Find the two numbers the quotient is between. Then estimate the quotient. 75 divided by 4

Answers

Answer 1
Answer:

Answer:

The quotient will be between 18 and 19.

Estimated quotient will be 18.75

Step-by-step explanation:

The closest number to 75 which is divisible by 4 and less than 75 is :  72  and

the closest number to 75 which is divisible by 4 and greater than 75 is :   76

Now,  72 / 4= 18 and 76/ 4= 19

That means, the quotient for (75/4) will be between 18 and 19.


As, 75 is 1 less than 76, so the quotient will be (1)/(4) or 0.25 less than 19.

So, the quotient will be:  19-0.25= 18.75



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A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail? Answer in % form.If someone could show me the steps I would really appreciate it! Thanks!!!

Answers

Probability that gear 1 will fail = 5/100 (upto 10 years) 
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

Answer:

0.4%.

Step-by-step explanation:

If the gears on the machine are not linked to each other, the probability that both replacement gears will fail is 0.4%.

Using PEMDAS (Order of Operations), what is the value of the expression 4+3^2+(4−12)? A. 15. B. 17. C. 13. D. 10.

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