How can i simplify this function? Y=8x+5-2x-1. Please help me.
1 answer:
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Answer:
right-handed gloves and
left-handed gloves were sold.
Step-by-step explanation:
Given: In one month, gloves were sold for a total revenue of
.
right-handed gloves cost and left-handed gloves cost
.
To find: How much of each type of gloves did they sell?
Solution: Let they sell right-handed gloves, and
left-handed gloves.
Now, cost of each right-handed gloves
cost of each left-handed gloves
Total revenue
So, we get
Also, in a month gloves were sold.
So, we get
Now, from we get,
.
Putting in equation
, we get
Now, putting in equation
, we get
Hence, right-handed gloves and
left-handed gloves were sold.
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.