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Ganezh [65]
3 years ago
10

Five more than three times a number is that number increased by 40. What is the number

Mathematics
1 answer:
rewona [7]3 years ago
6 0
Let the number be n.

Then 3n+5 = n+40
Combining like terms, we get

         2n = 35, and so n = 35/7, or 17 1/2.

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"A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen
Marizza181 [45]

Answer:

The company should take a sample of 148 boxes.

Step-by-step explanation:

Hello!

The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.

They estimated a "pilot" proportion of p'=0.20

And using a 90% confidence level the CI should have a margin of error of 2% (0.02).

The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"

[p' ± Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }]

Where

p' is the sample proportion/point estimator of the population proportion

Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} } is the margin of error (d) of the confidence interval.

Z_{1-\alpha /2} = Z_{1-0.05} = Z_{0.95}= 1.648

So

d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }

d *Z_{1-\alpha /2}= \sqrt{\frac{p'(1-p')}{n} }

(d*Z_{1-\alpha /2})^2= \frac{p'(1-p')}{n}

n*(d*Z_{1-\alpha /2})^2= p'(1-p')

n= \frac{p'(1-p')}{(d*Z_{1-\alpha /2})^2}

n= \frac{0.2(1-0.2)}{(0.02*1.648)^2}

n= 147.28 ≅ 148 boxes.

I hope it helps!

3 0
3 years ago
What is a GCF of 10 and 20
USPshnik [31]

The greatest common factor of 10 and 20 is 10.

4 0
3 years ago
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100pts: Why was obsidian used to make scalpels?
Margaret [11]

Answer:

Research also confirms that incisions carried out with obsidian produce narrower scars and fewer inflammatory cells. This is because on cellular level, obsidian knife cuts between cells rather than tearing it in case of a steel knife, hence, a sharper cut allows the wound to heal more easily with negligible scarring.

3 0
3 years ago
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Solve the system of linear equations by graphing, round the solution to the nearest tenth.
algol [13]
For this case we have the following system of equations:
 y = -0.25x + 4.7

y = 4.9x-1.64
 When solving the problem graphically we must take into account the following:
 1) The solution of the system of equations is given by the intersection of both functions.
 2) The solution is an ordered pair of the form (x, y)
 For this case we observe that the solution is given by:
 (x, y) = (1.23, 4.39)

 Note: see attached image.
 Answer:
 
The approximate solution to the system is (1.23, 4.39)

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What is -5.25 to the nearest tenth?
kakasveta [241]
-5.25 to the nearest tenth is -5.3. 
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