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Bezzdna [24]
3 years ago
7

You have a box containing 6 white, 4 red, and 8 black marbles. You pick a marble and it is red. You then pick a white marble. On

the third attempt, you pick a white marble again. What are the chances that on the fourth try you will pick a black marble? (Hint: You have not replaced the marbles you picked).

Mathematics
2 answers:
Artemon [7]3 years ago
6 0
If you initially have 6 W, 4 R, and 8 B, and you take away two whites and a red, then you have 4W, 3 R and 8 B. There are 15 marbles total, and 8 black marbles, so you have an 8 in 15 or 53% chance of picking a black marble.
Ronch [10]3 years ago
3 0
I hope it helps!........

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Joelle would like to tip her hairdresser 20%. If her haircut was $38.00, which expression should she use to find the tip amount?
Vilka [71]
I pretty sure you would use x over 38.00 = 20 over 100 then cross multiply them
6 0
3 years ago
Two cables support a 800​-lb ​weight, as shown. Find the tension in each cable.
jeka94

Answer:

  • 892 lb (right)
  • 653 lb (left)

Step-by-step explanation:

The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...

  Rcos(45°) +Lcos(75°) = 800

  Rsin(45°) -Lsin(75°) = 0

Solving these equations by Cramer's Rule, we get ...

  R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))

     = 800sin(75°)/sin(120°) ≈ 892 . . . pounds

  L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds

The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.

_____

This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...

  (right, left) = w/sin(α+β)×(sin(β), sin(α))

5 0
3 years ago
For the diagram at right, write and solve an equation to find x
Tomtit [17]

Answer:

x = 24

Step-by-step explanation:

The formula for determining the sum of interior angles is:

(n-2) * 180

4 * 180 = 720

Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.

(2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24

The equation and answer above shows how to find x, which equals 24.

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=Maria%20earns%20%24603.75%20for%2035%20hours%20of%20work.%20What%20is%20her%20rate%20of%20pay%
Solnce55 [7]

Answer:$17.25 is her rate per hour

Step-by-step explanation:

Do 603.75/35

Which $17.25

4 0
3 years ago
What is the equation of the line that passes through the points 15, nine and -2, nine
olasank [31]

Answer:

y=9

Step-by-step explanation:

y=mx+c

gradient of a horizontal line is 0

y=0x+9

y=9

5 0
3 years ago
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