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kolbaska11 [484]
3 years ago
12

Dorrian graphed the distance, y, traveled by 2 bikes in x seconds. If the two bikes are racing a distance of 100 feet, which bik

e will win the race?
Mathematics
2 answers:
torisob [31]3 years ago
6 0

Answer:

The bike whose position has greater y-coordinate.

Step-by-step explanation:

If Dorrian plotted the co-ordinates of the bikes with second on the x-axis and distance traveled on the y-axis, the x-coordinates of the two bikes will be the same.

But, the bike which went faster will have the greater y-coordinate and which followed the earlier will have the smaller y-coordinate.

Hence, the bike which has greater y-coordinate will win the race.

pishuonlain [190]3 years ago
4 0

Answer:

D. Bike 1 will win because the slope of the line for Bike 1 is Three-halves, which is greater than the slope of the line for Bike 2.

Step-by-step explanation:

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What is the range for this data set?<br> 22, 7, 14, 13, 38, 12, 19, <br> 17, 49, 13, 9, 18, 36​
Degger [83]

Answer:

from 7 to 49 or (7, 49)

Step-by-step explanation:

Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.

5 0
2 years ago
A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran
mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

X=48 number of vehicles classified as sports utility.

n=500 random sample taken

\hat p=\frac{48}{500}=0.096 estimated proportion of vehicles classified as sports utility vehicles.

p true population proportion of vehicles classified as sports utility vehicles.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

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=1-0.5=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:

0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070

0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .  

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0
3 years ago
2/3 of 1/2 <br> What is the answer.
Deffense [45]

Answer:

1/3 or 0.33333333333_

Step-by-step explanation:

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3 years ago
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Pick two that are NOT equivalent to 6(5x + 4) - 10
bonufazy [111]

Answer:

a and c

Step-by-step explanation:

it would be a and c because the first expreesion in the sentace equals 54

<u><em>A and C are the only options that do not equal (  They both equal 24 not 54!)  </em></u>

3 0
2 years ago
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Basile [38]

Answer:

36 = (x+7)^2 + (y-6)^2

Step-by-step explanation:

6^2=(x-(-7))^2 + (y-6)^2

4 0
2 years ago
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