1 1/3 is simplified to 4/3
multiply 4/3 * 2/3 =8/9
Answer:
Option d) 840
Step-by-step explanation:
Given that a test to measure psychotic tendencies was given to a group of 1,000 air force cadets who wished to work in nuclear silos.
If Score ≥64 would be eliminated.
X is N(52, 12)
Probability for any random person to get eliminated
=
Now coming to sample size of 1000 people, we find each person is independent of the other and there are two outcomes either >64 or < 64
So Y no of persons who get more than 64 is binomial with n =1000 and p = 0.1587
Mean of Y = E(Y)
= no of people who were not accepted
No of people accepted
Approximately we get 840 so option d
Answer:
There is no enough evidence that the viscosity is not 3000. The viscosity is not significantly different from 3000.
Step-by-step explanation:
We have to perform an hypothesis test on the mean.
The null and alternative hypothesis are:
The significance level is 0.05.
The mean of the sample is:
The standard deviation of the sample is:
The statistic t can be calculated as:
The degrees of freedom are
The P-value for t=-1.338 and df=4 is P=0.2519. The P-value is greater than the significance level, so it failed to reject the null hypothesis.
There is no enough evidence that the viscosity is not 3000.
Answer:
x = 2, y = -1
Step-by-step explanation:
To find x, use elimination.
multiply everything in x - y = 3 by 2
(x - y = 3)2
that will now become 2x - 2y = 6
now line the equations up.
4x + 2y = 6
2x - 2y = 6
Now add everything going down.
4x + 2x is 6x, 2y and -2y cancel out, and 6 + 6 is 12. the equation is now:
6x = 12
divide on each side.
x = 2
to find y, substitute 2 into x - y = 3
2 - y = 3
-y = 1
y = -1
The numerical value of this algebraic expression is 123
- Step-by-step explanation:
To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and <em>add </em>the numbers.
Therefore, we can conclude that the numeric value of this expression will be 123