Which statement is TRUE about 300 ? A) It lies between 14 and 15 on a number line. B) It lies between 15 and 16 on a number line
1 answer:
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The question is unclear. The statement in the question "The probability that they will have a steak dinner is 50%"... seems extra so assuming that the question is the following:
Thursday is date night for Holly and David. Based on prior date nights, they will choose to go out 80% of the time. If they go out for date night, they will have steak for dinner 40% of the time, 10% of the time they will choose a pasta-based dinner, otherwise they will select something else. If they choose to eat at home they will only choose from pasta or steak. Answer the following questions.
(a) Determine the probability that they will have steak for dinner, given that they choose to have date night at home.
(b) Create a tree diagram based on the information given above.
(c) Find the probability that they will have steak or pasta for dinner.
Answer:
(a) 0.5
(b) attached in the picture
(c) 0.6
Step-by-step explanation:
(a) The first part is a conditional probability question. For that we can use the conditional probability method to find the answer. This is done in the picture attached below.
(b) Tree diagram is attached as a picture below showing all the possible outcomes.
(c) Done in the picture below. The possible outcomes are
1- out and steak
2- out and pasta
3- home and steak
4- home and pasta
3- home and steak and 4- home and pasta have equal probability.
Answer:
If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).
Step-by-step explanation:
We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.
The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:
Then, we can express one side in function of the other as:
Then, if we define b, we get the value of a that satisfies the equation.
A graph of values of a and b is attached.
If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).
