Answer:
32
Step-by-step explanation:
even numbers are 2,4,6,...,78
it is an A.P.
first term a=2
c.d. d=4-2=2
an=a+(n-1)d
78=2+(n-1)2
76=(n-1)2
n-1=76/2=38
n=38+1=39
now we take multiples of 10
10,20,30,...,70
70=10+(n-1)10
60=(n-1)10
n-1=60/10=6
n=6+1=7
so reqd. number of numbers=39-7=32
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
- population has to be normal
- sample size has to be more than 30. we have sample size = 52 in this question.
3.
= 
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
Answer:
63+48= 3(21+16)
Step-by-step explanation:
Check answer:
Distribute 3(21+16)
3(21)+3(16)
63+48
If a spherical water tank has a diameter of 10 feet, it will hold approximately 261.66 cubic feet when it is half full. The correct answer is A.
Answer:
117 degrees
Step-by-step explanation:
So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.
