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3 years ago

Which equation BEST represents the line of best fit for the scatter plot?

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

7 0

I'm not 100 percent sure I think d

aksik [14]3 years ago

6 0

It has to be D cause the y intercept

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Can someone please help me with this problem asap? Thanks!! :))

ivolga24 [154]

Answer: $\$4.34$

Step-by-step explanation:

We have the following information:

Fredburguer $F$ , milkshake $M$ and an order of fries $f$ costs $\$3.72$ :

$F+M+f=\$3.72$ (1)

One Fredburguer is equal to a milkshake plus orders of fries:

$F=M+2f$ (2)

Three milshakes is equal to a Fredburguer plus an order of fries:

$3M=F+f$ (3)

And we are asked: If we have a Fredburguer, a milkshake and two orders of fries, how much do we have to pay?

$F+M+2f=x$ (4)

Well with the first three equations we have a system of equations to solve. Let's begin by isolating $F$ from (3):

$F=3M-f$ (5)

Making (2)=(5):

$M+2f=3M-f$ (6)

Isolating $f$ :

$f=\frac{2}{3}M$ (7)

Substituting (7) in (2):

$F=M+2(\frac{2}{3}M)$ (8)

Isolating $F$ :

$F=\frac{7}{3}M$ (9)

Substituting (7) and (9) in (1):

$\frac{7}{3}M+M+\frac{2}{3}M=\$3.72$ (10)

Isolating $M$ :

$M=\$0.93$ (11) This is the cost of a Milkshake

Substituting (11) in (7):

$f=\frac{2}{3}\$0.93$ (12)

$f=\$0.62$ (13) This is the cost of an order of frieds

Substituting (11) in (9):

$F=\frac{7}{3}\$0.93$ (14)

$F=\$2.17$ (15) This is the cost of a Fredburguer

Substituting (11), (13) and (15) in (4):

$\$2.17+\$0.93+2(\$0.62)=x$ (16)

Finally:

$x=\$4.34$ This is the cost of a Fredburguer, a milkshake and two orders of fries

8 0

3 years ago

On a coordinate plane, the x-coordinate is negative and the y-coordinate is positive in which quadrant?

Nataly [62]

When x is lesser than 0

6 0

3 years ago

338 rounded to the nearest ten

Ray Of Light [21]

This would be 340 if you rounded to the nearest ten

8 0

3 years ago

The amount of the tip percent

Kaylis [27]

Answer:

16.45

Step-by-step explanation:

To find the tip we take the bill and multiply by the tip percent

tip = bill * tip percent

tip = 109.66 * 15%

= 109.66* .15

= 16.449

We round to the nearest cent

= 16.45

7 0

3 years ago

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A col

Alinara [238K]

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

$n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\$

For sample 2:

$n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\$

Calculating the null and alternative hypotheses:

$H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1$

Calculating the test statistic:

$Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693$

Calculating the conservative degrees of freedom:

$DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24$

by using Excel the p-value for left tailed test and for test statistic will be $-1.693$ with $DF = 24$ .

$\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}$

5 0

3 years ago