A test was done to look at the maximum speed of mopeds. They found that the maximum speed had a normal distribution with a mean of 29 mph and standard deviation of 1.4 mph. Consider randomly selecting a moped.
a. What is the probability that the maximum speed is at most 31 mph?
b. What is the probability that the maximum speed is at least 29.8 mph?
c. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?
d. Suppose we select 49 mopeds, what is the probability that the sample mean will be at least 29.5 mph?

Answers

Answer 1

Answer:

C

Step-by-step explanation:


Related Questions

Can the sides of a triangle have lengths 8, 17, and 18?

Answers

Answer:

Step-by-step explanation:

Tak

The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the datafile logo to reference the data.
A. Formulate hypotheses that can be used to determine whether the population mean annual administrator salaries in Ohio differ from the national mean of $90,000.
B. The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?
C. At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?
D. Repeat the preceding hypothesis test using the critical value approach?
Salary Data
77600
76000
90700
97200
90700
101800
78700
81300
84200
97600
77500
75700
89400
84300
78700
84600
87700
103400
83800
101300
94700
69200
95400
61500
68800

Answers

The answer is C okay

Are 20,30, and 16 the sides of a right triangle? Please show workkk

Answers

Yes 20,30, and 16 is the sides of a right triangle

One positive number is 9 more than twice another. If their product is 95, find the numbers.

Answers

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be [tex]x\ and\ y.[/tex]

So:

[tex]x = 9 + 2y[/tex] --- First statement

[tex]x*y = 95[/tex] --- second statement

Required

Find x and y

Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]

[tex](9 + 2y) * y = 95[/tex]

[tex]9y + 2y^2 = 95[/tex]

Rewrite as:

[tex]2y^2 + 9y - 95 = 0[/tex]

Expand

[tex]2y^2 -10y +19y- 95 = 0[/tex]

Factorize

[tex]2y(y -5) +19(y- 5) = 0[/tex]

[tex](2y +19)(y- 5) = 0[/tex]

Solve for y

[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]

[tex]2y = -19[/tex] or [tex]y = 5[/tex]

[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]

Since the numbers are positive, we take only:

[tex]y=5[/tex]

Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]

[tex]x = 9 + 2 * 5[/tex]

[tex]x = 9 + 10[/tex]

[tex]x = 19[/tex]

The numbers are 19 and 5

PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME

Answers

1.5 / 1
A 1has to be the denominator so for example, 100 yards / 1 minute of jogging

A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)

Answers

Answer:

1/4

Step-by-step explanation:

Two Heads = HH,

From four options one of them is HH,

So likely the answer is 1/4,

Hope this helps!

Which of the following expressions had a constant of 6 and a coefficient of 2/3?

Answers

Answer:

The answer is d, 2/3y-6

Step-by-step explanation:


One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.

Answers

Answer:

19 degrees

Step-by-step explanation:

Sum of 2 angles is complementary,

x + 71 = 90

x = 90 - 71

x = 19 degrees

Will it fit in a pot with a height of 20 cm and a bottom radius of 10 cm of 2.5 liters?
Can someone help me pls I need it fast

Answers

Answer:

Step-by-step explanation:

Volume of pot = πr²h

                       = 3.14 * 10 * 10 * 20

                       = 6280 cubic cm

1000 cubic cm = 1 litre

6280 cubic cm = 6.28 litre

∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre

In a park, the ratio of adults to children is 11 to 9. If there are 320 people in the park, how many children are there?

Answers

Answer:

144

Step-by-step explanation:

320 ÷ 20 = 16

adults : children

11 : 9

9×16 = 144

What is the slope of the line below?

Answers

up two over one so the slope is 2
The slope is 2 :) dndjes
Dmfirkdnd

Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5

Answers

Answer:

1/3

Step-by-step explanation:

p=1/6+1/6

=2/6

=1/3

1. Use the formula V = Bh to find the volume of a gift box that is 3.5 inches
high, 7 inches long, and 6 inches wide.

Answers

Answer:

147

Step-by-step explanation:

Length x Width = base

Base x Height = Volume

find the missing side.

Answers

no sides are missing !

What’s the answer to this

Answers

Answer:

D: 39.71 pi m cubed

Step-by-step explanation:

To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.

For this problem, the radius is 1.9 and the height is 11, and this gives you 124.75 which divided by pi, is rounded to 39.71

Please help with math and explain if u do i’ll give brainly!!

Answers

Answer:

3/2

Step-by-step explanation:

MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.

To get the scale factor you have to compare the sides.

Line AD = 6 in.

Line MP = 4 in.

6/4 = 3/2

3.
1- =
How do you subtract 1 - 1/2?

Answers

Answer:

You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!

Step-by-step explanation:

What are m21 and m_2?

Answers

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees

HELP ME OUT PLEASE URGENT

Answers

I think its 10



Correct me if im wrong

But all u have to do is multiply 2.5 x 4=10

Justin is making a poster for Bike Safety Week. The diameter of circle A is 16 in.

If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)

Answers

Step-by-step explanation:

Given Area of Circle B = Area of Circle A

Given r = 1/2d = 1/2(16) = 8 in

and Area of Circle =

[tex]\pi {r}^{2} \\ = (3.14) ({8}^{2} ) \\ = (3.14)(64) \\ = 200.96 {in}^{2} [/tex]

What is the cos(65)?

