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3 years ago

Answer to the question

Mathematics

1 answer:

oee [108]3 years ago

6 0

Answer:

Step-by-step explanation:

102 + 102 + 24x + 24x - 18 - 18 = 360

204 + 48x - 36 = 360

204 + 48x = 360 + 36

204 + 48x = 396

48x = 396 - 204

48x = 192

x = 192/48

x = 4

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The weight of a beg of pears at the local market averages 8 pounds with a standard deviation of 0.5 pound. The weight of all the

Blababa [14]

Mean weight of the bag of pears = u = 8 pounds
Standard deviation = s = 0.5 pounds

We have to find what percentage of bags of pears will weigh more than 8.25 pounds. This can be done using the z score.

We have to convert x = 8.25 to z scores, which will be:

$z= \frac{x-u}{s}= \frac{8.25-8}{0.5}$

z score = 0.5

From the z table, the probability of z score being greater than 0.5 is 0.3085

Therefore, the probability of a bag to weigh more than 8.25 pounds is 0.3085

Thus 0.3085 or 31% (rounded to nearest integer) of bags of pears will have weight more than 8.25 pounds at the local market.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Ber [7]

Answer:

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3 years ago

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A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial off

Yakvenalex [24]

Answer:

a) The officers can be appointed in 24024 different ways.

b) The committee can be appointed in 1001 different ways.

c) 1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

Step-by-step explanation:

The order in which the officers are appointed is important(the first is the president, second the CEO and so on...). So the permutations formula will be used.

Otherwise, in the committee there are no roles, so the order is not important. So the combinations formula will be used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

A. How many different ways can the officers be appointed?

4 from a set of 14, with roles. So a permutation.

$P_{(14,4)} = \frac{14!}{(14-4)!} = 24024$

The officers can be appointed in 24024 different ways.

B. How many different ways can the committee be appointed?

4 from a set of 14, without roles. So combination

$C_{14,4} = \frac{14!}{4!(14-4)!} = 1001$

The committee can be appointed in 1001 different ways.

C. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes.

The three youngest(1 combination), and one of the other 14-3 = 11. So $D = 1*11 = 11$

Total outcomes:

From B., 1001, so $T = 1001$

Probability:

$p = \frac{D}{T} = \frac{11}{1001} = 0.011$

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3 years ago

Smo answer these and show work plz

suter [353]

Answer:

Step-by-step explanation:

1) multiply the three dimension

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V = 13,5 x 5 = 67,5 km^3

3) find the trapezoid area

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multiply the base area for the height

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5) find the base area

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multiply the base area for the height

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