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:
177,100 ways
Step-by-step explanation:
Step-by-step explanation:
let (5,-5) =(x1,y1)
from eqn y=3/2x+3
slope (m)=3/2
now,
eqn in slope intercept form is;
(y-y1)=m (x-x1)
- (y-5)=3/2 (x+5)
- 2 (y-5)=3 (x+5)
- 2y-10=3x+15
- 3x-2y+25=0 is required eqn
Since angles 3 and 2 are congruent, angle 2 is 112 degrees. Also, because angles 2 and 1 are vertical angles, they'll have the same measurement.
So m<1=112 degrees
Your equation is 3(8-4)+2*5.5
you want to follow PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtaction
so first you will solve the parenthesis (8-4) = 4
put it into your exquation
3(4)+2*5.5
now the next thing we have is multiplication
3(4) = 12
2*5.5 = 11
now plug it into the equation
12+11=?
now you just do the addition
your answer should be
A. 23