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3 years ago

Evaluate w+(-x)-2/3 where w= 5/9 and x=4/3

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

Answer:

-1/24

Step-by-step explanation:

Plug in X and W

5/8 - 4/3 - 2/3.

Combine like terms.

5/8 - 2/3.

Solve.

-1/24

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The probability of tossing heads with a standard coin is 1/2, because it is one of two possible outcomes. The probability of tos

spayn [35]

Answer:

a) 1/64

b) 1/4096

Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64

b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

_____

<em>Additional comment</em>

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

3 0

2 years ago

What’s the slope (rate of change) for the red?

ZanzabumX [31]

Um I think it is 2,1 count over 2 then go up1

8 0

3 years ago

According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use

Alexxandr [17]

Answer:

44.16 ; 4.88

Step-by-step explanation:

Recall :

Mean, μ = np

Sample size, n = 96

Sample proportion, p = 0.46

For the mean :

Mean, μ = 96 * 0.46

0.46 * 96 = 44.16

The standard deviation :

σ = √npq

q = 1 - p = 1 - 0.46 = 0.54

σ = √npq = √(96 * 0.46 * 0.54)

σ = √23.8464

σ = 4.88

7 0

3 years ago

(a) The lake behind a dam has an area of 55 hectares. When the gates in the dam are open, water flows out at a rate of 75 000 li

GaryK [48]

Answer:

a) The diagram shows a hemisphere with radius 6 cm.

Calculate the volume.

Give the units of your answer.

(The volume, V, of s sphere with radius r is V = 4/3πr³)

b). The diagram shows a prism ABCDEF.

The cross-section is a right angled triangle BCD. BD = 10 cm, BC = 5.2 cm and ED = 18 cm.

(i) a) Work out the volume of the Prism.

b) Calculate the angle BEC

c) The point G lies on the line ED and GD = 7 cm. Work out angle BGE

(Cambridge Assessment International Education. 0580/42, October/November 2019, Q 4)

(a)

(b)(i)a

(b)(i)b

(b)(i)c

2. The diagram shows a sector of a circle of radius 3.8 cm.

The arc length is 7.7 cm.

(i) Calculate the value of y.

(ii) Calculate the area of the sector.

(Cambridge Assessment International Education. 0580/42, May/June 2019, Q 8b)

(i)

(ii)

7 0

3 years ago

Please show work and help me pls

Gekata [30.6K]

Answer:

The answer is 207.

Step-by-step explanation:

If you do 1 ÷ 3 you'd get 3. Then move on too the 1 in 3105. 1 ÷ 1 equals 1. You do that with the 0 and the 5 in 3105. The last step too do is is do the same thing with the 5 in 15. Such as, 5 ÷ 3, 5 ÷ 1, 5 ÷ 0, and lastly 5 ÷ 5. Now if you understand just divide the two numbers in 15, which are 1 and 5 to get the quotient in the division problem. Hope this helps, I'm not the greatest at explaining!

7 0

3 years ago