For this question you must know about 45 45 90 triangles and 30 60 90 triangles and their special properties first you have to find the hypotenuse of the 45 45 90 triangles which is always square root of two times a leg in this case 10. so now you have 10squareroot2 the longer leg is sqare root 3 times the shorter leg in a 30 60 90 triangle
x=10squareroot6
and y is 2 2 times larger than the shorter side
y=20squareroot3
Answer:
Step-by-step explanation:
A
The confidence interval for the mean usage of water is (18.7,20.5).
Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.
We have to find the confidence interval for the mean usage of water.
To find out the confidence interval we have to first find margin of error.
μ=19.5
σ=2.4
α=0.98
α/2=0.49
We have to find the z value for the p value 0.49 which is z=2.33
Margin of error=z*μ/
=2.33*19.5/
=0.82
lower level=mean -m
=19.5-0.82
=18.68
after rounding upto 1 decimal
=18.7
upper mean = mean+m
=19.5+0.82
=20.52
Hence the confidence interval for the usage of water is (18.7,20.52).
Learn more about margin of error at brainly.com/question/10218601
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If you write out the numbers, the E. Coli is 0.0000005 m wide while a hair is 0.000017. Less zeros after the decimal mean it is a larger number because it is closer to 1. So, a human hair is wider.
So we know that the bacteria grows 3x as much every ten minutes. From this we know that it'll be 3 mm in 20 minute. Continuing the pattern, we can figure out that in 40 minutes the bacteria will be 81 mm.
The pattern: 10min - 3 20min - 9 30min - 27 40min - 81