For the 1,000-meter running event, Abby's mean time is 4.5 minutes with a standard deviation of 0.75 minutes. For the 800-meter event, Abby's mean time is 3.2 minutes with a standard deviation of 0.4 minutes. In the last track meet, Abby ran the 1,000-meter race in 4.1 minutes and the 800-meter race in 3 minutes. In which event did Abby have a better performance?

Answers

Answer 1

Answer:

He performed better in the 800 m race

Step-by-step explanation:

Obtain the standardized score for each event :

Zscore = (score - mean) / standard deviation

1000 meter :

Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1

Zscore = (4.1 - 4.5) / 0.75

Zscore = - 0.4 / 0.75 = - 0.5333

800 meter :

Mean = 3.2 ; Standard deviation = 0.4 ; x = 3

Zscore = (3 - 3.2) / 0.4

Zscore = - 0.2 / 0.4 = - 0.5

-0.5 > - 0.533

Hence, he performed better in the 800 m race

Answer 2

Answer:

Abby had a better performance in the 800-meter because this z-score was closer to the mean than the z-score for the 1,000-meter.

Step-by-step explanation:

did it on egde


Related Questions

Factor the expression using the GCF 7+14

Answers

Answer:

We found the factors and prime factorization of 7 and 14. The biggest common factor number is the GCF number. So the greatest common factor 7 and 14 is 7.

Step-by-step explanation:

The value of the Expression 7+ 14  using the GCF is 21.

What is Greatest Common Factor?

The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor. One 2 and one 3 are shared by those aged 18 and 24. The GCF of 18 and 24 is 2 * 3 = 6, which we multiply to obtain.

Given:

We have to add 7  + 14

Factorise the terms separately

7 = 7 x 1

14 = 7 x 2

So, the Greatest Common Factor is 7.

Thus, 7+ 14 = 7(1+ 2) = 7 x 3= 21

Learn more about Greatest Common Factor here:

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I need help......................

Answers

Answer:

ok....................

Step-by-step explanation:

Solve for x
A. 10
B. -8
C. 6
D. 3

Answers

Answer:

c (6)

Step-by-step explanation:

by the corresponding angles postulate, the angle above 20x-5 will be 65°.

20x - 5 + 65 = 180 they are supplementary angles (angles that add up to 180°)

20x + 60 = 180

20x = 120

x = 6


If f(x) = 3x + 1, what is one possible value of x for
which 6

Answers

Answer:

1/3

Step-by-step explanation:


The cost of admission to a popular music concert for 4 children and an adult was
$54. The admission for 8 children and 3 adults in another music concert was $122.
How much was the admission for each child and adult?

Answers

Answer:

Child = $ 10.00

Adult = $ 14.00

Step-by-step explanation:

for 1 adult ticket it is $14 and for one child ticket it is $10. hope this helps!

Damaris owns a small business and is hiring a staff of employees. Each full-time employee will be paid a yearly salary of
$32,000. Each part-time employee will be paid a yearly salary of $15,000. Damaris has $245,000 allocated for employees' yearly
salaries. If Damaris hires 5 part-time employees, how many full-time employees can she afford to hire?

Answers

Answer: 5

Step-by-step explanation:

What standard form polynomial expression represents the perimeter of this quadrilateral

Answers

Answer:

5x³ + 6x² + 0x - 8  <== answer

Step-by-step explanation:

There is no picture, but i did that homework before.

I need help with this?

Answers

Answer:

it is 7

Step-by-step explanation:

3y+4x=3 x+3y=-6 solution

Answers

Step-by-step explanation:

https://photomath.net/s/D904j6

here is your answer mate

Which of the following quantities are to the left of zero on a number line? Select three that apply.
A The opposite of 7
B The opposite of -9
С
3
D
-4
m

Answers

Answer:

A, D, and E

Step-by-step explanation:

because they are negative

simplify 4(8x+3y) pls help

Answers

Answer:

32x+12y

Step-by-step explanation:

trust me

Answer:

32x+12y

Step-by-step explanation:

4*8x = 32x

4*3y= 12y

What is the greatest common factor of 42 and 15?

Answers

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

Help.me if u can need it

Answers

the correct answer answer 56

Answer:

78 is the correct answer hope it helps

GCF factoring introduction
Which expression is the result of factoring the expression below by taking out its greatest common factor?
16x^2-8x=?

Answers

right hell yeah you come to me alright (we gon be alright)
it also equals 3032

does 9/20 and 18/30 form a proportion

Answers

Answer:

No, they don't.

Step-by-step explanation:

I'm going to divide 18 by 9 and 30 by 20. If the quotients are the same, then we do have a proportion.

18 ÷ 9 = 2

30 ÷ 20 = 1.5

The quotients aren't the same. Same thing if you convert the fractions to decimals:

9 ÷ 20 = 0.45

18 ÷ 30 = 0.6

This means the two values do NOT form a proportion.

Hope this helps! Have a great day!

Answer:

No.

Step-by-step explanation:

9/20=18/30

9*30=20*18

120=360

If you would like to know how this works please do not hesitate to ask.

