What we're dealing with is the Distributive Property. This allows any number/variable outside of a parenthesis to multiply by all numbers/variables inside of the parenthesis.
For example:
2(1 + 3)
2(1) + 2(3)
2 + 6
8.
Now that we've broken down what we're dealing with, let's try to solve.
-3(b + 19) = -12
-3(b) + -3(19) = -12
-3b -57 = -12
Add 57 to both sides to get -3b by itself.
-57 + 57 = 0
-12 + 57 = 45
-3b = 45
Divide both sides by -3 to solve for b.
-3b / -3 = b
45 / -3 = -15
b = -15
I hope this helps! PM me if you need help understanding.
You have to solve this integral
That integral is easy to solve:
525600[0.42 t^3/3 + 2.7t^2/2 - t] eavluated between the limits of the integral, i.e. 7 and 0.5
Answer:
80 minutes
Step-by-step explanation:
Work done by Mark in 1 minute = 1/120
Work done by Alexis in 1 minute = 1/240
Work done by Mark and Alexis in 1 minute = 1/120 + 1/240
They both can load all the packages in 80 minutes.
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!!!
Answer:
C
Step-by-step explanation:
it is C
