Conditional statement is a statement with a hypotesis and a conclusion:
If , then or mathematically .
Converse statement of is statement .
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse: .
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive: .
Then,
Answer: the correct choice is D (the inverse of the original conditional statement).
The third side is 78
Because of the special right triangles (5, 12, 13) these give numbers are multiples so by finding the common multiple i was able to determine the final side length given it is a right triangle
The correct question in the attached figure
step 1
calculate the different volumes
a) Volume of prism square base=x*x*y=x²*y
b) Volume of the cylinder=π*(z²)*y
the combined volume of the two figures=[x²*y]+[π*z²*y]
the answer is [y*x²]+[π*y*z²]
To find the median, order the numbers in the data set from least to greatest (or greatest to least, either one works) and then find the number in the middle. If there are 2 numbers in the middle, find their mean.
Step 1: Ordering the numbers.
<span>Original: 100, 88, 76, 78, 92, 94, 84, 98, 82, 90
Ordered: </span>76, 78, 82, 84, 88, 90, 92, 94, 98, 100
Step 2: Find the median (middle number).
The median is the number in the center.
Count in from each side equally to find the middle number.
76, 78, 82, 84, 88, 90, 92, 94, 98, <span>100
</span>78, 82, 84, 88, 90, 92, 94, 98
82, 84, 88, 90, 92, 94
84, 88, 90, 92
88, 90
88 and 90 are the middle numbers.
Since there are 2 numbers in the middle, we must find their mean.
Step 3: Find the mean of the 2 middle numbers.
Mean is also known as average.
To find this, add up the numbers and then divide by the amount of numbers there are.
In this case, that means adding 88 and 90 then dividing their sum by 2.
This can be represented by the equation (88 + 90) ÷ 2.
88 + 90 = 178
178 ÷ 2 = 89
89 is the final answer, it is the median.
Answer:
The median of this data set is 89.
Hope this helps!