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3 years ago

Which equation represents a circle with a center at (-3,-5) and a radius of 6 units

Mathematics

1 answer:

TEA [102]3 years ago

7 0

Answer:

-3x^2 - 5y^2 = 36

Step-by-step explanation:

x^2+y^2=r^2

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Tic-tac-toe: In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is

Natasha2012 [34]

Answer:

$P(X \geq 1) = 1-P(X$

And if we find the individual probability we got:

$P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865$

And replacing we got:

$P(X \geq 1) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.127)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1) = 1-P(X$

And if we find the individual probability we got:

$P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865$

And replacing we got:

$P(X \geq 1) = 1-P(X$

6 0

2 years ago

Read 2 more answers

The equations of three lines are given below.

Anton [14]

Answer:

Step-by-step explanation:

7 0

2 years ago

Lisa purchased a hat for $10, a purse for $20, and a book for $23. The sales tax rate was 7.2 percent. What was the total amount

barxatty [35]

D is your answer because you add all the prices and multiply them by .072 then add that number to all the amounts added together

5 0

3 years ago

Write the prime factorization of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2²

Gala2k [10]

Answer:

prime factorization of 6: 2x3

Step-by-step explanation:

to find the prime factorization of any number Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

6 0

2 years ago

A gas company’s delivery truck has a cylindrical tank that is 16 feet in diameter and 48 feet long. How much gas can fit in the

Nady [450]

Answer: V=9651 ft^3

Explanation: This is a volume question and the formula for volume of a cylinder is πr^2h.

The radius is the diameter divided by 2, which is 8.

We can put the equation in terms of π by doing π*(8^2*48)=3072π.

Solving this gives us about 9650.972632, which you can round to get 9651.

6 0

2 years ago