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Vsevolod [243]
3 years ago
9

There are 150 students and 3/5 of these students are girls. 2/3 play school activities. how many play activities?

Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0

Answer:

100 or 60

Step-by-step explanation:

Since the question does not specify whether \frac{2}{3} refers to only the girls or all students, both will be calculated for your convenience.

If 2/3 refers to all students:

150*\frac{2}{3}

=100

If 2/3 refers to the girls:

150*\frac{3}{5}*\frac{2}{3}

=150*\frac{2}{5}

=60

torisob [31]3 years ago
7 0

Answer:

60 girls play activities

Step-by-step explanation:

150/30= 3/5 = 90/150

2/3 =60/90

60 girls

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Answer:

A. "an arithmetic sequence with a common difference (d) of -6."

B. 33 hours

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D. See below

Step-by-step explanation:

A.

Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.

B.

The formula for term of arithmetic sequence is:

a_n=a_1+d(n-1)

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

a_{33}=225 + (-6)(33-1)\\a_{33}=33

She will have left 33 hours

C.

We will use the arithmetic sequence term formula written above, that is:

a_n=a_1+(n-1)d

THis gives us the amount of hours left after a certain number of weeks.

D.

We plug in 40 into n and find the hours left:

a_{40}=225+(40-1)(-6)\\a_{40}=225-234\\a_{40}=-9

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.

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3 years ago
Which description is paired with its correct expression? two less than the quotient of a number cubed and four, increased by eig
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Step-by-step explanation:

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Step-by-step explanation:

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A construction company is considering submitting bids for contracts of three different projects. The company estimates that it h
julsineya [31]

Answer:

a.P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\

b. E(x) = 0.3

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Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\

For binomial distribution:

E(x)=np\\S(x)=\sqrt{np(1-p)}

Therefore, the company can expect to win 0.3 bids and it is calculated as:

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Additionally, the standard deviation of the number of bids won is:

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