answer:

- 53/12

Step-by-step explanation:

See the image below:)

2 7/9 divided by 5/6 in fraction.

Answers

The fraction after the division is A = 46 / 15

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the first fraction be p = 2 7/9

Let the second fraction be q = 5/6

Now , A = p/q

On simplifying the equation , we get

A = 2 7/9 / 5/6

A = ( 25/9 ) / ( 5/6 )

A = ( 25/9 ) x ( 6/5 )

On simplifying , we get

A = 138/45

A = 46 / 15

Hence , the fraction is A = 46/15

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ2

What is the approximate volume of the cone? Use V=13πr2h
V
=
1
3
π
r
2
h

A 282.6 in3
282.6 in cubed

C 94 in3
94 in cubed

B 141 in3
141 in cubed

D 30 in3
30 in cubed

Will Mark Brainliest

Answers

Answer:

C is the correct answer

Step-by-step explanation:

1/3 × pi × 3² × 10 = 94.24777961

Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.75, what is the probability of someone's height being anywhere from 60 inches to 70 inches? O A. 75% O B. 65% C. 70% D. 60% SUBMIT​

Answers

OPTION A 75% is the correct answer

Of the 85 learners that packed a lunch for the field trip, 60 have an apple in their lunch and 75 have an orange. All of the learners have at least one apple or orange in their lunch.

What is the probability that a learner chosen at random from the field trip has an orange but not an apple?

Answers

Using it's concept, it is found that there is a 0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 85 learners, 75 - 60 = 15 have an orange but not an apple, hence the probability is given by:

p = 15/85 = 0.1765.

0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

HELPPP ASAPPPP ONLY ONE WEEK OF SCHOOL LEFT

Answers

Answer:

D, no idea how the other one came to the conclusion that B would be right

f(0) is -3, but there is no zero point at -3 (-3/0)

The graph has no minimum value btw, just a maximum value of 1

pls brainliest

GIVING OUT BRAINLIEST HELP ME OUT PLEASEE!!!

Answers

Answer:

20.9

Step-by-step explanation:

Circumference = 10 * 2 * pi = 62,831853

lenght of the arc

62,831853 : 360 = x : 120

x = (62,831853 * 120)/360 = 20.9

20.9 with pie and cercamfrense

Which expression is equivalent to square root 8x^7y^8?

Answers

Answer: 2x^3y^4 sqrt 2x or C on edge

Step-by-step explanation:

2x^3y^4 sqrt 2x on edge

answered Which number line represents the solution to the inequality 4x +20 <40

Answers

Answer:

the one that has a hollow dot on 5 with the line pointing left

Step-by-step explanation:

4x+20<40

   -20    -20

4x<20

/4     /4

x<5

:) ur welcome

Which expression is equivalent to (2g^5)^3/(4h^2)^3

Answers

Answer:

g^15/8h^6 is the simplified version of the equation which also equals the same thing :)

Answer:

The answer is A

Step-by-step explanation:

HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS

Answers

Answer:

A: 360

Step-by-step explanation:

Split the trapezoid into 2 shapes

Then find the area of the rectangle on the left:

18 × 15 = 270 square yards

Now for the triangle, first find the base by subtracting the 2 parallel lines:

25 - 15 = 10 yards

0.5(10 × 18) = 90 square yards

Add both areas to find total area:

270 + 90 = 360 square yards

All this can be seen in the figure below:

The trapezoid above is cut into two triangles with a black line. Find the area of the two triangles and add the areas together. (HINT: Don't forget that you have to divide by 2 for the area of triangles!) No labels.

Answers

Answer:

[tex]42[/tex]

Step-by-step explanation:

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. In the trapezoid, the two triangles share a height of 6, however one has a base of 6 and the other has a base of 8.

Area of smaller triangle (triangle on the left): [tex]\frac{1}{2}\cdot 6 \cdot 6=18\:\mathrm{cm^2}[/tex]

Area of larger triangle (triangle on the right): [tex]\frac{1}{2}\cdot 8 \cdot 6=24\:\mathrm{cm^2}[/tex]

Therefore, the sum of their areas are [tex]18+24=\boxed{42\:\mathrm{cm^2}}[/tex]

Answer:

Step-by-step explanation:

The triangle on the left is going to be a little trickier than the one on the right.

Right

height = 6

base = 8

Area = 1/2 * 6 *  8 = 24

Left

h=6

base = 6

Area = 1/2 * 6 * 6

Area = 18

Total Area = 18 + 24 = 42

Use trigonometric ratios to solve each right triangle. Be sure to rationalize the denominators when you write your answers.

Answers

Answer:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

How can you compare properties of two functions each represented in a different way?

Answers

Step-by-step explanation:

there are three ways to compare functions that is Madhavi Kali numerically and graphically latest compared to function numerical letters considered an example of y equals to 3 X + 5 in this example why is a dependent of ex so in other words if we keep on sending the value of x then why will increase as well

Is this correct? If not which is correct?

Answers

wrong it’s 21 inches
3x28 divided 4 = 21 inches

If taina makes 5 dollars a hour for babysitting, and babysat for 5 hours on monday how much money did she make?

Answers

Answer:

25

Step-by-step explanation:

Take the amount earned per hour and multiply by the number of hours to determine the total amount earned

5 * 5 = 25

Answer:

25 dollars on monday

Step-by-step explanation:

5 dollars an hour times 5 hours

5x5=25

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