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3 years ago

Using a factor tree to find the prime factorization of 36

Mathematics

2 answers:

stellarik [79]3 years ago

6 0

36
/ \
18. 2
/ \
2. 9
/ \
3. 3 I wrote it on a phone, so it'll look different from a PC.

AleksAgata [21]3 years ago

3 0

2 / 36 2 into 36 is 18
2 / 18 2 into 18 is 9
3 / 9 3 into 9 is 3
3 / 3 3 into 3 is 1
/ 1

Therefore 36 = 2 × 2 × 3 × 3

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10. In rolling 3 dice, are the events A: Sum divisible by 3 and B: Sum divisible by 5 mutually exclusive?

dalvyx [7]

Answer: No, the events A and B are not mutually exclusive.

Step-by-step explanation:

We say any two events P and Q are mutually exclusive , if they are disjoint set such that their intersection is empty.

Given : In rolling 3 dice, we have two events

Event A: Sum divisible by 3

Event B: Sum divisible by 5

But the sum of all 3 dices can 15 and 15 is divisible by 3 and 5.

The intersection of events A and B have = {(5,5,5), (3,6,6), (6,3,6), (6,6,3),(5,4,6), (6,4,5), (4,6,5), (4,5,6), (6,5,4), (5,6,4)}

Hence, the events A and B are not mutually exclusive.

6 0

3 years ago

What does it mean for a function to have a root?

ZanzabumX [31]

Answer:

Step-by-step explanation:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

3 0

3 years ago

Read 2 more answers

Order of Operations

Rufina [12.5K]

9 - (a - 7)

Note that - = -1

First, distribute - 1 to all terms within the parenthesis

-1(a - 7) = -a + 7

9 - a + 7

Combine like terms

9 + 7 = 16

-a + 16, or A. 16 - a is your answer

hope this helps

8 0

3 years ago

Read 2 more answers

There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled

galina1969 [7]

The answer is 4.

There were in total 96 pictures (84 pictures + 12 spoiled = 96 pictures).
1 roll of film has 24 pictures. x rolls of film have 96 pictures.
1 : 24 = x : 96
x = 1 * 96 : 24
x = 4

6 0

3 years ago

HELP ME PLEASE I WILL GIVE BRAINLIEST FOR BOTH PARTS PLEASE HELP

Katen [24]

For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)

The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)

Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.

5 0

3 years ago