Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Comparing the total cost, work out the value of x:</u>
- 2x + x + 0.2 = 3.80
- 3x = 3.60
- x = 1.20
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
5. . 1
---- - -----
6. . 2
5. . 3
----- - -----
6. . 6
5-3
-------
6
2
-----
6
= 1/3
B
Step-by-step explanation:
let equation be y = mx + b.
m = (9-5)/(3-1) = 2
sub (1, 5):
5 = 2(1) + b
b = 3
therefore the equation: y = 2x + 3
Topic: coordinate geometry
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Answer:
X=20; pqr = 130°
Step-by-step explanation:
They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°