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romanna [79]
3 years ago
14

Two coins and one six sided number cube are tossed together

Mathematics
1 answer:
Triss [41]3 years ago
7 0

Answer:

1/24

Step-by-step explanation:

two coins each have a 1/2 probability of landing on heads so we multiply

1/2 x 1/2 = 1/4 probability of getting heads twice

we have a 1/6 chance of landing on a 4

so we multiply 1/6 x 1/4

which equals 1/24

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Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.
ankoles [38]

Answer:

Step-by-step explanation:

To prove: The sum of a rational number and an irrational number is an irrational number.

Proof: Assume that a + b = x and that x is rational.

Then b = x – a = x + (–a).

Now, x + (–a) is rational because addition of  two rational numbers is rational (Additivity property).

However, it was stated that b is an irrational number. This is a contradiction.

Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.

Hence,  the sum of a rational number and an irrational number is irrational.

4 0
3 years ago
Read 2 more answers
Find two numbers with a sum of 20 and a difference of 14
sergey [27]

Find two numbers with a sum of 20 and a difference of 14


Make two equations

X+Y=20

X-Y=14


Now add x since y cancels out and add 20+14 To end up with

2x=34


Now divide 2 both sides to get x alone

2x/2=34/2


X=17


Now substitute x answer to first equation and solve for y

17+y=20


Subtract 17 both sides

Y= 3

Your two numbers are

3 and 17

4 0
3 years ago
WILL MAKE BRAINLIEST!!
charle [14.2K]
Answer
a first one is 52 (90-38=52)
Second one is 32 (180-148=32
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6 0
2 years ago
Multiply (2x^3 + 1)(5x^2 +4) and write your result in simplest form.
tatyana61 [14]
(2x^3)*(5x^2)+(2x^3)*(4)+(1)*(5x^2)+(1)*(4)
10x^5+8x^3+5x^2+4

8 0
3 years ago
A 50-foot ladder leans against a building. If the base of the ladder is 6 feet from the base of the building, what is the angle
adell [148]

Answer:

The angle between the building and the ladder \theta = 6.9°

Step-by-step explanation:

Given data

AB = 50 ft = length of the building

BC = 6 ft

\theta = Angle between the ladder & building

From Δ ABC

\sin \theta = \frac{BC}{AB}

\sin \theta= \frac{6}{50}

\theta = 6.9°

This is the angle between the building and the ladder.

4 0
3 years ago
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