Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9. Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24. Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.

Required:
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Answers

Answer 1

Answer:

Tobias did best on the aptitude test.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Emilio

Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.

z = (x-μ)/σ

z = 76 - 70.6/9

z = 0.6

For Alissa

Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.

z = (x-μ)/σ

z = 298.8 - 282/24

z = 0.7

For Tobias

Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.

z = (x-μ)/σ

z = 8.04 - 7.2/0.4

z = 2.1

Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.


Related Questions

PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X

Answers

84 I'm sure it's that I did it before

x equals 84°, option D (:

Solve each proportion for x. Round to the nearest tenth.
117/45=x/95

Answers

Answer: x=247

Step-by-step explanation:

1. Set up the equation

117/45=x/95

2. Cross multiply

117(95) = 11115

45(x)= 45x

3. Set both equal to each other

11115=45x

4. Divide 45 on each side

11115/45 = 45x/45

5. Solve for x

x=247

Hope this helps :)

-Morgan

!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?

Answers

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

Answer:

they are adjacent

Step-by-step explanation:

Adjacent means they are next to each other; and both these angles are right beside each other

Find the value of x
PLEAASEEE HELP!!!

Answers

Answer:

x = 37

Step-by-step explanation:

4x + 3 + x - 8 = 180

4x + x - 8 + 3 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps!

Solve for S

P=4s

Please answer!!!!

Answers

Answer:

b

Step-by-step explanation:

divide both sides of the equation by 4 to leave s by itself

It’s definitely b hope that helps lmk if it’s correct

all drop down menus are 0-9
use drop down menus to complete each equation so the statement about its solution is true.

Answers

Answer: 5-4+7x+1 = [7]x+[not 2]

5-4+7x+1 = [not 7]x+[any number]

5-4+7x+1 = [7]x+[2]

The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?​

Answers

Answer:

9 degrees farenehit

Step-by-step explanation:

Answer:   -3 degrees Fahrenheit.

=====================================================

Explanation:

x = number of hours since 2 AM

y = temperature in degrees Fahrenheit

The starting temperature is -15 degrees, so the y intercept is b = -15.

The temperature goes up 3 degrees each hour, so the slope is m = 3

The equation is y = 3x-15

Now plug in x = 4 since 6 AM is four hours after 2 AM.

We get the following

y = 3x-15

y = 3*4-15

y = 12-15

y = -3

The temperature at 6 AM is -3 degrees Fahrenheit.

-------------------------

Check:

Start at -15 and add 3 for each hour

It might help to make a number line.

2 AM = -15 degrees

3 AM = -12 degrees

4 AM = -9 degrees

5 AM = -6 degrees

6 AM = -3 degrees

This confirms the answer.

Solve for x and y in the equation.
xy=80 and log x - 2 log y =1

Answers

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

2x+3y=10 8x+Ay=B
What Is the vaule of B

Answers

X-1/8 b-1/8ay hopefully this helps

Choose the best explanation that describes in words what the numerical value of the slope tells you.

a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Answers

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

ANSWER: 17

The distance horizontally is 15 units because 7-(-8) = 15

The distance vertically is 8 units because 8-0 = 0

Pythagorean theorem
a2 + b2 = c2
(225) + (64) = (289)

Square root 289 = 17 is the distance

What is wrong with the picture? Show work.

Answers

Answer:

The mistake is in the angles

Either both should be 69° or 70°

Hope this helps you Stay happy and safe Do mark as brainliest ✌️

How many lines of symmetry does this figure have?


Pls help

Answers

Answer:

4

Step-by-step explanation:

This figure has 4 lines of symmetry

On a drive from your home to town, you
wish to average 60 mph. The distance from
your home to town is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 45 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 60 mph?
Answer in units of mph.

Answers

Answer:

Your average speed must be 90 mph in the remaining distance in order to have overall average speed of 60 mph

Step-by-step explanation:

The rule of distance is d = v × t, where

v is the average speedt is the time

∵ You  wish to average 60 mph on a drive from your home to town

∵ The distance from  your home to town is 78 miles

→ Find the time of your journey using the rule above

∴ 78 = 60 × t

→ Divide both sides by 60

∴ [tex]\frac{78}{60}[/tex] = t

t = [tex]\frac{13}{10}[/tex] hours

∵ You have averaged only 45 mph in the first 39 miles (half way)

