Answer:
Eric practiced the piano for 2 hours this week
Step-by-step explanation:
If it tells us that Eric spent 1/4 of the time playing the piano and all the time he practice this week was 8 hours, then we have to multiply the 8 hours by 1/4
p = time he practice piano
p = 8h * 1/4
p = 2h
Eric practiced the piano for 2 hours this week
Null Hypothesis,
: The heart transplant operation had no impact on the patient's survival rates. Alternative Hypothesis,
: It was asserted that recipients of heart transplants had a higher chance of surviving than recipients of organs from other donors.
The large distribution from binomial, Poisson, etc. is approximated by the normal distribution. Furthermore, the variables are discrete and few, and we are working with counted data rather than real observations. Chi-square distribution should be used in the current scenario. We can determine if the two groups are the same or different by using the chi-square test. As a result, a confidence interval cannot be created.
In other words, the Null Hypothesis is true if the average for the two groups (control and treatment) is equal. In the alternative theory, The averages for the two groups (control and treatment) are different.
To learn more about confidence intervals:
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<h3>
Answer: y = (1/2)x + 5/2</h3>
Work Shown:
y - 3 = (1/2)(x-1)
y - 3 = (1/2)x - 1/2 .... distribute
y = (1/2)x - 1/2 + 3 .... add 3 to both sides
y = (1/2)x - 1/2 + 6/2 ... rewrite 3 as 6/2
y = (1/2)x + 5/2
This is in y = mx+b form
m = 1/2 = 0.5 is the slope
b = 5/2 = 2.5 is the y intercept
Side note: the original equation is in point slope form. The point we can read from this equation is (1, 3)
Answer: the answer is 66
Step-by-step explanation:
Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3
![\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B%5Csqrt%7B3%7D%7D%20%3D%20%5Cfrac%7Bb%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D)
= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3