Answer:
5 inches
Step-by-step explanation:
See attachment for explanation.
Answer:
No
Step-by-step explanation:
According to the Inequality Theorem, the sum of 2 side of a triangle must always be longer than the third one. 4 + 6 = 10 which is not larger than 11.
Answer:
Reject at 5%, accept at 1% the null hypothesis
Step-by-step explanation:
Set up hypotheses as
(Left tailed test)
Population std dev = 6
Sample std error =
Mean difference = -1.5
Since sigma is known we can use Z test
Z = mean diff/std error = -1.7533
p value = 0.039
a) Since p value <0.05 we reject H0. There is evidence that the true mean is different from 60 wpm
b) Yes, because his sample would have been biased since he may want to prove his belief so slow or inefficient persons he would have selected in the sample.
c) For 99% confidence interval critical value = 2.58
Confidence interval for population mean = 58.5±2.58*std error
=(56.2928, 60.7072)
Since this contains 60, the hypothesized mean, we accept null hypothesis.
we do not have evidence to reject the claim that the average graduate can type 60 wpm at 1% level of significance.
Answer:
18.03
Step-by-step explanation:
So first David went 200m west. I drew a line that went to the west. Next he went 125m north. I drew a line that went north. The question is asking you how far away he is from his starting point. I drew a triangle and connected those two points from where he began. So to find the length or missing side, you need to use an equation known as the pathaegorean theorem. A²+ B²+ C². 125+200 is 325. The square root of 325 is 18.0277. However, they ask us to round to the nearest hundredth. So that number would you round to 18.03 ( since the seven makes the two go up).