Answer: 0.009
Step-by-step explanation:
Formula we use here : Binomial distribution formula
Probability of getting success sin x trial =
, where n is the sample size and p is the probability of success in each trial .
Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.
i.e. p= 0.65
Sample size : n= 11
Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-
Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009
Answer:
1/-21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
17
4
x+
−1
12
=6x
Step 2: Subtract 6x from both sides.
17
4
x+
−1
12
−6x=6x−6x
−7
4
x+
−1
12
=0
Step 3: Add 1/12 to both sides.
−7
4
x+
−1
12
+
1
12
=0+
1
12
−7
4
x=
1
12
Step 4: Multiply both sides by 4/(-7).
(
4
−7
)*(
−7
4
x)=(
4
−7
)*(
1
12
)
x=
−1
21
19x³ + (14x + 4x³)=
You can assume that there is a 1 in front of the parentheses, so you can distribute the one to each term in the parentheses.
19x³ + 1(14x+4x³)=
19x³ + 14x + 4x³=
Then combine like terms to get 23x³ + 14x.
So 19x³ + 14x + 4x³= 23x³ + 14x
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
