Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a time of 10.9 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.2 seconds. Aaron has a time of 10.6 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams

Answers

Answer 1

Answer:

The answer is "-9".

Step-by-step explanation:

[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]

[tex]P(X <= 10.9)=?[/tex]

The z-value is determined using the central boundary theorem

[tex]z = \frac{(x - \mu)}{\sigma}[/tex]

  [tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]

Calculating the value for Aaron

[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]

When the z-value is calculated using Central Limit Theorem

[tex]z = \frac{(x - \mu)}{\sigma}[/tex]

  [tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]

Answer 2

Answer:

The times are equal when compared to each of their teams.

Step-by-step explanation:


Related Questions

Given that f(x)=x^3, which equation describes the graph of function g?

a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3​

Answers

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

11. Explain how to evaluate the expression 9 +(45 x 2) = 10.

Answers

The Answer Is 18

Order Of Operation laws says that you must do the parentheses first, 45x2.

45x2=90

The next thing you must do is divide 90 by 10 since division is before addition.

90/10=9

Now combine like terms.

9+9=18

Do Pemdas
45x2=90 divided by 10 equals 9+9=18
Answer is 18

Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62

Answers

C. Bc it is the only one that makes sense

Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:
Chewy -- ten minutes
Han Solo -- five minutes
Leia -- two minutes
Luke -- two minutes
How can the four get across the bridge the fastest?

Answers

Answer:

luke and han solo

Step-by-step explanation:

because han solo have the most mins and luke is one of thr 2 mins and that added is 7min

What is the measure of angle AXG

Answers

Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

I need help!!! Please

Answers

Answer:

A

Step-by-step explanation:

The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?

Answers

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

how many solutions does this graph have?

Answers

Answer:

one solution

Step-by-step explanation:

It will cross the x-axis one time

Need help with this problem!!

Answers

Answer:

Area:

4 x 4 = 16

Finding area of semi circle:

4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!

2^2<---your radius being squared = 4

4(radius squared) x 3.14(pi) = 12.56

12.56 divided by 2 since its a semi circle is = 6.28

6.28 + 16 = 22.28 is your area

Perimeter is:

4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12

Circumference:

Radius is 2,

2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56

12.56 divided by 2 = 6.28

6.28 + 12 = 18.28 is your perimeter.

Just a refresh:

Circumference Formula:

2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius

Area of a Circle Formula:

Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)

Another thing you should remember:

Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!

Help pls show work if needed

Answers

Answer: The mode is 12

Step-by-step explanation: It is the most common number in the data set.

can someone help me pls

Answers

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

The complex plane is also known as what?​

Answers

Z-plane could be an answer
the complex plane or z-plane is the plane associated with complex coordinate system, formed or established by the real axis and the perpendicular imaginary axis. ... The complex plane is sometimes known as the Argand plane or Gauss plane. There you go

You come across a box of perfume what should you do Amazon

Answers

take it back to the original owner

Solve the equation x^2 - 16x+ 54 = 0 by completing the square.
Fill in the values of a and b to complete the solutions.

Answers

Answer:

[tex]x = 8\±\sqrt{10[/tex]

[tex]a =8[/tex]    [tex]b = 10[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 16x + 54 = 0[/tex]

Required

Complete the square

[tex]x^2 - 16x + 54 = 0[/tex]

Subtract 54 from both sides

[tex]x^2 - 16x + 54 -54= 0-54[/tex]

[tex]x^2 - 16x = -54[/tex]

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

Take half of - 16

[tex](-16/2) = -8[/tex]

Square the result

[tex](-8)^2 = 64[/tex]

Add the squared result to both sides of the equation

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

So, we have:

[tex]x^2 - 16x +64= -54+64[/tex]

[tex]x^2 - 16x +64= 10[/tex]

Expand

[tex]x^2 - 8x - 8x + 64 = 10[/tex]

Factorize

[tex]x(x - 8) - 8(x - 8) = 10[/tex]

Factor out x - 8

[tex](x - 8)(x - 8) = 10[/tex]

[tex](x - 8)^2 = 10[/tex]

Take square roots

[tex]x - 8 = \±\sqrt{10[/tex]

Solve for x

[tex]x = 8\±\sqrt{10[/tex]

We have:

[tex]x = a - \sqrt{b}[/tex]

[tex]x = a + \sqrt{b}[/tex]

By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]

Answer:

Step-by-step explanation:

URGENT!! PLS HELP 16 students are competing an art contest in how many different ways can students finish first second and third

Answers

In 48 ways I just did 16 times 3

sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers​

Answers

Answer:

Suppose the one number be x

And the other number be 6x

The sum of two numbers is 5

x+6x=5

7x=5

X=5/7

Therefore

One number be 5/7

And other number be 6 * 5/7=30/7

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU...............

The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?

a bar graph
a circle graph
a histogram
a line graph

Answers

Answer:

Question?

Step-by-step explanation:

?

Bar Graph

Since the values belong to different divisions, it’s best to use the bar graph because you can compare them side by side.

Please help me please

Answers

Answer:

Option D

Step-by-step explanation:

→ Simplify the option

3 × 3 × 2 × 2 = 36

→ Simplify the other part

3 × 2 × 2 = 12

Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.

Answers

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

I will give you Brainiest if you are right.

Answers

Students 1 and 4. An expression is something that doesn’t have an equal sign

Answer:

Students 1 & 4

Step-by-step explanation:

An expression has NO equal sign, EQUATIONS have equals.

2 & 3 have equals which makes then equations.

~R3V0

Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2

Answers

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?

