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VikaD [51]
3 years ago
9

two coins and one six sided number cube are tossed together. What is the probability of getting two heads and a four?

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:

The probability of getting two heads and a four is 1/24

Step-by-step explanation:

The probability of getting a head upon a single toss of a coin, assuming the coin is fair is 1/2.

The probability of getting two heads upon tossing two coins together will simply be the product of the individual probabilities;

P (HH) = 1/2 * 1/2 = 1/4

On the other hand, the probability of getting a four upon rolling a six sided number cube is;

1/6

This is because the number 4 occurs only once in a total possible of 6 numbers.

Therefore, the probability of getting two heads and a four;

P (HH4) = 1/2 * 1/2 * 1/6 = 1/24 since the three events are independent.

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How do I solve this?
iris [78.8K]

Answer:

Step-by-step explanation:

From the picture attached,

Addition of the blocks in first row is 60

a + a + a + 12 = 60

3a + 12 = 60

3a = 60 - 12

3a = 48

a = 16

For second row,

(b + 5) + (b + 5) + (b + 5) + (b + 5) = 60

4(b + 5) = 60

b + 5 = 15

b = 10

For third row,

(a + b) + c = (b + 5) + (b + 5) + (b + 5)

a + b + c = 3(b + 5)

16 + 10 + c = 3(10 + 5) [Since, a = 16 and b = 10}

26 + c = 45

c = 45 - 26

c = 19

For fourth row,

3c + d = 60

3(19) + d = 60

57 + d = 60

d = 60 - 57

d = 3

8 0
3 years ago
Convert the mixed number 7 4/7 to a mixed decimal and round the nearest thousand
RideAnS [48]
Using a calculator, you can find out that \sf{ \frac{4}{7}\approx 0.571428571 \approx.571

and so that means \sf{ 7\frac{4}{7}\approx 7.571428571 \approx 7.571

so your answer is

\sf{ 7\frac{4}{7} \approx \huge{\boxed{7.571}}
8 0
3 years ago
Read 2 more answers
A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm. What is the hei
andrezito [222]
<em>If a rectangular prism has a volume of 470.40 cm</em><span><em>³, and the length and width is equal to 6.4 and 9.8, we will find the height by using some inverse operations. We will use the variable h to represent height</em>

<em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• h = 470.40</em>

<em>470.40 ÷ (9.8 x 6.4)</em>
<em>     = 470.40 ÷ 62.72</em>
<em>     = 7.5</em>


<em>Check Answer:</em>
</span><em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• 7.5 = 470.40</em>


<u>Answer: 7.5 cm</u>
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mina [271]

Answer:

0.625

Step-by-step explanation:

Just take a calculator and devide it

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ANSWER
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Hope this helped!
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