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omeli [17]
4 years ago
8

A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of

Mathematics
1 answer:
romanna [79]4 years ago
5 0

Answer:

The gallons of gas the tank contain now is <u>35 1/12</u>.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of  gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank =1\frac{3}{4}=\frac{7}{4}.

Gallons of gasoline Casey adds =33\frac{1}{3} =\frac{100}{3}.

<u>According to question:</u>

By adding we get the total gallons of gasoline now tank contain:

\frac{7}{4} +\frac{100}{3}

=\frac{7\times 3+100\times 4}{12}

=\frac{21+400}{12}

=\frac{421}{12}

=35\frac{1}{12}

Therefore, the gallons of gas the tank contain now is 35 1/12.

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In a sample of 388 people in a certain, 22% had red hair. Find a 99% confidence interval for the proportion of people in the cou
Anit [1.1K]

Answer: (0.1658, 0.2742)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where  n= sample size

z*= Critical value

\hat{p} = sample proportion.

As per given , we have

Significance level : \alpha=1-0.99=0.01

According to z-table, Critical value for 99% confidence interval : z*=2.576

Let p be the proportion of people in the country that have red hair.

n= 388

\hat{p}=0.22

Now, required confidence interval for proportion of people in the country that have red hair will be :-

0.22\pm (2.576)\sqrt{\dfrac{0.22(1-0.22)}{388}}

0.22\pm (2.576)\sqrt{0.000442268}

0.22\pm (2.576)(0.02103)

(0.22-0.05417328,\ 0.22+0.05417328 )=(0.16582672,\ 0.27417328)\\\\\approx(0.1658,\ 0.2742)

The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)

8 0
3 years ago
The graph represents this system of equations y equals 4 - x y equals x - 2 what is the solution to the system of equations
babunello [35]

The solution to the system of equations is (3,1)

Step-by-step explanation:

The system of equations represented by graph are:

y=4-x\\y=x-2

Solving the system of equations

Let:

y=4-x\,\,\,eq(1)\\y=x-2\,\,\,eq(2)

Putting value of y from eq(2) into eq(1):

x-2=4-x\\Simplifying:\\x+x=4+2\\2x=6\\x=6/2\\x=3

So, Value of x = 3

Putting value of x into eq(2)

y=x-2\\y=3-2\\y=1

So, value of y= 1

So, The solution to the system of equations is (3,1)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

4 0
4 years ago
What do the following two equation represent
erma4kov [3.2K]

Answer:

D

Step-by-step explanation:

They are clearly not the same line since they don't have the same slope. Because they don't have the same slope, they're not parallel either. In order to be perpendicular, the product of the slopes of both lines must be -1. Since 3/4 * 4/3 ≠ -1, they are not perpendicular, leaving us with option D as the answer.

5 0
3 years ago
Three friends eat lunch together. The bill comes to $21 plus 10% tax .If they spilt the bill and tax evenly, how much will each
DedPeter [7]
(21 * 1.10) / 3 = 23.10/3 = 7.7....so each friend has to pay $ 7.70
6 0
3 years ago
First blank:
Tatiana [17]

Hey there!

I believe the first blank is B. Horizontal Stretch and the second blank is A. Does

Hope this helps you!

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4 0
4 years ago
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