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rodikova [14]
3 years ago
12

On the first day of training, Aretha holds a plank position for 30 seconds. She increases her time by 20% each day. What is the

first day on which Aretha holds a plank for over a minute? Show your work
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

5 th day

Step-by-step explanation:

Given :

1st day :

Time = 30 seconds

Time increases by 20% each day :

2nd day = 20% * 30 = (1.20 * 30) = 36 seconds

3rd day = 1.20 * 36 = 43.2 seconds

4th day = 1.20 * 43.2 = 51.84 seconds

5th day = 1.20 * 51.84 = 62.208

First day Aretha hold a plank for over 1 minute is the 5th day

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never [62]

Answer:

3 pieces

I hope this helps

Step-by-step explanation:

X(1/3) = 1

x/3 = 1

X= 1×3 = 3

8 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
2 years ago
Given the diameter of a circle is 17 1/2cm, find its area (use π = 22/7)​
vladimir2022 [97]

Answer:

240.625 is full value. you can use sigfigs if you need.

Area is (pi)(r)^2 so (22/7)(8.75)^2

half diameter is radius

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