In a class of 80 students in Debre Berhan University, 45 are good in mathematics, 15 are good in both mathematics and English, 13 are good in both Mathematics and Psychology, 16 are good in both English and Psychology only,20 are good in Psychology and 9 are good in both of the three course,then how many students are good in mathematics?

We have that these are the key points given below

The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event.

Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.

Bayesian Theorem

The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event

i'll explain further with an example

Given that when two unfair dice are thrown a 100 times the probability of getting the higher figure in the range of 6-8 , Therefore the Bayesian Theorem simply assumes that this range of 6-8 to be the highest for all 100 throws of two dice.

The Bayesian model is given  as

[tex]B=Prior * Likelihood=Posterior * Marginal[/tex]

Bayesian model is a statistical model.

This leads us to the definition of the Likelihood function

Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.

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Answer:

0.35355339059

Step-by-step explanation:

Answer:

na na na na na I don't know

Answer:

19 units²

Step-by-step explanation:

First, divide the shape into two triangles, find the area of those triangles, and then add the areas together.

Big Triangle:

1/2bh

1/2 6(5)

1/2 30

15

Little Triangle

1/2bh

1/2 2(4)

1/2 8

4

Total Area:

15 + 4 = 19 units squared

Answer:

56-x=728+2x

1.) rearrange

[tex]56x = 728 + 2x \\ \ - x + 56 = 728 + 2x[/tex]

[tex] - x + 56 = 728 + 2 x \\ \\ - x + 56 = 2x + 728[/tex]

2.)subtract 56 on both side

[tex] - x + 56 = 2x + 728 \\ \ - x + 56 - 56 = 2x + 728 - 56[/tex]

3.) simplify

[tex] - x = 2x + 672[/tex]

4.)Subtract 2 on both sides

[tex] - x = 2x + 672 \\ \\ - x - 2x = 2x + 672 - 2x[/tex]

5.) simplify

[tex] - x - 2x = 2x + 672 - 2x \\ \\ - 3x = 2x + 672 - 2x \\ \\ - 3x = 672[/tex]

6.)divide both sides on the same equation

[tex] - 3x = 672 \\ \\ \frac{ - 3x}{ - 3} = \frac{672}{ - 3} [/tex]

7.) simplify

[tex]x = - 224[/tex]

8.) answer

[tex]x = - 224[/tex]

if u need any help, just let me know

Answer:

see below

Step-by-step explanation:

Take the amount of lasagna and divide by the number of people

3/4 ÷ 5=x

Copy dot flip

3/4*  1/5=x

3/20 each

Answer:

x1=-4,y1=-1,x2=2,y2=3

Now,

slope (m)=3/2

By formula,

(y-y1)=m (X-x1)

y-(-1)=3/2(x+4)

y+1=3/2(x+4)

2y+2=3x+12

3x-2y+10=0,which is required equation.

Answer:

first you use distance formula then urr answer will come out....first u try ok.......

Answer:

yesdbdjxjsjdxjskskamd

Answer:

options B is the check answer

Hey there! I'm happy to help!

We see that the number of seashells is divisible by 5, 3, and 2, but not 4. One thing I like to do to find this number is to multiply together all of the numbers it is divisible by. This product will be divisible by all of the numbers because you multiplied them all together! Let's do this below.

2×3×5=30

We see that our answer is 30, and it is divisible by 2, 3, and 5. 30 also isn't divisible by four. If you tried to do so, you would get 28 (4×7) with a remainder of two.

Therefore, Cam could have collected 30 shells.

Have a wonderful day! :D

Answer:

Greatest digit: 8872.

Smallest digit:2278.

9514 1404 393

Answer:

Step-by-step explanation:

Greatest

The greatest possible number is created by putting the greatest allowable digit in the space available that has the highest possible place value. Here, the greatest digit is 8, and the highest place value of a 4-digit number is the thousands place: 8000. Once you have filled that place, you can use the digit 8 one more time in the hundreds place: 8800.

