for that two lines be parallel the condition is that two slope be equal m1 = m2
Now you must calculate with point givens both slope , with the following formula
m= y2-y1/ x2-x1, for the firsts two points P( -7,0) and Q( 6,-5)
m = -5-0/6-(-7) , m = -5/13
for the seconds points R (-1,-1) and S( 0,-4)
m = -4-(-1)/ 0-(-1) = -3/1 = -3
the lines are not parallel, m1 ≠ m2
Answer:
45
90
135
180
225
Step-by-step explanation:
It represents a function because each element in the domain is matched with exactly one element in the range.
If , then which means and must be inverses of one another, so and , so must be invertible.
Answer:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
See explanation below.
Step-by-step explanation:
Develop the null and alternative hypotheses for this study?
We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Let's assume that the calculated statistic is
Since is a right tailed test test the p value would be:
And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that
And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
So we want to perform a change of units for the weight of a box of cereal. We will see that it weighs 12 ounces.
We know that it weighs 0.75 pounds, and we want to know how many ounces it weighs.
And we know that:
Then we can rewrite the weight as:
W = 0.75 lb = 0.75*( 1 lb) = 0.75*(16 oz) = 12 oz
So the box of cereal weighs 12 ounces.
If you want to learn more, you can read:
Answer:
24
Step-by-step explanation:
one cup is 8 ounces times three is 24