Matilda recently took a statistics quiz in her math class. in one question, 45 of 900 visitors at a local craft show were surveyed about the cost of admission to the show. Matilda incorrectly stated that the sample in this situation was represented by 900 visitors at the craft show.
a. what is Matilda's error?

b. what is the actual sample?

Answer:

Step-by-step explanation:

Diameter = 84 km

Radius = 84/2 = 42 km

Area of circle = πr²

                      = 3.14 * 42 * 42

                      = 5538.96 km²

Answer:

1/9 is correct

1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.

Answer:

3, each number is being multiplied by a factor of 3

Answer:

2, 70

Step-by-step explanation:

It is given that :

At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.

Therefore this gives the equation :

y = 5x +60 ..........(1)

At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.

So the equation will be :

y = 10x + 50.......(2)

Solving (1) and (2), we get

 5x + 60 = 10x + 50

⇒ 60 - 50 = 10x - 5x

⇒ 10 =  5x

∴ x = 2

Now putting the value of x = 2 in equation (1), we get

y = 5x +60

y = 5(2) +60

y = 70

Therefore, (x, y) = (2, 70)

Answer:

the answer is 10 you round up a nine it keeps going to the end

Answer:25

13

Step-by-step explanation:

Answer:

Group A IQR = $700

Group B IQR = $400

Group A's IQR is Greater Than Group B's IQR, so the salaries in the middle 50% for Group A are More spread out than those for Group B.

Step-by-step explanation:

Subtract the minimum value from the maximum value of each group's big box on the graph to get their IQR's

k would be located at

Answer:B) . 75°

Step-by-step explanation:dfghjkjhgfdfgty

Answer:

its 80

Step-by-step explanation:

i did it on usa test prep

Answer:

-29

Step-by-step explanation:

1+3-1-32

4-1-32

3-32

-29

anything raised to the power of 0 is on

please mark brainiest thank you

Answer:

[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]

Step-by-step explanation:

To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:

[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]

Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]

[tex]P=24\sqrt{x}[/tex]

To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height

The base is: [tex]9\sqrt{x}[/tex]

The height is: [tex]8\sqrt{x}[/tex]

Plug and chug:

[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]

[tex]A=\frac{1}{2} *72x\\A=36x[/tex]

Answer:

a) 0.34 = 35% probability that at least one member of a married couple will vote.

b) 0.7143 = 71.43% probability that a wife will vote

c) 0.0968 = 9.68% probability that a husband will vote

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for itens B and C. For item a, we treat the probabilities as Venn sets.

A) What is the probability that at least one member of a married couple will vote?

I am going to say that:

Event A: Husband votes.

Event B: Wife votes.

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

The probability that the wife will vote on the referendum is 0.28

This means that [tex]P(B) = 0.28[/tex]

The probability that both the husband and the wife will vote is 0.15.

This means that [tex]P(A \cap B) = 0.15[/tex]

At least one votes:

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]

[tex]P(A \cup B) = 0.34[/tex]

0.34 = 35% probability that at least one member of a married couple will vote.

B) What is the probability that a wife will vote, given that her husband will vote?

Here, we use conditional probability:

Event A: Husband votes:

Event B: Wife votes

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

Intersection of events A and B:

Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]

0.7143 = 71.43% probability that a wife will vote.

C) What is the probability that a husband will vote, given that his wife does not vote?

Event A: Wife does not vote.

Event B: Husband votes.

The probability that the wife will vote on the referendum is 0.28

So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]

Probability of husband voting and wife not voting:

0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]

0.0968 = 9.68% probability that a husband will vote

Answer:

7

Step-by-step explanation:

dont trust me i dont know the answer sry

Answer:

ya

Step-by-step explanation:

Answer:

AC = 7.29 in

AB = 11.58 in

Step-by-step explanation:

tan 51 = 9/AC

1.2349 = 9/AC

AC = 7.29 in

sin 51 = 9/AB

0.7771 = 9/AB

AB = 11.58 in

Answer:

the answer is .............a

Step-by-step explanation:

Answer:

X= 82°

Step-by-step explanation:

Since we know ∠DAB is 41°, we also know that ∠CBA is 41°, since they must be equal.  This tells us that the bottom angle of that triangle must be 98°, since the sum of all interior angles must equal 180°.  Since this angle is supplementary to x, we know that x must equal 82°.

Answer:

140 days

Step-by-step explanation:

there are 7 days in 1 week so just multiply 20 by 7 which is 140, to make it easier multiply 2 by 7 which is 14 then add the 0 soo 140.

Hope this helps :)

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

Answer:

Can you put the picture of the triangle up

Step-by-step explanation:

I'll change my answer then

DON'T REPORT ME

Answer:

i need a picture to awnser your question

Step-by-step explanation:

Answer.

The school but would have been driving at about 81 miles per hour.

Fun note.

The bus driver would have gotten a speeding ticket on almost all national highways in America if they were going at that speed.

Answer:

20 hours a day.  

Step-by-step explanation:

( 5 / 6 ) x 24 = 20

Answer:

I think the answer is 2

x=1

Step-by-step explanation:

2x=2x

divide

x=1

plug it in

1×2

Given:

The equation is

[tex]P=-3-4L-6[/tex]

To find:

The formula for L.

Solution:

We have,

[tex]P=-3-4L-6[/tex]

It can be written as

[tex]P=(-3-6)-4L[/tex]

[tex]P=-9-4L[/tex]

We need to isolate variable L.

Adding 6 on both sides, we get

[tex]P+6=-4L[/tex]

Dividing both sides by -4, we get

[tex]\dfrac{P+6}{-4}=L[/tex]

[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]

[tex]-\dfrac{P}{4}-1.5=L[/tex]

Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].

Answer:

if this is regular multiplication the answer is 1,800

Step-by-step explanation:

Answer:

1.243 cm

Step-by-step explanation:

The surface area of a cylinder is the sum of the area of the two congruent circular bases and the rectangular lateral area.

[tex] SA = 2\pi r^2 + 2 \pi rh [/tex]

[tex] SA = 2\pi r(r + h) [/tex]

We are given the surface area and the diameter.

r = d/2 = 7 cm / 2 = 3.5 cm

We can solve for h, the height.

[tex] SA = 2\pi r(r + h) [/tex]

[tex] 2\pi r(r + h) = SA [/tex]

[tex] r + h = \dfrac{SA}{2\pi r} [/tex]

[tex] h = \dfrac{SA}{2\pi r} - r [/tex]

[tex] h = \dfrac{104.3~cm^2}{2(3.14159)(3.5~cm)} - 3.5~cm [/tex]

[tex] h = 1.243~cm [/tex]

Answer:

2/45

Step-by-step explanation:

divide both sides by 2

4/2=2

90/2=45

2/45

Answer:

2x² + 13x + 15

Step-by-step explanation:

| 2x | 3

x | 2x*x = 2x² | 3*x = 3x

5 | 2x*5 = 10x | 3*5 = 15

We have, 2x² + 3x + 10x + 15

Combining like terms, we would have the final expression as:

2x² + 13x + 15