Answer:
a) 220
b) 10
c) 4.55% probability that the selected group will consist of all women.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the people are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
a. In how many ways can three people be selected from this group of twelve?
b. In how many ways can three women be selected from the five women?
Three women, from a set of 5. So
c. Find the probability that the selected group will consist of all women.
Desired outcomes:
3 women from a set of 4. So
Total outcomes:
3 people, from a set of 12. So
Probability:
4.55% probability that the selected group will consist of all women.
0Answer:
A
Step-by-step explanation:
Find the zeros by letting y = 0 , that is
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Since the coefficient of the x² term (a) > 0
Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals
(-∞, - 2) and (3, ∞ ) → option A
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
Answer:
38 centimeters
Step-by-step explanation:
Diameter is twice the radius so multiply 19 by 2.
Answer:
4 and 4.1
Step-by-step explanation:
because sqrrt17 is about 4.123 (memmorized) and it's rounded down to 4 and down to 4.1
