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3 years ago

Please help i will mark brainly ! Need done

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

6 0

A diameter is a straight line passing through a circle from side to side.

Based on your question, a diameter would be E and J. As you can see, E is on one side, and J is on the other, and they make a straight line through the center of the circle.

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Write two different two step equations whose Solutions are x equals 8

Furkat [3]

X- 10=-2
X-4=4
Hop that helps

6 0

4 years ago

You have a coin that is not weighted evenly and therefore is not a fair coin. Assume the true probability of getting heads when

Alexandra [31]

Answer:

$X \sim Binom(n=157, p=0.52)$

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 this probability:

$P(X$

And we can use the following Excel code to find the exact answer:

"=BINOM.DIST(75,157,0.52,TRUE)"

And we got 0.1633

The other way to solve the problem is using the normal approximation

We need to check the conditions in order to use the normal approximation.

$np=157*0.52=81.64 \geq 10$

$n(1-p)=157*(1-0.52)=75.36 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=157*0.52=81.64$

$\sigma=\sqrt{np(1-p)}=\sqrt{157*0.52(1-0.52)}=6.26$

We want this probability:

$P(X$

And using the continuity correction we have this:

$P(X$

We can use the z score given by this formula $Z=\frac{x-\mu}{\sigma}$ .

$P(X< 76.5)=P(\frac{X-\mu}{\sigma}< \frac{76.5-81.64}{6.26})=P(Z < -0.821)=0.206$

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:

$X \sim Binom(n=157, p=0.52)$

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 this probability:

$P(X$

And we can use the following Excel code to find the exact answer:

"=BINOM.DIST(75,157,0.52,TRUE)"

And we got 0.1633

The other way to solve the problem is using the normal approximation

We need to check the conditions in order to use the normal approximation.

$np=157*0.52=81.64 \geq 10$

$n(1-p)=157*(1-0.52)=75.36 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=157*0.52=81.64$

$\sigma=\sqrt{np(1-p)}=\sqrt{157*0.52(1-0.52)}=6.26$

We want this probability:

$P(X$

And using the continuity correction we have this:

$P(X$

We can use the z score given by this formula $Z=\frac{x-\mu}{\sigma}$ .

$P(X< 76.5)=P(\frac{X-\mu}{\sigma}< \frac{76.5-81.64}{6.26})=P(Z < -0.821)=0.206$

4 0

3 years ago

A blank is a unit rate with a denominator of one unit

Dovator [93]

Yes and it is all basically multiplying by one and anything multiplied by one is

6 0

3 years ago

The transitive property holds for similar figures.

aleksklad [387]

<em>The answer is TRUE. </em>

6 0

3 years ago

picture included , please help, which of the following equations describe the line shown below (1,10) and (-3,2) *check all that

rosijanka [135]

Slope is $\text{m}=\frac{y_1-y_2}{x_1-x_2}=\cfrac{10-2}{1-(-3)}$
Then you use the equation
$\text{y=mx+b}$
Where b is the y-intercept. To find it, plug in x and y from one of the points. Say, point 1 (1,10):
$10=m(1)+b$
You know m (from above) and now you can solve for b.

Rearrange terms:
$y-b=mx$

And that will be the answer.

Make sense?

4 0

4 years ago

Read 2 more answers