Part a
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Answer:
Bob is paying more for the actual steak
Step-by-step explanation:
we know that
Maria selects a cut that costs $19.98 per pound (Maria's steak is all meat)
Bob’s selection costs $13.98 per pound (Bob’s cut of beef is 1⁄3 bone and fat)
so
Bob's cut is 2/3 all meat
Find the unit rate of Bob's cut for all meat

therefore

Bob is paying more for the actual steak
Complete question :
A company is manufacturing highway emergency ares. Such ares are sup- posed to burn for an average of 20 minutes. Every hour a sample of ares is collected, and their average burn time is determined. If the manufacturing process is working cor- rectly, there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes. The quality engineer in charge of the process believes that if 4 of 5 samples fall outside these bounds then this is a signal that the process might not be performing as expected. Each morning the sampling begins anew. Let X denote the number of samples drawn in order to obtain the fourth sample whose average value is outside of the above bounds. Find the probability that for a given morning X = 5, hence there seems to be a problem right away.
Answer:
0.0285
Step-by-step explanation:
We are to find the probability for a given morning that X = 5
From the question, we could see that there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes and the success of the process is obtained after the fourth or fifth sample.
Thus, r = 4; q = 0.68
The probability average burn time falls outside p will be:
p = 1 - 0.68 = 0.32
The random variable X follows negative binomial distribution.
Therefore,
Where, x = 5
r = 4
p = 0.32
Substituting figures in the equation, we have:
= 0.0285
The probability that for a given morning X = 5 is 0.0285
9514 1404 393
Answer:
A) (3 cm x 4 cm ÷ 2) x 3 cm
Step-by-step explanation:
The volume is the product of the area of the triangular bases and the distance between them.
Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...
A = (1/2)bh
A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2
__
The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...
V = Bh
V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A
There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.
It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.
You have to multiply 12 by -16 =-192. When you subtract-200 with -192 you get -8