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2 years ago

If 3 + √5/ 2√5 + 3 = a + b√5, find the values of rational numbers a and b.

Mathematics

1 answer:

Feliz [49]2 years ago

6 0

Answer: The given question is solved :

Step-by-step explanation:

correct solution in imaje

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3.- In a certain desert region the average number of persons who become seriously ill each year from eating a certain poisonous

Naily [24]

Answer:

$P(X\geq 5)=1-P(X$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-6.4} 6.4^0}{0!}=0.001662$

$P(X=1)=\frac{e^{-6.4} 6.4^1}{1!}=0.010634$

$P(X=2)=\frac{e^{-6.4} 6.4^2}{2!}=0.034029$

$P(X=3)=\frac{e^{-6.4} 6.4^3}{3!}=0.072595$

$P(X=4)=\frac{e^{-6.4} 6.4^4}{4!}=0.116151$

And replacing we got:

$P(X \geq 5) =0.76493$

Step-by-step explanation:

Previous concepts

Let X the random variable that represent the number of people that will become sereiosly ill in two years. We know that $X \sim Poisson(\lambda)$

The probability mass function for the random variable is given by:

$f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...$

And f(x)=0 for other case.

For this case the value for $\lambda$ would be:

$\lambda = 3.2 \frac{ills}{year} *2 years = 6.4$

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda$

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

$P(X\geq 5)=1-P(X$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-6.4} 6.4^0}{0!}=0.001662$

$P(X=1)=\frac{e^{-6.4} 6.4^1}{1!}=0.010634$

$P(X=2)=\frac{e^{-6.4} 6.4^2}{2!}=0.034029$

$P(X=3)=\frac{e^{-6.4} 6.4^3}{3!}=0.072595$

$P(X=4)=\frac{e^{-6.4} 6.4^4}{4!}=0.116151$

And replacing we got:

$P(X \geq 5) =0.76493$

7 0

2 years ago

Read 2 more answers

Find the mean absolute deviation of the following numbers. 10, 8, 5, 12, 20

kicyunya [14]

The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is:
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:

Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8

So, the mean absolute deviation of the following set of data is 4.5

4 0

2 years ago

A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pol

Flauer [41]

Answer:

Step-by-step explanation:

Isn't it 6 because that the distance between 30 and 24

4 0

2 years ago

Please help with one and two i have no clue and i’m really stressed, i’ll mark highest :(

Black_prince [1.1K]

Answer:

Should be 5 miles, if not I'm sorry

5 0

3 years ago

What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

Sedaia [141]

Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

37/8=-17/2x

37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

4 0

2 years ago