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vivado [14]
3 years ago
14

In November 2010 the average price of 5 gallons of regular unleaded gasoline in the United states was $14.46. what was the price

for 16 gallons of gasoline?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Propecia:

5 gallons ====== $ 14.46.

16 gallons ======= x dollars

X=16*14.46: 5=46.27  

Answer: $ 46.27.

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HELP ASAP! Which of the following tables represents a linear function?
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Table A, B and D are represents a linear function.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

⇒ y = - 3x + 1

For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3)  (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0)  (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

5 0
1 year ago
Use the proportion below to determine 30% of 20.
mestny [16]

Answer:

x=6

Step-by-step explanation:

6 0
2 years ago
Equivalent equation of 3(x+6)=4x+7
il63 [147K]

Answer:

Step-by-step explanation:

3x + 18 = 4x + 7

18 - 7  =4x - 3x

11 = x

x= 11

8 0
2 years ago
Read 2 more answers
Multiply. 32.09 × 43.9
Kipish [7]
Your answer would be 1408.751. Have a good day, and may you do well on your test :D
5 0
3 years ago
A repair shop believes that people travel more than 3500 miles between oil changes. A random sample of 8 cars getting an oil cha
Liula [17]

Answer:

There is not enough evidence to support the shop’s claim.

Step-by-step explanation:

In this case we need to test whether the claim that people travel more than 3500 miles between oil changes is correct or not.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: People travel not more than 3500 miles between oil changes, i.e. <em>μ</em> ≤ 3500.

<em>Hₐ</em>: People travel more than 3500 miles between oil changes, i.e. <em>μ</em> > 3500.

The information provided is:

n=8\\\bar x=3375\ \text{miles}\\s=225\ \text{miles}\\\alpha =0.05

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{3375-3500}{225/\sqrt{8}}=-1.57  

Thus, the test statistic value is -1.57.

The degrees of freedom of the test is:

df = (n - 1) = 8 - 1 = 7

Compute the p-value of the test as follows:

 p-value=P(t_{(n-1)}>-1.57)\\=P(t_{7}>-1.57)\\=0.0802

*Use a t-table.

Thus, the p-value of the test is 0.0802.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.0802 > α = 0.01

The null hypothesis will not be rejected at 5% level of significance.

Thus, concluding that there is not enough evidence to support the shop’s claim that people travel more than 3500 miles between oil changes.

6 0
3 years ago
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