A similar triangle would probably have the same angles and vertices only in a different order
Answer:
m = 0 or slope = 0
Step-by-step explanation:
The standard error of the mean is given by:
![\frac{\sigma}{\sqrt[]{n}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)
where sigma is the standard deviation and n is the sample size. In this case the sample size is 10 and the standard deviation is 0.657, then the standard error is:
![\frac{0.657}{\sqrt[]{10}}=0.208](https://tex.z-dn.net/?f=%5Cfrac%7B0.657%7D%7B%5Csqrt%5B%5D%7B10%7D%7D%3D0.208)
Therefore the standard error is $0.208.
Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
3x + 4(x + 1) = 67
7x + 4 = 67
7x = 67-4 = 63
x = 9
The smaller integer is 9.
