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4 years ago

What is 20/-12 as a mixed number

Mathematics

1 answer:

kompoz [17]4 years ago

5 0

if we divide 20 by 12, we get a quotient of 1, and a remainder of 8.

$\bf -\cfrac{20}{12}\implies -\stackrel{quotient}{\text{\huge 1}}\frac{\stackrel{remainder}{8}}{12}\implies -1\frac{8}{12}$

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3.PS-15

lianna [129]

Answer:

Step-by-step explanation:

3.PS-15

Challenge The members of the city cultural center have decided to put on a play once a night for a

week. Their auditorium holds 500 people. By selling tickets, the members would like to raise $2,350

every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Lets

represent the number of student tickets sold at $3.50 each. If all 500 seats are filled for a

performance, how many of each type of ticket must have been sold for the members to raise exactly

$2,350? At one performance there were three times as many student tickets sold as adult tickets. If

there were 400 tickets sold at that performance, how much below the goal of $2,350 did ticket sales

fall?

The members sold

adult tickets and

student tickets.

3 0

2 years ago

The shear strength of each of ten test spot welds is determined, yielding the following data (psi).

Mumz [18]

Answer:

a) Mean = 382.3 psi

Standard deviation = 20.8 psi

b) 392.7 psi

c) P(X<400)=0.8026

Step-by-step explanation:

a) The population mean can be estimated as equal to the mean of the sample, and the population standard deviation can be estimated from the sample standard deviation:

$M=\frac{1}{n}\sum x_i=\frac{1}{10}(389+405+409+367+358+415+376+375+367+362)\\\\M=\frac{1}{10}(3823)=382.3\\\\\mu\approx M=382.3$

$s=\sqrt{\frac{1}{n-1}\sum (x_i-M)^2}=\sqrt{\frac{1}{10-1}(389-382.3)^2+...+(362-383.2)^2}\\\\\\s=\sqrt{\frac{1}{9}(3906.1)}=\sqrt{434}=20.8\\\\\\\sigma\approx s=20.8$

b) We start by searching for the z-value for the 95th percentile. This value is

z=1.645:

$P(z$

Then, the strength value below which 95% of all welds will have their strengths is:

$X=\mu+z\cdot \sigma/\sqrt{n}=382.3+1.645*20.8/\sqrt{10}\\\\X=382.3+32.9/3.2=382.3+10.4\\\\X=392.7$

c) We calculate the probability of X being equal or less than 400 as:

$z=(X-\mu)/\sigma=(400-382.3)/20.8=17.7/20.8=0.851\\\\\\P(X\leq400)=P(z$

6 0

3 years ago

What is the slope of the line that passes through (-4, 5) and (2, -3)?

ella [17]

Answer:

$m=\frac{-4}{3}$

$y=\frac{-4}{3}x -\frac{1}{3}$

Step-by-step explanation:

Use the Slope formula...

$\frac{-3-5}{2-(-4)}$

$\frac{-8}{6} = \frac{-4}{3}\\\frac{-4}{3} = m$

Plug the slope into the Point-Slope formula...

$y -(5) = \frac{-4}{3}(x-(-4)) \\y+5=\frac{-4}{3}x +\frac{-16}{3}\\y=\frac{-4}{3}x +\frac{-1}{3}$

8 0

3 years ago

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Anna71 [15]

Her book was 10 days late. D = days. The equation is .25(4) + .30d = 4.00. First you multiply .25 • 4 to get 1. Then you subtract 1 from both sides and get .30d = 3. Next you divide both sides by .30 to get d = 10.

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3 years ago

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3 years ago