For this case we have the following functions:
We must find
when 
.
So:
We apply distributive property to the terms within parentheses taking into account that:
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
Thus, we have to:
Then, with x = 2:
Equal signs are added and the same sign is placed.
Answer:
7x - 6 = 85
7x = 85 + 6
7x = 91
x = 91/7
x = 13......Mrs. Reno is thinking of 13...thats just creepy
Answer:
the probability that two 18 year old boys chosen at random will have heights greater than 185cm is 0.403
Step-by-step explanation:
P( x > 193) = 0.15
= 1- p(x less than or equal 193)
= 1 -p( z < (x- u) /sigma)
= 1- p( z< (193 - 187)/ sigma)
= 1- p( z< 6/ sigma)
P(z< 6/sigma) = 1 - 0.15
P(z < 6/sigma)= 0.85
6/sigma =1.036
Sigma= 6/1.036
Sigma= 5.79
P( x> 185) = 1- p( x< 185)
= 1- p (z < (185- 187)/5.79)
= 1- p( z< -0.345)
= 1- 0.365
= 0.635
P (x> 185) = 0.635 × 0.635
=0.403
Answer:
36.50
To two decimal places
Step-by-step explanation:
The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.
From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.
Cos 51°=x/58
Let the size of the leg be x
Making x the subject
x=58(Cos51°)
x=36.500058
Correct to two decimal place
x=36.50
Answer: The predictor variable in this problem is the amount spent on promotional material.
Explanation:
A predictor variable refers to variable needed to make a prediction of another variable. If we analyze the problem, we notice that the supermarket chain is predicting the sales revenue generated because once the supermarket spends on promotional material, it will result to sales revenue. Thus, the predictor variable is the amount spent on promotional material.
