The normal distribution curve for the problem is shown below
We need to standardise the value X=405.5 by using the formula


We now need to find the probability of z=0.32 by reading the z-table
Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

from the z-table, the reading

gives 0.6255
hence,

The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%
The profit does the company make from producing and selling four soccer nets is $109, the correct option is C.
<h3>
What is profit?</h3>
Profit is a financial benefit that is realized when the amount of revenue gained from a business activity.
Given
|Soccer nets per day | Total Cost | Total Revenue |
| 1 | 7$ | $30 |
| 2 | 9$ | $60 |
| 3 | 10$ | $90 |
| 4 | 11$ | $120 |
| 5 | 13$ | $150 |
The total cost in the four soccer = $11
The total revenue in the four soccer = $120
The profit does the company make from producing and selling four soccer nets is;

Hence, the profit does the company make from producing and selling four soccer nets is $109.
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We conclude that after 50 days, there will be 67 lily pads.
<h3>how many will there be after 50 days?</h3>
We know that the number increases by 25% every 10 days.
In 50 days we have 5 groups of 10 days, so there will be five increases of 25%.
We know that the initial number is 22 lily pads, if we apply five consecutive increases of the 25% we get:
N = 22*(1 + 25%/100)*...*(1 + 25%/100%)
( the factor (1 + 25%/100%) appears five times)
So we can rewrite:
N = 22*(1 + 25%/100%)⁵
N = 22*(1 + 0.25)⁵ = 67.1
Which can be rounded to the nearest whole number, which is 67.
So we conclude that after 50 days, there will be 67 lily pads.
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Answer:

Step-by-step explanation:

Multiply and divide by the conjugate.
The conjugate is the denominator with the sign of the complex number the opposite of the denominator.

Quotient = 
Answer:
8-2=6 the answer is 6 because there are 4 cps in 1 quart
Step-by-step explanation: