The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 20, 16, 21, 16, 22, 16, 15

Answer:

b - 1/4 = 3 1/2

Step-by-step explanation:

b - 1/4 = 3 1/2

b - 1/4 = (3 + 1/2)

4b = 15

b = 15/

4

= 3.75

Answer:

160

Step-by-step explanation:

4/5 = 80%

x= 128 × 80/100

Answer:

15

Step-by-step explanation:

The minimum number of balls one needs to pick out of the bag in order to definitely get three same-colored balls is 15.

We have a bag that contains balls of same size coloured in seven different colors of rainbow.

We need to find the minimum number of balls one needs to pick out of the bag in order to definitely get three same-colored balls.

The seven colors of rainbow are Red, orange, yellow, green, blue, indigo, violet.

In order get the same three colored balls -

After first two steps, we will could probably at least have two balls of same color.

    3. In order to find the minimum number of balls - One ball should be taken out of the bag, which could probably be the colour of which two balls we have might have probably acquired after following the steps 1 and 2.

Total number of balls = 7 + 7+ 1 =15

Hence, the minimum number of balls one needs to pick out of the bag in order to definitely get three same-colored balls is 15.

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Answer:

C

Step-by-step explanation:

Mario first rode at one constant speed and then at a faster constant speed.

The probability of selecting two socks of same color is 0.96.

According to the given question.

Total number of green socks = 4

Total number of yellow socks = 6

So, the total number of socks in a drawer = 4 + 6 = 10

Since as we know that, the probability of an event is computed as: P(E) = Number of favourable outcome /Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.

So, the probability of selecting a green scoks = 4/10 = 2/5

And the probability of selecting a yellow socks = 6/10 = 3/5

Therefore, the probability of selecting two socks of same color

= probability of selecting both the green socks or probability of selecting both the yellow socks

= [( 2/5) + (2/5)] × [(3/5)+(3/5)]

= (4/5) × (6/5)

= 24/25

= 0.96

Hence, the probability of selecting two socks of same color is 0.96.

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Answer:

she has 130 crayons 100 crayons divided by 2 = 50 crayons each divide 30 by 2 =15

then she has the four crayons left divide those by 2

Answer:

It’s A hope this is right good luck

The expressions that are equivalent to 5% of 60 are  5/100 * 60, 0.05 * 60 and 1/20 * 60

The expression is given as:

5% of 60

Express as fraction and decimal

5% of 60 = 5/100 * 60

5% of 60 = 0.05 * 60

This gives

5% of 60 = 1/20 * 60

Hence, the expressions that are equivalent to 5% of 60 are  5/100 * 60, 0.05 * 60 and 1/20 * 60

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If a red ball is drawn from two urns containing colored balls , then the probability that it came from the first urn is  0.625 or 62.5%   .

Let A = the event that the first urn is chosen, and

B is = the event that a red ball is drawn.

We have to find P(A|B), which means , the probability that the first urn was chosen given that a red ball was drawn.

So , By Bayes' theorem:

we have , P(A|B) = P(B|A) × P(A) / P(B)  ;

Since each urn has an equal probability of being chosen, we have P(A) = P(B) = 1/2 ; and

the probability of drawing a red ball is the same regardless of which urn was chosen.

We need to find P(B|A), the probability of drawing a red ball from the first urn is 50/100 = 0.5   ;

To find P(B), the overall probability of drawing a red ball, we can use the law of total probability:

that is ; P(B) = P(B|A) × P(A) + P(B|A') × P(A')  ;

where A' = event that the second urn was chosen.

Now , we find P(B|A'), which is the probability of drawing a red ball from the second urn is = 30/100 = 0.3    ;

We know that P(A') = 1/2 = 0.5 , because there are only 2 urns.

So , we have : P(A|B) = P(B|A)×P(A) / P(B)  ;

= (0.5×0.5) / (0.5×0.5 + 0.3×0.5)

= 5/8

= 0.625

Therefore, the probability that the red ball came from the first urn is 0.625 or 62.5%   .

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Answer:

no se

Step-by-step explanation:

no se

Answer:

The slope of the line = m = 4/3

Step-by-step explanation:

Given

To determine:

Find the slope of the line that passes through (2, 2) and (5, 6).

