Answer:
0.0764
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?
This is the pvalue of Z when X = 32. So



has a pvalue of 0.0764, which is the correct answr
Let's assume
number of birds with 2 wings is x
number of birds with 4 wings is y
A nature museum has 2008 specimens of early birds
so,

Total of wings of 2 wings bird =2x
Total of wings of 4 wings bird =4y
The specimens have a total of 4384 wings
so, we get

we can divide both sides by 2

so, we get system of equations as


we can solve for x and y
We can subtract both equations





so,
number of birds with 2 wings is 1824
number of birds with 4 wings is 184.............Answer
The pool can hold 65.84 ft³ of water
<u>Explanation:</u>
Given:
Shape of pool = octagonal
Base area of the pool = 22 ft²
Depth of the pool = 3 feet
Volume, V = ?
We know:
Area of octagon = 2 ( 1 + √2) a²
22 ft² = 2 ( 1 + √2 ) a²

a² = 
a² = 4.55
a = 2.132 ft
Side length of the octagon is 2.132 ft
We know:
Volume of octagon = 

Therefore, the pool can hold 65.84 ft³ of water
Answer: The Answer is 10
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
:)