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slega
1 month ago
8

When factoring polynomials, why it is best to look for a greatest common monomial factor first?

Mathematics
1 answer:
Zina [12.3K]1 month ago
8 0

Answer:

Step-by-step explanation:

Factoring binomials and polynomials becomes simpler when starting with the greatest common monomial.

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If we collect experimental data on alcohol consumption from the same 100 individuals before and then after a course on the dange
zzz [12365]

Answer: D) randomized comparative design

Step-by-step explanation:

A randomized comparative design involves comparing two or more treatments and is characterized by an experiment intended to highlight differences between two groups or populations subjected to distinct conditions or treatments. In the scenario described, pre-existing data was juxtaposed with information collected after the alcohol dangers course.

5 0
16 days ago
A really bad carton of eggs contains spoiled eggs. An unsuspecting chef picks eggs at random for his ""Mega-Omelet Surprise."" F
Leona [12618]
(a) The likelihood that all 5 eggs chosen are unspoiled is 0.0531. (b) The probability that 2 or fewer out of the 5 eggs are unspoiled is 0.3959. (c) The probability that more than 1 of the selected 5 eggs are unspoiled is 0.8747. Step-by-step explanation: The complete query is: A subpar carton of 18 eggs has 8 that are spoiled. An unsuspecting chef selects 5 eggs at random for his “Mega-Omelet Surprise.” Calculate the probability of receiving (a) exactly 5 unspoiled eggs, (b) 2 or fewer, and (c) more than 1 unspoiled egg. Define X = number of unspoiled eggs. In the faulty carton, 8 eggs are spoiled. The probability of selecting an unspoiled egg is independent of others. Provided that a chef randomly picks 5 eggs, the variable X follows a Binomial distribution with parameters n = 5 and p = 0.556. Success is defined as selecting an unspoiled egg. The probability mass function of X is as follows: (a) Calculate the probability of selecting all unspoiled eggs. Thus, this probability is found to be 0.0531. (b) For 2 or less unspoiled eggs, the probability is computed: P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2), resulting in a probability of 0.3959. (c) For more than 1 unspoiled egg: P (X > 1) = 1 - P (X ≤ 1), yields a final probability of 0.8747.
6 0
28 days ago
Clay can run one lap around the track in 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?
zzz [12365]

Response: It will require him 1 hour and 35 minutes

8 0
1 month ago
The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued
AnnZ [12381]

Answer:

7/24

Step-by-step explanation:

All the items being grilled collectively equal 1.

Each item represents a fractional portion of 1.

Combine 3/8 and 1/3, then subtract that sum from 1.

3/8 + 1/3 = 9/24 + 8/24 = 17/24

This means that veggie burgers and corn contribute to 17/24 of the total.

To determine the fraction accounted for by mushrooms, we take 1 and subtract 17/24.

1 - 17/24 = 24/24 - 17/24 = 7/24.

Final answer: 7/24

8 0
1 month ago
Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of
Svet_ta [12734]

Answer:

Base Charge = $7

Additional Fees = $7

Step-by-step explanation:

Let x represent the base charge and y for the additional fees.

For a job that lasts 5 hours, we obtain:

42 = x + 5y

For the 3-hour task

28 = x + 3y

Finding x and y;

42 = x + 5y

28 = x + 3y

Deduct the second equation from the first

42 - 28 = x - x + 5y - 3y

14 = 2y

Calculate y

y = 14/2

y = 7

Replace 7 with y in the first equation

42 = x + 5y

42 = x + 5 * 7

42 = x + 35

x = 42 - 35

x = 7

4 0
1 month ago
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