Given that ΔUVW is similar to ΔXYZ, find the length of ZX.
2 answers:
Answer:
D. 20
Step-by-step explanation:
We have been given that ΔUVW is similar to ΔXYZ and we are asked to find the length of ZX.
Since both triangles are similar, so their corresponding sides will be proportional. We will use proportions to solve our given problem as:
Now, we will multiply both sides of our equation by 5.
Therefore, the length of ZX is 20 units and option D is the correct choice.
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Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that
Value of the test-statistic:
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.