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3 years ago

Can a rational number be an integer

Mathematics

2 answers:

lora16 [44]3 years ago

6 0

Answer:

Yes they can

Step-by-step explanation:

"The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. ... If a number is an integer, it must also be rational."

finlep [7]3 years ago

4 0

Answer: yes

Step-by-step explanation:

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Michelle has 21 ⅙ cups of flour in a container. She uses 6 ⅚ cups of flour to make 5 loaves of bread. How much flour does Michel

Bezzdna [24]

It should be about -13 cups

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3 years ago

Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she u

olga nikolaevna [1]

Answer:

Sample response:

Step-by-step explanation:

She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.

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3 years ago

In a certain assembly plant, three machines B1, B2, and B3, make 30%, 20%, and 50%, respectively. It is known from past experien

diamong [38]

Answer:

The probability that a randomly selected non-defective product is produced by machine B1 is 11.38%.

Step-by-step explanation:

Using Bayes' Theorem

P(A|B) = $\frac{P(B|A)P(A)}{P(B)} = \frac{P(B|A)P(A)}{P(B|A)P(A) + P(B|a)P(a)}$

where

P(B|A) is probability of event B given event A

P(B|a) is probability of event B not given event A

and P(A), P(B), and P(a) are the probabilities of events A,B, and event A not happening respectively.

For this problem,

Let P(B1) = Probability of machine B1 = 0.3

P(B2) = Probability of machine B2 = 0.2

P(B3) = Probability of machine B3 = 0.5

Let P(D) = Probability of a defective product

P(N) = Probability of a Non-defective product

P(D|B1) be probability of a defective product produced by machine 1 = 0.3 x 0.01 = 0.003

P(D|B2) be probability of a defective product produced by machine 2 = 0.2 x 0.03 = 0.006

P(D|B3) be probability of a defective product produced by machine 3 = 0.5 x 0.02 = 0.010

Likewise,

P(N|B1) be probability of a non-defective product produced by machine 1 = 1 - P(D|B1) = 1 - 0.003 = 0.997

P(N|B2) be probability of a non-defective product produced by machine 2 = 1 - P(D|B2) = 1 - 0.006 = 0.994

P(N|B3) be probability of a non-defective product produced by machine 3 = 1 - P(D|B3) = 1 - 0.010 = 0.990

For the probability of a finished product produced by machine B1 given it's non-defective; represented by P(B1|N)

P(B1|N) = $\frac{P(N|B1)P(B1)}{P(N|B1)P(B1) + P(N|B2)P(B2) + (P(N|B3)P(B3)}$ = $\frac{(0.297)(0.3)}{(0.297)(0.3) + (0.994)(0.2) + (0.990)(0.5)}$ = 0.1138

Hence the probability that a non-defective product is produced by machine B1 is 11.38%.

4 0

3 years ago

What is science ? or what is math

german

Answer:

Science is a set of tools people used to build robust predictions. The tools are called The Scientific Method. (Some people prefer to say that Science creates explanations. That's fine. They are explanations in the form of predictions.)

The first step is to come up with a falsifiable hypothesis. That's a claim which can, in theory, be proven wrong. The next step is to try to prove it wrong via careful observation and experimentation.

If you manage to falsify the hypothesis or are unable to falsify it, you will be able to use it to make predictions.

I would define mathematics as the study of structure divorced from context.

In mathematics, we study various structures: numbers, groups, geometric objects, etc. We study their patterns and figure out how they work and interconnect. I would make the argument that anything existing in the universe and anything that can be cooked up by the human mind that has some sort of structure to it can be studied mathematically.

Of course, what one might argue is that disciplines like physics, chemistry, and biology do the same thing: they search for the physical patterns and structures that exist out in the world.

Step-by-step explanation:

please give me brainliest

7 0

3 years ago

Find the value of x to the nearest tenth.<br> tan Xº = 31

Dmitry_Shevchenko [17]

Answer: the answer is 88.2 and your welcome!!

Step-by-step explanation:

Tan x=31

x= tan^-1 (31)

x=88.2 degrees

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3 years ago