A cone has a diameter of 8 units and a height of 8 units. units, and its volume is Its radius is volume of cubic units. If a sph
ere has the same radius as the cylinder, its volume is cubic units. A cylinder with the same height and radius as the cone will have a the volume of the cylinder.
1 answer:
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Answer: v = -3 or 6
Step-by-step explanation:
Answer:
P(35.3 < M < 35.4) = 0.0040.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
Find the probability that a single randomly selected value is between 35.3 and 35.4
This is the pvalue of Z when X = 35.4 subtracted by the pvalue of Z when X = 35.3. So
X = 35.4
By the Central Limit Theorem
has a pvalue of 0.9927
X = 35.3
has a pvalue of 0.9887
0.9927 - 0.9887 = 0.0040
So the answer is:
P(35.3 < M < 35.4) = 0.0040.
Answer:
<em>The correct option is: B</em>
Step-by-step explanation:
The x-axis is labeled Time driving, and the y-axis is labeled Distance driven.
Segment B is a <u>horizontal line</u> from x equals 0.5 until 1.75.
So, the value of is constant in the interval
to
is 0.
Thus, the distance traveled in the time interval 0.5 to 1.75 will be 0, which means the car was in the same position in that time interval.
So, the interval B on the graph indicates she is stuck in a traffic jam.