Vivian surveyed bicyclists in her community to see the average number of miles they biked per day. Her results are shown below.

7, 10, 13, 4, 12, 21, 10, 3

What is the MAD of her data set? What does this tell you about the number of miles biked each day by the bicyclists?

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =90 \end{cases}\implies \begin{array}{llll} A=\cfrac{(90)\pi (20)^2}{360}\implies A=100\pi \\\\\\ A\approx 314.2 \end{array}[/tex]

Answer:

b

Step-by-step explanation:

if u do the math, everything makes sense.

This series diverges by the limit test (some books may call it the nth term test).

Recall the limit test is the idea if the sequence doesn't converge to 0, then the series diverges.

In this case, the sequence converges to n/(7n) = 1/7 since all we are about are the leading terms when n gets very large.

After some very large n value, we're effectively adding on 1/7 or very close to it, each time. The infinite sum does not approach a fixed value. It keeps growing forever.

Answer:

The probability that both balls in the box are red given that all three occasions a red ball is drawn from the box is [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Let RRR be the event in which red Balls are drawn from the box three times in succession

Let rr be the event that two red balls are placed in a box

Let rw be the event the first red ball was placed and then white ball was placed

Let wr be the event the first white ball was placed and then red ball was placed

Let ww be the event that two white balls are placed in a box

Now we know that :

[tex]P(rr)=P(rw)=P(wr)=P(ww)=\frac{1}{4}[/tex]

Probability of getting red Balls three times in succession given that both are placed red balls in box:

[tex]P(RRR|rr)=1[/tex]

Probability of getting red Balls three times in succession given that one ball is red and another is white in a box

[tex]P(RRR|wr)=P(RRR|rw)=\frac{1}{2^3}=\frac{1}{8}[/tex]

Probability of getting red Balls three times in succession given that both are placed white balls in box:

[tex]P(RRR|ww)=0[/tex]

Now we are supposed to find the probability that both balls in the box are red given that  all three occasions a red ball is drawn from the box i.e. P(rr|RRR)

So, we will use bayes theorem

[tex]P(rr|RRR)=\frac{P(RRR|rr) P(rr)}{P(RRR|rr) P(rr)+P(RRR|rw) P(rw)+P(RRR|wr) P(wr)+P(RRR|ww) P(ww)}\\P(rr|RRR)=\frac{1 \times \frac{1}{4}}{1 \times \frac{1}{4}+\frac{1}{8} \times \frac{1}{4}+\frac{1}{8} \times \frac{1}{4}+0 \times \frac{1}{4}}\\\\P(rr|RRR)=\frac{\frac{1}{4}}{\frac{5}{16}}\\\\P(rr|RRR)=\frac{4}{5}[/tex]

Hence the probability that both balls in the box are red given that all three occasions a red ball is drawn from the box is [tex]\frac{4}{5}[/tex]

Answer:

Slope = -5

Step-by-step explanation:

(x,y) ⇒ (13,11), (14,6), (15,1), (16,-4)

Pick any two points:

(x₁, y₁) and (x₂, y₂) ⇒ (15, 1) and (16, -4)

Use the slope formula:

⇒ y₂ - y₁/x₂ - x₁

⇒ -4 - 1/16 - 15

⇒ -5/1 = -5

Thus, the slope is -5.

Answer:

(f + g)(x) = 4x - 2

Step-by-step explanation:

This problem is asking us to find the value of (f + g)(x).

This means that we will need to add the values of f(x) and g(x) together.

Therefore, the values that are defined for these two functions will simply be conjoined by addition.

Steps

Step 1: Place the value of f(x) in parentheses ⇒ (2x - 3). Then, do the same        for g(x) ⇒ (2x + 1).

Step 2: Combine any like terms. Start with the terms that are not constants (variables with coefficients) and then combine constants.

Step 3: Simplify as much as possible.

