All categories

3 years ago

Describe a real-world situation that the graph could represent. Then describe the possible values for each variable

Mathematics

1 answer:

Alex777 [14]3 years ago

8 0

Answer:

$Speed=distance/time$ i.e. relation between speed-distance-time is one such situation that can be modeled using graph

Step-by-step explanation:

There are many real world examples that can be modeled using graph. Graphs are represented on co-ordinate planes, so any real world example that can be represented by use of linear equation can be represented onto a graph.

One such example, is speed-distance-time relation. Uniform speed can be represented on a graph as shown in figure.

So, the equation for speed is represented by equation as follows:

$Speed=distance/time$

So, if we take distance on y axis and time on x axis with points as (distance,time)

(0,0) ==> $v=0/0=0$

(1,2) ==> $v=1/2=0.5$

(2,2) ==> $v=2/2=1$

the following points 0,0.5,1 will be plotted on graph. Similarly, more values can be plotted by assuming values for distance and time.

You might be interested in

A parent volunteer group is raising money by making custom hats to sell at school activities. They plan to sell the hats for $12

Misha Larkins [42]

Answer:

B. (12-6) n - 50

Step-by-step explanation:

Given that:

Cost of making hat = $6 per hat

Selling price = $12 per hat

Advert cost = $50

Number of hats made = n

The profit or money raised from the sales of hat:

Total Revenue from sales - total cost of production - advert cost

Total Revenue from sales = ($12 * n) = $12n

Total cost of production = ($6 * n) = $6n

Advert cost = $50

Hence,

12n - (6n + 50)

12n - 6n - 50

(12 - 6)n - 50

8 0

3 years ago

Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per we

Lisa [10]

Answer:

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour×number of hours worked(h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns=(7×h)=7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour×number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5(h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5(h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours=(5+2)= 7 hours

Karl works 7 hours a week

7 0

3 years ago

According the bar graph above, which month saw the lowest number of student ticket sales?

lesantik [10]

There's no graph. Btw.

5 0

3 years ago

Correct answers only please!

Naily [24]

Answer:

1st Question

A. 85

2nd Question

B. 71

Step-by-step explanation:

1st Question

{90 + 94 + 96 + 90} = 370/4 = 92.5

{95 + 99} = 194/2 = 97

{87 + 75 + 82 + 85} = 329/4 = 82.25

{71} = 71/1 = 71

.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175 Rounded-up = 85

___________________________________________________

2nd Question

.10(95) +.20(80) +.50(67) +.20(60) = 71

7 0

3 years ago

A null hypothesis is that the mean nose lengths of men and women are the same. The alternative hypothesis is that men have a lon

algol [13]

Answer:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

See explanation below.

Step-by-step explanation:

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:

Null hypothesis: $\mu_{men} \leq \mu_{women}$

Alternative hypothesis: $\mu_{men} > \mu_{women}$

Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Let's assume that the calculated statistic is $z_{calc}$

Since is a right tailed test test the p value would be:

$p_v =P(Z>z_{calc})=0.225$

And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that $p_v >\alpha$

And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

8 0

3 years ago