8x=24 which is 3 so x = 3
4y=24 which is 6 so y = 6
(3,0) for x and (0,6) for y
<span>What is the arc length when Θ=3 pi/5 and the radius is 7 cm?
</span><span>Here are the available answers...
21pi/5 cm
12pi/5 cm
6pi/5 cm
3pi/35 cm
</span>
Given:
arc length = theta * radius
arc length = (3 pi/5)(7cm)
arc length = 21pi/5 cm Answer is the 1st option.
Answer: y=-3x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b. So to make your equation into slope-intercept form, simply subtract 3x from both sides, which results in y=-3x+5
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the population mean.
As per given , we have

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given
, so we perform one-tailed z-test.
Test statistic : 
, where
= Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 ,
,
,
, we have

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
Answer:
5
Step-by-step explanation:
The side with 4 cubes has a length of 2, the side with 2 cubes has a length of 1, and the side with 5 cubes has a length of 2.5.
2 x 1 x 2.5 = 5