Answer:
Mean:6
Mad:2.29
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Substitute x = 2 and y = 2 into both equations and if both are true then (2, 2) is a solution of the system.
y = x, that is
2 = 2 ← True
x + 2y = 6, that is
2 + 2(2) = 2 + 4 = 6 ← True
Thus (2, 2) is a solution of the system
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer:
Yes, I can reject the null hypothesis with 95% confidence.
Step-by-step explanation:
Critical value t(63) = 1.99
p-value = 0.03
Confidence level (C) = 95% = 0.95
Significance level = 1 - C = 1 - 0.95 = 0.05
Conclusion:
Reject the null hypothesis because the p-value 0.03 is less than the significance level 0.05.
Answer:
Option A. The average number of crisps per can of Pringles is less than 100.
Step-by-step explanation:
We are given that the member of consumer group is wants to determine whether the average number of crisps per can of pringles is less than the average number of crisp mentioned in an advertisement whereas average number of crisp mentioned in an advertisement are 100 crisps per can. We know that the null hypothesis always contains equality and alternative hypothesis is contrary to the null hypothesis. Thus, the alternative hypothesis would be that the average number of crisps are less than 100 per can. So, the formed hypothesis are
Null hypothesis: The average number of crisps per can of Pringles is 100.
Alternative hypothesis: The average number of crisps per can of Pringles is less than 100.
