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mrs_skeptik [129]
3 years ago
12

in 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in the meters per minute.

Complete the table to find Mr. Castelli’s average driving speed in meters per minute by using the units as a guide.

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

1,350 meters per min

Step-by-step explanation:

Given that Mr. Castelli covers 125 miles in 2.5 hours, the average speed = \frac{distance}{time}.

In miles per hr, average speed = \frac{125}{2.5} = 50 miles/hr.

Converting 50 miles/hr to km per hr:

If 1 miles = 1.62 km (unit conversion)

50 miles = 50*1.62 = 81 km/hr

Converting 81 km/hr to meters per hr:

1 km = 1,000 m (unit conversion)

81 km = 81*1,000 = 81,000 m/hr

Converting 81,000 m/hr to meters per minutes:

60 mins = 1 hr

Therefore, average speed = \frac{81,000}{60} = 1,350 meters/min

Average driving speed of Mr Castelli in meters per minute = 1,350 meters per minute.

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Identify the vertex, focus axis of symmetry, and directrix. Then sketch the graph
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Answer:

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directrix = x = -\frac{95}{16}

GRAPH :

5 0
2 years ago
Consider the equation x+4=−2x+19. Let f(x)=x+4and g(x)=−2x+19. The graph of each function is shown. Coordinate plane with the gr
Svetach [21]

The point of intersection of both graphs will have the coordinate (5, 9).

<h3>What is the Point of Intersection of the Graph?</h3>

We are given the functions;

f(x) = x + 4

g(x) = -2x + 19

Now, the point of intersection of both graphs is when both functions are equal which is at f(x) = g(x). Thus;

x + 4 = -2x + 19

x + 2x = 19 - 4

3x = 15

x = 15/3

x = 5

Thus;

f(x) = 5 + 4 = 9

g(x) = -2(5) + 19 = 9

Thus, the point of intersection of both graphs will have the coordinate (5, 9)

Read more about Graph Intersection at; brainly.com/question/11337174

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4 0
2 years ago
Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of
maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

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}.

Out of 100 people sampled, 42 had kids.

This means that n = 100, \pi = \frac{42}{100} = 0.42

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value 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}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

7 0
3 years ago
Can someone please give me the answers to my math homework
jok3333 [9.3K]

Answer: #1 is 10. #2 is 24. #3 is 3 1/5. #4 is 1 1/9. #5 is 21. #6 is 10 2/3. #7 is 30. #8 is 11 3/7. I’m only telling you eight of them because you are in fifth grade and you should try to complete the worksheet even if you mess up. You will learn from your mistakes after the paper is graded.


Step-by-step explanation: To get the answer, all you have to do is flip the second number and then multiply.


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What expressions are equivalent to -56z + 28
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Step-by-step explanation:


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