Answer:
1.1m
Step-by-step explanation:
Let L denote longer pipe and S denote shorter part
given:
L:S = 9:2
or L/S = 9/2
2L = 9S
S = (2/9)L-----(eq 1)
Also given:
L - 1.65 = 3S
L - 3S = 1.65 ----- (eq 2)
By substitution, sub eq 1 into eq 2
L - 3(2/9)L = 1.65
L - (2/3)L = 1.65
L [ 1 - (2/3) ] = 1.65
L/3 = 1.65
L = 1.65 (3) = 4.95 (substitute into equation 1)
S = (2/9)(4.95) = 1.1m
Answer:
C.) sin(11pi/6)
Step-by-step explanation:
construct triangle with a side perpendicular to x-axis
y=(-1)sin(pi/6)
y=sin(-pi/6)
y=sin((-pi/6)+2pi)
y=sin(11pi/6)
Answer: The answer is (d) Accurately predicting who will be promoted at work.
Step-by-step explanation: We are given four options and asked in which of these four, we can use binomial distribution.
Binomial distribution is used in that experiments where there are only two outcomes, either success or failure.
In the given four options, (a), (c) and (d) are incorrect, because the number of outcomes are not fixed there and hence we cannot use binomial distribution.
Only option (b) will serve our purpose, as we are accurately predicting who is getting promoted at work.
Thus, the correct option is (b).
Answer: Its factored form will be
Step-by-step explanation:
Since we have given that
So, we need to factor ,
Now,
Now, by hit and trial method, we put n=1,
So, n-1 is also factor of p(n).
Now,
So, its factored form will be
The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5
The probability that you will guess all three answers correctly is
(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .
============================
Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)
W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R
Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way
Statistically, if your answers are all pure guesses,
then on the average, the score you expect is
(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8
= 400 / 8
= 50% .
If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.
