Answer:
mean = 14.5 ; median = 15.5 ; interquartile = 7.5
Step-by-step explanation:
Given : 17,23,8,5,9,16,22,11,13,15,17,18.
To find : Find the mean median and interquartile for the data set .
Solution : We have given 17,23,8,5,9,16,22,11,13,15,17,18.
First we arrange in ascending order 5 , 8 ,9 ,11, 13, 15, 16 , 17, 17,18, 22, 23,
Mean : .
Mean : .
Mean : 14.5
Median : Average of middle two numbers
Median : .
Median : .
Median : 15 .5
Interquartile : median of lower half - median of upper half.
Interquartile : -
.
Interquartile : 17.5 - 10= 7.5
Therefore, mean = 14.5 ; median = 15.5 ; interquartile = 7.5
Answer:
77.5 cm²
Step-by-step explanation:
We need to find the surface area of the rectangular prism.
Total surface area = 2(lw + wh + lh)
where:
Given dimensions:
Substituting these value into the formula:
Therefore, 77.5 cm² of fabric is needed to cover the weight.
Answer:
Step-by-step explanation:
We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:
and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:
Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:
On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:
and we can move that constant back over and set the quadratic back equal to y:
which gives us a max height of 2.
(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))