Answer:
H0 : P = 0.72
H1 : P > 0.72
Step-by-step explanation:
Claim is to test that percentage of customers who leave a review is greater than 72%
From the information given :
P0 = 72/100 = 0.72
The null hypothesis, H0 : P = 0.72
Alternative hypothesis claims the proportion is greater than 0.72 and from the sampling result obtained, phat = 0.90
Hence,
Alternative hypothesis, H1 : P > 0.72
Hello! So to solve this question, we can write and solve a proportion. We write the proportion as change/original = x/100, where change is the distance between two number and the original is the previous number. Percents are parts of 100, so x is a percentage out of 100%. 1,435 - 1,220 is 215. Now, set it up like this.
215/1,435 = x/100
Cross multiply the values to get 21,500 = 1,435x. Divide each side by 1,435 to isolate the "x". 21,500/1,435 is 14.9825783972 or 15 when rounded to the nearest whole number. The percent change in the number of 8th graders is about 15%.
Answer:
Step-by-step explanation:
It would be easier to just show you.
Because we're using variables, I'm going to plug in a random set of numbers to stand for x and y.
(x+y)^2
(2+4)^2=36
vs.
x^2+y^2
2^2+4^2=20
The difference is because, following the order of operations, in the first situation you must first take care of what is in the parenthesis, which means you add x and y together-then you multiply that combined number by the 2nd power. Whereas in the second situation, you multiply x and y by the 2nd power separately, and then add the product of that together. So opposite order. In the first situation you add, then multiply. In the second, you multiply then add.
Answer:
y = 11
Step-by-step explanation:
We use the definition of Supplementary Angles and Adjacent Angles.
Step 1: Set up equation 1 (Definition of Supplementary Angles)
5x - 4 +7x - 8 = 180
Step 2: Solve for <em>x</em>
12x - 4 - 8 = 180
12x - 12 = 180
12x = 192
x = 16
Step 3: Plug in <em>x</em>
5(16) - 4
80 - 4
76°
Step 4: Set up equation 2 (Definition of Supplementary Angles)
76 + 9y + 5 = 180
Step 5: Solve for <em>y</em>
9y + 81 = 180
9y = 99
y = 11