Now, the greatest digit available is the digit 7, and the left-most place you can put it is the tens place: 8870. Finally, the only digit and place available are the digit 2 and the ones place.

Your greatest 4-digit number is 8872.

Smallest

To form the smallest number, you use a similar process, filling places in the number from left to right with the smallest allowable digit. The smallest digit, 2, is allowed twice, so the smallest number that can be formed is 2278.

Answer:

84dgree÷3hours=26 degrees/ hour

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A table and graph are attached.

__

b) The relationship is NOT PROPORTIONAL. The line does not go through the origin (0, 0).

Answer:

The answer is between 2 and 4. 2 and 4 can be included if you are including the twice or three times. If it doesn't include those then it would only be anything inbetween.

Step-by-step explanation:

So to start off I would always give placeholder for all the sides. Lets label it x.

2(x+5) + 2(x+3) < 3(4x)

In the equation above, we created a simple equation with 2 representing 2 sides each and the 3 and 5 plugged in. That all is going to be less than 3 times the original perimeter which is 4x for the 4 sides.

2x + 10 + 2x + 6 < 12x

4x + 16 < 12x

16 < 8x

2 < x

We learn that the original x is greater than 2. We don't say it is equal to since it says between. Which doesn't usually include the number stated.

Now we repeat, just instead of 3 its 2 and instead of less than its greater than.

2x + 10 + 2x + 6 > 8x

4x + 16 > 8x

16 > 4x

4 > x

So your answer is between 2 and 4.

The possible lengths of the sides of the original square (x) any value between 4 cm and 8 cm, inclusive.

Let's denote the side length of the original square as "x" centimeters. The perimeter of the square is 4x.

When 5 cm and 3 cm are added to the length and width of the square,  a rectangle with dimensions (x + 5) cm and (x + 3) cm. The perimeter of the rectangle is 2 × (x + 5) + 2 × (x + 3) = 2x + 10 + 2x + 6 = 4x + 16.

According to the given information, the perimeter of the rectangle is between twice and three times the perimeter of the original square:

2 × perimeter of square ≤ perimeter of rectangle ≤ 3 × perimeter of square

Substitute the values:

2 × 4x ≤ 4x + 16 ≤ 3 × 4x

Simplify:

8x ≤ 4x + 16 ≤ 12x

Subtract 4x from all parts:

4x ≤ 16 ≤ 8x

Now, divide all parts by 4:

x ≤ 4 ≤ 2x

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Answer:

0

Step-by-step explanation:

since the "b" in y=mx+b ends up being 0, that means that the y intercept is 0, which also means that the x intercept is 0.

Answer:

y=-3/11x+67/11

Step-by-step explanation:

y-8=-5-8/4--7(x--7)

y-8=-3/11(x+7)

11y-88=-3x-21

11y=-3x-21+88

11y=-3x+67

y=-3/11x+67/11

Answer:

y = -13/11x - 3/11

Step-by-step explanation:

First, find the slope of the line using the slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-5-8}{4-(-7)}\\m=-\frac{13}{11}[/tex]

Then, use the point-slope formula and substitute the values for the variables.

[tex]y-y_1=m(x-x_1)\\y-8=-\frac{13}{11}(x-(-7))\\y-8=-\frac{13}{11}x-\frac{91}{11}\\y=-\frac{13}{11}x-\frac{3}{11}[/tex]

Answer:

The answer is A. 88.

Step-by-step explanation:

To solve for the measure of angle ( [tex]e[/tex] ), start by noticing that 92 degrees and   ( [tex]e[/tex] ) sum up to 180 degrees, which makes them supplementary angles.

Two angles are said to be supplementary angles if they add up to 180 degrees. Supplementary angles form a straight angle (180 degrees) when they are put together. In other words, angle 1 and angle 2 are supplementary, if Angle 1 + Angle 2 = 180 degrees.

Since angle 92 degrees and angle ( [tex]e[/tex] ) sum up to 180 degrees, the equation will look like [tex]92[/tex]°[tex]+e=180[/tex]°. To solve the equation, start by subtracting 92 degrees from both sides, and the equation will look like [tex]e=88[/tex]°. The final answer will be that the measure of angle ( [tex]e[/tex] ) is 88 degrees.

