<span>The measure of one angle of a triangle is 108. The measures of the other two angles are in a ratio of 1:5
108 + x + 5x = 180</span>
Answer:
Definetely, it is reasonable. You may assume that a pet as a companionship will help the elderly feel more comfortable and therefore, happy. There are a few problems tough:
- There is no practical way of meassuring 'happiness'.
- Sometimes, the correlations of two factors may be a coincidence. Scientist should always consider this when they try to claim something byusing some backup logic, like we did.
- Even tough the statement makes some sense, you need to be aware that maybe is not completly positively correlated. Maybe having 20 more pets does not make an elderly happy if it alredy had 1 or 2.
Answer:
36
Step-by-step explanation:
Plug in -7 as m and 2 as n into the expression:
4 | m - n |
4 | -7 -2 |
Solve:
4 | -9 |
4(9)
= 36
Answer:
1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.
2) between 20 and 25 --> 21-25/2.9 = -1.38
Step-by-step explanation:
Problem #1:
- Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.
<h3><u>X < 20</u></h3>
- = z = 20 - 21/2.9/√25
- = z = -1/2.9/5
- = z = -1.72414
<h2><u><em>Now</em></u></h2>
<em>P-value from Z-Table:</em>
<h3><u>P(x<20) = 0.042341</u></h3>
Problem #2:
<h3>21-25/2.9 = -1.38</h3>
So we can call first number "n"
Then all five integers would be n, n+1, n+2, n+3, n+4
So sum of them would be 5n + 10 = 100
Now you can solve for n:
5n + 10 = 100
5n = 90
n = 18
Verify: 18 + 19 + 20 + 21 + 22 = 100. All good.
So answer is 18