Answer:
B
Step-by-step explanation:
Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .
Answer:
2.5 times faster
Step-by-step explanation:
The cost per hour of method 1 is $25, while the cost per hour of method 2 is $10. In order for method 1 to be the better method, it must have a productivity, in units per dollar, that is equal or greater than the productivity of method 2:
![A\frac{units}{hour} *\frac{hour}{\$25} \geq B\frac{units}{hour} *\frac{hour}{\$10}\\0.04A\geq 0.1B\\A \geq 2.5 B](https://tex.z-dn.net/?f=A%5Cfrac%7Bunits%7D%7Bhour%7D%20%2A%5Cfrac%7Bhour%7D%7B%5C%2425%7D%20%5Cgeq%20B%5Cfrac%7Bunits%7D%7Bhour%7D%20%2A%5Cfrac%7Bhour%7D%7B%5C%2410%7D%5C%5C0.04A%5Cgeq%200.1B%5C%5CA%20%5Cgeq%202.5%20B)
The productivity A of method 1, in units per hour, must be 2.5 times greater than the productivity of method 2, which means that method 1 needs to be 2.5 times faster than method (2) to be the better method.
45cm
find the GCD of 210, 245 and 315
Answer:
Kindly check explanation
Step-by-step explanation:
The alpha level set at the beginning of of an experiment is used by the researcher to the limit the probability if making a type 1 error. The type 1 error is committed when a true null hypothesis is incorrectly rejected.
The type 2 error on the other hand is committed when fail to reject a false null hypothesis.
Hence, in other to forestall the risk of incorrectly rejecting a true null hypothesis, the alpha level is set.
When critical region is split across both tails of the distribution, The z-score boundaries at an alpha level α = .05
α = .05 (95% confidence level)
When region is split into 2:
α/2 = .05/2
α/2 = 0.025
Loooking up the z table for the Zscore with probability of 0.025
Zscore = ±1.96
Through settlement houses, political machines, and ethnic communities.