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3 years ago

9

Pls help!! will mark brainliest

1 answer:

Bezzdna [24]3 years ago

5 0

There are 245 coins in total because there are 70 nickels and 175 pennies and if you add those together you get 245 coins in total

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The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.

natima [27]

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) $P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} = 0.05$

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

$P_X(0) = e^{-6}$

$P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}$

Hence,

$P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826$

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

$P_X(0) = e^{-15}$

$P_X(1) = e^{15}*15$

$P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}$

As a result,

$P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308$

Practically 0

4 0

3 years ago

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If

luda_lava [24]

Answer: Diverging

Step-by-step explanation:

Find explanations in the attached file

5 0

3 years ago

What situation is graph A showing out of those 3 choices?

astra-53 [7]

Answer:

Angela starts off fast but then slows down

8 0

3 years ago

A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 in

lana [24]

Answer:

The area of the window is of 840 square inches.

Step-by-step explanation:

To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.

Matematically:

$A = \frac{(b_{1} + b_{2})*h}{2}$

In which $b_{1}$ and $b_{2}$ are the bases and h is the height.

In this question:

$b_{1} = 30, b_{2} = 40, h = 24$

All the measures in inches, so the area is in square inches.

$A = \frac{(30 + 40)*24}{2} = 840$

The area of the window is of 840 square inches.

3 0

3 years ago

The profits for a large international bank were $2 234 569 000. What is this number rounded to the nearest billion?

Alex777 [14]

$2 234 569 000. is about two million

5 0

3 years ago

Read 2 more answers