The radius of a circle is 21 in. What is the precise distance around the circle?

A restaurant offers three types of meats: chicken, beef,

sp2606 [1]

Answer:

200

Step-by-step explanation:

If the waiters surveyed 50 customers and half of the customer's favorite meat was chicken, then if 400 pieces of meat were ordered 200 pieces should be chicken.

If $\frac{50}{chicken}$ = $\frac{50}{25}$ = $\frac{1}{2}$ , then $\frac{400}{chicken}$ = $\frac{400}{2}$ = $2$

I hope that makes sense :)

7 0

2 years ago

When studying radioactive material, a nuclear engineer found that over 365 days,

Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\lambda$ is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

$\lambda = \frac{29742}{365} = 81.485$

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

$P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0$

0% probability that on a given day, 50 radioactive atoms decayed.

5 0

2 years ago

Use the Exterior Angle Inequality Theorem to list all of the angles that measure less than the measure of Angle 1

kati45 [8]

Answer:

Angle 5

Angle 8

Step-by-step explanation:

$\angle 5 \:\&\: \angle 8$ measure less than the measure of Angle 1.

6 0

2 years ago

Solve for q. a=qb+r What is q equal to? q=a−r−b q=a−r/b q=a/b −r q=a/rb

Mademuasel [1]

The given equation is $a=qb+r$

We need to solve the equation for q.

Value of q:

The value of q can be determined by solving the equation $a=qb+r$ for q.

Thus, subtracting both sides of the equation by r, we get;

$a-r=qb$

Now, dividing both sides of the equation by b, we have;

$\frac{a-r}{b}=\frac{qb}{b}$

Simplifying the terms, we get;

$\frac{a-r}{b}=q$

Therefore, the value of q is $q=\frac{a-r}{b}$

Hence, Option B is the correct answer.

7 0

2 years ago

Solve for q. 3(q − 7) = 27 q =

Whitepunk [10]

Answer:

The answer is, q = 16.

Step-by-step explanation:

1) Divide both sides by 3.

$q - 7 = \frac{27}{3}$

2) Simplify 27/3 to 9.

$q - 7 = 9$

3) Add 7 to both sides.

$q = 9 + 7$

4) Simplify 9 + 7 to 16.

$q = 16$

Therefor, the answer is q = 16.

8 0

2 years ago

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