Follow the steps for 8
(1) 8 * 2 = 16
(2) 16 * 5 = 80
Note: you could just combine the first 2 steps and multiply by 10 to start with. Much easier: just add a 0 onto 8.
(3a) 12 * 8 = 96
(3b) 96 - 24 = 72
(3c) So you want to take 1/2 72 which is 36
(4) 36 + 80 = 116
Let's try this with x.
(2) x * 10 = 10x
(3) 1/2 (12*x - 24)
(3) 10x + 1/2 (12x - 24)
(3) 10x + 6x - 12
(4) 16x - 12
Problem B
Math wiz would add 12 to the number given to her and then divide by 16. That's pretty complicated to do quickly.
For example Let the original number be 1221
(2) Multiply by 10 12210
(3) Take 1/2 the difference between 12 times 1221 and 24 which is 1/2(14652 - 24) = 7314
And add this result to 12210
7314 + 12210 = 19524
Tell her the number. She has to add 12
19524 + 12 = 19536 And divide by 16
to get 1221.
Pretty complex even for a wizard.
Answer: 8 1/4
Step-by-step explanation:
2 3/4 + 5 1/2 = ?
Least common denominator is 4
2 3/4 + 5 2/4 = ?
2(4)+3 = 11
5(4) + 2 = 22
so the equation becomes
11/4 + 22/4 = 33/4 = 8 1/4
Answer:
the first selection (see below)
Step-by-step explanation:
The average rate of change (m) on the interval [x1, x2] is given by ...
... m = (g(x2) -g(x1))/(x2 -x1)
For g(x) = -x²-4x and (x1, x2) = (6, 8), the expression is the one attached.
The right answer would be.
The measure of the angle formed by the radius and the apothem is 30 degrees.
In a regular hexagon, the radius and side length are equal in length.
The area of the hexagon is about 221.7 square cm.
Note :- If sample size n > 30 OR Population standard deviation σ is given then We use Z test.
If sample size n < 30 AND Population standard deviation σ is unknown then we use t test.
In this question we are not given Population standard deviations σ1 and σ2.
Also n1 = 14 and n2 = 13 both sample sizes are LESS than 30.
Therefore we use t test.
Given :- Assume the population standard deviations are equal. ( σ1 = σ2)
then Degrees of freedom = n1 + n2 - 2 = 14 + 13 - 2 = 25.
(kindly find the image attached with this solution)
Answer :- Therefore 25 degrees of freedom are used to find the t critical value.
