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Yanka [14]
3 years ago
8

A police department in a small city consists of 10 officers. If the department policy is to have 5 of the officers patrolling th

e streets, 2 of the officers working full time at the station, and 3 of the officers on reserve at the station. How many different divisions of the 10 officers into the 3 groups are possible?
Mathematics
1 answer:
meriva3 years ago
5 0

Answer:

2,520

Step-by-step explanation:

The number of possible arrangements of officers patrolling the streets is the combination of choosing 5 officers out of 10 (₁₀C₅). After choosing the patrolling officers, the number of arrangements for the officers working full time at the station is given by the combination of choosing 2 officers out of the 5 remaining (₅C₂). The remaining officers should be on reserve at the station (₃C₃). The total number of arrangements is:

N = _{10}C_5*_5C_2*_3C_3\\N=\frac{10!}{(10-5)!5!} *\frac{5!}{(5-2)!2!}*\frac{3!}{(3-3)!3!} \\N=2,520

There are 2,520 possible divisions.

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About 492 feet per minute

9 • 54.68066 = 492.126

Rounding to the nearest whole number gets you 492
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Just need some help please
Vlad1618 [11]

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It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

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3 years ago
The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th
Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16

The t-value can be calculated as:

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4 0
3 years ago
Which list is in order from least to greatest? A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3 B) 2.5 *10^3, 7 * 10^3, 9.25 *
vladimir1956 [14]

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

9.4 * 10^{-8}  \: <   \: 9.25 * 10^{-6} \:  <  \: 2.5 * 10^3 \:  <  \: 7* 10^3

The correct choice is A.

6 0
3 years ago
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