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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Mathematics

2 answers:

dmitriy555 [2]3 years ago

7 0

Answer: y = 3/2x - 6

jeyben [28]3 years ago

4 0

Answer:

x= -2/3 y +4

Step-by-step explanation:

$x = \frac{ - 2}{3} y + 4$

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g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose

Nuetrik [128]

Answer:

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

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:

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

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

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:

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

3 0

3 years ago

What is the area of the trapezoid?

Akimi4 [234]

Answer:

264 cm^2.

Step-by-step explanation:

The area = 1/2 * height * sum of the parallel sides

= 1/2 * 12 * (28 + 16)

= 6 * 44

= 264 cm^2.

4 0

3 years ago

three different accounts are described below. order the accounts to their values after 10 years, from greatest to least.

Sedbober [7]

Answer

You deposit $800 in an account that earns 7.5% annual interest compounded quarterly.

Step-by-step explanation:

From the close eye, this seems to me the best and most factual answer to be found!! Goodluck with your quiz!

6 0

3 years ago

Read 2 more answers

I need help with 27 and 28 show step and round to nearest tenth

Nikitich [7]

Answer:

#27: 56 ft squared #28: 32.85 ft squared

Step-by-step explanation:

Hope this helped! Please rate it if this helped!

5 0

3 years ago

Solve the equation<br> 1/4y+9=1/2

malfutka [58]

Answer:

y = -34

Step-by-step explanation:

Step 1

1/4 y + 9 = 1/2

1/4 + 9 - 9 = 1/2 - 9

1/4 y = -17/2

Step 2

4 * (1/4 y) = 4* (-17/2)

y = -34

Hope this helps!!

7 0

3 years ago