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Artyom0805 [142]
3 years ago
8

Stanley has two large books he needs to store in his locker at school. His math book measures 2.5 inches thick × 6 inches long ×

9 inches tall. His social studies book measures 3 inches thick × 7 inches long × 10 inches tall.
What is the total volume of Stanley's two books?
A) 90 cubic inches
B) 135 cubic inches
C) 210 cubic inches
D) 345 cubic inches
Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

345 cubic inches

Step-by-step explanation:

2.5(6)9 = 135

3(7)10 = 210

135 + 210 = 345

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4 0
3 years ago
A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 3 men and 5 women be chosen?
PIT_PIT [208]

Answer:

25872 ways

Step-by-step explanation:

We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:

n!/(k!)(n-k)! with n as population and k as picks.

We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)

That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)

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8 0
3 years ago
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The monthl
malfutka [58]

Answer:

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Standard error $34.69

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error, s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $1,060 and standard deviation $190.

Sampling distriution of samples of size 30:

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Standard deviation s = \frac{190}{\sqrt{30}} = 34.69

4 0
4 years ago
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Answer:

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Step-by-step explanation:

7 0
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g(x) is basically f(x) but flipped or reflected over or the y-axis. We can achieve this effect by negating f(x), or -f(x).

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