Answer:e and f
Step-by-step explanation:
Answer: 0.0010
Step-by-step explanation:
Given the following :
Population Mean(m) = 4.2 years
Sample mean (s) = 3.9
Standard deviation (sd) = 0.6
Number of samples (n) = 38
Calculate the test statistic (z) :
(sample mean - population mean) / (sd / √n)
Z = (3.9 - 4.2) / (0.6 / √38)
Z = (- 0.3) / (0.6 / 6.1644140)
Z = -0.3 / 0.0973328
Z = - 3.0822086
Z = - 3.08
From the z table :
P(Z ≤ - 3.08) = 0.0010
The probability that the mean replacement time of a random sample of 38 laptops is 3.9 years or less, assuming the true mean replacement time is 4.2 years, is approximately 0.0038 or 0.38%
To solve this problem, we will use the formula for the Z score of a sample mean:
Z = (x - µ) / (σ/ √n)
In this case, the mean µ is 4.2 years, the standard deviation σ is 0.6 years, the sample mean x is 3.9 years, and the sample size n is 38.
Substituting the given values into the formula, we get:
Z = (3.9 - 4.2) / (0.6/√38) = -2.67.
We can then look up this Z score in the Z score table or use statistical software to find the corresponding probability. The probability associated with Z = -2.67 is approximately 0.0038. This means there's about a 0.38% chance that the mean replacement time of a random sample of 38 laptops will be 3.9 years or less, assuming the true mean replacement time is 4.2 years.
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Perimeter of the drawing is 22 inches, Perimeter of the garden is 770 inches and the Perimeter of Garden becomes 35 times the Perimeter of drawing when drawing length and breadth is multiply by 35.
A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
Perimeter of Rectangle = 2 ( Length + Breadth)
(a) Here Length of Drawing is 7 inches and Breadth of Drawing is 4 inches.
So, Perimeter of the drawing = 2( 7 + 4 )
= 2 * 11
= 22 inches.
(b) According to question , Length and Breadth of actual garden is 35 times of the length and breadth of drawing.
Therefore, Length of Actual garden = 35 * 7 = 245 inches
and, Breadth of Actual garden = 35 * 5 = 140 inches.
So, Perimeter of the garden = 2( 245 + 140 )
= 2 * 385
= 770 inches.
(c) The perimeter of Garden becomes 35 times the perimeter of drawing when drawing length and breadth is multiply by 35.
To Learn more about Perimeter, visit:
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Write z in exponential form:
Then taking the logarithm, we get
so a is the correct answer.
per ounce?
Answer: 24 ounce jar
Step-by-step explanation:
Unit price of 16 ounce jar
= 2.59 / 16
= 0.161875
Unit price of 24 ounce jar
= 3.29 / 24
= 0.137083
Answer:
So, we get that is P(A)=0.32.
Step-by-step explanation:
We know that:
We have the formula for probability:
So, we calculate:
We calculate:
So, we get that is P(A)=0.32.
To find P(A), use the law of total probability given that B1 and B2 are mutually exclusive and complementary events. Substituting the provided values, P(A) = 0.32.
The question is asking us to calculate P(A), given the values for P(A | B1) and P(A | B2), and the knowledge that B1 and B2 are mutually exclusive and complementary events. In probability, if events B1 and B2 are mutually exclusive and complementary, this means that one and only one of them can occur, and their occurrence covers all possible outcomes. We can use the law of total probability to find the overall P(A). The law of total probability states that P(A) = P(A | B1) * P(B1) + P(A | B2) * P(B2). Plugging the provided values into this formula, we get P(A) = .2 * .6 + .5 * .4 = .12 + .2 = .32. Therefore, P(A) is .32.
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