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2 years ago

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Mathematics

1 answer:

maw [93]2 years ago

4 0

Answer:

B) d=4t

Step-by-step explanation:

let's look at two points

1. t=0, d = 0

2. t = 1, d = 4

slope = change in vertical axis (d)/ change in horizontal axis (t)

change in d = 4 = d₂-d₁

change in t = 1 = t₂-t₁

slope = 4/1 = 4

vertical variable = slope * horizontal variable + horizontal axis intercept

d = 4 * t + horizontal axis intercept

horizontal axis intercept is the vertical axis variable (d) when the horizontal axis variable (t) is at 0. at t=0, d=0

thus, d = 4 * t + 0

d = 4t (B)

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Solve the following equation in terms of x.<br><br> 20x - 3y = z

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2 years ago

A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,

Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

$n = 38$ --- the number of slots
$red = 18$ . --- the number of red slot
$black = 18$ . --- the number of black slot
$green = 2$ . --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

$p = \frac{18}{38}$

Simplify

$p= \frac{9}{19}$

The probability that the ball does not land on a red slot is calculated as:

$q = \frac{18+2}{38}$

$q = \frac{20}{38}$

Simplify

$q = \frac{10}{19}$

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

$P(R = r) = ^nC_rp^rq^{n-r}$

Where:

$n = 7$

$r = 3$

So, we have:

$P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}$

$P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4$

$P(R = 3) = 0.2854$

Hence, the value of P(R = 3) is 0.2854

Read more about probabilities at:

brainly.com/question/15246027

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2 years ago

Read 2 more answers

What is the product of −3 1/4 and −1 1/2? Enter your answer as a mixed number, in simplified form, in the box.

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The product of −3 1/4 and −1 1/2 as a mixed number is $4\frac{7}{8}$ .

The product of −3 1/4 and −1 1/2 as a simplified form is $\frac{39}{8}$

<h3>What is products and mixed numbers?</h3>

Thew products between two terms can be described as the multiplication operation of the the two terms to give a term which is been performed by the use of the operation sign (*) between the two terms.

The mixed number can be defined as the numbers that contains whole numbers as well as the denominators and numerator.

It should be noted that the product of −3 1/4 and −1 1/2 can be done as ( $-3\frac{1}{4} * -1\frac{1}{2} = -\frac{13}{4} * \frac{-3}{2} = \frac{39}{8} = 4\frac{7}{8}$