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2 years ago

Find the equation of the sphere for which the line segment pq connecting p(4,2,1) and q(5,-1,3) is the diameter

1 answer:

5 0

The middle of PQ is (9/2,1/2,2)
The sphere has for equation (x-9/2)²+(y-1/2)+(z-2)²=R²
and P is a point of the sphere so R=(-1/2)²+(3/2)²+(-1)²=R²=7/2

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Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each

arlik [135]

Answer:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

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".

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

$X \sim Binom(n=10, p=0.65)$

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:

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

Solution to the problem

For this case we want to find this probability:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

5 0

2 years ago

What is the missing number?*

lesya [120]

15 is the missing number

4 0

2 years ago

Sixth sevenths times seven tenths

Kamila [148]

Answer : 0.6

hope this helps !! ^-^

6 0

2 years ago

Read 2 more answers

If you just write whatever just for the points i will report you.

Hoochie [10]

<u>Answer:</u>

Below!

<u>Step-by-step explanation:</u>

<u>The best way to answer this question is to read the statement carefully.</u>

=> Five less than twice a number = 2x - 5
=> Five times the sum of two numbers = 5(x + y)
=> The difference of 5 and a number, squared = (5 - x)²

Hoped this helped.

$BrainiacUser1357$

5 0

1 year ago

Read 2 more answers

Find the distance between points O and V.-2 and 1/2

inn [45]

This problem is about the distance between points, in this case, we have to unidimensional coordinates, that is, point O is at -2, and Point V is at 1/2.

It's important to know that the proper way to find the distance here is by subtraction, we need to subtract the final points and the initial point. In math, such subtraction is called "differential" or "variation", just a fancy name.

$\Delta=\frac{1}{2}-(-2)=\frac{1}{2}+2=0.5+2=2.5$

<h2>Therefore, the distance from O to B is 2.5 units.</h2>

3 0

11 months ago