Q3: 3 correct answer. Q4: 0 correct answer
Please use tree diagram to explain.
Answer:
0.9533
Step-by-step explanation:
(a) Probability that a randomly selected woman's height is less than 65 inches:
Using the z-score formula:
�
=
�
−
�
�
Z=
σ
X−μ
Where:
�
X = 65 inches
�
μ = 64.3 inches
�
σ = 2.7 inches
�
=
65
−
64.3
2.7
≈
0.2593
Z=
2.7
65−64.3
≈0.2593
Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).
(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:
Using the Central Limit Theorem:
�
μ (mean of the sample means) remains 64.3 inches.
�
sample mean
σ
sample mean
(standard deviation of the sample means) is calculated as
2.7
43
≈
0.4115
43
2.7
≈0.4115.
Now, find the z-score for a sample mean of 65 inches:
�
=
65
−
64.3
0.4115
≈
1.6924
Z=
0.4115
65−64.3
≈1.6924
The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).
False
The regular price for an item that is on sale for $38.40 is $48.
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function.
The output of a function is returned by the inverse function, which also returns the initial value.
Given the sale price of an item that has a regular price of R is,
S = R - 0.2R
the inverse function of R is
S = R(1 - 0.2)
S = R(0.8)
R = S/0.8
and the sale price is $38.40
regular price is,
R = S/0.8
R = 38.40/0.8
R = $48.
Hence the regular price is $48.
Learn more about inverse function;
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Answer:
R=48
Step-by-step explanation:
S=R(1-0.2) R = 38.40/.8
S=R(.8) R = 48
R=5/.8