The total angles in a polygon is 180 (n -2) where n is the number of sides.
A traingle has 3 sides. using the formula 180 x (3-2) = 180
So
X + Y + Y = 180
X + 2Y = 180 ...eq1
A pentagon has 5 sides, using the formula
180 x (5-2) = 540.
All the Y adds up to 540.
10Y = 540
Y = 54.
Use Y = 54 and sub into eq1
X + 2(54) =180
X = 180 - 2(54)
X = 180 -108
X =72
So X is 72
and Y is 54
We are given the following variables:
μ = the sample mean = 152 pounds
σ = the standard deviation = 26 pounds
x = the sample value we want to test = 180 pounds
n = the sample size = unknown
MOE = margin of error = 4% = 0.04
Confidence level = 96%
The first thing we can do is to find for the value of z
using the formula:
z = (x – μ) / σ
z = (180 – 152) / 26
z = 1.0769 = 1.08
Since we are looking for the people who weigh more than
180 pounds, therefore this is a right tailed z test. The p value is:
p = 0.1401
Then we can use the formula below to solve for n:
n = z^2 * p * (1 – p) / (MOE)^2
n = 1.08^2 * 0.1401 * (1 – 0.1401) / (0.04)^2
n = 87.82 = 88
Therefore around 88 people must be surveyed.
Answer:
(a)P(x>85.55)=0.02275
(b)
Step-by-step explanation:
We are given that
Average sales for an online textbook distributor per customer per purchase
,
$67.63
Standard deviation of the amount spent on textbooks,
$8.96
(a) We have to find probability for a randomly selected customer spent more than $85.55 per purchase.
=
=
=
P(x>85.55)=0.02275
(b)We have to find probability for a randomly selected customer spent less than $76.59 per purchase
The axis of symmetry of this function is x = 1. I hope this helps!
Answer:
D
Step-by-step explanation:
1. The domain is all x values for the function.
2. Since the line starts at the x value of 3, it is included and since it goes to the right, it also includes all the values greater than 3.
3. Therefore, x>_3
