Answer:
Step-by-step explanation:
Find the Supplement to 101
Supplementary angles = 180 degrees
180 = 101 + unknown Subtract 101 from 180
unknown = 79
Because the upper triangle is marked as having 2 equal sides, the left angle is also 79 degrees,
Now the vertex angle is 79 + 79 + y = 180 All triangles have 180 degrees
158 + y = 180 Subtract 158 from both sides
y = 180 - 158
y = 22
y is vertically opposite the vertex angle of the lower triangle. Both the sides are marked as equal, so the angles opposite them are equal as well.
x + x + 22 = 180 Combine
2x + 22 = 180 Subtract 22 from both sides.
2x = 180 - 22
2x = 158 Divide by 2
x = 158/2
x = 79
Answer:
b)4^0
d)4^3/4^3
Step-by-step explanation:
a)4^-1
1/4 = .25
b)4^0
Anything to the zero power is 1
1
c)4^1
4
d)4^3/4^3
This is a/a = 1
a
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:

Step-by-step explanation:
The x intercepts are basically the points at which y = 0.
-x^2 + 2 = 0
-x^2 = -2
x^2 = 2
x = 