On a standardized exam, the scores are normally distributed with a mean of 120 and
a standard deviation of 10. Find the z-score of a person who scored 115 on the exam

Answers

Answer 1

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

Answer 2

Answer: z=−1.1

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

z-score formula

z=\frac{104-115}{10}

z=

10

104−115

Plug in values

z=\frac{-11}{10}

z=

10

−11

Subtract

z=-1.1

z=−1.1

Divide


Related Questions

simplify this number 27:81​

Answers

Answer:

I believe the simplified form of this ratio is 1:3

*The common factor to both numbers is 27.

27÷27=1 and 81÷27=3

So, that's where the 1:3 came from

Write down an expression for the perimeter of a rectangle. With length-L and width-W given your answer.​

Answers

Answer:

[tex]2l + 2w[/tex]

Step-by-step explanation:

We know that a rectangle has four sides. And each pair of opposite sides are equal. We can set the length to [tex]l[/tex] and the width to [tex]w[/tex]. Since we know that both variables have a side that is equal to it, we know that the sum of the sides is[tex]l+l+w+w = 2l + 2w[/tex].

Please please help please

Answers

Yikes i dont know this but thanks for the coins C:

4x + 14 = 4x + 24 its to hard for me

Answers

Answer:

x=10

Step-by-step explanation:

i think the answer is x = 10

Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the angle formed by it and the hypotenuse is 50°. If Priya wants to build a fence around her garden, how many meters of fence will she need? Round your answer to the nearest meter.

Answers

Answer:

19

Step-by-step explanation:

:)

The amount of fence that Priya would need (in meters) is 19 meters approximately.

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

For this case, we've to find the length of the fencing she needs to cover her garden.

Length of fencing needed = Perimeter of the considered right triangle = sum of its sides' lengths

Using the image attached below,  from the perspective of angle A which  is of 50 degrees from inside, we get:

|AB| = base length = 5 meters (given)|BC| = perpendicular length = p meters (say)|AC| = hypotenuse length = h meters (say)

Using tangent ratio,

[tex]\tan(m\angle A) = \tan(50^\circ) = \dfrac{p}{5}\\\\p = 5 \tan(50^\circ) \approx 5.96 \: \rm m[/tex]

Using sin ratio,

[tex]\sin(m\angle A) = \sin(50^\circ) = \dfrac{p}{h}\\\\h = \dfrac{p}{\sin(50^\circ)} \approx \dfrac{5.96}{\sin(50^\circ)} \approx 7.78 \: \rm m[/tex]

Thus, perimeter of the triangle = 5 + p + h ≈ 18.74 m ≈ 19 m

Thus, the amount of fence that Priya would need (in meters) is 19 meters approximately.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

pls help will mark brainlest

Answers

Answer:

(5,7) , (2, -3) , (2,4)

Step-by-step explanation:

your first number, the x, is the horizontal number. The second, y, is the vertical number. So if you look at A, the x is 5, and you then have to go up to 7 to reach the intercept

5) (3a + 1) - (4 + 2a)

Answers

Answer:

5a - 3

Step-by-step explanation:

3a + 2a = 5a

1 - 4 = -3

5a + (-3) or 5a - 3

The most efficient first step in the process to factor the trinomial 3x³-24x² + 36x is :
O A. factor out 3
O B. factor out 3x
O C. factor out (x - 2)
O D. factor out-1​

Answers

Answer:

B

Step-by-step explanation:

Question 7: The red line has an equation of y = -1/2 x + 2. The blue line is perpendicular to the red line. Write the equation for the blue line. EXPLAIN PLS

Answers

Answer:y=2+2x

Step-by-step explanation:

Perpendicular means the slope is the opposite reciprocal of the red line’s. Opposite reciprocal means that if the red line has a negative slope the blue line will have a positive one, and you flip the fraction of the red line from 1/2 to 2. The y intercept is at 2 so that’s why there is a +2

The measures of the angles of a triangle are in the extended ratio 7:14:15.
Find the measures of the angles of the triangle.
Please i need help

Answers

Can you post a picture?

It would make it so much easier.

The population of a city is 100,000 and the annual growth rate is of 4.2%. Write an equation to model the population y after x years.

Answers

Answer:

y= 100,000*(1.042^x)

Step-by-step explanation:

Giving the following information:

Present Value= 100,000 people

Growth rate (g)= 4.2% per year

To calculate the future value (y) of the in any given year (x), we need to use the following formula:

y= PV*(1 + g)^x

y= 100,000*(1.042^x)

For example, for 5 years:

y= 100,000*1.042^5

y= 122,839.66 = 122,839

What is the domain and range of this graph?
(Pls don’t answer if you don’t know I rly need help<3 )

Answers

Answer:

Domain is all real numbers. Range is [36- negative infinity]

please answer this for me?

Answers

Answer:

n/a

Step-by-step explanation:

how does it feel

I ask for your help fellow strugglers

Answers

Answer: C is false

Step-by-step explanation: If B is correct and C is saying otherwise that must mean it's the only false choice :) brainliest would be appreciated :)

Let x be an even integer. What is the product of the next two consecutive even integers?

O x^2+2x+4
O x^2+6x+8
O x(x+1)(x+2)
O x^2+3x+2​

Answers

Answer:

The desired product is (x + 2)(x + 4).

