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shutvik [7]
2 years ago
10

Find the center and radius of the circle with the given equation. Then graph

Mathematics
1 answer:
MissTica2 years ago
4 0

Answer:

Step-by-step explanation:

Center (0,0)

radius = √16 = 4

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A coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00am to 7:30am
adelina 88 [10]

The probability that more than 210 people will pass in front of his store is <u>0.2272</u>.

In the question, we are given that a coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00 A.M to 7:30 A.M.

We are asked to find the probability that more than 210 people will pass in front of his store if the mean number of customers during this time is 210.

This experiment follows a Poisson Distribution with a mean (λ) = 200, and the random variable X = 210.

To find the probability that more than 210 people will pass in front of his store, we will find P(X > 200).

P(X > 200) = 1 - P(X ≤ 210).

Now, P(X ≤ 210) can be calculated using the function poissoncdf(200,210) on the calculator.

As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).

The value of poissoncdf(200,210) = 0.77271.

Thus, the value of P(X > 210) = 1 - 0.77271 = 0.22729.

Thus, the probability that more than 210 people will pass in front of his store is <u>0.2272</u>.

Learn more about Poisson Distribution at

brainly.com/question/7879375

#SPJ4

7 0
1 year ago
To change the shape of a function, you need to __or compress it.
polet [3.4K]

Answer: stretch

Step-by-step explanation:

Stretch and compression are the two ways to change the shape of a function

3 0
3 years ago
11/6358 long agurithum
miss Akunina [59]

Answer:

Least common multiple:

lcm (578; 11) = 6,358 = 2 × 11 × 172;

Numbers have no common prime factors: 6,358 = 578 × 11.

Step-by-step explanation:

Approach 1. Integer numbers prime factorization:

578 = 2 × 172;

11 is a prime number, it cannot be broken down to other prime factors;

Multiply all the prime factors, by the largest exponents.

Least common multiple:

lcm (578; 11) = 2 × 11 × 172;

lcm (578; 11) = 2 × 11 × 172 = 6,358

Numbers have no common prime factors: 6,358 = 578 × 11.

Integer numbers prime factorization

Approach 2. Euclid's algorithm:

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Step 1. Divide the larger number by the smaller one:

578 ÷ 11 = 52 + 6; Step 2. Divide the smaller number by the above operation's remainder:

11 ÷ 6 = 1 + 5; Step 3. Divide the remainder from the step 1 by the remainder from the step 2:

6 ÷ 5 = 1 + 1; Step 4. Divide the remainder from the step 2 by the remainder from the step 3:

5 ÷ 1 = 5 + 0; At this step, the remainder is zero, so we stop:

1 is the number we were looking for, the last remainder that is not zero.

This is the greatest common factor (divisor).

Least common multiple, formula:

lcm (a; b) = (a × b) / gcf, hcf, gcd (a; b);

lcm (578; 11) =

(578 × 11) / gcf, hcf, gcd (578; 11) =

6,358 / 1 =

6,358;

lcm (578; 11) = 6,358 = 2 × 11 × 172;

8 0
2 years ago
PLSSSSSSSSS help just open it and help me PLSSSSSSSSS
Nastasia [14]
There is not question?
7 0
3 years ago
A cylinder has a diameter of 20cm.
Vladimir [108]

Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

  • V = πr²h

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

  • 20 * 3/5 = 60/5 = 12 cm

The radius is 1/2 of the diameter, so:

  • 20 * 1/2 = 20/2 = 10 cm

Substitute 12 for h and 10 for r into the volume formula.

  • V = π(10)²(12)

Simplify.

  • V = π * 100(12)  
  • V = π * 1200

The volume of a cylinder, in terms of π, is V = 1200π.

5 0
3 years ago
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