Answer:
1.C
2.A
Step-by-step explanation:
Answer:
The correct answer is second option 60°
Step-by-step explanation:
From the figure we can write,
measure of arc AEC = measure of arc AE + measure of CE
measure of arc ACE = measure of AC + measure of CE
measure of arc AEC + measure of arc ACE = 280 + 140 = 420°
measure of arc AE + measure of CE + measure of AC + measure of CE = 420
measure of arc AE + measure of CE + measure of AC = 360°
measure of CE = 420 - 360 = 60°
The correct answer is second option 60°
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
Answer:



Step-by-step explanation:
Number of Men, n(M)=24
Number of Women, n(W)=3
Total Sample, n(S)=24+3=27
Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>
(a)Probability that both appointees are men.

(b)Probability that one man and one woman are appointed.
To find the probability that one man and one woman are appointed, this could happen in two ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
P(One man and one woman are appointed)

(c)Probability that at least one woman is appointed.
The probability that at least one woman is appointed can occur in three ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
- Two women are appointed
P(at least one woman is appointed)

In Part B, 
Therefore:

Answer:
3(9e + 8)
Step-by-step explanation:
the highest common factor is 3 so factor it out.