Finding the slope between (2, 2) and (5, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 2] / [5 - 2]

               = 4 / 3  

Thus, the slope of the line = m = 4/3

Answer:

C

Step-by-step explanation:

2 x pi x r = circumfrence

2 x 7 x pi = 43.96

Answer: 43.96 m

Step-by-step explanation: To find the circumference of the circle shown here, start with the formula for the circumference of a circle which is shown below.

Circumference = 2πr

Notice that the radius of the circle is 7 meters.

So we can plug in 7 meters for r in the formula.

So we have (2)(π)(7m) which is equal to 14π m.

So the circumference of the circle shown here is 14π m.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (14)(3.14) which is equal to 43.96.

So the circumference of the circle is

approximately equal to 43.96 m.

The amount in the account two years from now will be $17,548.09. The correct option is D.

Calculate the amount in the account two years from now, we need to consider the compounding of interest over the two-year period.

Calculate the amount after one year. The initial deposit of $5,000 will accumulate interest compounded every 6 months at a nominal rate of 12%.

Since the compounding period is every 6 months, there will be a total of 4 compounding periods over the course of one year.

Using the formula for compound interest, the amount after one year will be:

A1 = P(1 + r/n)^(nt)\(P(1 + r/n)^{(nt)\)

P = Principal amount (initial deposit) = $5,000

r = Nominal interest rate = 12% = 0.12

n = Number of compounding periods per year = 2 (compounded every 6 months)

t = Time in years = 1

A1 = 5000\((1 + 0.12/2)^{(2*1)\) = $5,000\((1 + 0.06)^2\) = $5,000\((1.06)^2\) ≈ $5,638.00

After one year, the amount in the account will be approximately $5,638.00.

Next, we add $10,000 to the account, resulting in a total balance of $5,638.00 + $10,000 = $15,638.00.

Finally, we calculate the amount after the second year by compounding the interest on the new balance. Again, there will be 4 compounding periods over the two-year period.

A2 = \(P(1 + r/n)^{(nt)\)

P = Principal amount (new balance after one year) = $15,638.00

r = Nominal interest rate = 12% = 0.12

n = Number of compounding periods per year = 2 (compounded every 6 months)

t = Time in years = 1

A2 = 15638\((1 + 0.12/2)^{(2*1)} = 15638(1 + 0.06)^2 = 15638(1.06)^2\) ≈ $17,548.09

Therefore, the amount in the account two years from now will be $17,548.09.

The closest answer choice to this amount is D. 17,548.

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Answer:

28

Step-by-step explanation:

So 1% of 350 would be 3.5 because 350 divided by 100 is 3.5. You then get 3.5 and multiply it 8 times, which would be 28. (You multiply it 8 times because 8% is 8 times 1%.) I hope this helps:)

There are 50,000 odd five-digit counting numbers that can be formed by choosing digits from the set with repetition allowed.

To determine the number of odd five-digit counting numbers that can be formed by choosing digits from a set (with repetition allowed), we need to consider the restrictions and possibilities for each digit position.

1. The leftmost digit:

2. The remaining four digits:

To find the total number of odd five-digit counting numbers, we multiply the possibilities for each digit position:

Total number = (5 options for the leftmost digit) \(\times\) (10 options for each of the remaining four digits)

Total number = \(5 \times 10^4 = 50,000\)

Therefore, there are 50,000 odd five-digit counting numbers that can be formed by choosing digits from the set when repetition is allowed.

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The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Answer: x=6 y=2

Step-by-step explanation:

The angle measure of m∠CAF = 23°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The angle measures,

m∠EBG = 23°

m∠CAE = 52°

From  the figure,

m∠EBG = m∠FAE = 23°

So, from the figure,

m∠CAE = m∠CAF + m∠FAE

Substituting the angle measures,

52 =  m∠CAF + 23

m∠CAF = 52 - 23

 m∠CAF = 22°

Therefore, 23° is the angle measure of  m∠CAF.

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Answer:

7 9/10 pounds

Step-by-step explanation:

Answer:

7 9/10 would be the best answer

Answer:

25 + 2x= 325 x=150

Step-by-step explanation:

-25 -25

2x 300

/2 /2

×= 150

The expected value of the policy to the insurance company is $239,649.68, representing the average earnings from selling the policy to 22-year-old female policyholders, accounting for survival probability and premium.

