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3 years ago

Please find the area of D, E, and F. This would be appreciated :)

Mathematics

2 answers:

Dmitry [639]3 years ago

5 0

Answer:

Using graph for units

D=1/2(6)(9)=27 sq units

E=1/2(7)(6)=21 sq units

F=1/2(6)(8)=24 sq units

Step-by-step explanation:

kicyunya [14]3 years ago

4 0

Answer:

D=27 units, E=21 units, F=24 units

Step-by-step explanation:

The formula for area of a triangle is (BASE * HEIGHT)/2

For triangle D, the base is 9 units and the height is 6 units. Then you can apply the formula and do 9*6 which is 54 and then do 54/2 which is 27 units.

Similarly, the base for E is 6 units, and the height is 7 units. So you do 6*7 which is 42 and then do 42/2 which is 21 units.

Again, the base for F is 6 units, and the height is 8 units. Then again, using the formula, we can do 6*8 which is 48 and then do 48/2, which is 24 units.

Hopefully this helped!

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The measure of the supplement of an angle is 46 more than 3 times the complement of the angle. Find the angle.

Marta_Voda [28]

Answer:

45 degrees

Step-by-step explanation:

Let the angle to be solved be

Let the supplement/compliment by

y=90

Complimentary angles add up to 90 degrees.

x+3

y=180

Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees

7 0

3 years ago

In the transmission of digital information, the probability that a bit has high, moderate, and low distortion is 0.02, 0.07, and

Leviafan [203]

Answer:

A. (Table Attached)

B. (See Step 3)

C. 0.06 (See Step 4)

D. NOT independent (See Step 5)

Step-by-step explanation:

Name the probabilities:

p₁ = 0.02, p₂ = 0.07, p₃ = 0.91

q₁ = 1-p₁ = 0.98 , q₂ = 1-p₂ = 0.93 , q₃ = 0.09

Let X and Y be the number of bits with high and moderate distortion out of three.

The function will follow multinomial distribution:

$f_{XY}(x,y) = P(X=x, Y=y) = \frac{3!}{x!y!(3-x-y)!} (p_1^x)(p_2^y)(p_3^{3-x-y})$

Substitute the values and make a table.

TABLE IN ATTACHMENT

We calculate marginal distribution by:

$P (X=x)=$ <em>∑</em> $P(X=x,Y=y)$

$fx(x)$ can be found by adding all the probabilities in each row for different value of X

For X=0 , ∑P = 0.94157441

For X=1 , ∑P = 0.057624

For X=2 , ∑P = 0.001176

For X=3 , ∑P =0.000008

The mathematic expectation E is the sum of product of each possibility with its probabiity.

$E(X)=$ <em>∑ </em> $xP(X=x)$

Find E(X):

$E(X)= (0*0.9415744)+(1*0.057624)+(2*0.001176)+(3*0.000008)$

$E(X)=0.06$

Condition probability states:

$P(A|B)=\frac{P(A,B)}{P(B)}$

It can also be written as:

$f_{Y|X=1}(y)=\frac{f_{XY}(1,y)}{f_x(1)}$

Where $f_x(1)\\$ = 0.057624

Calculate the quotient:

$Y|_{x=1}$ = 0 , $f_{Y|_X=1$ = 0.862245

$Y|_{x=1}$ = 1 , $f_{Y|_X=1$ = 0.132653

$Y|_{x=1}$ = 2 , $f_{Y|_X=1$ = 0.000510

$Y|_{x=1}$ = 3 , $f_{Y|_X=1$ = 0

Find the dependency:

$f_{XY}(y)=f_X(x)f_Y(y)$

We found that

$f_{Y|_X=1$ = 0.862245

Calculate $f_Y(1)$ from summing the column from the table

$f_Y(1)=0.17428341+0.007644+0.000084\\f_Y(1)=0.18201141$

Which are not equal.

Conclusion:

X and Y are NOT Independent

7 0

3 years ago

The solution of 4(x + 1) = 4(2 – x)

Galina-37 [17]

4x+4=8-4x

4x+4x=8-4

8x=4

x=4/8

x=1/2

5 0

3 years ago

Read 2 more answers

Evaluate x+y when x=−45 and y=13. Write your answer as a fraction or mixed number in simplest form.

cricket20 [7]

the answer is -32

you add -45 and 13

6 0

2 years ago

Use the number 8,6, and 2 and one operation to write an expression that includes an exponent and has a value of 8. Use each numb

podryga [215]

$6 + 2^1 = 8$ is the expression that includes an exponent and has a value of 8

<em><u>Solution:</u></em>

Given that, Use the number 8, 6, and 2 and one operation to write an expression that includes an exponent and has a value of 8

We have to use each number only once

Given numbers are 8, 6, 2

Our expression should include exponent and the result should be 8

Among 6 and 2 we can use 2 for exponent

Raise 2 to power of 1

<em><u>The expression becomes:</u></em>

$6 + 2^1 = 8$

Here we have used one operation, that is addition

Verifying the expression

$6 + 2^1 = 6 + 2 = 8$

Thus the required expression is found

8 0

3 years ago