Answer:
There is 8% (P=0.08) that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.
Step-by-step explanation:
We have one-sample z-test with a significance level of 0.08 and a power ot the test of 0.85.
In this test, the null hypothesis will state that the new equipment has the same productivity of the older equipment. The alternative hypothesis is that there is a significative improvement from the use of new equipment.
The probability that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect is equal to the probability of making a Type I error (rejecting a true null hypothesis).
The probability of making a Type I error is defined by the level of significance, and in this test this value is α=0.08.
Then, there is 8% that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.
Answer:
63in is your answer
Step-by-step explanation:
1. find the volume of the rectangular prism.
V=LxWxH
V=3 x 2 x 6
V=36
2. Find the volume of the Triangular prism
V= 3 x 3 x 6 / 2 ( you have to divide by 2 because the base is a triangle)
V= 54 /2
V=27
3. ADD both Volume
36 + 27= 63 in.
Hope this helps.
Answer:
area = 44 cm²
Step-by-step explanation:
rectangle area = bh = 8 x 4 = 32 cm²
triangle height² = 5² - 4³ = 25 - 16 = 9
triangle height = 3
triangle area = 1/2bh = 1/2(8)(3) = 12 cm²
32 cm² + 12 cm² = 44 cm²
area = 44 cm²
W= width L= length = 2W
Area of Rectangle= Length * Widthsubstitute the area and the value of L in the formula
28,800 m^2= 2W * W
28,800= 2W^2divide both sides by 2 in an effort to isolate the variable w
14,400= W^2take the square root of both sides
√14,400= W^2
we want the negative and positive root of the radicand (the number under the radical symbol - 14,400 in this case)
120= w OR -120= w
LENGTHL= 2W= 2(120)= 240 meters
ANSWER: The side lengths are W= 120 m; L= 240 m. Even though W= -120 too, it is not a valid solution in this case since a field cannot have a negative value.
Hope this helps! :)
