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3 years ago

You roll a 6-sided die twice. What is P(1, less than 3)? Simplify

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer:

1/18

Step-by-step explanation:

Probability of 1 is 1 out of 6:

Probability of less than 3 is:

1 or 2 out of 6 = 2/6 = 1/3

P(1, less than 3) is

1/6* 1/3 =
1/18

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In the triangles shown, ABC is dilated by a scale factor of to form XYZ. Given that mA = 45o and mB = 105o, what is mZ?

kompoz [17]

The value of angle Z is 30 degrees

<h3>How to determine the value of angle Z?</h3>

The given parameters are:

ABC is dilated to form XYZ

This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal

So, we have the following angle equations

A = X

B = Y

C = Z

Also, we have

A + B + C = 180

Substitute C = Z in A + B + C = 180

A + B + Z = 180

Substitute A = 45 and B = 105

So, we have:

45 + 105 + Z = 180

Evaluate the like terms

150 + Z = 180

Subtract 150 from both sides

Z = 30

Hence, the value of angle Z is 30 degrees

Read more about angles at:

brainly.com/question/25716982

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4 0

2 years ago

1. 400 +4 2. 320+ 4 3. 360 +9 4. 5,0005 5. 3,000 +5

Liono4ka [1.6K]

Answer:

1. 400 ÷ 4 = 100

2. 320 ÷ 4 = 80

3. 360 ÷ 9 = 40

4. 5000 ÷ 5 = 1000

5. 3000 ÷ 5 = 600

6 0

3 years ago

Read 2 more answers

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

3 0

3 years ago

WILL GIVE BRAINLIST!!!!

Feliz [49]

Answer:

What is the question?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

1. What are two other ways you could rewrite 50%?

NNADVOKAT [17]

0.5 is the first way

1/2 is the second way

50% is the third way.

Hope that helps bud :).

8 0

3 years ago