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2 years ago

The graph of the line represents the cost of renting a kayak. Write a linear

Mathematics

1 answer:

kherson [118]2 years ago

4 0

Answer:

y= 3x + 7

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the standard form of the line:

y - mx + b where:

m is the slope
b is the y-intercept

As we know, the slope can be found with this formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

From the line, we can choose the two points to find the slope of the equation:

(0, 7)

(1, 10)

=> m = $\frac{10-7}{1-0} = \frac{3}{1} =3$

=> y = 3x + b (1)

Because the line goes through point (0, 7) so we substitute it into (1) to find b, we have:

7 = 3*0 + b

<=> b = 7

Hence, our equation is: y = 3x + 7 represent the relationship of the total

cost, c, of renting a kayak for hours

Hope it will find you well.

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Anthony borrows $6.50 from a friend to pay for a sandwich and drink at lunch. Then he borrows $3.75 from his sister to pay a lib

Katen [24]

Money borrowed by Anthony from his friend for a sandwich and drink at lunch = $6.50

Money borrowed by Anthony from his sister to pay a library fine = $3.75

Hence, the equation to express Anthony's total debt that day will be =

Let T be the total debt , so the equations becomes,

6.50 + 3.75 = T

8 0

2 years ago

Read 3 more answers

Of the 500 sample households in the previous exercise, 7 had three or more large-screen TVs. (a) The percentage of households in

likoan [24]

Answer:

a) The percentage of households in the town with three or more largescreen TVs is estimated as :

The best estimation for the population proportion is :

$\hat p=\frac{7}{500}=0.014$

And that represent the 1.4%.

b) And the 95% confidence interval would be given (0.00370;0.0243).

And the % would be between 0.37% and 2.43%.

Step-by-step explanation:

Data given and notation

n=500 represent the random sample taken

X=7 represent the households with three or more large-screen TVs

$\hat p=\frac{7}{500}=0.014$ estimated proportion of households with three or more large-screen TVs

$\alpha=0.05$ represent the significance level (no given, but is assumed)

z would represent the statistic (variable of interest)

p= population proportion of households with three or more large-screen TVs

Part a

The percentage of households in the town with three or more largescreen TVs is estimated as :

The best estimation for the population proportion is :

$\hat p=\frac{7}{500}=0.014$

And that represent the 1.4%.

Part b

Yes is possible. We hav that $np>10$ and $n(1-p)>10$ so we have the assumption of normality to find the interval.

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.014 - 1.96 \sqrt{\frac{0.014(1-0.014)}{500}}=0.00370$

$0.014 + 1.96 \sqrt{\frac{0.014(1-0.014)}{500}}=0.0243$

And the 95% confidence interval would be given (0.00370;0.0243).

And the % would be between 0.37% and 2.43%.

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2 years ago

One way to solve the system is to _____________ a variable.

Ivahew [28]

One way to solve the system is to <u>substitute</u> a variable.

<u>Explanation:</u>

One approach to solve an equation is by substitution of one variable. Right now, a condition for one factor, at that point substitute that arrangement in the other condition, and explain. All value(s) of the variable(s) that fulfills a condition, disparity, arrangement of conditions, or arrangement of imbalances.

The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.

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2 years ago

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If the profits in your consulting business increase by 6% one year and decrease by 3% the following year, your profits are up

Naddika [18.5K]

Answer:

its 1.388 p

Step-by-step explanation:

i hope this helps

3 0

2 years ago

A prisoner is trapped in a cell containing three doors. The first door leads to a tunnel that returns him to his cell after two

Greeley [361]

Answer:

The expected number of days until the prisoner reaches freedom is 2.8.

Step-by-step explanation:

Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.

Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.

Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.

What is the expected number of days until the prisoner reaches freedom?

We multiply the probability of each door being used by the time that it leads to the cell. So

E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8

The expected number of days until the prisoner reaches freedom is 2.8.

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2 years ago