Answer:
x = -17/5
Step-by-step explanation:
Subtract 7 from both sides
5x= -10-7
Simplify -10 - 7 to -17
5x = -17
Divide both sides by 5
x= -17/5
Decimal Form: -3.4
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:
7(-4 - x) = -28 - 7x
-7(4 - x) = -28 + 7x
7(4 + x) = 28 + 7x
-7(-4 + x) = 28 - 7x
Step-by-step explanation:
To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.
Thus:
✔️7(-4 - x) = 7(-4) +7(-x)
= -28 - 7x
✔️-7(4 - x) = -7(4) -7(-x)
= -28 + 7x
✔️7(4 + x) = 7(4) + 7(+x)
28 + 7x
✔️-7(-4 + x) = -7(-4) -7(+x)
= 28 - 7x
An arithmetic sequence is that in which the consecutive terms share or have the same difference commonly referred to as the "common difference". The terms in the arithmetic sequence always starts with the term 0 or the initial value. In this item, the value of n should be greater than or equal to. Therefore the answer is the second choice.
If we are to get the first term of the arithmetic sequence, it will become,
first term:
a0 = (-1) + 7(0 - 1) = -8
Therefore, the first term is equal to -8.
I don’t know what day is it