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rjkz [21]
3 years ago
13

Complete each sentence to make a true statement.

Mathematics
2 answers:
storchak [24]3 years ago
8 0

Answer:

1/6, 1/4.

Step-by-step explanation:

The theoretical probability of rolling a 2 on a single roll of a number cube is 1/6,  because there are 6 numbers ( 1 to 6) on a cube.

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is 1/4, because there are 4 different colours on the spinner.

Vinil7 [7]3 years ago
8 0

Answer:

(a) 1/6

(b) 1/4

Step-by-step explanation:

Formula for theoretical probability:

probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}

(a)

We need to find the theoretical probability of rolling a 2 on a single roll of a number cube.

Total outcomes = 6

Favorable outcomes = 1

The theoretical probability of rolling a 2 on a single roll of a number cube is

P=\frac{1}{6}

(b)

We need to find the theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

Total outcomes = 4

Favorable outcomes = 1

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

P=\frac{1}{4}

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In triangle DEF. DF = 16 and m<F = 45Find the length of a leg. Leave your answer in simplest radical form.
kotegsom [21]
I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
 hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
6 0
3 years ago
-2(x + 2) = -2x ++ 5x -1
earnstyle [38]

Answer:

-⅗ = x

Step-by-step explanation:

Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:

-2x - 4 = 3x - 1

Here is the solution:

-2x - 4 = 3x - 1

-3x -3x

----------------

-5x - 4 = -1

4 +4

----------------

-5x = 3

----- -----

-5 -5

x = -⅗

I am joyous to assist you anytime.

8 0
3 years ago
Olivia thinks of a number she multiplies her number by 6 and gets an answear of -54 what was her original number
erastovalidia [21]

Answer:

-9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify fully<br> 2x power two + 9x + 10 ÷ 2x+5 <br> pls need answer quickly
Lunna [17]

Answer:

2x^2+14x+5

Step-by-step explanation:

x^2+9x+5x+5

Combine Like Terms:

=2x^2+9x+5x+5

=(2x^2)+(9x+5x)+(5)

=2x^2+14x+5

7 0
3 years ago
What is the length of if ?<br><br> 8 in.<br> 8.75 in.<br> 10.25 in.<br> 14 in.
quester [9]

Answer:

Diagram attached

AJ = 8.75 in.  

Step-by-step explanation:

Since triangles HBA & HKJ are similar,    

BH/AH = KH/JH  

3 in /5.25 in = 8 in /JH  

JH = 14 in  

JA = JH - AH = JH - 5.25 in = 8.75 in


HJ = 14 in.

AJ = 14 in - 5.25 in  

AJ = 8.75 in.  

7 0
3 years ago
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