Answer:
9.847 %
Step-by-step explanation:
Be p1 the probability that the mammogram detect breast cancer in a woman.
p1=81%.
The probability 'P' that independent and consecutive 'n' singular events with p probability occur is:

In this case:
P: Probability that breast cancer be detected on 11 women with breast cancer.

%
Answer:
x = 13⁰
Step-by-step explanation:
Since AGC is a right angle, AGD is also a right angle
(Sum of angles of straight line is 180, 180 - 90 =90)
Now, DGF + 77 = 90
or, DGF = 90 - 77
DGF = 13
Now we can say that DGF = x because opposite angles formed by intersecting lines are always equal.
So, x = 13⁰
Answer:
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.314
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 34.6 - 0.646 = $33.954
The upper end of the interval is the sample mean added to M. So it is 34.6 + 0.646 = $35.246
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Answer: b=4, c=2
Step-by-step explanation:
Since ΔXYZ and ΔVUW are congruent, we can set the sides equal to each other.
c+16=9c [subtract both sides by c]
16=8c [divide both sides by 8]
c=2
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10b=b+36 [subtract both sides by b]
9b=36 [divide both sides by 9]
b=4