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KonstantinChe [14]
3 years ago
13

Ruth knows she has a 25% chance of having a child with blue eyes and a 75% chance of having a child with brown eyes. Ruth consid

ers making a spinner to simulate the probability of having three children with blue eyes. Describe what the spinner should look like and the steps she should take to perform the simulation.
Mathematics
1 answer:
blondinia [14]3 years ago
8 0
There is two event that needs to be made: 1. blue eyes, and 2. brown eyes. A spinner is made with a circle. A full circle has 360 degrees and it would be divided based on the probability of the event.
Blue eyes have 25% chance, so the angle of the spinner would be 25%*360°= 90°
Brown eyes have 75% chance, so the angle of the spinner would be 25%*360°= 270°

So, the 90° of the circle would be written as 1(blue eyes) and 270° of the circle will be written as 2(brown eyes).
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(cosxtanx-tanx+2cosx-2)/tanx+2=cosx-1<br> can someone show me how to prove this?
uysha [10]

Answer:

See detail below.

Step-by-step explanation:

A word of caution before getting to the actual problem: I believe there is an important set of brackets missing in the original post. The expression on the left hand side should be:

(cosxtanx-tanx+2cosx-2)/(tanx+2)

Without the brackets, it is left unclear whether the denominator is just tanx or tanx+2. I recommend to use brackets wherever any doubt could arise.

Now to the actual problem: \we can make the following transformations on the left hand side:

\frac{\cos x \tan x + 2\cos x -2}{\tan x +2}=\frac{\cos x \frac{\sin x}{\cos x}  + 2\cos x -2}{\frac{\sin x +2\sin x}{\cos x} }=\\=\frac{\cos x \sin x - \sin x + 2\cos^2 x - 2\cos x}{\sin x + 2\cos x}=\\=\frac{\cos x \sin x +2\cos^2 x }{\sin x + 2\cos x}-1=\\=\cos x -1

which is shown to be the same as the right hand side, which was to be shown.

7 0
3 years ago
ASAP PLEASE HELP which answer is right???
Otrada [13]
It’s actually a. Multiply by the square root of 2

You can verify using the Pythagorean Theorem.
6 0
3 years ago
Complete. Round to the nearest hundredth if necessary.<br><br> 6 yd ≈ ____ m
professor190 [17]
Your answer is around 5.49
4 0
3 years ago
Read 2 more answers
Which of the following are solutions to the equation below? x2 + 6x + 9 =6
svetoff [14.1K]
The correct answer would be 3 +/- \sqrt{6}

In order to solve for this you must first get the equation equal to 0. 

x^2 + 6x + 9 - 6 ----> simplify like terms
x^2 + 6x + 3

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c. 

a = 1 (because it is the coefficient to x^2)
b = 6 (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation. 

\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}

\frac{-6 +/- \sqrt{6^{2} - 4(1)(3) } }{2(1)}

3 +/- \sqrt{6}

And those would be your two answers.
8 0
4 years ago
Simplify the expression below. 1/2 • 6+ 9 - (18÷6)
Semmy [17]
1/2 * 6 +9 - (18/6)
1/2 * 6 +9- 3
3+9-3
12-3
9
Hope this helps! :)
8 0
3 years ago
Read 2 more answers
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