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3 years ago

Determine the period of this function a. 6p c. 1 b. 4p d. -1

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

Answer:

4pie

Step-by-step explanation:

period = time/number of oscillation

time=4pie

number of oscillation = 1

then

period = 4p/1= 4p

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What is the best estimate for the length of a bike

castortr0y [4]

<span>The average length of a bike (including the length of both wheels) is about 68 inches.For finding the true answer we must follow the following convertion rule: 1 inch is equivalent to 0.02 yard, so 68 inches equal to 1.88 yards. Consequently, the value nearest 1.88 yards is 1.5 yards, so the answer is the choice A: 1.5 yards. </span>

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3 years ago

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

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.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is $P(X = 2)$ . So:

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

$P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073$

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0

3 years ago

I need help on how to do this as soon as possible please

AfilCa [17]

Answer:

Step-by-step explanation:

m∠1 = m∠2 {Corresponding angles}

78 - 2x = 89 - 3x

Add 3x to both sides

78 - 2x + 3x = 89

78 + x = 89

Subtract 78 from both sides

x = 89 - 78

x = 11

6 0

3 years ago

Find the exact area of a circle with a dimeter of 5 yards. Use 3.14 for pi

kenny6666 [7]

Answer:

$A = 6.25(pi)$

$A$ ~ $19.63495$

Step-by-step explanation:

The formula for finding the area of a circle is;

$A = (pi)r^2$

Where ( $A$ ) represents the area of the circle, ( $pi$ ) represents the value ( $3.1415...$ ) and ( $r$ ) represents the radius of the circle. As per its definition, the diameter is the largest cord or line segment that can be drawn through a circle, the diameter always passes through the center of a circle. The radius ( a line segment that can be drawn from the center of the circle to any side of the circle) is always half of the diameter.