Answer:
m<TVZ = 95
Step-by-step explanation:
2x+15+2x+5= 180
4x+20 =180
-20 -20
4x=160
x= 40
2x+15= m<TVZ
2(40)+15 = m<TVZ
80+15 = m<TVZ
95 = m<TVZ
To check:
2x+5= <WVZ
2(40)+5 = <WVZ
80+5 = <WZV
85+95 = 180
The two angles together should equal 180. Comment if you have any questions :)
Missing information, you didn't provide the matrix
Answer with Step-by-step explanation:
Since we have given that
Mean = 150
Standard deviation = 8.8
An admissions officer at a large graduate school believes the mean is less than 150.
a)Determine the null and alternative hypotheses.
So, hypothesis :
![H_0:\mu =150\\\\H_a:\mu\neq 150](https://tex.z-dn.net/?f=H_0%3A%5Cmu%20%3D150%5C%5C%5C%5CH_a%3A%5Cmu%5Cneq%20150)
b)Explain what it would mean to make a Type I Error.
As we know that Type 1 error are those errors in which null hypothesis is supposed to be rejected but not get rejected.
So, here, mean is not less than 150 but in actual it is less than 150.
c)Explain what it would mean to make a Type II Error.
As we know that Type II error are those errors in which null hypothesis is not supposed to be rejected but it gets rejected.
So, mean is less than 150 but actually it is not less than 150.
9514 1404 393
Answer:
678
Step-by-step explanation:
The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...
an = a1 +d(n -1)
For a1 = 12 and d = 9, this is ...
an = 12 + 9(n -1)
Using 75 for the value of n, we have ...
a75 = 12 + 9(75 -1) = 12 + 666 = 678
The 75th term is 678.
-8 and 7.
Use the quadratic formula or factor and set equal to 0.