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3 years ago

The graph shows the height of a hiker above sea level.

Mathematics

2 answers:

Afina-wow [57]3 years ago

5 0

My answer for this question is B

The answer is B

dimaraw [331]3 years ago

3 0

The <u>correct answer</u> is:

B) The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is walking up a gentle slope. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.

Explanation:

The variables are marked on the graph. Time is marked along the x-axis, which means it is the independent variable. Height is marked along the y-axis, which means it is the dependent variable.

The first part of the graph rises slowly. This means the elevation does not change much over the time; this would be consistent with a gentle slope being climbed.

The flat areas are where the elevation does not change. This would be consistent with the hiker resting.

The steep decrease at the end shows that the elevation goes down quickly. This is consistent with the hiker climbing down a steep slope.

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Find the slope of the line

pishuonlain [190]

Answer:

The line has a slope of Zero.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given the endpoint A(1, 3) and the midpoint C(6, 2), find the other endpoint B(x, y).

Tpy6a [65]

Right away we know we don't have fractions; the midpoint is the average of the coordinates, so if it and one endpoint are integers so is the other endpoint.

We can do a kind of point arithmetic:

C = (A+B)/2

2C = A+B

B = 2C - A

B = 2(6,1) - (1,3) = (12,2)-(1,3)=(11,-1)

Answer: That's none of the above, but a typo away from the first choice.

6 0

3 years ago

A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the

Pavel [41]

Answer:

98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average age = 25 years

$\sigma$ = population standard deviation = 1.8 years

n = sample of students = 36

$\mu$ = population average age

So, 98% confidence interval for the average age, $\mu$ is ;

P(-2.3263 < N(0,1) < 2.3263) = 0.98

P(-2.3263 < $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < 2.3263) = 0.98

P( $-2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < ${\bar X - \mu}$ < $2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

P( $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < $\mu$ < $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ , $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ]

= [ $25 - 2.3263 \times {\frac{1.8}{\sqrt{36} }$ , $25 + 2.3263 \times {\frac{1.8}{\sqrt{36} }$ ]

= [24.302 , 25.698]

Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

8 0

3 years ago

When variables are being raised to a power what operation is performed with the exponents?

Ludmilka [50]

First you raise the expressions in the parentheses to their powers. Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).

4 0

3 years ago

You buy items totaling $135.82. The sales tax is 4%. You give the clerk three $50 bills. Figure the following amounts:

MrRa [10]

Answer:

a. $5.43

b. $141.25

c. $8.75

Step-by-step explanation:

First you find the total amount you it cost for all the items

$135.82 + 4% = $141.25

You give three $50 dollar bills

50 * 3 = 150

$150 is the amount you give

--------------------------------------

141.25 - 135.82 = 5.43

$5.43 is the amount of the sale price

---------------------------------------

To find the amount is cost for all the items you add the sales tax + the original price

$135.82 + 4% = $141.25

$141.25 is the amount including the tax

---------------------------------------

Subtract

150 - 141.25 = 8.75

So you will get $8.75 back

7 0

3 years ago