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levacccp [35]
3 years ago
14

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
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