UV is a <u>perpendicular</u> <u>bisector</u> of RT. A perpendicular bisector UV is a line that does two things:
- cuts the line segment RT into two equal pieces or bisects it;
- makes a right angle with the line segment RT (is perpendicular).
Consider an arbitrary point X on the line RT that differs from S. Connect points U, V and X to form triangle UVX. Line XS will be the height and the median of the triangle UVX. This gives you that triangle UVX will be isosceles triangle with base UV.
Answer: correct choice is D
Let's plug in x = 3 to find out. So we just replace every copy of x with 3 and simplify both sides
-3(x-4) > 6(x-1)
-3(3-4) > 6(3-1)
-3(-1) > 6(2)
3 > 12
The last inequality 3 > 12 is false. So the first inequality is false when x = 3. So 3 is NOT in the solution set.
Answer:
The random variables which has a distribution that can be approximated by a binomial distribution is:
c. The number of students in the sample who scored above average on the SAT.
Step-by-step explanation:
The binomial distribution in this scenario will be between the number of students in the sample who scored below average on the SAT and the number of students who scored above average. Variables that have a binomial distribution must meet these four conditions:
1: The observed number of students who sat for the SAT 'n' is not variable.
2: Each student's score (observation) is purely independent of each other, either above or below average scores.
3: Each student's score (observation) shows one of the two outcomes ("success" or "failure"). Those below average are "failures." Those above average are "successes."
4: The outcome probability of "success" 'p' for each student is the same.
Answer:
22.56
Step-by-step explanation:
1. We assume, that the number 94 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 94 is 100%, so we can write it down as 94=100%.
4. We know, that x is 24% of the output value, so we can write it down as x=24%.
5. Now we have two simple equations:
1) 94=100%
2) x=24%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
94/x=100%/24%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 24% of 94
94/x=100/24
(94/x)*x=(100/24)*x - we multiply both sides of the equation by x
94=4.1666666666667*x - we divide both sides of the equation by (4.1666666666667) to get x
94/4.1666666666667=x
22.56=x
x=22.56
The value of k in the equation p = km is 3.65
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How to find k using equation?
The value of k can be found as follows:
She bought two kids’ meals today for $7.30.
Yesterday, she bought three kids’ meals for $10.95.
Therefore,
p = km
where
m = number of meals bought
p = total cost of the kids’ meals
Therefore,
k = p / m
k = 10.95 / 3
k = 3.65
learn more on equation here: brainly.com/question/2792798
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