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NickWinston8712
24.05.2021 •
Mathematics
Kim is competing in a 40-mile bicycle race. She has completed 65% of the race. How many miles does Kim have left to cycle? A. 12 miles B. 14 miles C. 26 miles D. 28 miles
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Ответ:
Neutron stars can be dangerous because of their strong fields. If a neutron star entered our solar system, it could cause chaos, throwing off the orbits of the planets and, if it got close enough, even raising tides that would rip the planet apart. But the closest known neutron star is about 500 light-years away.
Step-by-step explanation:
Ответ:
She completed 65% so she has 35% more to go. ( 100% - 65% = 35%)
Multiply the length of the race by the percentage left:
40 x 0.35 = 14
She has 14 miles left.
The answer is B. 14 miles
Ответ:
Step-by-step explanation:
Hello!
Y: sales of a product in a marketing district (million dollars)
X: population in a marketing district (million persons)
The objective is to test if there is a linear association between the sales of a product and the population of a marketing district.
Parameter; Estimated Value; 95 Percent Confidence limits
Intercept 7.43119 -1.18518 16.0476
Slope 0.755048 0.452886 1.05721
a.
To test if there is or not an association between these two variables, you have to do a hypothesis test for the slope. If the slope is equal to zero, there is no linear association between the two variables, if the slope is different from zero, then there is a linear association between the variables.
So the student's hypotheses are:
H₀: β = 0
H₁: β ≠ 0
The data the student used to conclude is the 95%CI for the slope [0.452886;1.05721]
To be able to decide over an hypothesis test using a confidence interval there are several conditions to be met, one of them is that the confidence level and the significance level should be complementary, this means that if the interval was constructed using 1 - α= 0.95, then the hypothesis test should be conducted with a significance level of α= 0.05.
Considering that the value of the slope stated in the null hypothesis is not included in the given interval, i.e. zero is not included in the CI, then the decision is to reject the null hypothesis.
Then it can be concluded that there is a linear association between the sales of a product and the population in a marketing district.
b.
Although in the context of the variables of study it makes no sense that the estimate of the intercept takes negative numbers, keep in mind that mathematically if possible and correct. This means that obtaining a negative estimate of the intercept does not represent a calculation error or problem for the regression model. In general, when this occurs, a footnote is made indicating has no biological meaning or sense in context.
After all, what you have done with the estimate is a mathematical assertion of the social variables.
I hope it helps!