All categories

3 years ago

Find the distance between Rockville and San Jose if they are in apart on a map with a scale of 2in:

Mathematics

1 answer:

Grace [21]3 years ago

3 0

Answer with step-by-step explanation:

The distance between Rockville and San Jose is 2407.2. Since there are 63360 inches in a mile, we divide it by 2, which is 31680. We multiply 2407.2 by 31680, and get 76260096.

You might be interested in

For all values of x,

Nana76 [90]

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

6 0

2 years ago

In a class of 10, there are 5 students who play soccer.

Ipatiy [6.2K]

Answer:

Step-by-step explanation: 5/10=1/2 - if one student are chosen, who plays soccer

4/9 if then the second student are chosen, who plays soccer

1/2*4/9=2/9 the probability that both students play soccer

3 0

2 years ago

A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

4 0

2 years ago

Find the slope of the line

morpeh [17]

Slope is 2/5

Step by step you go up 2 and over 5 to reach the next point

4 0

2 years ago

Read 2 more answers

Hello there!

djyliett [7]

2. f(x) = x - 2x² - 5 + 10x

=-2x² + 8x - 5

f'(x)= -4x + 8

4. y = 100(45x - 30 - 3x³ + 2x²)

= 100(-3x³ + 2x² + 45x -30)

= -300x³ + 200x² + 4500x - 3000

y' = -900x² + 400x + 4500

5 0

3 years ago