Work Shown

[tex]$\tex$ f(x) = 2x - 3, g(x) = 2x + 1\\\\(f + g)(x) \ $\rightarrow$ \ f(x) + g(x)\\\\(2x - 3) + (2x + 1)\\\\\boxed{(4x - 2)}[/tex]

Therefore, (f + g)(x) = 4x - 2.

Hope this helps!

Answer:

half a pound of butter

Step-by-step explanation:

Answer:

1=43

2=16

3=202

4=38

Step-by-step explanation:

HOPE THIS HELPED:)

Answer:

1: 43 times 2 is 86

2: 16 times 2 is 32

3: 202 times 2 is 404

4: 38 times 1 is 38

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The ratio of 20 to 4 can be simplified to 5:1, by switching it around, we get 1/5. 1/5 as a percentage can be expressed as 20%

Answer:

20%

Step-by-step explanation:

Given the following question:

20% of 20

To find the answer we will use the formula to calculate percentages.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times20}{100}[/tex]
[tex]20\times20=400[/tex]
[tex]400\div100=4[/tex]
[tex]=4[/tex]

20% of 20 is 4, which means your answer is "20%."

Hope this helps.

Answer:

1 and 6

Step-by-step explanation:

vertical angles = angles across diagonally which can either be 1 + 6 or 2 + 5, but only 1 + 6 is available

Answer:

90%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

18/20

The number above the bar is the numerator: 18

The number below the bar is the denominator: 20

Divide the numerator by the denominator to get fraction's value:

Val = 18 ÷ 20

758

(if you don't have to use all the blocks)

757

750

708

754 etc

Answer:

What is the probability that you will finish this quiz in 23.84 minutes or less?

0.03593

Write your answer as a percentage with 2 decimals

= 3.59%

Step-by-step explanation:

The z score formula is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 26 minutes

Standard deviation = 1.2 minutes.

The probability that you will finish this quiz in 23.84 minutes or less(≤) is calculated as:

z = (x-μ)/σ

z = 23.84 - 26/1.2

z = -1.8

Probability value from Z-Table:

P(x ≤ 23.84) = 0.03593

Converting to percentage

0.03593 × 100

= 3.593

Approximately to 2 decimal places = 3.59%

Answer:

60/4

Step-by-step explanation:

Hope this helps.

Answer: I am pretty sure that 648 boxes is the answer.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the greatest common factor is 4 (maybe brainliest?)

Answer: 4

Step-by-step explanation:

The factors of 64 are 64, 32, 16, 8, 4, 2, 1

The factors of 28 are 1, 2, 4, 7, 14 and 28

Therefore the GCF is 4

Hope This Helps!

Answer:

Standard addition

509

-106

9-6=3

509

-106

------

3

0-0=0

509

-106

-------

03

5-1=4

509

-106

-------

403

403 is your answer and to check it you can add 403+106=509

Please mark brainly!! Have a great day!

Answer:

8.047 meters hope this helps and google as the converter if you need it

Answer:

8 meters

Step-by-step explanation:

26.4 / 3.3 = 8 meters

Answer:

number = 25

Step-by-step explanation:

❖ First, let's set up the equation.

Solving

Step 1: Subtract 4n from both sides

Step 2: Divide both sides by -3.

Step 3: Check if solution is correct.

Therefore, the number is 25.

Answer:

The first answer is D

the second answer is B

Step-by-step explanation:

The reason why the first answer is D is because in the problem it says at least twice as many seniors is travelling compared to the juniors and D is the only one that shows at least twice than as many juniors and it also it true in the equation 230>2y+x

The reason why the second answer is B is because both of the lines touch at the points (-2,1) which is the same points as B

Answer:

i think its straight line

Answer:

8x + 12x = 180

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

8x + 12x = 180

20x = 180

x = 180/20

x = 9

Please mark me the brainliest!?!

Answer:

2%

Step-by-step explanation:

We can multiply a decimal by 100 to turn it into a percent.

0.02 * 100 = 2%

Answer:

The 5 would be in the Thousands place

Step-by-step explanation:

Hope this helps any

Answer: A

Step-by-step explanation:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Answer:

7

Step-by-step explanation: