Answer:
102cm³
Step-by-step explanation:
Imagine the shape as two rectangular prisms, a small one on top of a bigger one. Find their volumes individually, and then add them together:
<u>Small rectangular prism</u>
Volume=length*width*depth
=2*3*(7-5)
=6*2
=12cm³
<u>Bigger rectangular prism</u>
Volume=length*width*depth
=6*3*5
=6*15
=90cm³
12+90=102cm³
Answer:
Y doesn't vary directly with x
Answer:
3.66666...
Step-by-step explanation:
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.
So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.
In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data
Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data
From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.
Using these z scores, we can find the values which contain 75% of the values about the mean.
z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:
150 - 1.15(25) = 121.25
z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:
150 + 1.15(25) = 178.75
So, the interval from 121.25 to 178.75 contains the 75% of the data values.
Answer:
Step-by-step explanation:
for square, rectangle and parallelogram is the first top three
Rhombus is the last two on the bottom
The reason why square, rectangle and parallelogram are the same is because they have the same properties
