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Svetach [21]
3 years ago
7

Suppose that events a and b are mutually exclusive with p(a) = ½ and p(b) = ⅓.

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0
No, a & b are not independent if they're mutually exclusive.

Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.



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If line GH is perpendicular to line HJ, then GJ is ____ HJ.
valentinak56 [21]

Option A: >

Solution:

Given a triangle GHJ.

The line GH is perpendicular to line HJ.

This means the triangle is a right angled triangle.

In ΔGHJ, GH is the base of the triangle and

HJ is a height of the triangle.

Then the third side must be the hypotenuse of the right triangle.

We know that by the Pythagoras theorem,

(\text {Hypotenuse})^2=(\text{Base})^2+(\text{Height})^2

(\text {GJ})^2=(\text {GH})^2+(\text {HJ})^2

This clearly shows that the hypotenuse is greater than the height.

⇒ GJ > HJ

Option A: > is the correct answer.

If line GH is perpendicular to line HJ, then GJ is > HJ.

3 0
3 years ago
What is the approximate volume of this sphere?
Lelu [443]

Answer: The correct answer is B. 523.3...cm^3

Step-by-step explanation:

4/3*pi*r^3 is the formula

first, divide the diameter by 2 to get the radius, now, you will begin solving.

4/3*5^3*3.14

5*5*5=125

4/3*125*3.14

125*3.14=392.5

4/3*392.5

523.3...

6 0
2 years ago
Carl and rose live in the same straight road. From their balconies they can see a flagpole in the distance. The angle that each
Andreyy89

Carl and Rose' balconies make up the base of an isosceles triangle.

Their distances from the flagpole is the same.

From the question, we understand that:

  • Carl and Rose live on a straight line
  • The measure of angle from each person's balcony to the flagpole is the same

The above highlights mean that:

The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.

Where Carl and Rose' balconies form the base of the isosceles triangle.

Hence, their distances from the flagpole is the same.

Read more about distances at:

brainly.com/question/12961022

6 0
2 years ago
Jack leaves from school and goes 4 miles north and 3 miles east to reach his home. How far is his home from school?
fiasKO [112]

Answer:

  • D. 5 miles

Step-by-step explanation:

Jack forms a right triangle with his route: the distance between the school and home is the hypotenuse.

<u>It is equal to:</u>

  • √4²+3²= √25 = 5 miles

Correct choice is D

3 0
3 years ago
Write the word sentence as an inequality. Then solve the inequality.
aleksley [76]
The answer is 4x>_-12. the underscore is the line under the “>”
6 0
3 years ago
Read 2 more answers
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