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Ulleksa [173]
3 years ago
7

Estimate 1.75 x 12.5

Mathematics
2 answers:
Semmy [17]3 years ago
5 0
My estimate would be at least 21. if not that than 22.
igor_vitrenko [27]3 years ago
4 0

That  means don't use a calculator.

2 * 12.5 = 25 about or you could use 2 * 13 = 26. Now you can use a calculator to see how close you were.

1.75 * 12.5 = 21.875

You may dismayed that you are not any closer, but the idea is to get a close answer without using a calculator. You are actually looking for a range of numbers that could contain the answer.

If you want the lower part of the range you could round to 1*12.5 = 12.5

So if you get an answer like 3.8 or 400 you know you did something wrong. Learning to estimate is a gift you should take out of every math or science class. It is a give freely given.

Estimate: betwee  12.5 and 25


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the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of
marin [14]
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:

V α 1/P

To change it to an equality, we introduce a proportionality constant, k. We do as follows:

V = k/P

So, to determine what is asked, we need to first calculate for the value of k.

V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280

Thus, at P = 87 cmHg 
V = 17280 / 87 
V = 198.62 m^3
4 0
3 years ago
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defe
Hatshy [7]

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that p = 0.2

Sold seven trucks:

This means that n = 7

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097

P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670

P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148

0.148 = 14.8% probability that they will need to order at least one more new transmission

6 0
3 years ago
Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ.
Alex787 [66]

Answer:

midpoint is y2+y1/2, x2+x1/2 therefore 3+1/2,-6+-4/2,4/2,-10/2 and the answer is (2,-5 )

8 0
3 years ago
If the interior angle of a polygon is 170 how many sides does it have
Tpy6a [65]

if interior angle is 170, subtract 170 from 180 to find exterior angle:

180-170 = 10 = exterior angle

the sum of exterior angles is 360 so divide by exterior angle to find sides:

360 /10 = 36 sides

6 0
4 years ago
Please answer the math question thankyou.
loris [4]

Answer:

50 cubic units

Step-by-step explanation:

The formula for volume of cube = length x width x height

so we do

5 x 5 x 2 =

25 x 2 =

50 cubic units

Hope this helps!

- profparis

7 0
3 years ago
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