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aksik [14]
3 years ago
10

Elizabeth has 140 citrus trees and 180 palm trees

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
4 0
You have to find the GCF of 140 and 180.

The GCF is 20 so thats your answer.
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A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

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

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
The price of an airline ticket was $320 amd it is now 420$ what is the percent increase the price of the ticket
enyata [817]

Answer:

 31.25 percent increase

Step-by-step explanation:

To find the percent increase, we take

percent increase = (new - original)/new * 100 percent

                            = (420-320)/320 * 100 percent

                              100/320 * 100 percent

                              .3125 * 100 percent

                               31.25 percent increase

3 0
3 years ago
Combine like terms to create an equivalent expression.
Lelu [443]

Answer:

\frac{1}{6} p - \frac{4}{5}

Step-by-step explanation:

collect like terms

- \frac{2}{3} p + \frac{5}{6} p + \frac{1}{5} - 1

= - \frac{2(2)}{2(3)} p + \frac{5}{6} p + \frac{1}{5} - \frac{5}{5}

= - \frac{4}{6} p + \frac{5}{6} p - \frac{4}{5}

= \frac{1}{6} p - \frac{4}{5}

5 0
2 years ago
2, Find the price of a a video game that costs $60.00 with 30% discount.
Pie

Answer:

18$

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Subtract the following polynomials. Write answer in a-b-c-d order. From 4a+7b-12c subtract 8a-9b+12d
ozzi

(4a+7b-12c)-(8a-9b+12d)\\4a+7b-12c-8a+9b-12d

Negative multiply negative = Positive

Negative multiply positive = negative

-8a+4a+9b+7b-12c-12d\\-4a+16b-12c-12d

Thus the answer is -4a + 16b - 12c - 12d.

4 0
2 years ago
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