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Irina18 [472]
2 years ago
5

Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the n

umber of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
Mathematics
1 answer:
Goryan [66]2 years ago
8 0
Set up a proportion.
2/3 = 12/x. Cross multiply the proportion.
2x = 36. Solve for x.
x = 18.
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If the volume of the pyramid is 64 ft³; and the height is 16 ft, what is the base area measured in square feet?
Law Incorporation [45]
The volume of a pyramid would be the base area times the height.
 Given the height and volume we can find the base ares by dividing the volume by the height.

64 / 16 = 4

The base area is 4 square feet

8 0
2 years ago
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Bharat has two identical ink pens with full ink. He used 3/4th of the ink from the first pen and 2/3rd of the ink from the secon
Leno4ka [110]

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0.58333333333 Or 0.58333333333/100000000000

Step-by-step explanation:

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2 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
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Answer: 0.0031

Step-by-step explanation:

Binomial distribution formula :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

Given : A binomial probability experiment is conducted with the given parameters.

n=9,\ p=0.8,\ x\leq3

Now, P(x\leq3)=P(3)+P(2)+P(1)+P(0)

=^9C_3(0.8)^3(1-0.8)^{9-3}+^9C_2(0.8)^2(1-0.8)^{9-2}+^9C_1(0.8)^1(1-0.8)^{9-1}+^9C_0(0.8)^0(1-0.8)^9\\\\=\dfrac{9!}{3!6!}(0.8)^3(0.2)^6+\dfrac{9!}{2!7!}(0.8)^2(0.2)^7+\dfrac{9!}{1!8!}(0.8)(0.2)^8+\dfrac{9!}{0!9!}(0.2)^9=0.003066368\approx0.0031

Hence,  P(x\leq3)=0.0031

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Answer:

a square is a rectangle as it's a shape with 4 sides with 90degree angles, and pairs of sides are equal.

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