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Anna [14]
2 years ago
13

If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy

in calories would be required to complete a marathon race (26.2 miles) at this pace
Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

Answer:

1290 calories

Step-by-step explanation:

Given: The racer moves at 13.1 miles per hour expends energy at a rate of 645 calories per hour.

To find: Energy in calories, required to complete a marathon race 26.2 miles at this pace.

Solution: We have,

The racer moves at 13.1 miles per hour.

The racer expends energy at a rate of 645 calories per hour.

So, energy expended while moving 13.1 miles =645 calories.

Now, energy expended while moving 1 mile =\frac{645}{13.1} calories.

So, energy expended while moving 26.2 miles =\frac{645}{13.1}\times 26.2=645\times 2=1290 calories.

Hence, 1290 calories of energy is required to complete a marathon race 26.2 miles at this pace.

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A veterinarian's office recorded one particular week that they had 50 patients. The following table shows the recorded number of
Gre4nikov [31]

Answer:

1. <u>The correct answer is 46%</u>

2. <u>The correct answer is .07</u>

<u>3. The correct answer is (34%,58%)</u>

4. <u>The correct answer is (32%,60%)</u>

Step-by-step explanation:

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

<u>The correct answer is 46%</u>

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

<u>The correct answer is .07</u>

<u>3. </u>Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

<u>The correct answer is (34%,58%)</u>

4. <u> </u>Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

<u>The correct answer is (32%,60%)</u>

3 0
2 years ago
The length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Sergio [31]

Okay, well we start out with the equation P=66, where P is perimeter. You should create equations using variables to explain each piece of information you are given. Follow the equations below and see if you can understand how to do another one like this. In this problem, l is length and w is width.


P = 66                               The perimeter is equal to 66

l = 3 + w                           The length of one side is 3 more than the width

2l + 2w = 66                      A rectangle's perimeter is calculated by adding the lengths and widths

2(3 + w) + 2w = 66           Use what you know about length from step 2 to replace the variable in step 3

6 + 2w + 2w = 66              Multiply

6 + 4w = 66                       Add like terms

4w = 60                            Subtract

w = 15                             Divide

l = 3 + w                         Remember step 2?

l = 3 + 15                       Replace the variable using your value for w

l = 18                             Add

And you're done! Always check your work. It helps to create a picture of a rectangle while you're doing these problems as well. As you get used to these problems more and more, you can show more or less work than I've shown, but try to stay true to what the teacher asks of you. Good luck!

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2 years ago
Read 2 more answers
At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The num
horrorfan [7]

in the equation as we can say x= 2y-10.

so, substitute x=2y-10 everywhere then the x in 1240 gets cancelled with 2y-10 then solve the remaining you will get 4y-20+3y=1240

7y=1260

y=1260/7

y=180

then substitute the value of y everywhere

2x+3y=1240

2x+3(180)=1240

2x=1240-540

2x=700

x=350

DONE.

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What angle (in radians) corresponds to 0.75 rotations around the unit circle?
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3pi/2. The unit circle is 2pi
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The surface area of a square pyramid is 95 square inches. The side length of the base is 5 inches. What is the value of x?
alina1380 [7]
5 i think sorry if im wrong

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