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kaheart [24]
3 years ago
12

What is the smallest prime number that is also a factor of 27 and a multiple of 3?Please explain why this or that is the answer.

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

Answer:

To be fair I believe it's 3 because 27/3=9 and 3x1=3

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7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.035}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2

n = 784

You must survey 784 air passengers.

6 0
3 years ago
It took Everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
slega [8]
\bf \cfrac{10km}{55mins}\cdot \cfrac{0.621miles}{1km}\implies \cfrac{62.1miles}{55mins}\approx 1.12909909\approx \boxed{1.13\frac{miles}{mins}}
5 0
3 years ago
Write 5numbers 8digit long
Virty [35]
12345678
23456789
34567890
45678901
56789012
6 0
3 years ago
Which expressions have a quotient of 4/5​
goblinko [34]

Answer:

  • b and e

Step-by-step explanation:

a. 5/2 ÷ 1/2  =

  • 5/2*2 =
  • 5

b. 6/9 ÷ 5/6

  • 2/3*6/5 =
  • 2*2/5 =
  • 4/5

c. 3/6 ÷ 2/5

  • 1/2 * 5/2 =
  • 5/4

d. 7 1/2 ÷ 6 =

  • 15/2*1/6 =
  • 5/(2*3) =
  • 5/6

e. 1 1/3 ÷ 1 2/3=

  • 4/3 ÷ 5/3 =
  • 4/3 * 3/5 =
  • 4/5
5 0
3 years ago
Read 2 more answers
Help on these precalc problems 14-20
Nadya [2.5K]
15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2
7 0
3 years ago
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