Answer:
x = 15
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
3+6x + 5x+12 = 180
Combine like terms
11x+15 = 180
Subtract 15 from each side
11x+15-15 =180-15
11x = 165
Divide by 11
11x/11 =165/11
x =15
Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
Answer:
YES
Step-by-step explanation:
So how you can figure this out is you do the Distributive Property.
So it will be 12x^3+12y^2+6y^2+6.
The next thing you have to do is add together the ones that are similar which is 12y^2+6y^2 to get 18y^2.
Your answer is 12x^3+18y^2+6. So YES it can be factored into that form.
Answer:(c)
Step-by-step explanation:
Given : In a hypothesis testing the null hypothesis has been rejected when the alternative hypothesis has been true.
Find : to find that the given decision is create type I error , type II error or right decision has been taken
Step by step :
In hypothesis testing there are 2 types of error.
(1)Type I error :- if the null hypothesis is rejected when it is true, is known has Type I error .
(2)Type II error:- if the null hypothesis is accepted when alternative hypothesis is true, is known as type II error.
Since here null hypothesis has been rejected when alternative hypothesis has been true,i.e., the correct decision has been made
Hence option (c) is correct.
Answer:
$2.85
Step-by-step explanation:
8.55/3
