I saw this same type of question and page but with different numbers just 5 minutes ago...
Anyway here’s the answers:
1) Complementary
3x+1+44=90
3x+45=90
3x=45
x=5
2) Vertical
Ignore everything about the work. The answer is 120 degrees because they’re vertical angles.
3) Supplementary
15x-5+110=180
15x+105=180
15x=75
x=5
And I can’t see the last question clearly
Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Answer:
x= -1.16
Step-by-step explanation:
Answer:
The coin toss does not appear to be fair
Step-by-step explanation:
From the question we are told that
The sample size is 
The number of game won by team that won the coin toss at the beginning of overtime 
The level of significance is 
The population proportion is evaluated as
Since the population proportion is 0.485 
0.5 which implies that the coin toss is fair then
The Null hypothesis is
and The Alternative hypothesis is
The test statistics is evaluated as follows
![t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }](https://tex.z-dn.net/?f=t%20%20%3D%20%5Cfrac%7B%5Bx%20%20%2B%20p%5D%20-%20%5B%5Cfrac%7Bn%7D%7B2%7D%20%5D%7D%7B%5Cfrac%7B%5Csqrt%7Bn%7D%20%7D%7B2%7D%20%7D)
substituting values
![t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }](https://tex.z-dn.net/?f=t%20%20%3D%20%5Cfrac%7B%5B194%20%20%2B%200.485%5D%20-%20%5B%5Cfrac%7B400%7D%7B2%7D%20%5D%7D%7B%5Cfrac%7B%5Csqrt%7B400%7D%20%7D%7B2%7D%20%7D)
=> 
now the critical value of 
for a two tail test(it is two tailed because we are test whether the critical value is less than or greater than the test statistics ) is
This is usually found from the critical value table
Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is rejected
This means that the coin toss is not fair
Answer:
the answer is x=-1
Step-by-step explanation:
