Answer:
Step-by-step explanation:
Given that a hypothesis test (right tailed) was conducted for comparing sample mean with population mean.
Sample size n = 25
Population std dev = 
Std error of sample mean = sigma/sqrt n = 3.2/5 = 0.64
Sample mean = 13.4
Mean difference = 13.4-12.6 = 0.80
since population std deviation is known we can use Z test
Z= mean diff/std error = 1.25
a) p valu e= 0.10565
= 0.1057
b) Since p value is >0.10 accept H0.
C. Do not reject H0 since the p-value is greater than 0.10
c) If n =100, then we have std error of mean = 1/2 original = 0.32
Test statistic = 0.8/0.32 = 2.5
p value = 0.00621
d) Here since p <0.10, we reject null hypotehsis
B. Reject H0 since the p-value is smaller than 0.10
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
</span>1) Square all 3 sides.
2) Sum the squares of the 2 shortest sides.
3) Compare this sum to the square of the 3rd side.
if sum > 3rd side² Acute Triangle
if sum = 3rd side² Right Triangle<span>
if sum < 3rd side² Obtuse Triangle
1) 1,296 2,401 3,600
2) Sum = 3,697
3) </span><span>3,697 is greater than 3,600
Therefore, the triangle is acute.
Source:
http://www.1728.org/triantest.htm
</span>
First we need to see the pythagorean formula which is
Substituting the given values of a,b , we will get
And
So we have
So the given triangle is a right triangle .
Answer:
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Step-by-step explanation:
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Answer:
No, 4+5(6t+1) EQUALS 9+30t
And 9+30t Equals 3(3+10t)
Step-by-step explanation:
GCF=3
3(9/3 + 30t/ 3) =
3(3+10t)
And
4+5(6t+1)
4+30t+5
30t+ (4+5)
Simplifying =
30t+9
