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2 years ago

A vehicle travels a distance of 5t^4-10t^2+6 miles in t+2 minutes how fast is the vehicles speed

1 answer:

4 0

You have to divide the distance by the time.

Distance = 5t^4 -10t^2 +6
Time = t+2

Speed = distance / time = [5t^4 -10t^2 + 6] /[t+2]

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Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s

Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is $\mu=13.4$ years and standard deviation is $\sigma=1.7$ years.

Sample size : $n=40$

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x=14

$z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23$

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

$P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z$

Hence, the required probability = 0.0129

6 0

2 years ago

Convert 4 2/3% to a fraction in simplest form.

Ainat [17]

Well it would be 4 2/3 or 14/3

3 0

2 years ago

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-3x+4y=-4 -2x+5y=9<br>solve the following system of equations

Vesnalui [34]

the answer is x= 8, and y=5

3 0

2 years ago

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Convert from radians to degrees. Show all work. You can type pi for the symbol <br> 7/12 pi

mariarad [96]

Answer:

The answer is $\frac{7\pi }{12}^{c}=105^{0}$

Step-by-step explanation:

The expression is

$\frac{7\pi }{12}^{c}\\= \frac{7\pi }{12}*\frac{180}{\pi }^{0} \,;[1^{c}=\frac{180}{\pi}^{0}]\\=7*15\\=105^{0}$

Hope you have understood this....

pls mark my answer as the brainliest

8 0

2 years ago

Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?

Fed [463]

Average rate of change of the function: $-\sqrt{3}$

Step-by-step explanation:

The average rate of change of a function f(x) can be calculated as:

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where:

$x_1, x_2$ are the x-values of the interval taken into account to evaluate the rate of change of the function

$f(x_1),f(x_2)$ are the values of the function at those points

In this problem, we have:

$x_1=8\\x_2=64$

The function is $f(x)=-x\sqrt{3}$ , so

$f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}$

So, the average rate of change in this interval is:

$r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}$

Learn more about rates of change:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

5 0

3 years ago