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3 years ago

15

Bob has to pack 192 boxes. This morning, he packed 84 boxes in 3.5 hours. If Bob continues at the same rate, how long will it ta

ke him to pack the remaining boxes?

1 answer:

Aleonysh [2.5K]3 years ago

5 0

1.365

Step-by-step explanation:

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Identify a1 r and n for the sum of the geometric sequence. 1/2 + 3/8 + 9/32 + 27/128 + 81/512

Bess [88]

Answer:

a1=1/2

r=3/4

n=5

Step-by-step explanation:

a1 is the first term in the geometric series

a1=1/2

r is the common ratio of the first and second term

r=(3/8)/(1/2)

r=3/4

where n is the no of the term in the geometric series

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It expresses that the rest of the division of a polynomial by a direct polynomial is equivalent to. Specifically, is a divisor of if and just if a property known as the factor hypothesis.

The number multiplied at each stage of a geometric sequence is called its common ratio.

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3 years ago

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How to solve 1/4 - -4/3 - -1 2/9

Ahat [919]

Answer:

2 29/36

Step-by-step explanation:

So circle the two signs., so the problem is now this:

1/4+4/3+1 2/9

Then you find the GCM, or Greatest Common Denominator.

It is 36. Then, you re-write the new answers

9/36+ 48/36+ 1 18/36

Now we have this:

1 65/36

The answer is 2 29/36

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3 years ago

5The measure of angle 1 is greater than 97° and at most 115°. Graph the possible values of x. (9x + 7)

hjlf

Answer: did anyone get the answer to this ?

Step-by-step explanation:

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2 years ago

The number of people arriving at a ballpark is random, with a Poisson distributed arrival. If the mean number of arrivals is 10,

Stella [2.4K]

Answer:

a) 3.47% probability that there will be exactly 15 arrivals.

b) 58.31% probability that there are no more than 10 arrivals.

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.

If the mean number of arrivals is 10

This means that $\mu = 10$

(a) that there will be exactly 15 arrivals?

This is P(X = 15). So

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

$P(X = 15) = \frac{e^{-10}*(10)^{15}}{(15)!} = 0.0347$

3.47% probability that there will be exactly 15 arrivals.

(b) no more than 10 arrivals?

This is $P(X \leq 10)$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 0) = \frac{e^{-10}*(10)^{0}}{(0)!} = 0.000045$

$P(X = 1) = \frac{e^{-10}*(10)^{1}}{(1)!} = 0.00045$

$P(X = 2) = \frac{e^{-10}*(10)^{2}}{(2)!} = 0.0023$

$P(X = 3) = \frac{e^{-10}*(10)^{3}}{(3)!} = 0.0076$

$P(X = 4) = \frac{e^{-10}*(10)^{4}}{(4)!} = 0.0189$

$P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378$

$P(X = 6) = \frac{e^{-10}*(10)^{6}}{(6)!} = 0.0631$

$P(X = 7) = \frac{e^{-10}*(10)^{7}}{(7)!} = 0.0901$

$P(X = 8) = \frac{e^{-10}*(10)^{8}}{(8)!} = 0.1126$

$P(X = 9) = \frac{e^{-10}*(10)^{9}}{(9)!} = 0.1251$

$P(X = 10) = \frac{e^{-10}*(10)^{10}}{(10)!} = 0.1251$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.000045 + 0.00045 + 0.0023 + 0.0076 + 0.0189 + 0.0378 + 0.0631 + 0.0901 + 0.1126 + 0.1251 + 0.1251 = 0.5831$

58.31% probability that there are no more than 10 arrivals.

8 0

3 years ago

How to find the arc length (geometry)

andrew11 [14]

Answer:

94.2

Step-by-step explanation:

Arc length is basically circumference.

Circumference formula: 2πr

All we need is the radius.

Radius = r

15 x 2 = 30 (diameter)

Then we are going to multiply by pi.

Arc length = 30π OR 94.2

5 0

2 years ago