Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit
2 answers:
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Answer:
Probability that the sample proportion will be less than 0.03 is 0.10204.
Step-by-step explanation:
We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.
Also, 469 are sampled.
<em>Let </em><em> = sample proportion</em>
The z-score probability distribution for sample proportion is given by;
Z = ~ N(0,1)
where, = sample proportion
p = true proportion = 0.04
n = sample size = 469
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
So, probability that the sample proportion will be less than 0.03 is given by = P( < 0.03)
P( < 0.03) = P(
<
) = P(Z < -1.27) = 1 - P(Z
1.27)
= 1 - 0.89796 = 0.10204
Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.
Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.
Answer: cubic units.
Step-by-step explanation:
You can use this formula for calculate the volume of a cone:
Where "r" is the radius and "h" is the height.
You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:
Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is: