17. On a map, 1 inch = 20 miles. If the road is 4.3 inches long on the map, how many miles is the actual road?

Debora [2.8K]

The answer is A, C, and D.
If you look at the y values column, you'll notice two spots in the chart where there are 0s for the y value.
Since, in those cases, the numbers only exist on the x-axis, there are called x-intercepts.
You'll also notice that the y-values decrease, meaning that the chart goes down from x=-4 to x=0.
Finally, you'll notice an odd sort of pattern, like the values are a mirror of each other, in between 0 and 1. This means there is a line of symmetry at x= 0.5

4 0

4 years ago

What’s two more than a number in the expression form

skad [1K]

The answer is x+2 b/c
a) whenever it says than it means that this part goes second.
b) a number - substitute w/ any letter
ex: x
c) put it together
two more than (_+2) a number (x) is x+2

3 0

3 years ago

eu (european union) countries report that 46% of their labor force is female. The United Nations wnats to determine if the perce

Brrunno [24]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 employment records, representatives from the United States Department of Labor found that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. If the Department of Labor wishes to tighten its interval, they should:

A. increase the confidence level

B. decrease the sample size

C. increase the sample size

D. Both A and B

E. Both A and C

Solution:

Confidence interval for population proportion is written as

Sample proportion ± margin of error

Where sample proportion is the point estimate for the population proportion.

Margin of error = z × √pq/n

The z score for 95% confidence level is 1.96

p = 46/100 = 0.46

q = 1 - p = 1 - 0.46

q = 0.54

n = 500

Margin of error = 1.96√0.46 × 0.54/500 = 0.044

To tighten it's interval, the margin of error needs to be reduced.

If we increase the confidence level, say to 99%, z = 2.58

Then

Margin of error = 2.58√0.46 × 0.54/500 = 0.058

It increased

Also, If we increase the sample size, say to 700, then

Margin of error = 1.96√0.46 × 0.54/700 = 0.037

It has reduced

Therefore, the correct options is

C. increase the sample size

8 0

3 years ago

One end of a cable is attached to the top of a 60-foot pole. The other end is attached to the ground at a distance of 25 feet fr

lbvjy [14]

This is a simple $A^2 + B^2 = C^2$ Pythagorean Theorem problem.

So here we go:

Imagine a right triangle with 2 legs and a hypotenuse.
The Pole is the vertical leg. The Cable is the hypotenuse. The distance on the ground between the cable and the pole is the 3rd leg.

We are trying to find the hypotenuse which is C in our Pythagorean Theorem.

Thus:
$60^2 + 25^2 = C^2$

Add the squares:

$3600 + 625 = 4225 = C^2$

Now take the square root of both sides:
*Remember that in triangles, we cannot have a negative value for the length. (If it's possible, please contact the Nobel Prize admins).

$\sqrt{C^2} = C = \sqrt{4225} = 65$

Thus:

$C = Length = 65 ft$

4 0

4 years ago

On monday caroline spent 2/3hour riding her bike and 1 3/4 doing homework how many more hours did caroline spend doing homework

Andrej [43]

2/3 hour is 40 minutes. 1 3/4 hour is 1 hour and 45 minutes. So she spent 1 hour and 5 minutes or 1 1/12 hour longer doing homework.

8 0

4 years ago

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