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3 years ago

What is the probability that an event is certain to occur?

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer: 1

Explanation: An event whose occurrence is 100% sure, those events are called certain events.

The probability of such an event is always 1.

Example: The probability of getting a number between 1 to 6 when rolling a die is a certain event.

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What is z if -1/3+2z=-5/6?

Wittaler [7]

-1/3+2z=-5/6
-2/6+2z=-5/6
Add 2/6 to both sides:
2z=-3/6
2z=-1/2
Divide both sides by 2
z=-1/4

Hope this helps :)

7 0

4 years ago

The circumference of a circle is 11x inches.

allsm [11]

Answer:

40.6944 is your answer

Step-by-step explanation:

3.6×3.14=11: 3.6×3.6=40.6944 /41

5 0

3 years ago

Factor completely -2x^3 + 6x^2

Bumek [7]

We can factor a -2 and an x^2 out of this using GCF.

<h3><u>-2x^2(x - 3) is what we're left with, and is the fully factored form.</u></h3>

3 0

3 years ago

Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180

Oduvanchick [21]

<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$4 + 2 sin(x)= 14-8 sin(x)$

<h3>2. Subtract "4" from both sides of the equation.</h3>

$-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)$

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

$2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10$

<h3>4. Divide both sides by 10.</h3>

$\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1$

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

$arcsin(sin(x))=arcsin(1)\\ \\x=90$

<h3>6. Conclude.</h3>

<u>x= 90°</u>.

3 0

2 years ago

A medication bottle contains a total of 900mg of liquid medication. The client stated that he accidentally spilled 1/3 of the me

Alja [10]

Answer:

300 mg

Step-by-step explanation:

900 mg spilled 1/3

1/3 * 900 = 900/3 = 300mg lost

7 0

2 years ago