Answer: 70
plz give brainliest
Step-by-step explanation:
Solution:
Since
96 : 160 = 42 : X
Then we know
160/96 = X/42
Multiplying both sides by 42 cancels on the right
42 × (160/96) = (X/42) × 42
42 × (160/96) = X
Then solving for X
X = 42 × (160/96)
X = 70
Therefore
96 : 160 = 42 : 70
Answer: 0.4
Step-by-step explanation:
We know that the standard deviation of the sampling distribution of mean is given by:-
Given : Standard deviation : 
Sample size : n= 25
Then, the standard deviation of the sampling distribution of mean times will be :-
Hence, the standard deviation of the sampling distribution of mean times=0.4
After the total distance on the first, second and third days, Patrick had walked 3.45miles
Answer:
a) 22.8%
Step-by-step explanation:
(2590-2000) ÷ 2590 =
590 ÷ 2590 =
.2277 = 22.8%
Using the Empirical Rule, it is found that the interval in which approximately 978 students scored was:
A. 72 < x < 88.5.
<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.
The percentage that 978 is of 1200 is:
978/1200 x 100% = 81.5%.
Considering the symmetry of the normal distribution, two outcomes are possible involving 81.5% of the measures:
- Between one standard deviation below the mean and two above, which in the context of this problem is between 77.5 and 94.
- Between two standard deviations below the mean and one above, which in the context of this problem is between 72 and 88.5, which is option A in this problem.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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