To compute the expected value of the policy to the insurance company, we multiply the payout amount by the probability of the insured surviving and subtract the premium paid.

Given:

Payout amount (policy value) = $240,000

Premium paid = $250

Probability of survival = 0.999582

Expected value = (Payout amount * Probability of survival) - Premium paid

Expected value = ($240,000 * 0.999582) - $250

Calculating this, we get:

Expected value = $239,899.68 - $250

Expected value = $239,649.68

Interpretation:

The expected value of this policy to the insurance company is $239,649.68.

This means that, on average, the insurance company can expect to earn $239,649.68 from selling this policy to a large number of 22-year-old female policyholders. This value takes into account the probability of the insured surviving and the premium paid by the policyholder.

The expected value represents the long-term average outcome for the insurance company. It suggests that, for every policy sold, the company can expect to earn approximately $239,649.68 after accounting for the probability of survival and the premium collected.

However, it's important to note that the expected value is an average and does not guarantee the actual outcome for any specific policyholder. Some policyholders may not survive the year, resulting in a higher payout for the insurance company, while others may survive, resulting in a profit for the company.

The expected value provides a useful measure of the overall profitability of selling such policies.

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Answer:

X = -4Y/9 + 32/3

Step-by-step explanation:

you can solve for X by simplifying both sides of the equation then isolating the variable

The value of the given equation y = -9/4(x - 8) + 6 for the x will be x = -(4/9)y + 96/9

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the equation,

y = -9/4(x - 8) + 6

By taking LCM in right-hand side

y = [-9(x - 8) + 24]/4

Cross multiply

4y = -9(x - 8) + 24

Interchange

9(x - 8) = 24 - 4y

9x - 72 = 24 - 4y

x = (4/9)y + 96/9

Hence "The value of the given equation y = -9/4(x - 8) + 6 for the x will be x = -(4/9)y + 96/9".

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Based on the information in the graph, it can be inferred that the sport with the most players and followers is cricket.

To make a bar graph with the information in the table, we must take into account the categories (watch and participate), the different sports and the data that correspond to each category and each sport.

Once we understand this data, we need to set the parameters of the graph. On one axis we put the reference of the different values and on the other axis we put the different sports. Additionally, we must take into account that we must make two bars for each sport and that they represent the individuals who participate and the individuals who watch.

According to the above, the graph would look like this:

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The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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a. μ is approximately 0.2679 when p = 20 pounds and θ = 15°.

b. θ is approximately 68.65° when p = 35 grams and μ = 2.6.

To find the coefficient of static friction μ in each scenario, we can rearrange the given equation and solve for μ.

a. Given p = 20 pounds and θ = 15°, we have:

p sin θ = μp cos θ

Substituting the given values, we get:

20 pounds * sin(15°) = μ * 20 pounds * cos(15°)

Simplifying the equation:

sin(15°) = μ * cos(15°)

Now we can solve for μ:

μ = sin(15°) / cos(15°)

Using a calculator, we find:

μ ≈ 0.2679

Therefore, μ is approximately 0.2679 when p = 20 pounds and θ = 15°.

b. Given p = 35 grams and μ = 2.6, we have:

p sin θ = μp cos θ

Substituting the given values, we get:

35 grams * sin(θ) = 2.6 * 35 grams * cos(θ)

Canceling out the units of grams, we have:

sin(θ) = 2.6 * cos(θ)

Dividing both sides by cos(θ), we get:

tan(θ) = 2.6

Using the inverse tangent function, we can find θ:

θ = tan⁽⁻¹⁾(2.6)

Using a calculator, we find:

θ ≈ 68.65°

Therefore, θ is approximately 68.65° when p = 35 grams and μ = 2.6.

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An angle is the two rays sharing a common endpoint.

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Answer:

A. 600 \(\leq\) 350+140+x

Step-by-step explanation:

The elevator can only carry 600 pounds or less.

Answer A is the only answer choice with the less than or equal to symbol that is next to 600lbs.

Hope this helps!

:)