Lighter cars are more fuel-efficient than heavier cars. An environmentalist would like to estimate the true mean weight
of all cars. To do so, she selects a random sample of 30 cars and determines the 90% confidence interval for the true
mean weight to be 2.8 to 3.4 tons. Which of these statements is a correct interpretation of the confidence level?
O There is a probability of 0.90 that the confidence
interval (2.8, 3.4) captures the true mean weight of all cars.
O The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons,
O If many random samples of size 30 are selected from the population of all cars, approximately 90% of the sample
means will be between 2.8 and 3.4 tons.
O If many random samples of size 30 are selected from the population of all cars, about 90% of the intervals would
capture the true mean weight of all cars.

Answers

Answer 1

Answer:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

90% confidence interval between 2.8 and 3.4 tons. This means that the environmentalist can be 90% sure that the mean weight of all cars is in this interval, that is:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.


Related Questions

PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!

Answers

The answer is 0 and 1

Answer:

0 and 1

Step-by-step explanation:

The solutions are the points of intersection, meaning that the x values must meet at those points. x=0 and x=1 meet at those points of intersection.

Use the following image to determine the measure of arc GH.

Answers

Answer:

Arc GH = 78°

Step-by-step explanation:

Inscribed angle = m<GIH = 39°

Measure of arc related to inscribed angle = arc GH = ?

Thus:

m<GIH = ½(arc GH) => Inscribed angles theorem

Substitute

39° = ½(arc GH)

Multiply both sides by 2

2*39° = arc GH

78° = arc GH

Arc GH = 78°


PLEASE HELP GEOMETRY!!!!


Solve for x in the diagram shown.

A) 3.2
B) 6.6
C) 8
D) 20

Answers

9514 1404 393

Answer:

  A)  3.2

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means side lengths are proportional:

  short side/hypotenuse = x/8 = 8/20

  x = 8×8/20 = 64/20

  x = 3.2

Which multiplication problem is represented by the model?
Divide. Write your answer in simplest form.

1/5 ÷ 4

Answers

0.8 is the answer I hope this helps if you don’t want it decimal form here’s exact from 4/5

Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.

Answers

9514 1404 393

Answer:

  96

Step-by-step explanation:

In terms of blocks, the box dimensions are ...

  (14 in)/(3.5 in/block) = 4 blocks

  (21 in)/(3.5 in/block) = 6 blocks

Then the volume in terms of blocks is ...

  V = LWH

  V = (4)(4)(6) = 96 . . . . blocks

There are 96 blocks in the set.

which number is 3/8closet to​

Answers

Answer:

616

Step-by-step explanation:

A fraction that is equivalent to 38 is 616

Sketch the area under the standard normal curve over the indicated interval and find the specified area.

a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48

Answers

Answer:

a) The area of the right of z=0 is P(z >0) =0.5.

b) The area of the left of z=0 is P(z < 0) =0.5.

c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.

d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.

Step-by-step explanation:

Here are the graphs respectively.

Please help!!! It wants the x and y coordinates

Answers

Answer:

the y-coordinate will be at (0, 2.4)

the x-coordinate will be at (6, 0)

Step-by-step explanation:

y coordinate of the graph is the point where the curve cuts the y axis

According to the graph, the curve cuts the y axis at y = 2.4. Hence the y-coordinate will be at (0, 2.4)

Similarly, the x-coordinate of the graph is the point where the curve cuts the x-axis

According to the graph, the curve cuts the x-axis at x = 6. Hence the x-coordinate will be at (6, 0)

The missing number in the arithmetic sequence: 20,
36, 44 is:
None of these choices are correct
26
27
28
29

Answers

Answer:

28

Step-by-step explanation:

it is missing where ?

based on the answer options I guess it is missing between 20 and 36.

if that is true, then the answer is 28.

the difference between 36 and 44 is 8.

the difference between 20 and 36 is 16.

the right answer should cut the interval of 16 into 2 parts (first logical approach to cut it in 2 halves of 8) and be related to the next interval between 36 and 44 (8).

the solution covering both considerations is the middle of the large interval = 20 + 8 = 28.

2x2-1/3x2+7/3x2 plzzzzzzzzzzzz fast​

Answers

Answer:

8

Step-by-step explanation:

8 is the correct answer

Answer:

12 2/3

Step-by-step explanation:

The square of T varies directly with the cube of a and inversely with the square of d; T = 4 when a = 2 and d = 3

Answers

Question:

Write a general formula to describe each variation.

