Answer:
The 99% confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
Given that confidence is 99% then the level of significance is mathematically represented as
Next we obtain the critical values of 
from the normal distribution table
The value is
Generally the margin for error is mathematically represented as
=> 
=> 
The 99% confidence interval is mathematically represented as
=> 
=>
Answer: 59
Step-by-step explanation:
-7 (-6) + 17 (multiply -7 and -6)
= 42+17 (simplify)
=59
Answer:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0)
Step-by-step explanation:
The attached graph is an example of the square root function scaled and translated.
_____
No transformation of the square root curve will turn it into a parabola or into two curves.
To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.
10.
-8x - 16
8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.
Factor out a -8:
-8x - 16 = -8(x + 2)
To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.
11.
w^2 - 4w
The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.
w^2 - 4w = w(w - 4)
12.
4s + 10rs
4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s
4s + 10rs = 2s(2 + 5r)
Answer:
s is a fraction and an integer
s= -⅘ and s=4
