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3 years ago

How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100-ft radius?

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Answer:

Number of flowers required = 1256

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

= 200π

= 628.32 ft

Distance between each flower = 6 in

≈ $\frac{6}{12}$

= 0.5 ft

Number of flowers = $\frac{\text{Circumference}}{\text{Space between each flower}}$

= $\frac{628.32}{0.5}$

= 1256.63

≈ 1256

Therefore, number of flowers required = 1256

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The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that

Vlad [161]

Answer:

The probability is 32/81

Step-by-step explanation:

We know that:

The probability that the team wins is p = 2/3

Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3

The team plays 4 matches.

We want to find the probability that the team wins 1 more than half of the number of matches played.

So if there are 4 matches, the half is 2 matches

one more than half is then 3 matches.

Let's assume that the team wins the first 3 matches, and does not win the last match.

match one, the team wins with prob: P₁ = 2/3

match two, the team wins with prob: P₂ = 2/3

match three, the team wins with prob: P₃ = 2/3

match four, the team wins with prob: P₄ = 1/3

The joint probability is the product of all the individual probabilities:

P = (2/3)*(2/3)*(2/3)*(1/3)

Now we must also considerate the permutations, we have the cases:

the team does not win the fourth match

the team does not win the third match

the team does not win the second match

the team does not win the first match

So we have just four permutations, then the total probability is:

probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)

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2 years ago

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3 years ago

Score: 0 of 1 pt

cupoosta [38]

Answer:

Step-by-step explanation:

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3 years ago

22.11 divided by 11?

Dimas [21]

Answer: 2.01

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3 years ago

Find the percent of the area under the density curve where x is more than 3. <br>

Gekata [30.6K]

Answer:

The percent of the area under the density curve where $x$ is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

$A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot (y_{f}-y_{o})$ (1)

Where:

$A$ - Area, in square units.

$x_{f} - x_{o}$ - Base of the triangle, in units.

$y_{f} - y_{o}$ - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

$x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%$

$x = 25\,\%$

The percent of the area under the density curve where $x$ is more that 3 is 25 %.

7 0

3 years ago

How many​ flowers, spaced every 6 ​in., are needed to surround a circular garden with a ​100-ft ​radius?

How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100-ft radius?