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3 years ago

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in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y

and r

1 answer:

Ipatiy [6.2K]3 years ago

4 0

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What is 3 and 1 fifth subtracted by 1 and 2 fifths

Alex Ar [27]

1 and 4/5. there is a website called 'webmath' that can help with that!

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3 years ago

In the top row of an chessboard, Tom writes the values 1, 2, 4, 8, 16, 32, 64, 128. In the leftmost column, Tom writes the value

solmaris [256]

$sum\ of\ the\ values\ in\ the\ top\ row:\\\\S=1+2+4+8+16+32+64+128= \frac{1-2^8}{1-2} =2^8-1=255\\\\ the\ sum\ of\ all\ the\ numbers\ on\ the\ chessboard:\\\\S\cdot1+S\cdot3+S\cdot9+S\cdot27+S\cdot81+S\cdot243+S\cdot729+S\cdot2187=\\\\=S\cdot(1+3+9+27+81+243+729+2187)=255\cdot \frac{1-3^8}{1-3} =\\\\=255\cdot \frac{-6560}{-2} =255\cdot3280=836,400\\\\Ans.\ the\ sum\ of\ all\ the\ numbers\ on\ the\ chessboard\ is\ 836,400$

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3 years ago

A rectangle has a height of 4 and a length of 3. What is the area of a scaled copy of this shape, if the scale factor is 2

Juliette [100K]

Answer:

48 units²

Explanation:

4(2)*3(2)

8*6

48

4 0

3 years ago

Flip 10000 fair coins. You are offered a 1-1 bet that the sum is less than 5000. You can bet 1, 2, ..., 100 dollars. How much wi

insens350 [35]

Answer:

Step-by-step explanation:

Given that 10000 times a fair coin is flipped. Since fair coin prob for head of tail =0.5

If tail comes it will be taken as 1. Hence for the sum to be less than 5000, no of heads <5000

Since trials are large we approximate to normal with mean = np = 5000 and variance = np(1-p) = 2500

Thus no of heads x is normal with (5000, 50)

$P(X$

Since this prob is less than 0.5 only minimum amount to be bet i.e. 1 dollar

If sum of coins <5100, then Z = $\frac{5100-5000}{50} =2$

P(Z<2) = 0.9500

This time we can bet maximum of 100 dollars as probability is very high nearer to 1.

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4 years ago

A square measures 6r centimeters on each side. Which monomial represents the area of the square?

OleMash [197]

Answer:

Option 4

Step-by-step explanation:

So we know that the area of a square is found by s^2. This means that we can just look for (6r)^2, since 6r is our side length! Let's see...We know that (6r)^2 is equal to 6^2 times r^2 because of the distributive property of exponents. Therefore, option 4 is our right answer. 36 is 6^2 and r^2 is r^2.

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3 years ago