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3 years ago

May I please receive help?

Mathematics

1 answer:

mestny [16]3 years ago

4 0

Answer:

Arc=4 $\pi$

Step-by-step explanation:

The formula to get the length of arc is

Arc= degree x $\pi$ /180 x radius

Going by this formula, we can plug in a few numbers:

Arc= 80 x $\pi$ /180 x 9

Since it says to go off of term pi, we can simplify the 80 and the fraction and simplify.

Arc=80 $\pi$ /180 x 9

Arc=4 $\pi$ /9 x 9

Simplify, the nine cancels out

Arc=4 $\pi$

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4 times itself and plus 1 equals this number. What is the number?

klemol [59]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let the number be x, now the above statement can be written as :

$4x + 1 = x$

$4x - x = - 1$

$3x = - 1$

$x = \dfrac{ - 1}{3}$

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3 years ago

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The model represents an equation.

madreJ [45]

Answer:

9/5

Step-by-step explanation:

solve the original equation for x

-4× + 3 = 1x +(-6)

-1x

-5x + 3 = -6

-3

-5x = -9

/-5

x = 9/5

CHECK

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3 years ago

What is 10 meters increased by 25%

inn [45]

I believe that it's 12.5

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4 years ago

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Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4

Nady [450]

Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

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 time interval.

Average rate of 6.4 per 30 minutes.

This means that $\mu = 6.4$

What is the probability that three or four customers will arrive during the next 30 minutes?

$P = P(X = 3) + P(X = 4)$

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

$P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726$

$P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162$

$P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888$

18.88% probability that three or four customers will arrive during the next 30 minutes

4 0

4 years ago

Solve by factoring and i need the steps too !!

IrinaVladis [17]

Answer:

$x_1 = -8\\\\x_2 = 8$

Step-by-step explanation:

To solve this problem use the formula "<u><em>Difference of squares</em></u>":

$(a + b) (a-b) = a ^2 -b ^ 2$

In this problem we have the following equation

$x ^ 2 -64 = 0$

This we can write it in the following way

$x ^ 2 - 8 ^ 2 = 0$

Then if a = x and b = 8 then:

$x ^ 2 - 8 ^ 2 = (x+8)(x-8) = 0$

Then the product of both factors is equal to zero when:

$x+8 = 0\\\\x =-8$

$x -8 = 0\\\\x =8$

8 0

3 years ago