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AURORKA [14]
3 years ago
15

Complete to get an equivalent fraction: 9/c = _____/(3c)

Mathematics
1 answer:
Furkat [3]3 years ago
4 0
Since the denominator was multiplied by 3, you have to do the same with the numerator. 9×3 = 27
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What is the probability of rolling an odd number on the six-sided cube
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It'd be a 50% chance
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A triangle has sides measuring 5 inches and 8 inches. If x represents the
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A number is picked randomly in the range [0,7]. What is the probability that the number picked is between 3 and 5? What is the p
emmasim [6.3K]

Answer:

(1) 0.125

(2) 0.125

Step-by-step explanation:

The total number of possible outcomes is:

N = 8

(1)

Compute the probability that the number picked is between 3 and 5 as follows:

Number of Favorable outcomes = 1

The probability is:

P (Number picked is between 3 and 5) = 1/8 = 0.125

Thus, the probability that the number picked is between 3 and 5 is 0.125.

(2)

The number usually picked appears to be in in the range [3,5], i.e. the numbers could be, {3, 4 or 5}.

Number of Favorable outcomes = n (Number < 4 and within [3, 5]) = 1

P (less than 4 ∩ within [3, 5]) = 1/8 = 0.125

Thus, the probability that the number picked is less than 4 knowing that the number usually picked appears to be in in the range [3,5] is 0.125.

4 0
3 years ago
Solve y^2+7y+12=0 by completing the square.​
kkurt [141]

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

8 0
3 years ago
Benjamin threw a rock straight up from a cliff that was 48 ft above the water. If the height of the rock​ h, in​ feet, after t s
fomenos

Answer: It will take 4 seconds  for the rock to hit the​ water.

Step-by-step explanation:

Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.

If the height of the rock​ h, in​ feet, after t seconds is given by the equation

h = -16 t^2+ 52 t + 48

To find : Time taken for the rock to hit the​ water.

When rock hit the water height becomes zero , i.e. put h = 0 , we get

-16 t^2+ 52 t + 48 =0

Divide equation by 2 , we get

-8t^2+26t+24=0

The Laue of x for ax²+bx+c =0 is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

So , t=\frac{-26\pm\sqrt{(26^{2}-4(-8)(24))}}{2(-8)}

t=\dfrac{-26\pm 38}{-16}\\\\ t=-\dfrac{-26+38}{-16}=-0.75\ \ t=\dfrac{-26-38}{-16}=4

Since t cannot be negative , so t= 4

Hence, it will take 4 seconds  for the rock to hit the​ water.

5 0
3 years ago
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