Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning​ car, driven by Sam​, finished in 185.29 minutes. The previous​ year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that​ year, driven by Rita​, finished in 110.02 minutes. Find their respective​ z-scores. Who had the more convincing​ victory?

Answers

Answer 1

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value


Related Questions

At 7:00 a.m. the temperature was -4°F.At 9:00 a.m. it was 8 degrees warmer .what was the temperature at 9:00 a.m.

Answers

Answer:

The temperature was +4°F.

Step-by-step explanation:

The temperature got warmer by 8°F (or two sets of 4°F).

-4°F warming up to 0°F is the first set of 4°F. The second set of 4°F takes it from 0°F to +4°F.

Use the line tool to graph the equation on the coordinate plane.
y = 3/4x

Answers

Step-by-step explanation:

in the equation y=mx+b, m corresponds to the slope, and b corresponds to the y-intercept. Since b is 0 at this case, we will start at (0,0). From here you can graph the line with the slope. Since it is 3/4, you would move up 3 units, and to the right 4 units to end up with the point (4,3). Now you have the two points (0,0) and (4,3), so all you need to do is connect them to form the line.

19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =


Use PEMDAS for this.

Also it's a made up question

Answers

PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, subtract the numbers in the parentheses, then multiply by 11.

(12 - 9) = (3)

3 x 11 = 33

19 + 11 - 12^2 ÷ 3(33) - 7

Now, just multiply 33 by 3, and then square 12 (12 x 12).

19 + 11 - 144 ÷ 99 - 7

Now, you can divide 144 by 99, this is an infinite number, so..

144 ÷ 99 = 1.455

19 + 11 - 1.455 - 7

Finally add, then subtract.

30 - 1.455 - 7

28.545 - 7

The final answer is 21.545.

What is cos 30°?
O A
B. 1
OC
-IS
OD
O
E.
O EV3

Answers

Answer:

cos (30 deg) = sqrt (3) /2

Step-by-step explanation:

Find the value of x. Round to the nearest degree.
15
12

Answers

Answer:

153 degrees

Step-by-step explanation:

15+12=27

180-27=153

Radha is trying to choose between two bike rental companies, Company A and Company B.

Company A charges a $25 initial fee and an additional $5 for each hour rented. Company B charges an initial $18 fee and an additional $6 for each hour rented.

The total cost to rent a bike from Company A can be represented by the equation y = 5h + 25, where h represents the number of hours rented and y represents the cost, in dollars.

The total cost to rent a bike from Company B can be represented by the equation y = 6h + 18.

For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?

Part A:The number of hours when the rental amount charged will be the same is

Part B:The cost of renting the bike for this many hours is

Answers

Answer:

Part A. After 7 hours the amount charged will be the same

Part B. The cost of renting the bike for that many hours (7) will be 60$.

Step-by-step explanation:

5h + 25 = 6h + 18

5h - 6h = 18 - 25

-h = -7

h = -7/-1

h = 7

Company A.

y = 5h + 25

y = (5*7) + 25

y = 35 + 25

y = 60

Company B.

y = 6h + 18

y = (6*7) + 18

y = 42 + 18

y = 60

Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).

Answers

Answer:

12

Step-by-step explanation:

12 your welcomeeeeee

which one is the bigest and which one is the lowest
5 7/8
6
5.5
5 3/4

Answers

Answer:

Greatest to Least order: 6, 5 7/8, 5 3/4, 5.5

Step-by-step explanation:

First it's 6, then it's 5 7/8 because 5 7/8 = 5.875, then 5 3/4 because 5 3/4 = 5.75, and then 5.5 which is the lowest number.

4. In a normal distribution with u=150, o = 12.5 find P(x < 145).

Answers

Answer:

i know it hard but i know u get there

Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).

8/5-c - 8/5+c

Find the difference in simplest form.

Answers

Answer:

16c

Step-by-step explanation:

The simplest form is: [tex]\frac{16c}{25-c^2}[/tex].

Total distance = 16 miles.

So each distance = 16/2=8 miles.

Given: He can paddle the kayak at an average rate of 5 miles/hour.

And the speed of the current is = c

So the speed while going up = (5-c)

The speed while going down=(5+c).

So the time while going up = [tex]\frac{8}{5-c}[/tex]

The time while going down=[tex]\frac{8}{5+c}[/tex].

So the difference is:

[tex]\frac{8}{5-c}-\frac{8}{5+c}\\=\frac{8(5+c)}{(5-c)(5+c)}- \frac{8(5-c)}{(5-c)(5+c)}\\=\frac{8(5+c)-8(5-c)}{(5-c)(5+c)}\\=\frac{40+8c-40+8c}{(5-c)(5+c)}\\=\frac{16c}{(5-c)(5+c)}\\=\frac{16c}{25-c^2}[/tex]

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Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?

Answers

Answer:

12.5%

Step-by-step explanation:

400 divided by 3200= .125

.125 x 100= 12.5

12.5%

Write an inequality that represents the verbal expression. 9 less than a number n is less than 17

Answers

Answer:

9<n<17.

Step-by-step explanation:

multiply .035 times a power of ten so that the product is greater than 1 but less than 100​

Answers

Answer:

0.035 x 10^3

Step-by-step explanation:

yes

Solve for x.
(17x –23)
°
(8x –4)
°
(3x + 17)°

Answers

Answer:

=28x −10

Step-by-step explanation:

28x

The value of x will be;

⇒ x = 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 17x - 23 = (8x - 4) + (3x + 17)

Now,

Solve the expression as;

The expression is,

⇒ 17x - 23 = (8x - 4) + (3x + 17)

⇒ 17x - 23 = 8x - 4 + 3x + 17

⇒ 17x - 23 = 11x + 13

⇒ 17x - 11x = 23 + 13

⇒ 6x = 36

⇒ x = 6

Thus, The value of x will be;

⇒ x = 6

Learn more about the mathematical expression visit:

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#SPJ2

what is the percent of decrease from 4 to 1

Answers

Answer:

75%

Step-by-step explanation:

It went down by 3 so,

4-1=3

4 * 75% or 0.75=3

At time T equals zero, water begins to drip out of the pipe into an empty bucket. After 42 minutes, there are 6 inches of water in the bucket. Right Ellen air function rule to model how many inches of water W are in the bucket after any number of minutes T.

