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2 years ago

Which of the following is the most appropriate unit to describe the rate of the cost of gasoline?

Mathematics

2 answers:

Snowcat [4.5K]2 years ago

6 0

Answer:

Dollars per gallon, because the dependent quantity is the dollars.

Step-by-step explanation:

Dollars is the dependent quantity because it depend on the gallons of gas we have pumped and changes accordingly. The volume of gasoline is an independent variable which price depends on.

A dependent variable is one, who depends on other entities. If the value of one entity changes, the value of the dependent variable also changes.

malfutka [58]2 years ago

3 0

Dollars per gallon because the dependent quantity is the dollars

Dollars is the dependent quantity because the amount you pay depends on how many gallons you've pumped.

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47 x 68 = 3196 Use this information to work out 31.96 ÷ 0.47 =

Zepler [3.9K]

The correct answer for this question is 68.

5 0

2 years ago

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collecte

allsm [11]

Answer:

The degrees of freedom are given by;

$df =n-1= 5-1=4$

The significance level is 0.1 so then the critical value would be given by:

$F_{cric}= 7.779$

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Step-by-step explanation:

For this case we have the following observed values:

Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100

For this case the expected values for each day are assumed:

$E_i = \frac{100}{5}= 20$

The statsitic would be given by:

$\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$

Where O represent the observed values and E the expected values

The degrees of freedom are given by;

$df =n-1= 5-1=4$

The significance level is 0.1 so then the critical value would be given by:

$F_{cric}= 7.779$

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

5 0

2 years ago

Solve mathematics problem in photo please!

laila [671]

Hello,

8/(x-7)=7/2
==>(x-7)*7=8*2
==>7x-49=16
==>7x=65
==> x =9+2/7

Answser A

8 0

2 years ago

What are the vertex and xintercepts of the graph of the function below? y=(x + 4)(x-2)

erik [133]

Yo sup??

y=(x+4)(x-2)

to find the x intercept put y=0

0=(x+4)(x-2)

so either x=-4 or x=2

Therefore the graph intersects the x axis at -4 and 2

Lenght of x intercept=|-4-2|=6 units

y=(x+4)(x-2)

=x^2+2x-8

This is an upward opening parabola

To find the coordinates of the vertex we can apply the formula

(-b/2a,-D/4a)

b=2

a=1

D=b^2-4ac

=4-4*1*(-8)

=4+32=36

Vertex=(-2/2*1,-36/4*1)

=(-1,-9)

Hope this helps.

3 0

2 years ago

Give the property that justifies each step.

frosja888 [35]

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

Distributive property

$a(b+c) = ab+ac$

For example,

suppose a=3, b=4, c=5

3(4+5) = 3(4) + 3(5)

3(9) = 12+15

27 = 27

Subtraction property of Equality

if (a=b), then a-c = b-c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3

Addition property of Equality

if (a=b), then a+c = b+c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5

Multiplicative property of Equality

if (a=b), then a×c = b×c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10

Division property of Equality

if (a=b), then a÷c = b÷c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5

Let us solve the given equation using the above properties.

7n-16=47 Given

7n-16+16=47+16 1) Addtion property of Equality ∵ if (a=b), then a+c = b+c

7n=63 2) simplify

n = 9 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c

3 0

2 years ago