The square of T varies directly with the cube of a and inversely with the square of d; T = 4 when a = 2 and d = 3

Answer:

T² =  [tex]\frac{18a^3}{d^2}[/tex]

Step-by-step explanation:

Few things to note:

i. direct variation: When a variable x varies directly with another variable y, we write it in this form;

x ∝ y.

This can then be written as;

x = ky

Where;

k = constant of proportionality variation.

ii. inverse variation: When a variable x varies inversely with another variable y, we write it in this form;

x ∝ [tex]\frac{1}{y}[/tex]

This can then be written as;

x = k([tex]\frac{1}{y}[/tex])

Where;

k = constant of proportionality or variation

iii. combined variation: When a variable x varies directly with variable y and inversely with variable z, we write it in this form;

x ∝ ([tex]\frac{y}{z}[/tex])

This can then be written as;

x = k ([tex]\frac{y}{z}[/tex])

Where;

k = constant of proportionality or variation

From the question;

The square of T varies directly with the cube of a and inversely with the square of d.

Note that

square of T = T²

cube of a = a³

square of d = d²

Therefore, we can write;

T² ∝ [tex]\frac{a^3}{d^2}[/tex]

=> T² =  k ([tex]\frac{a^3}{d^2}[/tex])        -------------------(i)

Since;

T = 4 when a = 2 and d = 3

We can find the constant of proportionality k, by substituting the values of T=4, a = 2 and d = 3 into equation (i) and solve as follows;

(4)² =  k ([tex]\frac{2^3}{3^2}[/tex])

16 =  k ([tex]\frac{8}{9}[/tex])

8k = 16 x 9

8k = 144

k = [tex]\frac{144}{8}[/tex]

k = 18

Now substitute the value of k back into equation (i);

T² =  18 ([tex]\frac{a^3}{d^2}[/tex])

T² =  [tex]\frac{18a^3}{d^2}[/tex]

Therefore, the general formula that describes the variation is;

T² =  [tex]\frac{18a^3}{d^2}[/tex]

The table shows the completion times of four Horses in a race.
Horses
Time (Seconds)
Horse-3
1512
Horse-4
15.4
Horse-2
154
Horse-1
15.8
Which list shows the Horses in order by their completion times from fastest to slowest?
A. Horse-1, Horse-3, Horse-2, Horse-4
B.
Horse-4, Horse-3, Horse-2, Horse-1
C. Horse-4, Horse-2, Horse-3, Horse-1
D. Horse-1, Horse-2, Horse-3, Horse-4

Answers

Answer:

I think the answer is option B

Answer:

I think it is (b

Step-by-step explanation:

Is -5/250 a rational number

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is that=>Yes It is a rational number.

hope this helps,have a great day!!

~Pinky~

Answer:

Yes.

Step-by-step explanation:

A rational number is any number that can be written as a fraction. These include whole numbers, fractions, decimals that end, and decimals that repeat. Positive and negative do not affect rationality.

a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train​

Answers

Answer:

Step-by-step explanation:

the pidgeon is flying east

Which fraction is represented by point A on the number line?
0
А
-0 -1
о
IT
os
O 1

Answers

The answer is the third choice: -1/4.
Here’s why: if you count from 0 to 1 or -1, it’s 4 steps. That means the fraction would have a denominator of 4, if there were 5 parts, then the denominator would be 5...and so on. The numerator is 1 because 0 to the point is 1 step. But now why negative? Because everything to the left of 0 on the number line will be negative, everything right of 0 on the number line will be positive.
Hope this also helped you to understand for future problems like this.

Find the surface area of the regular pyramid.

Answers

Answer:

D

Step-by-step explanation:

It helps to break the pyramid into shapes

triangles:  ((b x h) ÷ 2) x 5

((4 x 8) ÷ 2) x 5= 80in

base: 27.5in

total sa: 27.5 + 80 = 107.5in

triangle ABC has angle measures as shown.
A) what is the value of x? show your work.
B) what is the measure of angle C? show your work.

