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Ierofanga [76]
3 years ago
8

Find the length of arc JK. Leave your answer in terms of pi.

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0
What does JK stand for?
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Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8 in. Assuming that the water level decreased a
jeka94

Answer:

the water level drop per hour is \frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}

Step-by-step explanation:

Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.

If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:

\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}

4 0
3 years ago
Phone calls arrive at the rate of 48 per hour at the reservation desk for regional airways.
rosijanka [135]

The different probabilities and number of callers expected to be waiting are;

A) P(x = 3) = 0.0286

B) P(x = 13) = 0.1056

C) 8 will be waiting

D) P(x = 0) = 0.0003

E) P(x = 0) = 0.0067

<h3>How to find probability using Poisson distribution?</h3>

We are given the rate of 48 phone calls per hour.

Thus, we will use poisson's distribution formula;

P(x) = (λˣ × e^(-λ))/x!

A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;

λ = 48 * (10/60)

λ = 8

P(x = 3) = (8³ × e⁻⁸)/3!

P(x = 3) = 0.0286

B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;

λ = 48 * (15/60)

λ = 12

P(x = 13) = (12¹³ × e⁻¹²)/13!

P(x = 13) = 0.1056

C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;

λ = 48 * (10/60)

λ = 8

Thus, 8 will be waiting after 10 minutes.

D) Probability that no one will be waiting is;

P(x = 0) = (8⁰ × e⁻⁸)/0!

P(x = 0) = 0.0003

E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;

λ = 48 * (5/60)

λ = 4

P(x = 0) = (4⁰ × e⁻⁵)/0!

P(x = 0) = 0.0067

Read more about probability with poisson's distribution at; brainly.com/question/7879375

4 0
3 years ago
3 people win the lottery win £120 pounds. They split it into the ratio of 1:3:8 how much does each person get
miss Akunina [59]
You will take the ratio divide it by the total and then multiply into 120
The First Person
1/12 × 120 = £10
The Second Person
3/12×120 = £30
The Third Person
8/12×120 = £ 80
6 0
4 years ago
Read 2 more answers
40$ to the markup rate of 65% what is the final price?
djyliett [7]

Answer:

$66

Step-by-step explanation:

that's the answer I thinkkkk

4 0
3 years ago
What is the answer to 5 1/2×7/8
Xelga [282]
First convert the mixed number to an improper fraction.

5 1/2 as an improper fraction would equal 11/2.

Now take 11/2 and multiply it by 7/8

11/2*7/8= 77
16
77/16 is your final answer.
OR
In decimals, it would be..4.8125
5 0
3 years ago
Read 2 more answers
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