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Oduvanchick [21]

3 years ago

13

A 6-sided number cube is rolled. What is the probability that it will land on a number greater than 2?

1 answer:

vagabundo [1.1K]3 years ago

3 0

Answer:2/3 or 66%

Step-by-step explanation:

So, what are the numbers greater than Not equal to 2 and less than equal to 6 ? 3,4,5,6 so that’s 4 out of 6 which simplified to 2/3 or 66%

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Let f (x) = 3x − 1 and ε > 0. Find a δ > 0 such that 0 < ∣x − 5∣ < δ implies ∣f (x) − 14∣ < ε. (Find the largest

s344n2d4d5 [400]

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and $\varepsilon>0$ , we want to find a $\delta$ such that $|f(x)-14|$

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that $|x-5|$ . Then

$|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta$ .

Then, if $|x-5|$ , then $|f(x)-14|$ . So, in this case, if $3\delta \leq \varepsilon$ we get that $|f(x)-14|$ . The maximum value of delta is $\frac{\varepsilon}{3}$ .

By definition, this procedure proves that $\lim_{x\to 5}f(x) = 14$ . Note that f(5)=14, so this proves that f is continous at x=5.

3 0

2 years ago

ANSWER PLS! Dont just respond for the points pls

dexar [7]

The answer to the question in the photo is 21

3 0

2 years ago

Read 2 more answers

-5x-18y=-28 and -10x+9y=-11 solve elimination

Dmitry [639]

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=2,\:y=1$

Step-by-step explanation:

Given the equations

$-5x-18y=-28$

$-10x+9y=-11$

solving the system of the equation by elimination method

$\begin{bmatrix}-5x-18y=-28\\ -10x+9y=-11\end{bmatrix}$

$\mathrm{Multiply\:}-5x-18y=-28\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-10x-36y=-56$

$\begin{bmatrix}-10x-36y=-56\\ -10x+9y=-11\end{bmatrix}$

$-10x+9y=-11$

$-$

$\underline{-10x-36y=-56}$

$45y=45$

$\begin{bmatrix}-10x-36y=-56\\ 45y=45\end{bmatrix}$

solve 45y=5 for y:

$45y=45$

$\frac{45y}{45}=\frac{45}{45}$

$y=1$

$\mathrm{For\:}-10x-36y=-56\mathrm{\:plug\:in\:}y=1$

solve $-10x-36\cdot \:1=-56$ for x:

$-10x-36\cdot \:1=-56$

$-10x-36=-56$

Add 36 to both sides

$-10x-36+36=-56+36$

$-10x=-20$

$\frac{-10x}{-10}=\frac{-20}{-10}$

$x=2$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=2,\:y=1$

5 0

3 years ago

The percentage of forest area is determined by dividing the forest area by the total land area of a region.

emmainna [20.7K]

Answer: oh should we not look for it haha you just got burned

Step-by-step explanation:

5 0

2 years ago

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The table shows the height of a ball that was dropped from a 380-foot tower. What was the ball's rate of fall during the first 3

Alex

Answer:

60ft/s

Step-by-step explanation:

To find the rate

rate = f(3) - f(0)

-------------

3-0

rate = 200-380

---------------

3-0

rate = -180/3 = -60 ft/s

The negative tells us it is falling

The fall falls 60ft/s

8 0

3 years ago

Read 2 more answers