∴ v1 = 45 mph

∴ d1 = 39 miles

→ Find the time of this part

∴ 39 = 45 × t1

→ Divide both sides by 45

∴ [tex]\frac{39}{45}[/tex] = t1

t1 = [tex]\frac{13}{15}[/tex] hour

→ Subtract the time of the first part from the time of the journey to

  find the time for the second part

∵ t2 = t - t1

∴ t2 = [tex]\frac{13}{10}[/tex] - [tex]\frac{13}{15}[/tex]

t2 = [tex]\frac{13}{30}[/tex] hour

→ Now let us find the average speed of the second part of his journey

∵ d2 = 39 miles ⇒ (78 - 39)

∵ t2 = [tex]\frac{13}{30}[/tex] hour

∴ 39 = v2 × [tex]\frac{13}{30}[/tex]

→ Divide both sides by [tex]\frac{13}{30}[/tex]

∴ 39 ÷ [tex]\frac{13}{30}[/tex]  = v2

∴ 90 = v2

v2 = 90 mph

Your average speed must be 90 mph in the remaining distance in

   order to have overall average speed of 60 mph

Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay
for his bananas?

Answers

Answer:

$7.35

Step-by-step explanation:

To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35

Find the x-intercept in the function: 3x-2y =6

Answers

Answer:

x=(2,0)

Step-by-step explanation:

3x-2y=6

3x-2(0)=6

3x=6

x=2

Question

5°F - 32)

The function to convert Fahrenheit to Celsius is °C = (°F) =

The inverse function will

9

convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how

determining this inverse is different than determining the previous inverses.

The inverse function is °F = -(°C)=

The F and °C (select) V need to be switched like the x and y did in the previous functions.

(select) degree measures, and because of the real-world relationship, switching them

(select) ✓ make sense.

Answers

Answer:

[tex]F = \frac{9C + 32}{5}[/tex]

Step-by-step explanation:

Given

[tex]C = \frac{(5F - 32)}{9}[/tex]

Required

Determine the inverse function

[tex]C = \frac{(5F - 32)}{9}[/tex]

Make F the subject of formula:

Multiply through by 9

[tex]9C = 5F - 32[/tex]

Add 32 to both sides

[tex]9C + 32= 5F[/tex]

Divide through by 5

[tex]\frac{9C + 32}{5}= F[/tex]

[tex]F = \frac{9C + 32}{5}[/tex]

The correct Standard Form of the equation y=3/2x+3

Answers

Answer:

3x-2y=-6

My mom listening to wap

A jewelry store is having a 45% off sale for all necklaces. During this sale, what is the cost of a necklace that regularly costs $59.98?​

Answers

Answer:

32.99

Step-by-step explanation:

59.98(45%)=26.99

59.98-26.99=32.99

Answer:

$32.99, the discount took off $26.99.

Step-by-step explanation:

Good luck!

Harry drove 5 hours on the freeway. then decreased his speed by 20 miles per hour and drove for 3 more hours on a country road. if his total trip was 396 miles, than what was his speed on the freeway?​

Answers

Answer:

What are the options

Step-by-step explanation:


Write 9/18 as a decimal. Identify the decimal as terminating or repeating.
a. 0.5; repeating
b. 0.9; terminating
c. 0.5; terminating
d. 1; repeating

Answers

Answer:

it is c

Step-by-step explanation:

Answer:

C.) 0.5; Terminating

Step-by-step explanation:

Answer:

918=0.5

Showing the work

You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 18 using

GCF(9,18) = 9

9÷918÷9=12

We know that

12

is the same as

1÷2

Then using

Long Division for 1 divided by 2

=0.5

Hope I helped

Brainliest plz

Find mo 8 5 m n o
Mo=

Answers

Answer:

MO is 13 units

Step-by-step explanation:

If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment

Point N ∈ segment MO

→ That means point N divide segments MO to two parts MN and NO

∴ Point N divides segment MO into two parts MN and NO

→ That mans the length of segment MO equals to the sum of

   lengths of MN and NO

MO = MN + NO

∵ MN = 8 units

∵ NO = 5 units

∴ MO = 8 + 5

MO = 13 units

HELP ME ASAP!!! I WILL MARK BRAINLIEST!!

Answers

I can help
What’s up

Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads

Answers

Answer:

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the rate ⇒ slopeb is the initial amount ⇒ y-intercept

∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour

→ Find his rate per hour by dividing the number of pages by its time

His rate of reading = 42 ÷  [tex]\frac{3}{4}[/tex] = 42 ×  [tex]\frac{4}{3}[/tex] = 56 pages per hour

∵ His rate = 56 pages/hour

m = 56

Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

There is no initial amount of reading

b = 0

N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z

Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?

