The mean of the given data will be equal to 52.
Mean is defined as the ratio of the sum of the given data to the number of the counts of the data.
Given that:-
42, 45, 58, 63
The mean will be calculated as:-
Mean = Sum of the data sets ÷ Number of the data sets
Mean = ( 42 + 45 + 58 + 63 ) ÷ 4
Mean = 208 ÷ 4
Mean = 52
Therefore the mean of the given data will be equal to 52.
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The correct option is 0.9098. The probability that at least 16 Californians prefer hot weather over cold weather is 0.9098.
According to a survey, 67.5% of Californians prefer hot weather over cold weather. Let X = number of Californians in a sample of 19 who prefer hot weather over cold weather. Then, the probability that at least 16 Californians prefer hot weather over cold weather can be calculated by using the cumulative binomial probability formula. Let X = the number of Californians in a sample of 19 who prefer hot weather over cold weather.
The formula for calculating the cumulative binomial probability is: P(X≥k) = ∑i=kn P(X=i)
In this example, k = 16, n = 19, and P(X=i) = 0.675
Therefore, P(X≥16) = ∑i=1619 P(X=i) = 0.9098
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10h
100 + h
90h
The algebraic expression that represents the overall rate for a day's tent rental from Tom's Tent Rental, considering both the flat rate and the hourly charges, is '100 + 10h'.
To solve the problem, we need to express the situation in algebraic form. In this case, Tom's Tent Rental charges a flat rate of $100 per day, so we have '100'. Additionally, it costs $10 for each hour the tent is used. If we denote the number of hours as 'h', then the charge for the hours used would be '10h'.
Therefore, the total cost or the algebraic expression representing the overall rate for the day, considering both the flat rate and the hourly charges would be '100 + 10h'.
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h =
Answer:
The value of h is
h = A/b.
B. –2.06
C. 1.18
D. 0.35
Answer:
A.
Step-by-step explanation:
We want to find the Z-score of if the population mean is ,and the population standard deviation is .
We use the formula:
We substitute the values to obtain:
The correct answer is A.