Answer: 4.2 miles
Step-by-step explanation:
So she ran 6 miles in 50 minutes how long will she run in 35 minutes?
So the equation will therefore be:
6=50
x=35
Cross multiply
6 x 35 = 50x
210 = 50x
Divide both sides by 50
The answer is 4.2 miles
Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
More can be learned about the Empirical Rule at brainly.com/question/24537145
*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
The Math is easy all you got to do is subtract first she had 25.00 then 8.37
25.00
_ 8.37
˘˘˘˘˘˘˘˘˘
16.63
Your answer would be 16.63
For question 1:
Since each person is going to eat 1/4 of pizza and there are two of them, there are going to be 8 slices. There are 5 people eating, that's 5 slices gone, leaving 3.
It would be <u>D.) 3/4 pizza</u>
For question 2:
three people order the same meal. Now, if I'm correct, the meal total is AFTER the coupons were used. so that would bring total cost up to $30.75.
Divide that by 3 for all three friends:
30.75/3 = <u>D.) $10.25</u>