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3 years ago

What is 6 over 25 as a percentage

1 answer:

5 0

As a fraction, it is 6/25. As percentages are out of 100, you need to divide 100 by 25, and this will give you the answer as to what you need to multiply the fraction by. 100/25=4. Therefore, you need to multiply the fraction by 4 to get a percentage. 6x4= 24, 25x4=100. 24/100 is equal to 24%
Therefore, 6/25 as a percentage is 24%
Hope this helps :)

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Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assi

BartSMP [9]

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

$\mu = 6*0.6*3 + 6*0.4*1 = 13.2$

The standard deviation is:

$\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63$

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

$\mu = 6*0.6 = 3.6$

The probability of scoring four goals is:

$P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122$

Probability of two assists:

40% of 2 are assists, which means that:

$\mu = 6*0.4 = 2.4$

The probability of getting two assists is:

$P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127$

Probability of four goals and two assists:

$P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05$

0.05 = 5% probability that he has four goals and two assists in one game

5 0

2 years ago

Round your answer to the nearest hundredth

nalin [4]

Answer:

A = arctan(BC/CA) = arctan(8/2) = 75.96 deg

Hope this helps!

3 0

2 years ago

find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis

stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2. Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3. Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5. The y-intercept is (0, 5).

Next we find the x-intercept. We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0). This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5). Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."

3 0

3 years ago

A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 20 ft, approximate the volume of the t

otez555 [7]

Answer:

The approximate volume of the tank is $V=16,747\ ft^{3}$

Step-by-step explanation:

we know that

The volume of a hemisphere (water storage tank) is equal to

$V=\frac{4}{6}\pi r^{3}$

we have

$r=20\ ft$

assume

$\pi =3.14$

substitute

$V=\frac{4}{6}(3.14)(20)^{3}$

$V=16,747\ ft^{3}$

7 0

3 years ago

Yolanda is buying supplies for school.She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each.what d

oksian1 [2.3K]

1.4n + 1.2m

1.4n.....the n represents the number of packs of pencils bought.....and each pack of pencils cost 1.4 (which is the same as 1.40)

1.2m...the m represents the number of pads of paper bought...and each pad of paper cost 1.2 (which is the same as 1.20)

the entire expression represents the total cost spent on buying n packs of pencils and m pads of paper

5 0

3 years ago