Answer:
Check Explanation
Step-by-step explanation:
a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence
0.29938661 < p(japan) < 0.46984416
mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.
b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.
c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).
0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.
Hope this Helps!!!
Because line QS is outside the circle and only touches it at point S the line is a tangent line
2 batches:1/4 which is 25 min.
so 1 batch would be half of that.
So just divide 25 by 2, which would get you 12.5
12 minutes, and 30 seconds.
Hope this helped~
There are 3 cups of pancake mix in the bowl
Check if there is a giggle throughout the full equation, since there isn’t, we group the equation and we get
(4ax-10bx)+(6ay-15by)
Factor out the gcf of the two groups
2x(2a-5b)+3y(2a-5b)
Not sure how to explain this step in words but so do this
(2x+3y)(2a-5b)
The solution is (2x+3y)(2a-5b)