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sweet-ann [11.9K]
3 years ago
14

Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and

fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for those months? Check all that apply.
Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

Answer:

3rd and 5th

Step-by-step explanation:

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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
What is the answer to this question ?
nirvana33 [79]

Answer:

If you go to a website with a graph place the points and look where the line sets

Step-by-step explanation:

7 0
3 years ago
For which function does f(14)=23?
NARA [144]

Answer:

Third item in the list

Step-by-step explanation:

Third function:  f(x) = x + 9.  If we substitute 14 for x, we get f(14) = 14 + 9 = 23.

3 0
3 years ago
Help please...I don't get this (40 points and I'll give brainliest)
dexar [7]

A x = 0

using the law of exponents a^{0} = 1

for (6² )^ x = 1 then x = 0

B note that 6^{0} = 1 ⇒ x = 1

2 → 2^8 × 3^(-5) × 1^(-2) × 3^(-8) × 2^(-12) × 2^(28)

= 2^(8 -12 + 28) × 1 × 3^(- 5 - 8)

= 2^24 × 3^(- 13) = 2^(24)/3^(13) = 10.523 ( 3 dec. places)




6 0
3 years ago
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