Geometry

The population of a small town can be described by the equation PN equals 4000+70n. Where n is the number of years after 2005. E

ruslelena [56]

Answer:

The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).

8 0

4 years ago

According to a poll, 76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing Cali

lina2011 [118]

Answer:

The error bound is 3.125%.

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 interval $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

A sample of 506 California adults.. This means that $n = 506$ .

76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that $\pi = 0.76$

We wish to construct a 90% confidence interval

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - \frac{0.10}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 1.645\sqrt{\frac{0.76*0.24}{506}} = 0.7288$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 1.645\sqrt{\frac{0.76*0.24}{506}} = 0.7913$

The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:

$EBM = \frac{0.7913 - 0.7288}{2} = 0.03125$

The error bound is 3.125%.

3 0

3 years ago

I really need help and i need to solve this one that says solve & simplify:3/4×2/3

VARVARA [1.3K]

3/4 2/3

This is a multiplication of fractions

1.- Multiply the numerators and the denominators

3/4 x 2/3 = (3x 2) / (4 x 3)

= 6/12

2.- Simplify

= 3/6

= 1/2

4 0

1 year ago

Changethe improper fraction into an equal mixed number 15/4

frez [133]

Answer:

15 divided by 4 = 3 3/4

Step-by-step explanation:

First divide 15 on 4 to get 3.75. convert 3.75 to a fraction. 3 will stay as three, and 0.75 will be converted to 3/4. the answer to your question is 3 and 3/4. I hope this was correct. if it was then please mark as brainliest.

3 0

3 years ago

Read 2 more answers

Find the similiar triangles and write the similarity statement.

Alchen [17]

your answer is the first one, MNO is similar to GHK

the sum of the interior angles of a triangle is 180°

MNO

180 - 22 - 79 = 79° (angle N)

GHK

180 - 79 - 79 = 22° (angle K)

From here you see that they have the same angles, so they are similar.