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3 years ago

The graph shows the relationship between the distance a bicyclist travels and the time in hours.

Mathematics

1 answer:

Vika [28.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

a). Point (x, y) from the graph represents,

x → Time in hours

y → Distance traveled by the bicyclist (in miles)

Therefore, point (4, 60) represents the distance 60 miles traveled by

the bicyclist in 4 hours.

b). Since, distance traveled (d) is proportional to the time taken(t).

d ∝ t

d = kt

k = $\frac{d}{t}$

Here k = constant of proportionality.

k = $\frac{60}{4}$ = 15

c). Therefore, equation in the form of y = kx will be,

y = 15x

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne

Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that $n = 533, \pi = \frac{351}{533} = 0.6585$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923$

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0

3 years ago

What is the mean of the sum of positive single digit integers

Rus_ich [418]

I am pretty sure it depends on what your numbers are

6 0

3 years ago

Can someone help me graph this?

Elan Coil [88]

y axis is vertical x is horizontal

7 0

2 years ago

Multiply. use the gcf. 3/4 7/9

oee [108]

21/36.

All you have to do is multiply numerators by numerators and denominators by denominators. Simplify if needed

Please consider marking branliest if this helped

7 0

3 years ago

Joe Summers buys a gas grill and accessories. The cost, including tax, amounts to $850.00. Joe finances the grill over 12 months

Anettt [7]

Answer:

$66.5

Step-by-step explanation:

The cost, including tax, amounts to $850.00.

Down payment =$150

Amount after paying down payment = $850-$150=$700

Interest rate = 14 %

So, interest on $700 = $\frac{14}{100} \times 700 =98$

So, c = $98

Total payment = amount financed + c = 700+98=$798

Now Joe finances the grill over 12 months

So, no. of payments = 12

Now Monthly payment = Total of payments ÷ number of payments

=798 ÷ 12

=$66.5

Hence Joe's monthly payments (principal plus interest) is $ 66.5

7 0

3 years ago