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il63 [147K]
3 years ago
7

Chips Ahoy wants to perform a study to determine the number of chocolate chips in their cookies. To that end, they collected a s

ample of 40 cookies. The mean of this sample is 23.95 chocolate chips. From past studies, we know that the standard deviation is 2.55 chocolate chips. Construct a 99% confidence interval of the mean of chocolate chips in all such cookies.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
The formula for the confidence interval is given by

Sample mean + z*[σ/√n], and
Sample mean - z*[σ/√n]

We have:
Sample mean = 23.95
n = 40 
σ = 2.55
z* for 99% confidence = 2.58

Substitute these values into the formula, we have

23.95 + (2.58)(2.55÷√40) = 24.99
23.95 - (2.58)(2.55÷√40) = 22.91

So the lower interval is 22.91 and the highest interval is 24.99
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schepotkina [342]

The solution of given equation is x=2

Further explanation:

In order to solve the given equation we have to isolate the variable x on one side of the equation. The process will involve distributive property and simplification.

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3 years ago
The distance from around the Earth along a given latitude can be found using the formula C=2∏r cos L , where r is the radius of
guajiro [1.7K]

Answer:

The distance reduces to 0 as you go from 0° to 90°

Step-by-step explanation:

The question requires you to find the distance using different values of L and check the trend of the values.

Given C=2×pi×r×cos L where L is the latitude  in ° and r is the radius in miles then;

Taking r=3960 and L=0° ,

C=2×\pi×3960×cos 0°

C=2×\pi×3960×1

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C= 2×\pi×3960×cos 45°

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Conclusion

The values of the distance from around the Earth along a given latitude decreases with increase in the value of L when r is constant

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