Answer:
a) 8/10
b) 
c) Independent events
Step-by-step explanation:
The given information are;
The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600
The proportion of women in which the mutation develops breast cancer, P(B) = 8/10
a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;
1 × P(B) = 1 × 8/10 = 8/10
b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;
P(A) × P(B) = 1/600×8/10 = 1/750 =
c) The events are dependent
Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.
Answer:
x=1
Step-by-step explanation:
slope AB = (7-5) / (3 - -1) = 2 / 4 = 1/2
slope CD = (23-11) / (x-7) = 12 / (x-7)
12 / (x-7) = - 2 ... perpendicular to AB slope 1 = - 1/slope 2
-2 (x-7) = 12
-2x + 14 = 12
-2x = -2
x = 1
Answer:
$47
Step-by-step explanation:
Given: Store manager have predicted that 150 blanket can be sold at $32 each.
Also he has predicted sales of 2 blanket will decrease with $1 increase in price.
Now, finding price at which 120 blanket can be sold.
As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.
∴ 
Using unitary method to find correct price.
For 2 decrease in sales = $1 increase in price
∴ 30 decrease in sales of blanket = $15 increase in price
Next, price of 120 blanket = 
Price\ of\ 120\ blanket = 
∴ $47 should be the price for at least 120 blanket to be sold.
<u>Answer-</u>
Correlation coefficient for the data in the table was found to be 0.93.
<u>Solution-</u>
Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.
We know that,
![r=\frac{n(\sum xy)-\sum x \sum y}{\sqrt{[n\sum x^{2} -({\sum x})^{2}]\times [n\sum y^{2} -({\sum y})^{2}]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%5Csum%20x%20%5Csum%20y%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E%7B2%7D%20-%28%7B%5Csum%20x%7D%29%5E%7B2%7D%5D%5Ctimes%20%5Bn%5Csum%20y%5E%7B2%7D%20-%28%7B%5Csum%20y%7D%29%5E%7B2%7D%5D%7D%7D)
Calculating the values from the table, then putting it in the formula
![r=\frac{4 \times 3130.9 \ - \ 6.45 \times 1473}{\sqrt{[4\times 12.3725 \ - \ 6.45^{2}][4 \times 877475 \ - \ 1473^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%20%5Ctimes%203130.9%20%5C%20-%20%5C%206.45%20%5Ctimes%201473%7D%7B%5Csqrt%7B%5B4%5Ctimes%2012.3725%20%5C%20-%20%5C%206.45%5E%7B2%7D%5D%5B4%20%5Ctimes%20877475%20%5C%20-%20%5C%201473%5E2%5D%7D%7D)
∴ Correlation coefficient for the data is 0.93.
The area of a trapezoid can be found by the formula:
A = [(B + b) × h] / 2
where:
B = major base = 36 in
b = minor base = 30 in
h = height = 24 in
Therefore, with the given data you can calculate the area by applying the formula:
<span>A = [(36 + 30) × 24] / 2
= [66 </span><span>× 24] / 2
= 792 in</span>²
Hence, the area of the trapezoid is 792 in<span>².</span>
