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.
In this question , we have to use compound interest formula, which is

Here Amount after 3 years = $133.10
Rate of interest = 10%=0.1
TIme =3 years
So we get

Now we have principal, P = $100,
Rate of interest, r =0.1
Time, t = 5 years
So we will get

So the balance after 5 years will be $161.05 .
Answer:
image = A = 35×35
preimage = B = 28×28
Scale factor = image/preimage
=

=

= 25/16
=
Answer:
B. 18
Step-by-step explanation:
Her first two arrows landed on the same circle with 14 points. This means that 1 arrow in that circle = 7 points.
The second time, one arrow landed on the circle that carry 7 points per arrow, and the next inner circle would carry = 16 - 7 = 9 points
Therefore, if in her third throw, the two arrows landed in the inner circle that has 1 arrow recording 9 points, she would get = 9*2 = 18 points