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2 years ago

Every 3 months the arena’s musical equipment needs safety checking. Look at a comparison of the last 4 years’ service costs.

Mathematics

2 answers:

blondinia [14]2 years ago

5 0

Answer:

Year 4; Year 3

Step-by-step explanation:

To find the year that service was the cheapest, we look for the year with the smallest mean.

The mean is the average of a data set; it is found by adding together all data points and dividing by the number of data points.

A small mean means we have added together small values before we divided. This means the service costs were small.

The year with the smallest mean was year 4.

To find the year that service prices were the most consistent, we look for the year with the smallest range.

The range is the difference between the highest and lowest values. If a particular variable is consistent, this means this difference is small. This means the year with the smallest range will be the most consistent year.

The year with the smallest range is year 3.

shtirl [24]2 years ago

3 0

The cheapest service would be the year in which the mean was the lowest. In Year 4, the mean was the lowest.

The most consistent service would be the year in which the range was the lowest. In Year 3, the range was the lowest.

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Juan walks a circular path with a radius of 280 yards at the local park. How far does she walk? Use 3.14 for pi.

belka [17]

Answer: Juan walks 246,176 yards around the circular path.

To find the distance around the circular path, we are looking for the circumference. The formula for the circumference is: C = pi(r^2).

Simply plug in the radius and evaluate the expression.

C = 3.14(280^2)
C = 3.14(78400)
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2 years ago

a deli sells sliced meat and cheese. one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. a san

Nesterboy [21]

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The variable x represents the cost per pound of meat.

The variable y represents the cost per pound of cheese.

The deli charges $4.50 for a pound of meat.

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Without using technology, describe the end behavior of f(x) = −3x4 + 7x2 − 12x + 13.

rodikova [14]

Answer:

11 over 13

Step-by-step explanation:

first, you deal with multiplication;

x = -12 + 14 - 12x + 13

second, deal with addition;

x = -2 - 12x + 13

third, take -12 to the other side then the negative changes to positive;

12x + x = -2 + 13

fourth, add them then simplify;

13x = 11

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2 years ago

On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of

Nuetrik [128]

Answer:

$P=0.1833$

Step-by-step explanation:

The number of ways or combinations in which we can choose x elements from a group of n is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, the probability that none of the damaged houses are insured can be calculated as:

$\frac{kC3}{10C3}=\frac{kC3}{120}$

Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.

The probability that none of the damaged houses are insured is 1/120, so:

$\frac{kC3}{120}=\frac{1}{120}\\ kC3=1$

kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.

Then, the probability that one of the damaged houses is insured can be calculated as:

$\frac{3C2*7C1}{10C3}=0.175$

Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.

Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:

$P=\frac{1}{120}+0.175=0.1833$

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2 years ago