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2 years ago

Write the equivalent fractions for 4/9 and 10/11 using the least common denominator

Mathematics

2 answers:

Tcecarenko [31]2 years ago

6 0

Answer:

4/9 = 44/99

10/11 = 90/99

Step-by-step explanation:

44/99=90/99

34kurt2 years ago

6 0

Answer:

Step-by-step explanation:

4/9 = 8/18 or 36/81

10/11= 20/22 or 30/33

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For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

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:

$X \sim Binom(n=5, p=0.4)$

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:

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

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

3 years ago

Hymie Caddiddle is a truck driver who earns $56,000 a year driving cross-country. He is single with no dependents. He pays $2,43

BARSIC [14]

In order to solve this problem, we need to figure out what percent 2,430 is of 56,000. We do this by dividing 2,430 by 56,000. This is equal to 0.04339. We multiply this by 100 to get a percent. This is equal to 4.339%, so the tax rate is 4.339%.

4 0

3 years ago

Read 2 more answers

QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.

8_murik_8 [283]

Answer:

The solution is x=4.75 and y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)