Answers

Answer:

249.60

Step-by-step explanation:

300 x .8 (100%-20%)=240

240 x .04 (4% sales tax)=9.60

price = 240+9.60=249.60

HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :)

Answers

The area of a parallelogram has the following formula: A=bh

Plug-in the given numbers.

Base=14cm

Height=13cm

A=bh

A=14 x 13

A=182

Therefore, the area of the figure is 182cm2

Answer:  182 square centimeters

Step-by-step explanation:

The formula for finding the area of a parrallelogram is A = bh.  If the top measurement is 14 cm, then the bottom measurement is also 14 cm.  The height is 13 cm.  

A = (14) (13)

A =  182 cm^2  

A popular internet subscription service for movies, TV series, and documentaries conducts a survey in which it randomly samples 1,000 of its customers. The survey asks the customers which way they use their streaming service the most: (1) watching movies, (2) watching TV series, or (3) watching documentaries. They also ask the level of satisfaction with the service they most often use (on a scale of 0 to 10 with 0 very poor and 10 excellent). Is there statistical evidence for this internet subscription service that the mean satisfaction differs between customers who watch movies, TV series, or documentaries the most?
(a) State the hypothesis for conducting ANOVA. What were the assumptions on which the ANOVA was based?
(b) What F test statistic is needed to reject the null hypothesis at the signficance level 0.05?
(c) Suppose the test statistic is observed at F 0.46 and the p-value equals 0.63. State your conclusion in the context of this problem using the significance level .01.

Answers

b because if a popular internet subscription is 1000 it’s b

Hello :D help pls? Thanks
What is the area of this partial circle if the radius is 8 inches long? Leave your answer in terms of pi.

Answers

Answer:201.06

Step-by-step explanation:

please what is the interquartile range ?

Answers

Answer:

3.

Step-by-step explanation:

15 - 12 = 3.

The ends of the box are the lower and upper quartiles.

The difference  upper - lower = the interquartile range.

If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D. what is the perimeter of
A'B'CD?
A)
30 units
B)
60 units
90 units
D)
120 units

Answers

Answer is A 30 units

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32

12 and 18

32 and 64

40 and 60

14 and 41

Answers

Answer:

i think the answer is 12 and 18


What is the circumference of circle P in terms of pi (3.14)

A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm

Answers

I got B if this is right mark as brainliest :)
Other Questions
Milton's poem about his blindness, beginning "When I consider how my light is spent" is a(n)English sonneto pastoral elegyItalian sonneto short epic how did the Watergate Scandal affect the U.S. Government and the people? (u + 4.5)(1.2) please help Which statement is false?-If the results of administering a medication can be measured, check back with the client to obtain the results. -Ear drops can be administered when the person is lying down.-Eye ointment is applied from the inner aspect of the eye to the outer aspect. -Wait 5 minutes between drops when applying the same drops. In The Farewell Speech, Queen Elizabeths use of first-person point of view What is the median of these numbers :65,56,76,65,52,89,41 1-Autotrophic plants are also called2-The ____ guards the opening and closing of stomata3-_______ is an example of a nitrogen fixing bacterium 4______ plants has the biggest and the heaviest flower 5-a tissue called _____bcarries water and minerals from the root to the root to the leaves of plants If muscles help us breathe, which system helps the respiratory system?digestiveskeletalmuscular Refer to one or more details from the text to explain both the suspected and the true causes of yellow fever. Why was Benjamin Rush suspicious of the suspected cause? I need help ASAP A scatter plot is shown What type of association does the graph show between x and y?A Linear positive association B Nonlinear positive association C Linear negative association D Nonlinear negative association which of these statements about the stars' apparent motion in the night sky are true? choose all that apply ( it could be more than one answer)A. The orbit of stars around the sun causes stars to appear to move in the night sky.B. The orbit of stars around the center of the galaxy causes stars to appear to move in the night sky C. The rotation of earth on its axis causes stars to appear to move in the night sky.D. The orbit of earth around the sun causes stars to appear to move in the night sky.i have 1 hour left estion 6/10Which of the following is NOT a common feature of afinancial institution?Checking and savings accountsAccess to investment adviceDirect depositPaper checks (X+1,8)=(3,2y) please can u send the pic to me I really need it when cam was caught I knew we were all in the same boat. D is going in the 4th quadrant. Please help Which sentence best supports the ideathat fossils help us learn more aboutthe history of the earth?Natural geological processesbring layers of rock to thesurface.Most animals of our past didnot fossilize.witSpeacThe largest dinosaur fossilever found was of aBrachiosaurus.sroamed theposed toslowlyd, the remainsPaleontologists know aboutthe diversity of life that has existed since the beginning of time 8. A boy leaves his house at 9.30 a.m. for hisschool. The school is 2 km away and classes start at10.00 a.m. If he walks at a speed of 3 km/h for thefirst kilometre, at what speed should he walk thesecond kilometre to reach just in time? If you stay at 90 degrees Celsius and a gas in a liquid solution has a pressure of 2 atm, what solubility should it have if it has a solubility of 64 g/L at a pressure of 8 atm? Let theta be and angle in quadrant IV that has reference pi/3. What is sin(theta)? Part C Firefly luciferase is the enzyme that allows fireflies to illuminate their abdomens. Because this light generation is an ATP-requiring reaction, firefly luciferase can be used to test for the presence of ATP. In this way, luciferase can test for the presence of life. The coupled reactions are 1.2.luciferin+O2ATPoxyluciferin+lightAMP+PPiG=31.6 kJ/mol If the overall G of the coupled reaction is -4.80 kJ/mol , what is the equilibrium constant, K, of the first reaction at 6 C ?