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2 answers:
Answer:
With given side lengths a triangle <u>could not</u> be created.
Step-by-step explanation:
Given:
First side length = 7.7 cm
Second side length = 4.0 cm
Third side length = 1.7 cm
We need find whether this could be the side length of the triangle.
Solution:
Now we know that;
By Triangle In equality property which states that;
"Sum of the two side length of the triangle must be greater than third side."
It should fulfill all three conditions;
So we will find the same.
Condition 1:
First Side + Second Side > Third side
Hence This condition is true.
Condition 2:
Second side + Third Side > First side
Hence This condition is False.
Condition 3:
First side + Third Side > Second side
Hence This condition is true.
Since One of the condition is false hence With given side lengths a triangle could not be created.
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Answer:
C. x² − 8x + 24 − 72/(x+3)
Step-by-step explanation:
See attached picture for long division method.
Logically, we know x³ − 5x² factors to x² (x − 5). Since x + 3 isn't a factor, we know the remainder isn't 0. So we can narrow the options down to A or C.
One way to find the remainder is through long division. Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².
(x + 3) (x² − 8x + 24 − 72/(x+3))
(x + 3) (x² − 8x + 24) − 72
x³ − 8x² + 24x + 3x² − 24x + 72 − 72
x³ − 5x²
Answer with explanation:
Given : Sample mean =
Standard deviation :
Sample size : n = 36
Claim :
∴
Since the alternative hypothesis is two tail , then the test is two tail test.
By using a z statistic and a 0.05 level of significance. Reject if z < -1.960 or is z> 1.960.
Then , the test static for population mean is given by :-
We reject since
. We have statistically significant evidence at
to show that the mean amount of garbage per bin is not different from 50.