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Degger [83]
3 years ago
10

nicole is taking a train yo Washington DC.The train travels 234 miles in 4 1/2 hours.Express this relationship as a unit rate

Mathematics
1 answer:
Ivenika [448]3 years ago
8 0

Answer:

52 miles per hour.

Step-by-step explanation:

Divide 234 by 4.5, as that is what you must divide 4.5 by to get 1.

234/4.5 = 52 miles per hour.

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. Find the GCF of the pair of numbers. 15 and 77​
VikaD [51]

Answer:

The GCF (Greatest Common Factor) of 15 and 77 is 1.

6 0
3 years ago
A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100 comma 000 potential donors on
rusak2 [61]

Answer:

The 99% confidence interval for the proportion of donors who donated is (0.0547, 0.0585).

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100000, \pi = \frac{5066}{100000} = 0.0566

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0566 - 2.575\sqrt{\frac{0.0566*0.9434}{100000}} = 0.0547

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0566 + 2.575\sqrt{\frac{0.0566*0.9434}{100000}} = 0.0585

The 99% confidence interval for the proportion of donors who donated is (0.0547, 0.0585).

6 0
3 years ago
HELP ME FAST ASAP
Dvinal [7]
The answer is a) y=-12
7 0
3 years ago
Fellow 9. What is the distance between (-3, 4) and (5, 1)?
zhannawk [14.2K]

Answer: The exact distance is \sqrt{73} units

The approximate distance is roughly 8.5440037 units

===========================================================

Explanation:

Use the distance formula

(x_1,y_1) = (-3,4)\\\\(x_2,y_2) = (5,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-5)^2 + (4-1)^2}\\\\d = \sqrt{(-8)^2 + (3)^2}\\\\d = \sqrt{64 + 9}\\\\d = \sqrt{73}\\\\d \approx 8.5440037\\\\

As an alternative, you can use the pythagorean theorem.

7 0
3 years ago
1/5 of 45 is what number?
Harman [31]
Divide 45 by 5. The answer would be 9.
7 0
2 years ago
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