25% is being taken off the original price, p, of each patio chairs.
That means the price of each patio chair is the full price, p, minus <span>25% of the original price.
1) To find 25% of the original price, multiply p (original price) by the decimal form of 25%, or 0.25. That means 25% off original price = 0.25p.
2) Now subtract 0.25p from the original price of the chairs to find the price of each (1) chair. p - 0.25p
Shylah is buying 4 chairs at that discounted price. That means you need to multiply the discounted price, </span> p - 0.25p, by 4. Shylah is paying 4(p-0.25p) total for the 4 chairs, which is answer choice B.
Since you can choose more than one choice, you can simplify 4(p-0.25p) by subtracting what is in the parathesis, then multiplying, following the order of operations:
4(p-0.25p)
= 4(0.75p)
= 3p
That is answer choice A.
--------
Answer: Choices A and B, <span>3p and 4(p−0.25p).</span>
Answer:
1) p1=0.83
2) p2=0.81
3) Option B
4) p=0.82
5) s=0.03
6) z=0.67
7) P=0.50
8) Do not reject H0
Step-by-step explanation:
1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

4) The pooled estimate of a proportion is the average of both proportions:

5) The standard error can be calculated as:

6) The z-statistic can be calculated as:

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.
There is not enough evidence to say that both proportions are different.
A. Do not reject H0
Let us assume number of n.
The number is decreased by 15.
Decreasing by 15 means, we need to subtract 15 from that number.
So, it would be come n-15.
Now, it is said that the number would become less than 2.
So, we need to setup an inequality:
n-15 is less than 2.
<h3>n-15 < 2 : required inequality .</h3>
Adding 15 on both sides, we get
n-15+15 < 2+15
n < 17.
<h3>So, we could say the number would be less than 17.</h3>