Answers

the values of 'm' and 'b' are 0.5 and 0 respectively.

Step-by-step explanation:

There are three customer service operators manning a helpline: Alex, Bobby, Charlie. Charlie is relatively new and takes one third as many calls as Bobby. Alex handles 6 times as many calls as Charlie.

What proportion of calls does Bobby handle?

Answers

Answer:

Bobby answers 30% of all phone calls.

Step-by-step explanation:

To determine the proportion of calls that Bobby answers in the call center, knowing that Charlie handles one third as many calls as him, and that Alex handles six times as many calls as Charlie, the following equivalence must be made:

A = 6 C (1/3B x 6 = 2B)

B = B

C = 1/3 B

2B + B + 1/3 B = 100

3 1/3 B = 100

3.33 B = 100

B = 100 / 3.33

B = 30

Therefore, Bobby answers 30% of calls, Alex answers 60% and Charlie 10%.

Fasssssssst neeeeeed answer

Answers

Answer:

20%

Step-by-step explanation:

14/70=0.2

0.2=20%

Answer:

I believe it is 20 %

Write an integer for:
13° below zero

Answers

The answer would be -13

Find (x + 3) (x^2 – 2x – 8).

Answers

Answer:

(x−4)(x+2)(x+3

i think

Answer:

x^3 +x^2 -14x -24

Step-by-step explanation:

Use distributive property:

x(x^2)+x(-2x)+x(-8)+3(x^2)+3(-2x)+3(-8)

x^3 -2x^2 -8x +3x^2 -6x -24

x^3 +x^2 -14x -24

Find the average rate of change for the given function
from x = -1 to x = 5. (4 points)


NEED EXPLAINING THX

Answers

Answer:

- 1

Step-by-step explanation:

All you need to do is find the slope. How you do that is y2-y1/x2-x1

Yours would look like this:

[tex]\frac{1-7}{5-(-1)}=\frac{-6}{6}[/tex]

Then you simplify to get -1

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would be less than 3245 miles

Answers

Answer:

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) = 0.975

Step-by-step explanation:

Step(i):-

The mean number of miles between services

                   μ= 3408 miles  

The Variance of miles between services

                σ² = 249,001

                σ = √249,001 = 499

Let 'X' be a random variable in a normal distribution

Given sample size 'n' =36

Step(ii):-

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

          Z = -163/83.16 = 1.96

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245)  =   P(Z≤1.96)

                   =   0.5 + A(1.96)

                   =  0.5 + 0.4750

                  =   0.975

Final answer:-

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) =0.975

           

         

         

Rajiv paid using a 10 bill how much will she receive

Answers

Answer:

She will receive the change

Step-by-step explanation:

there no context to this question

Answer:

shes gonna receive her change

Step-by-step explanation:

;-; there is no instruction to your question

A painter can paint 180 square feet per hour. He charges $0.35 per square foot. Today he paints for 3.5 hours. How much will he charge?

Answers

Answer:

i think it's 1800

Step-by-step explanation:

if it's wrong i'm so sorry :)

The price charged for 630 square feet is $220.5

If a painter can paint 180 square feet per hour, the amount he will paint in 3.5 hours will be 3.5 * 180 = 630 square feet

If the painter charges $0.35 per square foot, the price for 630 square feet will be expressed as 0.35 * 630 = $220.5

Hence the price charge for 630 square feet is $220.5

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When the correlation between x and y is zero, what is the best prediction of a y score that can be made from a given x score?

Answers

Answer:

The mean of y

Step-by-step explanation:

In statistics, correlation is the degree of the linear relationship between two variables. The correlation coefficient is the numerical measure of the linear relationship of two variables, It is measured in the range -1 to 1. When the coefficient is negative, the variables are said to have a negative correlation, while it is a positive correlation or have a strong linear relationship if the correlation coefficient is positive.

When the correlation coefficient is zero, both variables have no linear relationship and the best predictions of each variable would be the mean.

Please help me solve this question will give you braisnlt !

Answers

Answer:

C

Step-by-step explanation:

In slope intercept form y=mx+b

m is your rate of change/ slope

since the slope is +5

This means that your rate of change, in this case elevation, is 5 feet per minute.

As for b which is your y intercept, the -30 can be represented by the point (0,-30) on a graph it would be -30ft below the x axis. Meaning that if the diver lets say is the point he is 30 feet below sea level and acsending at a rate of 5 feet per minute.

Find f(-2) for f(x) = 3 • 2x

Answers

Answer:

A

Step-by-step explanation:

2^-2 is -4 I believe and then multiplied by three would be -12

8z - 13 = 5z + 8 The Zs are variables ​

Answers

43 is the answer for the whole equation

A plumber charges $80 for a house call and $25 per hour for his services. Which of the following is a linear model of his charges.

Answers

Answer:bals

Step-by-step explanation:25(number of hours worked) +80$ for initial charge

Answer:

25x+80

The number of hours is x for services

Add. Express each sum in simplest form : 5/9+1/2

Answers

Answer:

19 /18  or 1 1/18

Step-by-step explanation:

first you need to make the denominators the same

10/18+9/18

then add the numerations together to get

19/18 or 1 1/18

I hoped this helped :)

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