Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.
<h3>How to find a proportion in a t-distribution?</h3>
The proportion is found using a calculator, with three inputs:
- The tail of the test, if it is left, right, or two-tailed.
- The amount of degrees of freedom.
In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.
More can be learned about the t-distribution at brainly.com/question/16162795
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Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3 + 2x)(2 +2x) = 8
The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
Answer:
-12.5
Step-by-step explanation:
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Answer:
y=-5/2+x
Step-by-step explanation:
320-70= 250
250X1/2=125
X=125