Answer: t = 1.9287
Step-by-step explanation:
Let be the average number of pages should be sent by 2-day mail instead.
As per given we have,
Sample mean :
Sample standard deviation : s=3.81
sample size : n= 24
Since , the sample size is less than 30 and populations standard deviation is unknown , so we use t-test.
The test statistic for population mean :-
Hence, the test statistics : t = 1.9287
Answer:
we have
f(x)=x-6f(x)=x−6 -----> equation A
This is a linear equation with slope m=1m=1 and a y-intercept equal to -6−6
g(x)=x+6g(x)=x+6 -----> equation B
This is a linear equation with slope m=1m=1 and a y-intercept equal to 66
The function f(x) and g(x) are parallel lines
we know that
h(x)=f(x)+g(x)h(x)=f(x)+g(x)
Substitute
h(x)=x-6+x+6h(x)=x−6+x+6
h(x)=2xh(x)=2x
This is a linear equation with slope m=2m=2 that passes through the origin ( represent a direct variation)
Using a graphing tool
see the attached figure
Part 1:all triangles have a measure of 180 degrees
so, 3(x+2)+35+52=180
add 35 and 52; 3(x+2) +87=180
subtract 87 from both sides; 3(x+2)= 93
divide both sides by 3; x+2=31
subtract both sides by 2; x=29
Part 2: since 3(x+2) =93, angle C is 93 degrees
You can try by plugging each ordered pair and seeing if the equation comes out true.
(5, 1)
2 * 5 - 1 = 9
That's correct so C is the correct answer.
Answer:
1) 34.5°
2) 0.25(180-B)=D
Step-by-step explanation:
180-42=138
1/2x138=69
1/2x69=34.5
0.25(180-B)=D