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3 years ago

Mastery challenge

Mathematics

1 answer:

kolezko [41]3 years ago

7 0

The complete question is;

Below are last week's revenues (in thousands of dollars) for six different Nancy's Noodles locations. 6, 6.8,3.7,8.1,6.6,7

Find the median revenue.

Answer:

Median = 6.7 thousand dollars

Step-by-step explanation:

From the question, the 6 revenues in thousands of dollars are;

6, 6.8, 3.7, 8.1, 6.6, 7

To find the median, we need to arrange the terms in ascending order.

Thus, we have;

3.7, 6, 6.6, 6.8, 7, 8.1

Since the number of terms are 6,then the median term is (6 + 1)/2 = 7/2 = 3.5th term

To get the 3.5th term, we have to find the average of the 3rd and 4th terms in the series of revenue.

3rd term = 6.6 and 4th term = 6.8

Thus, median = (6.6 + 6.8)/2

Median = 13.4/2

Median = 6.7 thousand dollars

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Step-by-step explanation:

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3 years ago

Over a 12 hour period the students estimate that 2,400 bees will leave the hive. How many bees should they expect to travel west

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Select True or false for each statement

PilotLPTM [1.2K]

Answer:

False

True

False

Step-by-step explanation:

1. We have to get the sum as follows :

$3\frac{4}{9} + 4\frac{6}{9}$

= $\frac{31}{9} + \frac{42}{9}$

= $\frac{31 + 42}{9}$

= $\frac{73}{9}$

= $8\frac{1}{9} \neq 7\frac{1}{9}$

So, this is false.

2. We have to get the sum as follows :

$4\frac{5}{6} + 1\frac{3}{6}$

= $\frac{29}{6} + \frac{9}{6}$

= $\frac{29 + 9}{6}$

= $\frac{38}{6}$

= $6\frac{2}{6}$

So, this is true.

3. We have to get the difference as follows :

$4\frac{5}{8} - 2\frac{4}{8}$

= $\frac{37}{8} - \frac{20}{8}$

= $\frac{37 - 20}{8}$

= $\frac{17}{8}$

= $2\frac{1}{8} \neq 2\frac{3}{8}$

So, this is false.

4. We have to get the difference as follows :

$7\frac{5}{8} - 4\frac{2}{8}$

= $\frac{61}{8} - \frac{34}{8}$

= $\frac{61 - 34}{8}$

= $\frac{27}{8}$

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4 years ago

There is a 0.9986 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charge

Helen [10]

Answer:

Expected Value = -$42 (loss of 42 dollars)

Step-by-step explanation:

Complete Question Below:

"There is a 0.9986 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charges $182 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $110 comma 000 as a death benefit. If a 33-year-old male purchases the policy, what is his expected value?"

We can say P(survival) = 0.9986 and thus P(not survival) = 1 - P(survival) = 1-0.9986 = 0.0014

Also,

In case 33 year old doesn't live, the payment would be 100,000 - 182 = $99,818

And

In case 33 year old lives, the payment is

-$182

We know, the expected value is the sum of the product of each possibility with its probability.

$ExpectedValue=\Sigma x*p(x)=(99818)(0.0014)+(-182)(0.9986)=-42$

This means a loss of $42 (or -$42)

4 0

3 years ago