The probability that a point is chosen at random in the shaded region will be 0.25.
<h3>What is probability?</h3>
Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Probability = (Favorable event) / (Total event)
The area of the shaded circle below is 78.5 square inches.
The area of the large circle is 314 square inches.
A shaded circle is inside of a larger unshaded circle.
Then the probability that a point is chosen at random in the shaded region will be
P = 78.5 / 314
P = 1 / 4
P = 0.25
Then the correct option is A.
More about the probability link is given below.
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To determine the average water use, 109 people must be sampled.
1.9 gallons is the standard deviation.
E = 0.15 gallons maximum error
1.9 gallons on average
90% is the critical value.
1.645 is the 90% confidence interval.
sample size requirement,
n = (((z ÷ 2) × σ) ÷ E)²
n = (((1.645 ÷ 2) × 1.9) ÷ 0.15)²
n = ((0.8225 × 1.9) ÷ 0.15)²
n = (1.5627 ÷ 0.15)²
n = (10.418)²
n = 108.53 ≈ 109
As a result, the minimal sample size necessary to determine the mean water use = 109.
It is determined by dividing the average standard error by the squared of the sample size, and it decreases with increasing sample size. In other words, when the sample size is sufficiently big, the population mean approaches the population mean.
To learn more about the sample interval at
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Answer:
check on photomath you will find all the answers
Step-by-step explanation:
<u>Break down the word expression:</u>
The sum of 5 and b divided by two
the sum (+) of 5 and b (5 + b) divided by 2.
<u>Expression:</u>
Parentheses represent that we need to add first, in order to divide the sum by 2.
Step-by-step explanation:
equation: m-3n=16
Solution,
or, m - 3n = 16
or, m - 3×8 = 16
or, m - 24 = 16
or, m = 16 + 24
or, m = 40
Therefore, the value of m is '40'
