All categories

3 years ago

Which statement describes the graph and system of equations?

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

<span>c.consistent and independent </span>

You might be interested in

HELP ASAP!!!!!!!!!!!!!

Paladinen [302]

Answer:

<h3> A. $\bold{a_n=-3\cdot\left(\frac18\right)^{n-1}}$ </h3>

Step-by-step explanation:

$\begin{cases}a_1=-3\\a_n=a_{n-1}\cdot\dfrac18\end{cases}\\\\\\a_2=a_{2-1}\cdot\frac18=a_1\cdot\frac18\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_1\cdot\frac18}{a_1}=\dfrac18\\\\\\a_n=a_1\cdot r^{n-1}\\\\a_n=-3\cdot\left(\frac18\right)^{n-1}$

3 0

3 years ago

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

amm1812

Answer:

6546 students would need to be sampled.

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:

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

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

This means that $n = 200, \pi = \frac{118}{200} = 0.59$

90% confidence level

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

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

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

$0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}$

$0.01\sqrt{n} = 1.645\sqrt{0.59*0.41}$

$\sqrt{n} = \frac{1.645\sqrt{0.59*0.41}}{0.01}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.59*0.41}}{0.01})^2$

$n = 6545.9$

Rounding up:

6546 students would need to be sampled.

3 0

2 years ago

May someone please help me? I'm too lazy.

andrey2020 [161]

He is incorrect He wrote 50, when it should be 5.

7 0

2 years ago

Read 2 more answers

)The histogram shows the number of gold medals won by different numbers of students at an art competition. Which of the followin

Mnenie [13.5K]

Answer:

Eight students won 6, 7, or 8 gold medals.

Step-by-step explanation:

We see that the third bin is labelled 6 - 8. Since this is on the horizontal, or x, axis, this means that the students in this "bin" have won 6 - 8 medals, which is the same as saying winning 6, 7, or 8 medals.

Because this "bin" goes to 8, that means that there are 8 students who earned this many medals.

Thus, the answer is D.

Hope this helps!

8 0

2 years ago

Read 2 more answers

Can you solve this????? Super hard!

pav-90 [236]

The answer is J. 1/(x^2-x)

5 0

2 years ago

Read 2 more answers