Julian and stacey needed 10 liters of water to fill a tank. Stacey filled the tank with 3 11/12 liters of water. Julian poured 1 2/5 liters less than Stacey into the tank. How much more water is still needed to fill the tank?

Answers

Answer 1

Answer: The amount of water Julian and Stacey needed to fill the tank = 10 liters
Amount of water filled by Stacey individually = 3 11/12 liters
   = 47/12 liters
It is given in the question that Julian poured 12/5 liters less than Stacey.
Then Amount of water filled by Julian = (47/12) - (12/5) liters
      = (235 - 144)/60
   = 91/60
So Julian filled 91/60 liters of water in the tank.
Amount of water still needed to fill the tank = 10 - [(47/12) - (91/60)]
   = 10 - [(235 - 91)/60]
   = 10 - (144/60)
   = 10 - 12/5
   = (50 - 12)/5
   = 38/5
   = 7 3/5
so 7 3/5 liters of water is still required to fill the tank.

Answer 2

Answer:

Answer:

Step-by-step explanation:

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The National Football League (NFL) polls fans to develop a rating for each football game. Each game is rated on a scale from 0 (forgettable) to 100 (memorable). The fan ratings for a random sample of 12 games follow. 57 61 87 74 72 73 19 56 81 79 83 75 a. Develop a point estimate of mean fan rating for the population of NFL games (to 2 decimals). b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).

Answers

The point estimates for the mean and standard deviation of the given data is respectively; 68 and 17.6

What is point Estimate?

A) To find the point estimate of the mean, we add all up all the data and divide by the number of values.

Thus;

∑x = 57 + 61 + 86 + 87 + 72 + 73 + 19 + 56 + 81 + 79 + 83 + 75 = 816

n = 12 numbers

Thus;

mean = ∑x/n = 816/12

Mean = 68

B) To find the estimate of the standard deviation, we would get it from the formula;

s = √[(n*(∑x²) - (∑x)²)/n(n - 1)]

∑x² = 572 + 612 + 862 + ... + 742 = 59,010

s = √[ (12*(59,010) - (816)²)/(12)(11)]

s = 17.6

Read more about Point Estimate at; brainly.com/question/9562180

If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?

Answers

Answer:

The residual value is -0.75

Step-by-step explanation:

we know that

The residual value is the observed value minus the predicted value.

RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]

where

Predicted value.--> the predicted value given the current regression equation

Observed value. --> The observed value for the dependent variable.

in this problem

we have the point (1,4)

The observed value is 4

Find the predicted value for x=1

$y =1.5(1)+3.25=4.75$

predicted value is 4.75

RESIDUAL VALUE=(4-4.75)=-0.75

Answer:

-0.75

Step-by-step explanation:

Thirty- six shirts were on sale for 2/3 of the regular price of the sale price of each shirt was 30 what was the regular price?

Answers

First change 2/3 into a decimal: .67. Then divide 30 by .67: 44.77. Round it: 44.77 = 45. Each shirt was $45 :)

A gallon of latex paint can cover 300 square feet. Felix has a pentagonal room in which all the sides have the same lenth of 10 feet thr room has a 8 foot celings how many gallon containers of paint does he need to buy to paint two coats on each wall

Answers

area of each wall is 10*8 = 80 square feet
there are 5 walls so total wall area is 5*80=400
he needs two coats on each wall so he needs to cover 2*400=800 square feet

so he needs to buy 3 galon containers

True or FalseThe segments shown below could form a triangle.
A_________C is 6
C_____B is 5
B_____________A is 8

Answers

$a,b,c-lengths\ sides\ of\ a\ triangle,\ then:\n\na+b > c\na+c > b\nb+c > c\n\nif\ a\leq b\leq c\ then\ a+b > c\n--------------------------\nHere:\na=5;\ b=6;\ c=8\n\na+b=5+6=11 > 8\n\nAnswer:TRUE$

What are the values of x in the equation x(x-6)=4(x+6)

Answers

$x(x-6)=4(x+6)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\n\nx(x)+x(-6)=4(x)+4(6)\n\nx^2-6x=4x+24\ \ \ \ |subtract\ 4x\ and\ 24\ from\ both\ sides\n\nx^2-10x-24=0\n\nx^2-12x+2x-24=0\n\nx(x-12)+2(x-12)=0\iff(x-12)(x+2)=0\n\ntherefore\n\nx-12=0\ or\ x+2=0\n\nAnswer:\boxed{x=12\ or\ x=-2}$

        x(x - 6) = 4(x + 6)
    x(x) - x(6) = 4(x) + 4(6)
     x² - 6x = 4x + 24
         - 4x - 4x
     x² - 10x = 24
x² - 10x - 24 = 24 - 24
x² - 10x - 24 = 0
x = -(-10) +/- √((-10) - 4(1)(-24))
   2(1)
x = 10 +/- √(100 + 96)
   2
x = 10 +/- √(196)
2
x = 10 +/- 14
2
x = 5 + 7
x = 5 + 7 U x = 5 - 7
x = 12    x = -2
The values of x in the equation is either equal to 12 or -2.

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