1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ira [324]
3 years ago
12

The mean finish time for a yearly amateur auto race was 185.19185.19 minutes with a standard deviation of 0.3410.341 minute. the

winning​ car, driven by rogerroger​, finished in 184.14184.14 minutes. the previous​ year's race had a mean finishing time of 110.4110.4 with a standard deviation of 0.1370.137 minute. the winning car that​ year, driven by sallysally​, finished in 110.05110.05 minutes. find their respective​ z-scores. who had the more convincing​ victory? rogerroger had a finish time with a​ z-score of nothing. sallysally had a finish time with a​ z-score of nothing. ​(round to two decimal places as​ needed.)
Mathematics
2 answers:
gladu [14]3 years ago
8 0
Sorry Fam I  Tried Hope You Get The Answr Your Looking For!
Andrews [41]3 years ago
4 0

Answer:

Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:

X \sim N(185.19,0.341)  

Where \mu=185.19 and \sigma=0.341

The z score is given by this formula:

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

And for a time of 184.14 we have the following z score:

z = \frac{184.14-185.19}{0.341}= -3.08

Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:

Y \sim N(110.4,0.137)  

Where \mu=110.4 and \sigma=0.137

The z score is given by this formula:

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

And for a time of 110.05 we have the following z score:

z = \frac{110.05-110.4}{0.137}=-2.557

As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:

X \sim N(185.19,0.341)  

Where \mu=185.19 and \sigma=0.341

The z score is given by this formula:

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

And for a time of 184.14 we have the following z score:

z = \frac{184.14-185.19}{0.341}= -3.08

Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:

Y \sim N(110.4,0.137)  

Where \mu=110.4 and \sigma=0.137

The z score is given by this formula:

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

And for a time of 110.05 we have the following z score:

z = \frac{110.05-110.4}{0.137}=-2.557

As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.

You might be interested in
PLEASE I NEED HELP ASAP
Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0
1 year ago
19x^3 + (14x + 4x^3) =
Brrunno [24]
19x³ + (14x + 4x³)=
You can assume that there is a 1 in front of the parentheses, so you can distribute the one to each term in the parentheses.
19x³ + 1(14x+4x³)=
19x³ + 14x + 4x³=
Then combine like terms to get 23x³ + 14x.
So 19x³ + 14x + 4x³= 23x³ + 14x
6 0
3 years ago
Read 2 more answers
4x = -36<br> plz helpppp
san4es73 [151]

Hi there! :)

4x=-36

Divide both sides by 4 in order to isolate x:

x=-9

Hope this helps you and have a nice day!

~Just a joyful teen

SilentNature

8 0
2 years ago
Please help me!!! I need help bad and my parents don't know this stuff.....
galben [10]

Answer:

Option A

Step-by-step explanation:

To be considered skew lines, both must not intersect or be parallel.

4 0
3 years ago
Read 2 more answers
Which is the simplified form of p⁰? <br>O p <br>O 1/p <br>O 0 <br>O 1​
tatuchka [14]

Answer:

It is p = 1

Step-by-step explanation:

p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰

6 0
3 years ago
Other questions:
  • Any one please help this is like the last one I posted
    8·2 answers
  • Marylou is blowing up a beach ball. The package says that the ball has a diameter of 18 inches. What is the volume of the beach
    8·2 answers
  • The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 5 feet, the area of th
    8·2 answers
  • Find the roots of the equation below. 7x2 + 3 = 8x
    7·2 answers
  • PLEASE HELP!
    7·2 answers
  • Find the slope of the line through the pair of points.<br> (1,15) and (-3,-6)
    10·1 answer
  • PLEASE HELP!!!! MATH QUESTION!!!!
    14·1 answer
  • Please help! it’s due really soon :/
    8·2 answers
  • Can someone answer ASAP
    14·1 answer
  • Write and equation of the line that passes through the point (2,-6) and is parallel to the line x-2y=8
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!