Step-by-step explanation:

If x is an even integer, x + 2 is the next consecutive even integer and x + 4 the next.  

The desired product is (x + 2)(x + 4).

Evaluate each expression using the values m = 7, r = 8, and t = 2.
1. 5m – 6
2. 4m + t
3. r/t
4. mt
5. 5t + 2m
6. rm
7. 3m – 5t
8. mr/t

PEEEEASSSSEEEE HELP!!!! :(

Answers

So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.

5m-6

If m is equal to 7, then replace m with 7.

5(7)-6

5x7=35 so the expression is now 35-6. Solve.

35-6=29

So that was the first one.

4m+t

We just do what we do with the first problem.

4(7)+(2)

4x7=28 so the expression is 28+2.

28+2=28

---

hope it helps

p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.

Answer:

1,5(7)-6=29

2,4(7)+2=30

3,8/2=4

4,7*2=14

5,5(2)+2(7)=24

6,8*7=56

7,3(7)-5(2)=11

8,7*8/2=28

Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text by 20\text{ cm}20 cm20, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below.

Answers

Answer:

1196 cm3

Step-by-step explanation:

Answer:

1196

Step-by-step explanation:

From the equation, find the axis of symmetry of the parabola.
y = 2x^2 + 4 x - 1

a. x = 3
b. x = -1
c. x = -3
d. x = 1

PLEASE HURRY!!! WILL MARK AS BRAINLIEST!!!

Answers

Answer:

C

Step-by-step explanation:

Ur welcome

James joins Club One which charges a monthly membershi[ of $ 19.99. How much will James spend in all, if he continues his membership for 6 months?

Answers

Answer:

James will spend $119.94

Step-by-step explanation:

Multiply $19.99 by 6.

$19.99 x 6 = $119.94

Andy has $ 200 to buy a new TV . One- forth of that money came from his grandmother and he saved the rest . How much money did Andy save?

Answers

Answer and working out attached below. Hope it helps

Answer:

$150

Step-by-step explanation:

200/4=50

200-50=150

I need alittle help with this,

9x-5y+3x+2y-4y-y​

Answers

Answer:

12x - 8y

Step-by-step explanation:

9x - 5y + 3x + 2y - 4y - y​

9x + 3x - 5y + 2y - 4y - y

12x - 8y

Answer:

12x - 8y would be the simplified version of this equation if this is not the type of answer your looking for please lmk

Step-by-step explanation:

Which is closest to the height of a pine tree?
1. 9 inches
2. 9 Yards
3. 9 Miles

Answers

Answer:

2/b

Step-by-step explanation:

9 yards

Need actual help (please hurry)

Answers

a. n=5
20=4n
29/4=n
5=n

Answer fast plsssssss

Answers

Answer:

i cat see it

Step-by-step explanation:

A horse runs three races. The first is 2 miles, the second is 1,300 yards, and the last is 850 yards. How many yards does the horse run in all

Answers

Answer:

5670 yards

Step-by-step explanation:

Length of first race = 2 miles

Since, 1 mile = 1760 yards

Therefore, 2 miles = 1760 × 2

                               = 3520 yards

Length of second race = 1300 yards

Length of third race = 850 yards

Total distance to be run by the horse = 3520 + 1300 + 850

                                                              = 5670 yards

Laney bought a cup of coffee and two cookies at her
local coffee shop. The coffee cost $1.89. She got
$1.23 back as change from the $5.00 bill she gave the
cashier. How much did each cookie cost?
Page

Answers

Answer:

each cookie was $0.94

Step-by-step explanation:

5.00 - 1.89 = 3.11

3.11 - 1.23 = 1.88

1.88 divided by 2 = 0.94

Two power providers are marketing their electricity plans to residential customers. Everyday Electric Company offers a plan with a base cost of $50 per month plus $0.075 per kilo-watt-hour (kwh) used. Consumer Power Limited offers a plan with a base cost of $30 per month plus $0.125 per kilo-watt-hour (kwh) used. Which graph correctly compares the cost of these competing electricity plans?`

Answers

Answer:

D

Step-by-step explanation:

Solve for z. -2 (52 - 4) +62 = -4​

Answers

Answer:

if you learned, PEMDAS then it be easier! soo I'll help.

Step-by-step explanation:

-2 ( 52- 4 ) is 48. 48 + 62= 110

if that's wrong, then I'm sorry!

1

62

48

——

110

Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.

Find the expected number of red counters selected.

Answers

Answer:

1.4

Step-by-step explanation:

Probability of selecting a red counter :

Number of red counter / total number of counters

5 / (5 + 3) = 5 /8 = 0.625

Probability of selecting a blue counter = 0.375

Let number of red counters :

0, 1 or 2

0 red counters :

Expected value = x * p(x)

0 + (0.625*1) + (0.390625 * 2)

0 + 0.625 + 0.78125 = 1.40625

Expected number of red counters = 1.4

1. Identify the Parent function related to the given function. Choose the correct answer from the choices below:
f(x)=1/2x-9 4/5
Linear Function
Not a Function
Absolute Value Function
Quadratic Function

Answers

I believe it’s linear because it’s in y=mx+b form
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