The answer is five because if you go for -3 that’s one in 8-6 is two and if you add one and three that’s for sure the only one you need is five and that would be just make no sense at all
Answer:

Step-by-step explanation:
Given: sin x + cos x
To change the given trigonometry expression in term of sine only.
Trigonometry identity:-
Expression: 
We get rid of cos x from expression and write as sine form.
Expression:

Hence, The final expression is only sine function.
We have to find the expected value for the PlayBall lottery.
The price of the ticket = $1
Prize amount = $250
If a player wins, he will be winning $249 as the price is not paid back along with the prize amount. He is spending $1, getting back $250, so the net amount he is getting back is $249.
Now we have to find the probability of winning and losing.
Number of letters from A to T = 20
Number of digits from 0 to 9 = 10
Probability of picking up the same letter that was picked on that day = 1/20
Probability of picking up the same number that was picked on that day = 1/10
Thus, the Probability of picking up the same letter and same number that was picked on that day =

Thus, the probability of winning = 1/200
The probability of losing =

The expected value E for the PlayBall lottery will be:
Thus, the option C gives the correct answer
Answer:
X ~ B(n, p)
Given: X ~ B(2, 5/17)
⇒ n = 2
⇒ p = 5/17
Binomial distribution formula:

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):



**Probability Distribution Table attached**
Answer:
11
Step-by-step explanation:
Area = LW
We know that the w = 2
We are told that the L (length) is three less than an unknown number so that mean L = (x - 3)
We are then told that the area = 22 square inches.
Area = LW
22 = (x - 3)2
Now solve for x
22 = (x - 3)2
Distribute the 2
22 = 2x - 6
22 + 6 = 2x
28 = 2x
28 / 2 = 2x / 2
14 = x
x = 14
Now take 14 and subtract 3
14 - 3 = 11
Unknown number = 11
Area = LW
L = 11
W = 2
Area = 22
11 * 2 = 22