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2 years ago

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The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city

. Use a graphing calculator to determine the quadratic regression equation for this data set.

1 answer:

mash [69]2 years ago

4 0

Answer:

The correct option is a.

Step-by-step explanation:

The general form of a quadratic regression equation is

$y=ax^2+bx+c$ ..... (1)

Using graphing calculator we get

$a=-0.143393\approx -0.143$

$b=0.59525\approx 0.595$

$c=2.82964\approx 2.830$

Substitute these values in equation (1) to find the quadratic regression equation for this data set.

$y=-0.143x^2+0.595x+2.830$

Therefore the correct option is a.

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The price of a train ticket consists of an initial fee plus a constant fee per stop.

murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops Price (dollars)

3 6.50

7 12.50

11 18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

$Price (P) = x + (y\times \textrm{Number of Stops})$

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

$x+3y =6.50 \ \ \ \ equation \ 1$

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

$x+7y =12.50 \ \ \ \ equation \ 2$

Now Subtracting equation 1 from equation 2 we get;

$(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5$

Substituting the value of y in equation 1 we get;

$x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2$

Hence Initial Fee is $2.

8 0

2 years ago

Read 2 more answers

The basketballs Noah packed had two different prices. Of the total number of basketballs sold, 60% had a price that was $21 more

kirill115 [55]

Answer:

$(8967/n + 8.4)

Step-by-step explanation:

0.4nx + 0.6n(x+21) = 8967

nx + 12.6n = 8967

x = 8967/n - 12.6

x+21 = 8967/n + 8.4

Where n is the no. of balls

Example: if total balls were 300

n = 300

More expensive one would cost:

8967/300 + 8.4 = $38.29

8 0

2 years ago

Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true. {prosciutto, olives, kumquats, l

DochEvi [55]

Step-by-step explanation:

We have two sets of elements, we will call them A and B. Let's remember what does each symbol represents:

We say that A ⊆ B (A is included in B) if every element of A is also an element of B.

We say that A ⊂ B (A is strictly included in B) if every element of A is also an element of B, but there is at least one element of B that's not an element of A.

If we look our sets, we can see that all the elements on the second set are included on the first one. But the olives are on the first set and not in the second one. Therefore, the symbol that can be placed in the blank is ⊃.

If we only can use ⊂ or ⊆, without changes, the answer would be neither.

4 0

2 years ago

During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi

Afina-wow [57]

The second question:

Consider the division expression $7\frac{1}{2} / 2$ . Select all multiplication equations that correspond to this division expression.

$2 * ? = 7\frac{1}{2}$ $7\frac{1}{2} * ?= 2$ $? * 2 = 7\frac{1}{2}$

$2* 7\frac{1}{2} = ?$ $? * 7\frac{1}{2} = 2$

Answer:

1. See Explanation

2. $2 * ? = 7\frac{1}{2}$ and $? * 2 = 7\frac{1}{2}$

Step-by-step explanation:

Solving (a):

Given

$Students = 60$

$Group = Equal\ Sized$

Required

Interpret $\frac{60}{5}$ in 2 ways

<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

$Quotient = \frac{60}{5}$

$Quotient = 12$

<u>For Interpretation 1:</u>

The quotient means: 12 groups

<u>For Interpretation 2:</u>

The quotient means: 12 students

Solving (b):

Given

$7\frac{1}{2} / 2$

Required

Select all equivalent multiplication equations

Let ? be the quotient of t $7\frac{1}{2} / 2$

So, we have:

$7\frac{1}{2}/2 = ?$

Multiply through by 2

$2 * 7\frac{1}{2}/2 = ? * 2$

$7\frac{1}{2} = ? * 2$

Rewrite as:

$? * 2 = 7\frac{1}{2}$ --- This is 1 equivalent expression

Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

8 0

2 years ago

Question ?Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 810calories. Three

Annette [7]

Answer: Its 240

Step-by-step explanation:

4 0

2 years ago