What is the area of a rectangle that is 3 1/2" tall & 6 1/2" long?
1 answer:
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Answer:
Option (D) is correct.
No, They will not intersect.
Step-by-step explanation:
Given Points for g(x), (1,2) , (2,4) and (3,6)
Since g is a linear function then it must be in form of g(x) = mx +c where, c is constant and m is slope.
We first calculate the slope using,
Here, consider
Substitute above, we get slope as,
Thus, equation becomes g(x) = 2x + c ...(1)
For c plug the values in (1),
(1,2) ⇒ 2= 2 + c ⇒ c = 0
Thus, Equation of G(x) is 2x.
When we plot it it do not intersect f(x).
Thus, Option (D) is correct.
No, They will not intersect.
Answer:
P(939.6 < X < 972.5) = 0.6469
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 normal distributions can be 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 normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.
This means that
Sample of 57:
This means that
Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.
This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So
X = 972.5
By the Central Limit Theorem
has a pvalue of 0.6915
X = 939.6
has a pvalue of 0.0446
0.6915 - 0.0446 = 0.6469
So
P(939.6 < X < 972.5) = 0.6469
Answer:
Arc length of the partial circle = 3π units
Step-by-step explanation:
Given question is incomplete; please find the complete question attached.
Formula for the arc length of a circle =
Here θ is the angle formed by the sector at the center.
Angle that is formed at the center of the circle is = 360° - 90°
= 270°
So, length of the arc =
= 3π
Therefore, length of the given partial circle is 3π units.
