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3 years ago

Find the perimeter of the figure pictured below.

Mathematics

1 answer:

sasho [114]3 years ago

6 0

Answer:

Step-by-step explanation:

remove the figure get rectangle with ( 8,12) sides

perimeter is 8+12+8+12=40

or 2+8+12+3+10+5=40

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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

Find the interest due on $600 at 9.5% for 120 days.

KATRIN_1 [288]

Answer:

Interest= $ 18.73

Step-by-step explanation:

Given : $600 at 9.5% for 120 days

To find : Find the interest due

Solution :

Simple interest formula $I=P\times r\times t$

Principle(P)=$600 , rate(r)=9.5%=0.095 , time (t)= 120 days

In years, 1 year = 365 days

1 day = $\frac{1}{365}$ year

120 days = $\frac{120}{365}$ year

Put values in the formula

$I=P\times r\times t$

$I=600\times 0.095\times\frac{120}{365}$

$I=\frac{6840}{365}=18.73$

Therefore, Interest= $ 18.73

5 0

3 years ago

Read 2 more answers

What percent tip did the customer leave If he spent $24 on $12 meal?

kifflom [539]

Answer:

he gave them 12 extra

Step-by-step explanation:

12-24 is 12

3 0

3 years ago

X over 2 +2= 15 two step equations

Fed [463]

Answer:

$\boxed{\boxed{\sf x=84}}$

Step-by-step explanation:

$\sf \cfrac{x}{6} +2=16$

Multiply both sides of the equation by 6:

$\sf x+12=96$

Subtract 12 from both sides:

$\sf x=96-12$

Subtract 12 from 96:

$\sf x=84$

_________________________________

3 0

2 years ago

Read 2 more answers

A cube shaped terrarium has a volume of 27/64 cubic feet. What is the length of its sides?

Dafna1 [17]

A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to $s^3$ where s is the side length.

$s^3 = \frac{27}{64}$

To solve for s, take the cube root of both sides.

$\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }$

$s= \frac{3}{4}$ feet

8 0

3 years ago