Answer:

88

Step-by-step explanation:

Answer:

1. B

2. A

Step-by-step explanation:

Those are the correct answers

Answer:

44m²

Step-by-step explanation:

Area of larger rectangle

= length × breadth

= 8m × 4m

= 32m²

Area of smaller rectangle

= length × breadth

= 4m × 3m

= 12m²

Total area of the figure

= Area of larger rectangle + Area of smaller rectangle

= 32m² + 12m²

= 44m²

Answer:

the length=8

the rectangle=5.5

Step-by-step explanation:

+)convention:

the lengt=a

the width = b => the area of the rectangle = a.b=44m^2 (1)

+) "the length of the rectangle is 3m less than twice the width"

=> 2b-a = 3 (m)

=> a=2b-3

substitute a for (1), we get

the area of the rectangle = a.b = (2b-3).b=44 m^2

=> 2b^2-3b-44=0

=> b=-4 (wrong)

=> b= 5.5 =the width

the lengt = the area of the rectangle/the width=44/5.5=8 m

Answer:

$15.7 for each

Step-by-step explanation:

here, peice of 6 gifts= $94.20

now price of each gift= $94.20/6

answer is 15.7 dollars

Answer:

D 1/5•5•5•5•5•5

Step-by-step explanation:

(5^3)^−2

We know a^b^c = a^(b*c)

5^(3*-2)

5^(-6)

We know a^-b = 1/a^b

1/5^6

1/(5*5*5*5*5*5)

Answer: The picture that shows 0,3 and 0,3.

They are points on the graph that show the function

Step-by-step explanation: I know because I just did this. I passed!!!

Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:

D. (48.9%, 55.1%)

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\pi = 0.52, n = 1000[/tex]

Hence the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]

As a percentage, option D is correct.

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Answer:

Given:

Find the following

g(2)

g(t - 2)

g(t) - g(2)

g(t)=5t^2-8t+3

[tex]\\ \sf\longmapsto g(2)=5(2)^2-8(2)+3[/tex]

[tex]\\ \sf\longmapsto g(2)=5(4)-16+3[/tex]

[tex]\\ \sf\longmapsto g(2)=20-13[/tex]

[tex]\\ \sf\longmapsto g(2)=7\checkmark[/tex]

And

[tex]\\ \sf\longmapsto g(t-2)=5(t-2)^2-8(t-2)+3[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5(t^2-4t+4)-8t+16+3[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5t^2-20t+20-8t+19[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5t^2-28t+39\checkmark[/tex]

And

[tex]\\ \sf\longmapsto g(t)-g(2)[/tex]

[tex]\\ \sf\longmapsto 5t^2-8t+3-7[/tex]

[tex]\\ \sf\longmapsto 5t^2-8t-4[/tex]

Answer:

Step-by-step explanation:

60 kg × 0.5⁴ = 3.75 kg

It doesn’t match any of the answers

Answer:

On the blue print, the room will measure 20 by 8 feet

Step-by-step explanation:

The population expected to be 10 years from now is 12,138.

Given that,

Based on the above information,

The  population expected to be 10 years from now is

[tex]= Number\ of\ people \times (1+ growth\ rate)^{number\ of\ years}\\\\= 8,200 \times (1 + 0.04)^{10}\\\\[/tex]

= 12,138

Therefore we can conclude that The population expected to be 10 years from now is 12,138.

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Answer:

The answer is A. 34556

Step-by-step explanation:

The 5th term of the sequence would be a{5} = 10334.

Sequence : A sequence is defined as an arrangement of numbers in a particular order.        

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the sequence -

1, 45, 104, 1034

We can write the next term as -

a{n} = 10a{n - 1} - 6

So, we can write -

a{5} = 10 x 1034 - 6

a{5} = 10340 - 6

a{5} = 10334

Therefore, the 5th term of the sequence would be a{5} = 10334.

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