Answer:
The answer would be A.
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Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle , that is
3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )
= 11x + 3
Given the perimeter = 36 units , then
11x + 3 = 36 ( subtract 3 from both sides )
11x = 33 ( divide both sides by 11 )
x = 3
Then
base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units
height = 3x = 3(3) = 9 units
hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units
Answer:
The discriminant is 40
Step-by-step explanation:
First, rewrite the equation as so that the equation is in the form of . Thus, the discriminant is . This tells us that since the discriminant is greater than 0, then there are 2 real solutions.
Since they’re both in standard form and they both say that y is equal to something, you just have to set them up with one another
2x-10=4x-8
Subtract 2x
-10=2x-8
Add 8
-2=2x
Divide by 2
-1=x
x=-1
Check it by inserting it
2(-1)-10=4(-1)-8
-2-10=-4-8
-12=-12
So x=-1 is the answer
Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So
has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics