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Papessa [141]
3 years ago
5

How many hours of sleep did you get last night? What fraction of the day is that? What is the decimal equivalent (use your calcu

lator!)? What is the percentage?
Mathematics
1 answer:
rodikova [14]3 years ago
6 0

Answer:

Step-by-step explanation:

how many hours of sleep did you get = 7 hours

What fraction of the day is that = 7/24

What it the decimal equivalent = 0.29 ( 2 decimal point)

What is the percentage = 1.68%

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Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 me
Alex787 [66]

Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.

Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.

Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 . 

5 0
3 years ago
Write the explicit rule by writing each term as the product of the first term.
Alexeev081 [22]

Answer:

1 f(n) = 3(5)^x-1

2 f(n) = 40(3/2)^x-1

Step-by-step explanation:

The first number in the sequence, times the (multiplicative factor)^ x-1 is the rule for geometric sequences.

7 0
3 years ago
Read 2 more answers
A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only
Nadusha1986 [10]

Answer:

The sample size required is, <em>n</em> = 502.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}

The margin of error is:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of <em>z</em> for 97.5% confidence level is:

<em>z</em> = 2.24

Compute the sample size as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

       n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}

           =[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502

Thus, the sample size required is, <em>n</em> = 502.

4 0
3 years ago
How do I subtract 3 - 1 2/7
inna [77]

Answer:

5/7

Step-by-step explanation:

3-1 2/7

3=21/7 (by multiplying denominator)

1 2/7=16/7 (by multiply 1 and 7. Then add to 2)

21/7 - 16/7 = 5/7

5 0
3 years ago
A culture of bacteria has an initial population of 650 bacteria and doubles every 9 hours. Using the formula Pt=P0⋅2tdP_t = P_0\
Ghella [55]
So is doubling, first off, meaning, if the current amount say P, then when it doubles is 2P, or double that, or P + P, so the rate of growth is 100%, since it's doubling.

and is doing it every 9 hour cycle, thus

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4 0
3 years ago
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