Ask question

Ask question

All categories

3 years ago

15

While training for a marathon, Keith's watch reported how many calories he burned at each mile marker. For 1 mile he burns 117 c

alories.is the number of calories proportional to the number of miles ? explain

1 answer:

rosijanka [135]3 years ago

7 0

No it’s is not proportional because for every mile he would have to burn exactly 117 calories and the ratio of the happening is very slim

You might be interested in

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a

enyata [817]

Complete Question

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.

a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies

a-2) What is the standard deviation?

a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?

Answer:

a-1 $\= x = 11 .52$

a-2 $\sigma = 2.036$

a-3 $P(3) = 4.7*10^{-5}$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 18$

The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64

The proportion of adult that feel otherwise is

$q = 1- p = 1-0.64 = 0.36$

The mean is mathematically evaluated as

$\= x = n * p$

substituting values

$\= x = 18 * 0.64$

$\= x = 11 .52$

The standard deviation is mathematically represented as

$\sigma = \sqrt{ npq}$

substituting values

$\sigma = \sqrt{18 * 0.64 * 0.36}$

$\sigma = 2.036$

The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as

$P(3) = \left n} \atop \right. C_3 (p)^{3} * (q)^{n-3}$

Now

$\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}$

substituting values

$\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 }{ (3 *2 *1 )}$

$\left n} \atop \right. C_3 = 816$

So

$P(3) = 816 * (0.64 )^3 * (0.36 )^{18-3}$

$P(3) = 4.7*10^{-5}$

8 0

3 years ago

What is the graph of g(x)=(0.5)^x+3-4

Vedmedyk [2.9K]

That's a line:

g(x)=0.5*x-1, pick up some x, and get the y.

For instace: x=0, g(0)=y=-1, x=2, g(2)=y=0.

Two pints are enough for a line.

6 0

3 years ago

Is g(x)=4+x^2/1+x^4 even, odd or neither

UkoKoshka [18]

Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.

<h3>Is the given function even, odd or neither?</h3>

Given the function in the question;

g(x) = (4 + x²)/(1 + x⁴)

To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.

g(x) = (4 + x²)/(1 + x⁴)

g(-1) = (4 + (-x)²)/(1 + (-x)⁴)

Simplify

g(-x) = (4 + x²)/(1 + x⁴)

Hence,

g(-x) = g(x)

Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.

Learn more about even functions here: brainly.com/question/23446734

#SPJ1

4 0

2 years ago

If the angle between each blade of the wind turbine is the same, and each blade has a length of 20 meters, find the distance bet

Ket [755]

A typical windmill has three blades. We can envision these blades in a circle, which a circle = 360 degrees. We want to divide up the angles of the blades so they are even or makes up 360 degrees. We have three blades so we have 3 angles to divide by 360 degrees. So, 360 / 3 = 120 degrees. Now that we know the angle of the blades, we can use the Law of Cos to solve the distance between the blade tip.

Law of Cos

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

We know

a = 20

b = 20

A = Angle = 120

We need to solve for c

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

Take the square root of each side of the =

$\sqrt{c^2} = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

$c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

Input the values we know into the formula and solve for c:

$c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

$c = \sqrt{20^2 + 20^2 - 2(20)(20)(\cos 120)}$

$c = \sqrt{400 + 400 - 2(20)(20)(\cos 120)}$

$c = \sqrt{800 - 2(20)(20)(\cos 120)}$

$c = \sqrt{800 - 2(400)(\cos 120)}$

$c = \sqrt{800 - 800(\cos 120)}$

$c = \sqrt{800 - (-400)}$

$c = \sqrt{1200}$

$c = 20\sqrt{3}$

$c = 34.641016$

$c = 34.64$

We now have our answer, which is 34.64 and that is C.

3 0

4 years ago

Find the area of each triangle. Round your answers to the nearest tenth

romanna [79]

Answer:

5. 25.4 6. 53.5 7. 107.9

Step-by-step explanation:

since you do not know the height you do the side time the base times the gamma or the angle degrees

4 0

4 years ago