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3 years ago

Write a common denominator for 1/4 and 5/6

2 answers:

7 0

The common denominator would be 12 .
You have to multiply 1/4 by 3/3 and 5/6 by 2/2 because if we want them to be out of 12 we have to multiply them by those numbers.

maxonik [38]3 years ago

3 0

A common denominator is 12

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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

3 years ago

A car travels at an average speed is 52 miles per hour. How many miles does it travel in 4 hours and 45 minutes?

tankabanditka [31]

The car would travel 247.95 miles in 4 hours and 45 minutes

4 0

3 years ago

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How man

Sonja [21]

You just multiply 450 by .18 and it'll give you the 18% you have to add to 450.
So the equation would look like:

450(.18)=81

Which you then add:

450+81= 531

So 531 is your total!

6 0

3 years ago

Read 2 more answers

What is the value of x to the nearest tenth? A 14. B 14.4. C 13.5. D 13.2

Ivan

Answer:

x=13.5

Step-by-step explanation:

sin 48 = opposite/ hypotenuse

sin 48 = 10/x

multiply by x on each side

x sin 48 =10

divide by sin 48

x = 10/sin 48

x = 13.456

round to the nearest tenth

13.5

3 0

3 years ago

Read 2 more answers

What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?

ludmilkaskok [199]

Y = -3x + b
Plug in points
4 = -3(-2) + b
4 = 6 + b, b = -2
Solution: y = -3x - 2

3 0

3 years ago