Answer:
600 miles.
Step-by-step explanation:
So basically we can write both plans as linear functions:
F(x) = $59.96+$0.14 . x
S(x) = $71.96+$0.12 . x
Where F(x) is the first plan, S(x) is the second one and X are the miles driven.
To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.
F(x) = S (x)
Mai has to drive 600 miles for the two plans to cost the same-
9514 1404 393
Answer:
-3, 7, 8
Step-by-step explanation:
You can fill in the boxes from the table values as shown in the attachment.
The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.
The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.
Answer:
0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples 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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
Consider the probability that no less than 96 out of 145 people will not get the flu this winter.
More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So
has a pvalue of 0.8676
1 - 0.8676 = 0.1324
0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.
Answer:
21,000
Step-by-step explanation:
This is more of straightforward multiplication, so I cannot explain much! If you want me to try to do more, then just comment.
(7 * 10 * 5) * (3 * 10 * 2)
= (70 * 5) * (30 * 2)
= (350) * (60)
= 21,000
Thusly, in standard form, the equation given is .
Hope this helps! (: