Yesterday you rented 4 movies. You watched 3 of them. Which choice correctly represents the movies you watched?

Mathematics

1 answer:

TEA [102]3 years ago

5 0

Choice A. 75%. 1\4 is equal to 25%. 2\4 is equal to 50%. 3\4 is equal to 75%. 4/4 is equal to 100%

You might be interested in

What is the midway of XY?

Lostsunrise [7]

The midpoint of XY is -0.5

7 0

3 years ago

If you have 12 ping pong balls how many tennis balls do you need

MrRa [10]

You will need 6 tennis balls a

7 0

2 years ago

Find the number to which the sequence {(3n+1)/(2n-1)} converges and prove that your answer is correct using the epsilon-N defini

Nat2105 [25]

By inspection, it's clear that the sequence must converge to $\dfrac32$ because

$\dfrac{3n+1}{2n-1}=\dfrac{3+\frac1n}{2-\frac1n}\approx\dfrac32$

when $n$ is arbitrarily large.

Now, for the limit as $n\to\infty$ to be equal to $\dfrac32$ is to say that for any $\varepsilon>0$ , there exists some $N$ such that whenever $n>N$ , it follows that

$\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|$

From this inequality, we get

$\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|=\left|\dfrac{(6n+2)-(6n-3)}{2(2n-1)}\right|=\dfrac52\dfrac1{|2n-1|}$
$\implies|2n-1|>\dfrac5{2\varepsilon}$
$\implies2n-1\dfrac5{2\varepsilon}$
$\implies n\dfrac12+\dfrac5{4\varepsilon}$

As we're considering $n\to\infty$ , we can omit the first inequality.

We can then see that choosing $N=\left\lceil\dfrac12+\dfrac5{4\varepsilon}\right\rceil$ will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that $N\in\mathbb N$ .

6 0

2 years ago

If there are 2 numbers outside the parentheses in the distributive property which one do u distribute

Alex_Xolod [135]

They always say to do the problem in parentheses first

3 0

3 years ago

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?

Mekhanik [1.2K]

Plot the points on a graph. Connect the dots into a triangle. See that the height of the triangle is from y=5 down to y=1. So the height is 4 units.
Area of a triangle: A = (1/2)BH

You need to find the length of the base. Which is from point (-4,1) to (0,1). You can use the distance formula r just see from the graph that the base is 4 units.

A = (1/2)(4)(4)
A = 8

** Distance formula fyi
d² = (X-x)² + (Y-y)²
with points (X,Y) and (x,y)
<span>
</span>

3 0

3 years ago