Step-by-step explanation:
#12
PQ = 6x + 25
QR = 16 - 3x
PR = 6x + 25 + 16 - 3x
PR = 3x + 41
#1
D = √(-4 - 5)² + (-7 - 2)²
D = √(-9)² + (-9)²
D = √81 + 81
D = √162
D = 9√2
Answer:
I got this one
<n would equal 20, <m would equal 50
Answer:
Z = -1.789
P value = 0.036807
Step-by-step explanation:
Here
H0: p = 0.85 students will have access to the internet at home
Ha: p < 0.85 students will have access to the internet at home
As per the given data, out of 120 sampled students, 95 have access to internet at home
This is 79.17 % of the total number of sampled students.
The Z values is given by

Substituting the given values, we get -

The sample proportion of 0.7917 is about -1.789 standard errors below the population proportion given in the null hypothesis.
Considering, result is significant at p < .05, the P-Value is .036807.
Answer:
f(g(7)) = 22
Step-by-step explanation:
First find the general form of the new equation, f(g(x)):
f(x)=3x + 2
g(x)=x - 1/3
f(g(x)) = 3(x - 1/3) + 2
You can simplify that, or alternatively just plug in 7 now and solve:
f(g(7)) = 3(7 - 1/3) + 2
f(g(7)) = 3(20/3) + 2
f(g(7)) = 20 + 2
f(g(7)) = 22
Since the area of the rectangle is 30, we know the following:
(5)(x-2) = 30
Divide both sides by 5
x-2 = 6
Add both sides by 2
x = 8
That's your answer.
Have an awesome day! :)