Please help. COS (C)=

Can someone please answer these questions?

Arisa [49]

Keep in mind that you can gather only like terms. Two terms can be summed/subtracted if they involve the same powers of the same variables.

So, going point by point:

We can subtract the terms, because they both involve the variable $b$ , and we have $3b-7b = (3-7)b = -4b$
We can sum the terms, because they all involve the variable $a$ , and we have $a+a-5a = (1+1-5)a = -3a$
We can't sum this terms: 3 is a pure number, while 3r involves the variable r.
We can only sum the two terms: we have $7t-8t-8 = (7-8)t-8 = -t-8$
We can't sum this terms: -20 is a pure number, while -15p involves the variable p.
We can sum the terms, because they all involve the variable $g$ , and we have $-g-g-g = (-1-1-1)g = -3g$

7 0

3 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

4 years ago

Anna is covering the circular pool with a heavy-duty coer for the winter. The pool has a diameter of 24 feet. The cover extends

MrRa [10]

12 multiplied by 24.

7 0

3 years ago

Read 2 more answers

Allen and Stephan went shopping for Mother's day. Stephan spent $30 for 4 roses and 2 CDs. Allen bought 2 roses and 3 CDs for $4

pochemuha

Answer:

work is shown and pictured

8 0

4 years ago

5. This number is three tenths less than twenty-four and<br> twenty hundredths.

swat32

Answer:

0.3 =Three tenths

24.20 = Twenty four and twenty hundredths

24.20 - 0.3 = 23.9

23.9 is the answer..

HOPE THIS HELPS..

3 0

4 years ago