Nhich equation represents a line that passes through (-9, -3) and has a slope of -6?

Jordan made a bar graph to represent how he usually spends his time in a 24 hour period. Which of the following statements are t

Rudiy27

Answer:

|| and |||

Step-by-step explanation:

Don't really need one hehe.

6 0

2 years ago

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Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is $\dfrac{1}{6} = 0.1667$ .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is $\dfrac{1}{6}$ .

Numbers on the dice (X) P(X)

+1 $\frac{1}{6}$

+2 $\frac{1}{6}$

+3 $\frac{1}{6}$

-4 $\frac{1}{6}$

+5 $\frac{1}{6}$

-6 $\frac{1}{6}$

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X) = $\sum X \times P(X)$

= $(+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}$

= $\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}$

= $\frac{1+2+3-4+5-6}{6}$

= $\frac{11-10}{6}= \frac{1}{6}$

Hence, the expected value of the points earned on a single roll in this game is $\frac{1}{6} = 0.1667$ .

4 0

3 years ago

Simplify completely*******

Elodia [21]

Answer:

$\displaystyle \frac{x - 12}{4}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{2x - 24}{8}$

Step 2: Simplify

[Fraction - Numerator] Factor: $\displaystyle \frac{2(x - 12)}{8}$
[Fraction] Reduce: $\displaystyle \frac{x - 12}{4}$

8 0

2 years ago

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Angle 2 and angle 3 are _______ angles? Need help ASAP

Debora [2.8K]

Supplementary angles

4 0

3 years ago

Round 637.892 to the nearest whole number

ladessa [460]

The next larger whole number is 638 .
The next smaller whole number is 637 .

637.892 is closer to 638 than it is to 637 .

The nearest whole number is 638 .

3 0

3 years ago

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