Answer:
(1,155, 1.545).
Step-by-step explanation:
From Normal distribution tables the z score for 95% CI = 1.96.
Confidence Interval
= 1.35 +/- 1.96 * 0.63/√40
= 1.35 +/- 0.195
= (1,155, 1.545).
Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
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Answer:
5
Step-by-step explanation:
Answer:
m<HGI=21°
Step-by-step explanation:
we know that
If GH bisects m<FGI then
m<FGH=m<HGI
substitute the values
(2x+1)°=(3x-9)°
solve for x
3x-2x=1+9
x=10°
The measure of angle HGI is equal to
(3x-9)° ------> substitute the value of x
3*10-9=21°
m<HGI=21°
