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marin [14]
3 years ago
12

A car is traveling at a constant speed of 45 miles per hour. How many feet does it travel in 3 seconds? Remember that 1 mile is 

5280 feet.
Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

First you can convert 45 miles per hour to feet per hour:

45 × 5,280 = 237,600 feet per hour

Now you must remember that there are 60 minutes in an hour, and 60 seconds in a minute. So you can divide 237,600 feet per hour by 60 to get feet per minute:

237,600 ÷ 60 = 3,960 feet per minute

Now you just have to divide 3,960 by 60 again to get feet per second:

3,960 ÷ 60 = 66 feet per second

Now you know how fast the car can travel (in feet) in a second. So to work out how many feet it travels in 3 seconds, you just have to multiply 66 by 3:

66 × 3 = 198 feet

Therefore your final answer is <em>198 feet</em> :)

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PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =
Elena-2011 [213]
<h3>Answer: D) 0</h3>

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule

f ' (x) = -8x^(-3) + (1/2)x

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4 0
3 years ago
A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98
pshichka [43]

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.36

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

4 0
2 years ago
How to write Eight more than four times a number is -12 as an equation
Ivenika [448]

Step-by-step explanation:

4x +8=-12 is the answer

8 0
3 years ago
Pls help and also no links plz​
Anettt [7]

Answer:

I think it's 5 or7

Step-by-step explanation:

hope it helps you

8 0
3 years ago
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used t
andrezito [222]

Answer:

I dont understand what the question is but

diego used 3.6 meters for the presents

and was able to make 14 wreaths

Step-by-step explanation:

9  x .4 = 3.6  

12-3.6=8.4

8.4/.6=14

4 0
2 years ago
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