Answer:
Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
so In this problem
substitute the given values
so
Answer:
a) 0.0523 = 5.23%
b) 0.9477 = 94.77%
c) 0.2242 = 22.42%
d) YES
Step-by-step explanation:
This situation could be modeled with a binomial distribution where
The probability of getting exactly k “successes” in n trials is given by
Where p is the probability of “success”.
In this case we can assume that “success” is the fact that the household interviewed is tuned to Found.
So, p=0.19 and n = 14 (the households interviewed).
a)
The probability that none of the households are tuned to Found is P(X=0)
b)
The probability that at least one household is tuned to Found is
1- P(X=0) = 1-0.0523 = 0.9477 = 94.77%
c)
The probability that at most one household is tuned to Found is P(X=0)+P(X=1)
d)
According to this sample, the probability that more than one household is tuned to Found would be 100%-22.42% = 77.58%, so it does appear that the 19% share value is wrong.
Answer:
Expected Value = -$42 (loss of 42 dollars)
Step-by-step explanation:
Complete Question Below:
<em>"There is a 0.9986 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charges $182 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $110 comma 000 as a death benefit. If a 33-year-old male purchases the policy, what is his expected value?"</em>
<em />
We can say P(survival) = 0.9986 and thus P(not survival) = 1 - P(survival) = 1-0.9986 = 0.0014
Also,
In case 33 year old doesn't live, the payment would be 100,000 - 182 = $99,818
And
In case 33 year old lives, the payment is
-$182
We know, the <em>expected value is the sum of the product of each possibility with its probability.</em>
This means a loss of $42 (or -$42)
Answer:
The equation of the line in the slope-intercept form will be:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
From the attached graph, taking two points
Finding the slope between (0, 0) and (-10, 70)
Determining the y-intercept:
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear that:
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = -7 and b = 0 in the slope-intercept form
y = mx+b
y = -7x + 0
y = -7x
Therefore, the the equation of the line in slope-intercept form will be: