At first, I thought this was going to be a dog of a bear of a problem,
but then I fixated it with my steely burning gaze and it fell apart for me.
The volume of a pyramid is (1/3) (base area) (height)
Each of these pyramids has the same base area and the
same height, so ...
Volume of the lower pyramid = (1/3) (base area) (height)
Volume of the upper pyramid = (1/3) (base area) (height)
Combined volume of both pyramids = (2/3) (base area) (height) .
Now, how do the pyramids relate to the rectangular prism ?
Their base area is (length x width) of the prism, and
their height is (1/2 the height) of the prism.
From here, we'll work with the dimensions of the prism ... L, W, and H .
Combined volume of the pyramids = (2/3) (L x W) (1/2 H)
= (1/3) (L x W x H) .
Volume of the prism = (L x W x H)
The pyramids occupy 1/3 the volume of the prism.
The ratio is 1/3 .
She should not spin the spinner any more times, the relative probability is already more than the theoretical probability.
If there is only 1 purple section out of 8, that gives purple a 12.5% chance of being spun.
However, Lara got purple 30 out of 120 times. That is 25%. She is already over.
How many of the sections were purple?
Step-by-step explanation:
The probability of success = 8/(8 + 17) = 8/25 = 0.32.
Let X be the random variable denoting the number of successes (number of times the individual won a prize) in four picks.
Hence, X ~ Bin(4, 0.32).
Thus, P(X = 1) = 
I believe the answer is B) -3/2 or -1.5.
Please give a heart and rating if this is right!
Answer:
$93.75
Step-by-step explanation:
The computation of the total cost of order is shown below:
The Cost of 8 pounds of Pepperoni is
= 8 × $3.15
= 25.2
The Cost of 15 pounds of cheese is
= 15 × $1.85
= $27.75
The Cost of 12 pounds of sausage is
= 12 × $3.40
= $40.8
So, The total cost is
= $25.2 + 27.75 + $40.80
= $93.75