All categories

2 years ago

Which of the following scenarios MUST represent two independent events?

Mathematics

1 answer:

egoroff_w [7]2 years ago

7 0

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

You might be interested in

Write using algebra.<br><br> Jimmy ran m miles in t minutes. What was his speed?

Ilya [14]

Speed = m x t. as the equation

6 0

3 years ago

Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).

Luden [163]

The y-value is the one on the right. Therefore, the y-value of P is 6. Following the rule, the y-value of P' is 6-16= -10.

8 0

3 years ago

Read 2 more answers

Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

7 0

3 years ago

Is proportional or not?

Eduardwww [97]

top four are yes yes no yes

8 0

3 years ago

What is the solution set for this inequality?

Ostrovityanka [42]

Answer:

X<-4

Step-by-step explanation:

-3x+10>22

subtract 10 to both sides

-3x>12

divide by -3 on both sides

when you divide by a negative number you flip the sign so the answer will be x<-4

8 0

3 years ago