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lianna [129]
3 years ago
9

Let A and B be two disjoint events such that P(A) = 0.47 and P(B) = 0.3. What is P(A or B)?

Mathematics
2 answers:
Alchen [17]3 years ago
6 0
<h3>Answer:  0.77</h3>

Work Shown:

P(A or B) = P(A) + P(B)

P(A or B) = 0.47 + 0.30

P(A or B) = 0.77

Notes:

  • The formula only works if A and B are disjoint, aka mutually exclusive
  • If A and B are not disjoint, then use this formula: P(A or B) = P(A) + P(B) - P(A and B)
GrogVix [38]3 years ago
4 0

Answer:

P(A or B) = 0.77

Step-by-step explanation:

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3 years ago
Make and explain a prediction about the nature of the solution to the following system of equations, and then solve the system.
Dominik [7]

Answer:

(3,-4) and (-3,4)

Step-by-step explanation:

x^2+y^2=25

4x+3y=0

The first equation is a circle with radius of 5 units

The second equation is a line which has slope \frac{4}{3}

So, for 4 unit change in y there will be 3 unit chang in x.

The circle has its center at the origin and the line passes through the orgin.

The line will intersect the circle at two points giving us two solutions

From the second equation we get

y=-\frac{4}{3}x

Applying in the second equation

x^2+\left(-\frac{4}{3}x\right)^2=25\\\Rightarrow x^2+\frac{16}{9}x^2=25\\\Rightarrow \frac{9x^2+16x^2}{9}=25\\\Rightarrow 25x^2=225\\\Rightarrow x^2=\frac{225}{25}\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3

When x = 3

y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times 3\\\Rightarrow y=-4

When x = -3

y=-\frac{4}{3}x\\\Rightarrow y=-\frac{4}{3}\times -3\\\Rightarrow y=4

So, the points where the line and circle intersect are (3,-4) and (-3,4)

6 0
3 years ago
I need help with this ASAP
Monica [59]

Answer:

C

Step-by-step explanation:

Since there are two arcs and they both make up a circle, and a circle has 360 degrees.

NPL+NL=360

The measure of NPL is twice the measure of NL so

it now

2NL=NPL

Substitute that in the equation

2NL+NL=360

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Since NL subtends NML they are equal so NML=120

4 0
3 years ago
Please help!!!!! I’ve been stuck for like hours
BARSIC [14]

10^2 + b^2=15^2\\\\100+b^2=225\\\\b^2=125\\\\b =\sqrt{125}\\\\b \approx \boxed{11.2}

6 0
2 years ago
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