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3 years ago

What factors does Jenna need to model for the sides?

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

Do you know the muffin man 2*+%9272

gizmo_the_mogwai [7]3 years ago

7 0

How does the picture look?

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A fair four-sided die has two faces numbered 0 and two faces numbered 2. Another fair four-sided die has its faces numbered 0, 1

Mandarinka [93]

The two dice have PMFs

$P(X=x)=\begin{cases}\dfrac12&\text{for }x\in\{0,2\}\\\\0&\text{otherwise}\end{cases}$

$P(Y=y)=\begin{cases}\dfrac14&\text{for }y\in\{0,1,4,5\}\\\\0&\text{otherwise}\end{cases}$

The sum of the two rolls can take on 8 different values:

$W=\begin{cases}0&\text{if }x=0,y=0\\1&\text{if }x=0,y=1\\2&\text{if }x=2,y=0\\3&\text{if }x=2,y=1\\4&\text{if }x=0,y=4\\5&\text{if }x=0,y=5\\6&\text{if }x=2,y=4\\7&\text{if }x=2,y=5\end{cases}$

The outcome of either roll is independent of the other, so that

$P(X=x\text{ and }Y=y)=P(X=x)P(Y=y)$

a. Then PMF of $W$ is

$P(W=w)=\begin{cases}\dfrac12\cdot\dfrac14=\dfrac18&\text{for }w\in\{0,1,2,3,4,5,6,7\}\\\\0&\text{otherwise}\end{cases}$

b. The histogram is nothing special, same as the discrete uniform distribution over the interval [0, 7].

3 0

4 years ago

What is the solution to the linear equation? x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction e

Anton [14]

<em>Your question is not well presented</em>

Question:

What is the solution to the linear equation?

$x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x$

Answer:

$x = \frac{-5}{3}$

Step-by-step explanation:

Given

$x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x$

Required

Simplify

$x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x$

Add $\frac{1}{2}$ to both sides

$x - \frac{2}{3}x - \frac{1}{2} + \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}$

$x - \frac{2}{3}x = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}$

Subtract $\frac{5}{6}x$ from both sides

$x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{5}{6}x + \frac{1}{2} - \frac{5}{6}x$

$x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2} + \frac{5}{6}x- \frac{5}{6}x$

$x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2}$

Take LCMs

$\frac{6x - 4x -5x}{6}= \frac{2+3}{6}$

$\frac{-3x}{6}= \frac{5}{6}$

Multiply both sides by 6

$6 * \frac{-3x}{6}= \frac{5}{6} * 6$

$-3x= 5$

Divide both sides by -3

$\frac{-3x}{-3}= \frac{5}{-3}$

$x = \frac{5}{-3}$

$x = \frac{-5}{3}$

5 0

4 years ago

Read 2 more answers

In circle N with the measure of arc \stackrel{\Large \frown}{MP}= 114^{\circ} MP ⌢ =114 ∘ , find \text{m} \angle MNPm∠MNP

Roman55 [17]

According to the central angle theorem, the measure of angle MNP = 114°.

<h3>What is the Central Angle Theorem?</h3>

According to the central angle theorem of a circle, the measure of central angle MNP equals the measure of intercepted arc MP.

Measure of arc MP = 114°

Measure of angle MNP = arc MP

Measure of angle MNP = 114° [central angle theorem]

Learn more about the central angle theorem on:

brainly.com/question/5436956

#SPJ1

6 0

2 years ago

Is this a function? (Picture included) need quick help

Softa [21]

No. Because the "2&3" (input) arrows both point to the "4" (output) which means the all the point would be:
(-1,1) , (2,4) , (3,4) , and (5,6)

Functions can NOT have 2 of the same Xs

8 0

4 years ago

#2 A triangle has a height three times its base. The area of a triangle is 73.5

cestrela7 [59]

Answer: See explanation

Step-by-step explanation:

Let the base be represented by x.

Therefore, the height will be = 3 × x = 3x

Since Area of a triangle = 1/2 × base × height

1/2 × x × 3x = 73.5

3x²/2 = 73.5

3x² = 73.5 × 2

3x² = 147

x² = 147/3

x² = 49

x = ✓49

x = 7

Base = 7cm

Height = 3 × 7 = 21cm

6 0

3 years ago