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aleksandr82 [10.1K]
3 years ago
10

A racecar is traveling at a constant speed of 150 miles per hour. How many feet does it travel in 5 seconds? Remember that 1 mil

e is 5280 feet.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Answer:

distance covered in 5 seconds

= 1.4283 *10^10 feet

Step-by-step explanation:

A racecar is traveling at a constant speed of 150 miles per hour.

One mile = 5280 feet

150 miles= 5290*150

150 miles= 793500 feet

A racecar is traveling at a constant speed of 793500 feet per hour.

Converting 793500 feet per hour to feet per seconds .

793500 feet per hour

= 793500*60*60 feet per seconds

=2856600000 feet per second

In 5 seconds , distance covered

= 2856600000 *5

distance covered in 5 seconds

= 1.4283 *10^10 feet

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A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
The girl ran 5 miles * 2 + 60 + 54
kupik [55]

Answer:

Equation = 1/4 x + 25 = 70

Solution = $180

Explanation:

Let the original amount she had before she went shopping be x

If she spent one-fourth on sloth, then the amount spent on cloth will be;

1/4 x

If she receives another $25 a week later totalling her money $70, then the equation that represents the situation will be;

1/4 x + 25 = 70

Find the solution

1/4 x + 25 = 70

1/4 x = 70 - 25

1/4 x = 45

x = 45 * 4

x = 180

Hence the amount she had before going for shoppind was $180

5 0
10 months ago
The following quadrilateral is a trapezoid. What is the measurement of the angle J?
GarryVolchara [31]

Answer:

65

Step-by-step explanation:

A trapezoid means that the lines are parallel, meaning that angle K + angle J = 180. So angle J = 180 = 115 = 65

8 0
2 years ago
Read 2 more answers
What is the apparent slope of the line graphed below?
Inessa [10]

Answer:

B. -2/5

Step-by-step explanation:

Use the "rise over run method"

Do this by finding two points on the graph, then finding the distance between the two points. First find the vertical distance, then the horizontal. The direction represents whether the slope will be negative or positive. When it goes up, it'll be positive, down=negative. Right=positive, left=negative. Two negatives make a positive, but one positive and one negative make a negative.

4 0
3 years ago
Which of these pieces of data about a football team is considered numerical data?
Ivenika [448]

Answer:

1. Points scored

Step-by-step explanation:

A numerical data is defined as a data that is made up of numbers representing the quantity of a measurement. It is a measurable data such as weight or height, at it can be arranged in ascending or descending order as well as being able to provide an average.

The two types of numeric data are discrete and continuous data

A categorical data is made up of item labels, names or description, that are qualitative in their nature.

Information about a football team that is considered as numeric includes

1. Points scored

Which represents a quantifiable measurement that can be different with different teams and matches

2. Attendance this year.

8 0
3 years ago
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