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
1 answer:
Answer:
calories
Step-by-step explanation:
Given: The racer moves at miles per hour expends energy at a rate of
calories per hour.
To find: Energy in calories, required to complete a marathon race miles at this pace.
Solution: We have,
The racer moves at miles per hour.
The racer expends energy at a rate of calories per hour.
So, energy expended while moving miles
calories.
Now, energy expended while moving mile
calories.
So, energy expended while moving miles
calories.
Hence, calories of energy is required to complete a marathon race
miles at this pace.
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Answer:
Option a. 0.9811
Step-by-step explanation:
First, you need to use a normal distribution table to solve this. If you don't have it, then see the attached table so you can guide yourself.
Now, we want to know the probability of randomly select 75 women whose height have a mean between 63 and 65 inches, knowing that in general, the mean is 63.5 and standard deviation of 2.5
To do this, you should calculate first the Z score value for both heights, one for 63 inches and the other with 65 inches. Then, with those values, we'll look the table to get the area under the curve, and thus, the probability. To calculate Z use the following expression:
Z = x - μ / (σ/√n)
Where:
μ: mean height
σ: standard deviation
x: height required
n: sample population
We have all the data so let's calculate both values of Z:
Z1 = 63 - 63.6 / (2.5/√75) = -2.08
Z2 = 65 - 63.6 / (2-5/√75) = 4.85
With these Z score, let's watch the table, and see which area belongs to,
In the case of Z1, the area is 0.0188, while Z2 is 1.
To know the probability, all we need to do is substract those values:
P = 1 - 0.0188 = 0.9812
Option a) is the most accurate and closest result to this.
Answer:
i.e answer A.
Step-by-step explanation:
This question involves knowing the following power/exponent rule:
Next, when a power is on the bottom of a fraction, if we want to move it to the top, this makes the power become negative.
so the y-term, when moved to the top of the fraction, becomes:
So the answer is:
Answer:
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do . Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.
Now do . Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:
Your final step is to do . Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:
Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
times