Answers

Answer:

   12°

Step-by-step explanation:

Sum of interior angles of the triangle is 180°:

   m∠A + m∠B + m∠C = 180°

   3x + 28° + 5x + 52° + 2x - 10° = 180°

   10x + 70° = 180°

   10x = 110°

   x = 11°

Find the measure of angle C:

   m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°

Answer:

Step-by-step explanation:

(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°

10x + 70 = 180

x = 11

m∠C = [ 2(11) - 10 ]° = 12°  

What is the answer? ​

Answers

The answer is t= 5 units

cho p(A)=0,5 ; p(B) = 0,3 ;p(A∩B)=0,2. Tính p(B∪A) ?

Answers

Answer:

.6

Step-by-step explanation:

BUA= A+B-A∩B

.5+.3-.2= .6

The should be answer is .6

What is the distance of -55 from zero?

Answers

Answer:

55

Step-by-step explanation:

The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.

Solve the problem 35×2/7=

Answers

35 × 2/7 =

2 × 35 / 7 =

2 × 5 × 7 / 7 =

Simplify 7

2 × 5 =

10

Marking brainliest(for correct answers)


Factor completley:
9(x-1)-(x-1)^2

Answers

- (x-1) (x-10)
hope this helps

Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour

Answers

Answer:  answer is A

A:3/32

B:2/3

C: 1 1/2

D:4

In November, the rain in a certain valley tends to fall in storms of several days duration. The unconditional probability of rain on any day of the month is 0.600. But the probability of rain on a day that follows a rainy day is 0.900, and the probability of rain on a day following a nonrainy day is 0.300. Find the probability of rain on November 1 and 2. but not on November 3. Find the probability of rain on November 1 and 2, but not on November 3.​

Answers

Answer:

0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.​

Step-by-step explanation:

Rain on November 1:

0.9 of 0.6(rain on Oct 31).

0.3 of 0.4(not rain on Oct 31).

Rain on November 2:

Considering rain on November 1, 0.9 probability of rain.

Rain on November 3:

Considering rain on November 2, 0.1 probability of rain.

Find the probability of rain on November 1 and 2, but not on November 3.​

Multiplicating the probabilities:

[tex]p = (0.9*0.6+0.3*0.4)*0.9*0.1 = 0.0594[/tex]

0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.​

Determine the value of x

Answers

Answer:

B is the answer.

Step-by-step explanation:

Jessica earned $16 mowing a neighbor’s yard. She bought a craft kit for $7.37.
She used $3.75 to buy food for a food drive. She put the rest in her savings account.
How much money did Jessica put in her savings account?

Answers

4.88 i believe is the answer

Answer:

Jessica put $4.88 into her savings account.

Step-by-step explanation:

First, you'll add up how kuch she has spent.

7.37 + 3.75 = 11.12

Secondly, you'll subtract 11.12 from 16.

16 - 11.12 = 4.88

Suppose that there is a positive correlation between the variables k and I. If I
is 75 when k is 7, which of these is most likely to be the value of I when k is
14.
O A. 75
O B. 25
C. 50
D. 150

Answers

Answer:

150

Step-by-step explanation:

if there is a positive correlation

when k increases l should also increase

only 150 is an increase in l

Five cards are drawn randomly from a standard deck of 52 cards.
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal
places
Answer:

Answers

Answer:  0.00174

=========================================================

Explanation:

There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.

Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.

We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.

This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.

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

To recap, there are

4512 ways to pick exactly three aces2,598,960 ways to pick five cards without any restrictions

Dividing the two values gets us the final answer

4512/(2,598,960) = 0.001736079047

This value rounds to 0.00174

The probability that exactly 3 of these cards are Aces is 0.004%.

Given that five cards are drawn randomly from a standard deck of 52 cards, to determine the probability that exactly 3 of these cards are Aces the following calculation must be performed:

Each particular probability must be multiplied by each other, and its result by one hundred, to obtain the probability percentage.  (3/52 x 2/51 x 1/50) x 100 = X 0.004 = X

Therefore, the probability that exactly 3 of these cards are Aces is 0.004%.

Learn more in https://brainly.com/question/821892

Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?

Answers

Angle DCE cause they are vertical angles

If the dimensions of a room is 20m long, 8m wide
and 5m high. Find the volume of air contained on room.​

Answers

Answer:

The volume of air contained on room is 800m^2

Step-by-step explanation:

20x8x5=800m^2

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