Answer:
3/7.
Step-by-step explanation:
The total number of ways to pick 4 out of 8 = 8C4
= 8!/ 4!4!
= 70 ways.
The number of ways when 2 are women = 5C2 * 3
= 10 * 3
= 30.
So the required probability = 30/70
= 3/7.
16 mph is the answer I found after doing the work
Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
Here 5 - 4/9
multiply 9 and divide 9 to 5. It gives 45/9.
Hence, above fraction becomes,
45/9 - 4/9 = (45 - 4) / 9 = 41 / 9
Hope it helps.
Answer:
54.56
Step-by-step explanation:
Given:
Mean, u = 48
Standard deviation, 
= 4
Test score = 5%
Required:
Find the raw score, X.
Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.
Thus, 
To get X, use the formula:
= 48 + (4 * 1.64)
= 48 + 6.56
= 54.56
The anxiety test score that would put someone in the top 5% is 54.56