Answers

= 0.4226182617, or 0.423 if rounded to 3 d.p

A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent​

Answers

Answer:

The percentage in mark up is 503.56%.

Step-by-step explanation:

The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.

In this question:

Cost: 1.49

Change: 8.99 - 1.49 = 7.5

Percentage change:

(7.5*100%)/1.49 = 503.56%.

The percentage in mark up is 503.56%.

Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

5

Step-by-step explanation:

HOPE THIS HELPS YOU!

brainliest?

1/5=20%

25. 100%
X. 20%
X=25•20/100
X=500/100
X=5.
5 are mint ice cream

25-5=20
1/2 of 20 is 10
10 are chocolate

25-(5+10)=25-15=10
10 are vanilla

It says on image below I think

Answers

Answer:C

Step-by-step explanation:

Answer: bro i cant see it can you make it lighter

Step-by-step explanation:

I NEED THE ANSWER(ASAP)

The list below shows the allowance earned by eight of the students in Ms. Tomas's class. What is the mean allowance earned in Ms. Tomas's class?

$7, $12, $8.50, $ 10, $7, $8, $10.50, $11​

Answers

Answer:

9.25

Step-by-step explanation:

For the mean, you have to add all and divide it by the numbers.

7 + 12 + 8.50 + 10 + 7 + 8 + 10.50 + 11 = 74

74 divided by 8 = 9.25

Which is the graph of g(x)? ​

Answers

Answer: A because its always A

Step-by-step explanation:

please help me with this asap

Answers

Answer:

Upper left is 9, upper right is 9, lower left is 21

Step-by-step explanation:

They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.

They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.

They tell us there are 39 birds total.

39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.

Make sense? lmk if you have questions

Please help me (>^ <)

-Solving Equations with variables on both sides

Answers

Answer:

1) x = -1

2) x = 11

3) x = -3

4) x = -14

5) x = -7

6) x = 5

7) x = 12

8) x = -4

Step-by-step explanation:

use the photomath app

2, 1, 1/2, 1/4 which number should come next​

Answers

1/8 should come next

A cube has a surface area of 54cm2. What is the volume of the cube?

Answers

Answer:

27 cm³

Step-by-step explanation:

A = 6 a²

V = a³

V=6A3/2

36=6·543/2

36≈27cm³

Hope this helps! Pls mark brainliest

Other Questions
How do you rationalize the tension being used in Tennis Racket strings using the concept of impulse and momentum? least common denominator for these two rational expressions, 3/y and 1/7y A three-dimensional figure has a volume of 314 cubic centimeters rounded to the nearest cubic centimeter. Select whether each shape below, with dimensions given in centimeters (cm), matches this three-dimensional figure.A sphere with a radius of 4.217 cm (true or false)A sphere with a diameter of 4.217 cm (true or false)A cone with a radius of 10 cm and a height of 3 cm(true or false)A cylinder with a radius of 1 cm and a height of 10 cm(true or false)A cylinder with a radius of 4.47 cm and a height of 5 cm(true or false) Solve the equation x - 20.7 = 9.5 for XShow your work. Select the correct answer. Which statement best defines theme? Giving brainliest!! TO FIRST PERSON 9x8? I dont know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!! Find the value of x 6x+2Help Due in 30 mins! explain how migration from India may have benefited the Indians and people in the countries they settled in around the world. ECONOMICSThe graph shows the price of a good compared to the quantity demanded.A graph titled Demand for Microwave Ovens has quantity demanded on the x-axis, from 0 to 50 in increments of 5, and price in dollars on the y-axis, from 0 to 70 in increments of 10. A line with negative slope contains 2 points. Point (D 1, P 1) is at (15, 50), and point (D 2, P 2) is at (20, 30).This graph demonstrates howthe amount produced slightly changes with the price.the amount produced greatly changes with the price.the quantity demanded changes slightly with the price.the quantity demanded changes greatly with the price. The General Manager is in charge of special events and parties.TrueFalse Solve this equation:945 = 210T SOMEONE PLZ HELP ME WITH THIS QUESTION USING VERB TENSESMartin ________ the extra vegetables from his garden before the first frost of the winter 1. froze2. has frozen3. hsd frozen4. will have frozen Unit TestUnit Test ReviewActive1234568910Answer the following question in 3-4 complete sentences.What equipment is necessary for creating ceramic? Describe each piece and how it is used.What was the Statue of Liberty made of The two lines graphed on the coordinates grid each represent an equation Which prefer pair represents a solution to both equations.?A- (-4,0)B- (-2,1)C- (0,-4)D- (1,-2) Alcohol makes it impossible to?A. be yourselfB. look uncoolC. feel painD. be bored Name the mass movement shown in fig 3 What are the similarities that all the organisms classified under the family Hominidae share? The first government of the United States was established by the ____A. Bill of Rights B. U.S. Constitution C. Articles of Confederation D. Declaration of Independence A town has a population of 15,000 and grows at 7% every year. What will be thepopulation after 10 years, to the nearest whole number?