MATHEMATICS HIGH SCHOOL

In Mr. Smith's 7th Hourclass there are 16 boys and
7 girls. What is the
probability of randomly
selecting a boy?

Answers

Answer 1
Answer:

binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22

(assuming children are independent and male and female are equally likely)

| probability

less than 16 boys | 0.9534

16 or less boys | 0.9827

more than 16 boys | 0.01734

16 or more boys | 0.04657

fraction of boys | 16/(16 + 7) ≈ 0.695652

fraction of girls | 7/(16 + 7) ≈ 0.304348

expected value | 11.5

standard deviation | 2.398

variance | 5.75

11.5

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Find d^4y/dx^4 given dy/dx = x^4 + x^3 + x^2 + x

Answers

Answer:

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Step-by-step explanation: ddx(x2+4y2)=ddx(4)

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The table shows the approximate measurements of the Great Pyramid of Giza in Egypt and the Pyramid of Kukulcan in Mexico.Pyramid Height (meters)
Area of the Base

(square meters
Pyramid Height (meters)
Great Pyramid of Giza 147 52,900
Pyramid of Kukulcan 30 3,025


Approximately what is the difference between the volume of the Great Pyramid of Giza a

Answers

Answer:

The difference in the volume between the Great Pyramid of Giza and the Pyramid of Kukulcan  is approximately 2561850 m³

Step-by-step explanation:

Here we have both pyramids as rectangular pyramids, therefore, volume of pyramid is given by Volume = (1)/(3) * Area \ of \ base \ * Height

For the Great Pyramid of Giza,

Height = 147 meters

Area of base = 52900 m²

Volume = 1/3 × 52900 ×147 = 2592100 m³

For the Pyramid of Kukulcan,

Height = 30 meters

Area of base = 3,025 m²

Volume = 1/3 × 3,025 × 30= 30250 m³

Therefore, the difference in the volume of the two pyramids is approximately 2592100 m³ - 30250 m³ = 2561850 m³.

Answer:

2.6 million cubic metres

Step-by-step explanation:

please kindly check the attached file for explanation

16 is 25% of what number

Answers

So the question is 16 is 25% of what number (x)

In math
"is" means equals
"of" means times

The question translates to

16 = 25% * x
16 = .25x
16/.25 = x
64 = x

x = 64

16 is 25% of 64
25% of 16 can be written as:

25% × n  = 16 (Where n represents the number which 16 will be 25% of)

25% × n is the same thing as saying:

1/4 × X = 16
X/4 = 16
X/4 × 4 = 16 × 4
X = 64

This may be a bit confusing, if you require clarification, let me know! 

A student from his window measures the angle of elevation of the top of a vertical pole to be 60° and the angle of depression of the bottom to be 30°. If the pole is 12 m away, calculate the height of the pole ​

Answers