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3 years ago

A population of 400 beetles grows by 5% each week. How can the beetle population be determined after a number of weeks, w?

2 answers:

6 0

For this case we have an equation of the form:
f (w) = A * (b) ^ w
Where,
A: initial amount
b: growth rate
w: number of weeks
Substituting values we have:
f (w) = 400 * (1.05) ^ w
Answer:
the beetle population can be determined after a number of weeks, w, with the following function:
f (w) = 400 * (1.05) ^ w

d1i1m1o1n [39]3 years ago

3 0

Answer:the answer is the one on the bottom left

Step-by-step explanation:

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Answer:

The correct answer is <u>B. 15 units</u>

Step-by-step explanation:

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3 years ago

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2 years ago

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The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab

Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

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:

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

For this problem, we have that:

$\pi = 0.25$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when $M = 0.1$

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

$0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.1\sqrt{n} = 2.575{0.25*0.75}$

$\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}$

$(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}$

$n = 124.32$

Rounding up

The minimum sample size needed is 125.

5 0

3 years ago

1. Alexis went shopping for school supplies with $80 in his bank account. He bought a bunch of binders for $23, pens and pencils

masha68 [24]

Answer: So alexis had $80 And he bought a bunch of binders for $23 So If you do the math you will get: $57 But then he buys pens and pencils for $16 So:

$57 - $16 = $41 And then he buys a new backpack for $37. So : $41 - $37 = $4

So yes he had enough to buy all the stuff and still had a little bit leftover!

Hope this helps!

Step-by-step explanation:

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2 years ago