2. Four big water bottles can hold 8 gallons of water. How much water can ten big water bottles
hold?

Answers

Answer:

16 1/2 gallons of water.

Step-by-step explanation:

Since 4 bottles can hold 8 gallons, and you need to know how much 10 can hold, you can multiply 4 and 8 times 2 so you get 8 and 16, and then if you choose 10 instead of 8 instead you would get the result of 10 bottles being able to hold 16 1/2 gallons of water.

I hope this helps you :D

Hamburger: $6.00
Fries: $2.00
Tax: 7%
Tip: 20%

Total: ___

Answers

Answer:

$10.27

Step-by-step explanation:

H + F = $8, (7% of 8 is 0.56) [$8.56] + 20% = 10.272 --> $10.27

Write the other side of this equation so that this equation
is true for ALL values of u.
6(u-2)+2 =

Answers

Answer: 6(u-2)+2=6u-10

Step-by-step explanation:

Then, any value of u makes the equation true.

The other side of this equation 6 (u-2) + 2 is 6u - 10 and is true for all values of u.

What is equation?

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

6 (u-2) + 2

Simplify the above expression as shown below,

6 × u - 6 × 2 + 2  (Use distributive property)

6u - 12 + 2    (Add constant terms)

6u - 10

Thus, 6 (u-2) + 2  = 6u - 10

To know more about equation:

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-28xy - ( - 4yz ) - ( - 4yx ) - 2zy =

Answers

Answer:

-24xy+2yz

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Aldo's scores on four tests are 88, 85, 100, and 86. What must the score be on the fifth test for her average to be 90?

Answers

aldo must score a 91 for it to average to a 90

x=5th test score

(88+85+100+86+x)/5=90

(359+x)/5=90

71.8+x/5=90

-71.8              -71.8

x/5=18.2

*5       *5

x=91

the fith test score has to be 91 in order for the average to be 90

If £27 = 500 rubles, how many £ are in 1,144 rubles? Give your answer to 2 dp.

Answers

Answer:

£61.78

Step-by-step explanation:

27/500= 0.054

0.054x 1144 = 61.776

The answer is £61.78

Solve for x: 3(2x + 4) = 2 + 6x + 10

Answers

Answer:

X can be anything.

Step-by-step explanation:

Because both sides of the equation are the same term the solution for

x is the set of of numbers.

50 pts PLZ HURRY AND HELP IM TIMED
How many faces does the solid made from the net below have?
5
6
10
15

Answers

Answer: 10 is your answer

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Just keep looking at the faces.

Hopefully im correct, this is my 1st one :)

Solve for x: 2 + 3x = 10x - 5

Answers

Answer: 1

Step-by-step explanation:

2+3 = 5

10 - 5 = 5

The x’s would be just 1 to make them equal since they don’t need to be multiplied

Hey! The answer is 1. Here’s why: 10(1)-5=5 because 10x1 is 10 minus 5 is 5. And 3x1 is 3 and 3+2=10 they both equal 10. Hope this helped!

find the domain and range of the function represented by the graph.

Answers

Answer:

C

Step-by-step explanation:

The domain of this function is [tex][-4,2][/tex], as it is shown in the graph that [tex]x[/tex] is only within this interval. The range of this function is [tex][-4,4][/tex], as the smallest value of [tex]y[/tex] is -4 and the largest value of [tex]y[/tex] is 4, and [tex]y[/tex] takes every possible values between them.

PLEASE HELLPPPPPPP!!!!!!!!
Find the equivalent for −(3)^-4

Answers

Answer:

C.  - ([tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex])

Step-by-step explanation:

-3 ^-4 = -1/3 ^4

This equal - ([tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex])

Events A and B are such that P(A) = 3 8 , P(B) = 2 7 and P(A ∩ B) = 1 7 Work out P(A|B)

Answers

Answer:

[tex]\frac{17}{27}[/tex]

Step-by-step explanation:

Given: Events A and B are such that [tex]P(A)=38\,,\,P(B)=27[/tex] and P(A∩B) = 17

To find: [tex]P(A|B)[/tex]

Solution:

Probability refers to the chances of occurrence of any event.

An event is described as an outcome of a random experiment.

A random experiment is an experiment for which outcomes cannot be predicted.

[tex]P(A|B)=[/tex] P(A∩B) ÷ P(B) = [tex]\frac{17}{27}[/tex]

Please help me guys I will give the first person who answer a Brilliant

Answers

Answer:

2 3/4+(2 3/4 / 2)=t

Step-by-step explanation:

IM sure this is right

Is 5(3x +4) equivalent to 15x + 20 ?

Answers

Answer:

yes

Step-by-step explanation:

5(3x+4)

5*3=15

5*4=20

15x+20

Yes. You multiply 5 to both sides. 5 x 3x= 15x and 5 x 4 = 20 so yes it would equal 15x+20

OMG I REALLY NEED SOME HELP! THIS IS DUE IN 3 MINUTES!

Answers

Step-by-step explanation:

8) all real numbers.

10)

[tex]y = a {b}^{x} \\ 12 \div 4 = 3 \\ b = 3 \\ a = 4 \\ y = 4 \times {3}^{x} [/tex]

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