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gayaneshka [121]
3 years ago
14

a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days

Mathematics
1 answer:
masha68 [24]3 years ago
4 0
34560 ounces

Step by Step Explanation:

12 x 64 = 768
768 x 45 = 34560 ounces
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A bag contains 42 red marbles, 6 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it
Elanso [62]
For any single draw,

\mathbb P(\text{white})=\dfrac6{42+6+8}=\dfrac6{56}
\mathbb P(\text{gray})=\dfrac8{42+6+8}=\dfrac8{56}

Drawing a white marble or a gray marble are disjoint events; only one of them can happen. So

\mathbb P(\text{white or gray})=\mathbb P(\text{white})+\mathbb P(\text{gray})-\underbrace{\mathbb P(\text{white and gray})}_0
\mathbb P(\text{white or gray})=\dfrac6{56}+\dfrac8{56}=\dfrac{14}{56}

Out of 224 draws, you should expect \dfrac{14}{56}\times224=56 of the marbles to be either white or gray.
6 0
3 years ago
Read 2 more answers
Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.
Evgesh-ka [11]

Answer:

AOC = 124°

Step-by-step explanation:

Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;

This can be written like so:

(3x + 94) + (x + 30) + (2x - 4) = 180

This equation can be solved to find x:

6x + 120 = 180

6x = 180 - 120

6x = 60

x = 10

AOC = 3(10) + 94

= 30 + 94

= 124

7 0
2 years ago
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A car approaches a stop sign going 10 m/s before coming to a stop. If it takes 5 seconds to
Levart [38]

Answer:

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

Step-by-step explanation:

Given

  • Initial velocity u = 10 m/s
  • Final velocity v = 0
  • Time taken t = 5 seconds

To determine

Acceleration a = ?

Using the formula to determine the acceleration

a = (v - u) / t

substituting u = 10 m/s, v = 0 and t = 5

a = (0 - 10) / 5

a = -10 / 5

a = -2 m/s²

Thus,

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

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3 years ago
What number must each side of the equation
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3 years ago
Minimize Q=3x2+3y2​, where x+y=6.
weeeeeb [17]

Answer:

+(x + y) {}^{2}  = 6 {}^{2} \\ x {}^{2} + 2xy + y {?}^{2}  = 36

x {}^{2}  + y {}^{2}  = 36 - 2xy

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q = 3(36 - 2xy) = 108 - 6xy

5 0
2 years ago
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