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3 years ago

D={x | x is an integer and -3 < x <1

Mathematics

1 answer:

Anarel [89]3 years ago

4 0

-2, -1, 0
These would be the options

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The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

6 0

3 years ago

How do I find the average rate of change?

Alenkasestr [34]

Answer:

add them all up together and then divide by the number of items

Step-by-step explanation:

8 0

2 years ago

How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?

Marta_Voda [28]

Answer: $45.03\ ft$

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is $\theta =30^{\circ}$

Suppose the height of the building is $h$

From the figure, we can write

$\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft$

The height of the building is 45.03 ft

8 0

2 years ago

Two years of local Internet service cost $685, including the installation fee of $85. What is the monthly fee?

AnnZ [28]

685-85=600
1 year =12 months
12 multiply by 2 =24
600 divided by 24=25
answer=25

8 0

2 years ago

Read 2 more answers

Cody has 4 cups of powdered sugar. He sprinkles 3/4 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of

Mashcka [7]

Answer:

3 cups

Step-by-step explanation:

Assumptions: How much sugar does cost sprinkle on the brownies. Cost meant Cody

Given data:

Total of 4 cups

3/4 is sprinkled onto a plate of brownies

The rest onto a plate of lemon cookies

<em>Sugar sprinkled on brownies </em>= (3/4) * 4

<em>Sugar sprinkled on brownies</em> = 3 cups.

6 0

2 years ago