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Dvinal [7]
3 years ago
13

A bag contains 6 red marbles, 4 blue marbles, and 1 green marble.What is the probability of choosing a marble that is not blue w

hen one marble is drawn from the bag
Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

Answer: 6/121

Step-by-step explanation:

P(not blue)= P(red) × P(green)

=6/11 × 1/11

6/121

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Black_prince [1.1K]

Answer: 2, 1.5 , -0.75

(b) 4x-3y-10=0

Step-by-step explanation:

Given

line is 3x+4y-6=0

Converting it into intercept form

\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1

So, the x-intercept is 2 and y-intercept is 1.5

The slope is given by

-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75

(b) the line perpendicular to the above line and passing through (1,-2)

The slope of the required line

m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}

Equation of the line is given by

\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0

3 0
2 years ago
Sergio is creating a college fund for his son Diego, who is now 4 years old. Sergio put $1600 in a CD that will earn 8.25% simpl
Vesnalui [34]

well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448

5 0
2 years ago
Which expression is equivalent to g5?
zaharov [31]

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9 x 9 x 9 x 9 x 9

Step-by-step explanation:

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3 years ago
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2x2 + x −#6 _____________

x2 − 1

∙ x

__

2 + 2x + 1

x 2 − 4

Rewrite as multiplication.

(2x − 3)(x + 2) __

(x + 1)(x − 1) ∙ (x + 1)(x + 1) __ (x + 2)(x − 2) Factor the numerator and denominator.

(2x − 3)(x + 2)(x + 1)(x + 1) ___ (x + 1)(x − 1)(x + 2)(x − 2) Multiply numerators and denominators.

(2x − 3)(x + 2)(x + 1)(x + 1) ___ (x + 1)(x − 1)(x + 2)(x − 2) Cancel common factors to simplify.

(2x − 3)(x + 1) __ (x − 1)(x − 2)

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