A right triangle has a leg of 11 and a hypotenuse of 16. Find the missing leg (in simplest radical form)

A company has a bonus incentive for its employees. The company pays employees an initial signing bonus of $1000 and invests that

Angelina_Jolie [31]

Since this is a compound interest, we will use this formula: A = P(1+r/n)^n*t

P = $1000 --> the amount that we start with

r = 8% --> this is the rate

n = 4 --> This is because it is compounded quarterly.

t = 5 --> the amount of years

A = 1,000.00(1 + 0.02)^(20)

So our final value after inserting those numbers in the equation is: $1,485.95.

6 0

2 years ago

We would like to create a confidence interval.

Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

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 $1-\alpha$ , we have the confidence interval with a margin of error of:

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

In which

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

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of $\sqrt{\pi(1-\pi)}$

So

a.A 99% confidence level and a sample size of 50 subjects.

$n = 50$

99% confidence interval

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

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}$

b.A 90% confidence level and a sample size of 50 subjects.

$n = 50$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}$

c.A 90% confidence level and a sample size of 300 subjects.

$n = 300$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}$

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

$n = 300$

99% confidence interval

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

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}$

6 0

3 years ago

Factor polnomial 4p^2−16p+12

iVinArrow [24]

Answer:

4(p−1)(p−3)

Step-by-step explanation:

Factor 4p2−16p+12

4p2−16p+12

=4(p−1)(p−3)

7 0

2 years ago

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(1/2)x x 3/43=<br><br><br> Pls im so close for finishing 20 POINTS

Digiron [165]

3/86 I believe because; 1/2 x 3/43 = 1x3 and 2x43 as denominator = 3/86 MULTIPLY both numerators and denominators.

3 0

3 years ago

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The volume of a storage tank is 1695.6 m3. The radius is 6m. How tall is the storage<br> tank?

Andreas93 [3]

Answer:

the storage tank is a cylinder.

The formule to calculate the volume is:

$v =\pi{r}^{2} \times h$

$h = v \div \pi {r}^{2}$

$h = 1695.6 \div 36 \times \pi = 14.992$

7 0

2 years ago

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