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aleksley [76]
3 years ago
10

If the probability of an event is 2/7, what must be the probability of its complement?

Mathematics
2 answers:
RoseWind [281]3 years ago
4 0

Answer:

\frac{5}{7}

Step-by-step explanation:

Let

x------->the probability of its complement

we know that

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1

so

in this problem

\frac{2}{7}+x=1

solve for x

Adds -\frac{2}{7} both sides

x=1-\frac{2}{7}

x=\frac{5}{7}

hichkok12 [17]3 years ago
3 0
Which one is it 5/7 or 2/7
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Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
ki77a [65]

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

8 0
2 years ago
Using distributive property what is (x+y)/3
cupoosta [38]
If you use the distributive property on (x+y)/3, the result should be:

(x/3) +  (y/3)


6 0
3 years ago
Read 2 more answers
Find the vertex of the following quadratic function and graph.<br>y=(2x+3)(x-3) ​
photoshop1234 [79]

Answer:

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8 0
3 years ago
Please see the image and help with this homework problem. thank you!
dimulka [17.4K]

we have the function

E=\sin \frac{\pi}{14}t

Part a

For t=7

substitute in the given function

\begin{gathered} E=\sin \frac{\pi}{14}7 \\ E=1 \end{gathered}

For t=14

\begin{gathered} E=\sin \frac{\pi}{14}14 \\ E=0 \end{gathered}

For t=21

\begin{gathered} E=\sin \frac{\pi}{14}21 \\ E=-1 \end{gathered}

For t=28

\begin{gathered} E=\sin \frac{\pi}{14}28 \\ E=0 \end{gathered}

For t=35

\begin{gathered} E=\sin \frac{\pi}{14}35 \\ E=1 \end{gathered}

Observation: The values of E varies from -1 to 1, including the zero

Part B

Remember that

The Period goes from one peak to the next

so

Period=2pi/B

B=pi/14

Period=(2pi)/(pi/14)=2pi*14/pi=28

<h2>the period is 28 days</h2>
6 0
1 year ago
darren has 3/4 of a gallon of soil.he needs to plant 5 small plants.if he splits the soil evenly between the plants.how much soi
Natali5045456 [20]
3/4 divides by 5

3/4 x 1/5 = 3/20 of a gallon
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