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4 years ago

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The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What i

s the
approximate percent of change in the cost of a gallon of gasoline?

1 answer:

Ratling [72]4 years ago

8 0

Answer:

34%

Step-by-step explanation:

100%=2.45

? =3.29

3.29/2.45×100=134.29

134.29-100=34%

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The data (1.5.8.5.1) represent a random sample of the number of days absent from school for five students at Monta Vista High. F

lianna [129]

Answer:

$\bar X = \frac{1+5+8+5+1}{5}= \frac{20}{5}= 4$

$\sigma= \sqrt{\frac{(1-4)^2 +(5-4)^2 +(8-4)^2 +(5-4)^2 +(1-4)^2}{5}} =\sqrt{\frac{36}{5}}= 2.68$

And based on this the best answer would be:

a. mean = 4; standard deviation = 2.68

Step-by-step explanation:

For this case we have the following data given:

1,5,8,5,1

We can find the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{1+5+8+5+1}{5}= \frac{20}{5}= 4$

And for the deviation (assuming that the correct approximation is the deviation for a population) we can calculate the deviation with the following formula:

$\sigma = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And replacing we got:

$\sigma= \sqrt{\frac{(1-4)^2 +(5-4)^2 +(8-4)^2 +(5-4)^2 +(1-4)^2}{5}} =\sqrt{\frac{36}{5}}= 2.68$

And based on this the best answer would be:

a. mean = 4; standard deviation = 2.68

3 0

3 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

2 years ago

Alsion saves $29.26 each month. How many months will it take her to save enough money to buy a stereo for $339.12?

Darya [45]

Answer: 12 months (1 year)

We know that Alision gains $29.26 each month. She wants to buy a stereo for $339.12

You want to divide $339.12 with $29.26 to find the total months.

339.12 / 29.26 = 11.6

CHECK:

You want to round up, since she needs the money to buy a stereo. She's allowed to have more money.

29.26 * 12 = 351.12

It will take Alision 12 months (1 year) to buy her stereo.

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3 years ago

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viktelen [127]

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3 years ago