Answers

Answer: The answer is 11/12 problems

Step-by-step explanation:

You add 2/12 + 9/12 which gives you a result of 11/12

What value of p makes this equation true?
3/4 p- 1/4p + 3 = -2

Answers

Answer:

-10

Step-by-step explanation:

p/2=-5

p=-10

Answer:

-10

Step-by-step explanation:

3/4p-1/4p+3=-2

1/2p+3=-2

1/2p=-5

-10

a horizontal line , such as y=4, has a slope of what

Answers

Answer:

0

Step-by-step explanation:

A horizontal line has a slope of zero and a vertical line has an undefined slope

Find the Slope And Y- Intercept .

Answers

Answer:

slope= 3/4

y intercept= 1/2

Step-by-step explanation:

First find the slope using the formula y2-y1/x2-x1.

the points given: (-6,-4) and (2,2)

so plug in the points into the formula and you'll have:

2-(-4)/2-(-6)=

2+4/2+6=

6/8=

3/4

to find the y intercept, use the formula y-y1=m(x-x1)

y+4=3/4(x+6)

y+4=3/4x+9/2

y=3/4x+1/2

which postulates make these triangles congruent

Answers

Answer: 1) ASA

2) AAS/SAA

3) Not possible

Step-by-step explanation: 1 is asa because it has 2 angles and a side that are on the same line. 2 is aas/saa because it has a side then two angles. 3 is not possible because it’s ssa and ssa is not used to prove triangles congruent

Which one is > greater or < less than or = equal to?? 6+√8____√6+8​

Answers

[tex]\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }[/tex]

[tex]6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }[/tex]

Other Questions
John recently was diagnosed with an infection within the oral mucosa (within the mouth) due to poor dental hygiene. one of the symptoms associated with poor oral hygiene and infection is known as? I'm soooo freakin' bad at math bruh....someone please help :/28. Which of the following pairs of integers will give you a sum of 12 and a product of 35? a. 6, 6 b. 4, 8 c. 5, 7 d. 5, 729. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have? a. 7 nickels, 4 dimes b. 12 nickels, 9 dimes c. 13 nickels, 10 dimes d. 6 nickels, 12 dimes30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions. a. 2 in. by 11 in. b. 4 in. by 9 in. c. 3 in. by 12 in. d. 2 in. by 18 in. Look at image Please help Im struggling How does freedom of the press protect our democracy ? What is the relationship between adjectives and adverbs? 10. Which of the following is NOT correctly matched?A. Salt: Na and C: ElementB. Water: H and O: CorapoundC. Carbon dioxside: C and O: Compound D. Magnesium chloride: Mg and C: Compound five times the sum of a number and four The original price for a jacket is $124.95. It is on sale for 20% off. Which of the following gives the best estimate of the savings? Brunelleschi's Dome on the Dumo in Florence shows the advances in what subject? Climb Il Duomo Florence, Italya. physicsb. mathc. architectured. Science To describe myself in french: Hi, my name is Ruth, I am 16 years old, Have dark brown hair and brown eyes. Like to play softball. My family is crazy, funny and loud.My friends name is saige, Shes tall and skinny. (Can someone pls help translating this, no google translate again) Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side? Why do candidates interested in pretrial services need to have an interest in different locations?A. Their chief work is to monitor electronic ankle bracelets.B. These services are offered by various types of agencies in different locations.C. They will learn to serve in one specific judge's jurisdiction.D. They will need to learn everything about parole. Which do you believe a writer depends on to make his or her argument persuasive: ethos, pathos, or logos? Explain your reasoning. In 6/8 time, there are 8 beats per measure, and the 8th note equals one beat.A. True B. False A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction? Write the following equation in the general form Ax+ By+ C: 1/2y -1/3x -1 = 0 a.) -2x +3y -6 = 0b.) 2x -3y -6 = 0 c.) 2x 3y +6 = 0 IT professionals have a responsibility to educate employees about the risks of hot spots. Which of the following are risks associated with hot spots? Check all of the boxes that apply.third-party viewingunsecured public networkpotential for computer hackersunauthorized use Which sentence from the article provides evidence that professional gaming is a major league sport Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is2x y = -8. Fully reduce your answer. what is the correct article to "j'aimerais ____ ufs"