Use the triangle below. Find the length of the missing side. If necessary, round to the nearest tenth. B = 12 and c = 13 A= ?

Answer:

No, P(A) ≠ P(A|B)

Step-by-step explanation:

Condition must be held in order to two events be independent of each other:

[tex]P(A B) = P(A)P(B) => P(A) = P(A|B)\\Or\\P(B) = P(B|A)[/tex]

[tex]P(A)=\frac{42}{81}\\P(B) =\frac{46}{81}\\P(A B) = \frac{20}{81}\\P(A|B) =\frac{P(A B)}{P(B)} = \frac{20}{46} \neq P(A) => P(AB) = \frac{20}{81} \neq P(A)P(B) = \frac{23}{81}\\\\P(B|A)=\frac{P(AB)}{P(A)}=\frac{20}{42} \neq P(B) => P(AB) = \frac{20}{81} \neq P(A)P(B)= \frac{23}{81}\\\\[/tex]

Note: (AB) means (A ∩ B)

The probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Two events must be independent of each other, condition must be maintained:

P(A and B) = P(A) × P(B)

The probability:

P(A) = 42/81

P(B) = 46/81

P(AB) = 20/81

P(A|B) = P(AB)/P(B) = 20/46 ≠ P(A) = 20/81 ≠ P(A)P(B) = 23/81

P(B|A) = P(AB)/P(A) = 20/42 ≠ P(B) = 20/81 ≠ P(A)P(B) = 23/81

Thus, the probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.

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Answer:

[tex]2 \sqrt{ - 2 } [/tex]

maybe?

Answer:

it is and y=4x

(i'm pretty tired so I can't include an explanation.)

Answer:

Yes it's a proportional relationship

Step-by-step explanation:

0x4=0

2x4=8

4x4=16

6x4=24

8x4=32

Answer:

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

Step-by-step explanation:

Noah had to rationalize the denominator of [tex]\frac{32}{5-\sqrt{7}}[/tex]

According to him,

[tex]\frac{32}{5-\sqrt{7} = \frac{32(5+\sqrt{7}{(5-\sqrt{7})(5+\sqrt{7}[/tex]

Solving the nominator and denominator

[tex]= \frac{160-32\sqrt{7}}{25+5\sqrt{7}-5\sqrt{7}-7}[/tex]

Noah did correctly till this point.

In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.

Hence,

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

Answer:

It is the last one

Step-by-step explanation:

To find the price for one you would divide 36.90 by 9 and to find the equation it is asking for you do the opposite which is 9p=36.90

Answer:

The answer is 9p=36.90

Step-by-step explanation:

Hope this helps!

Answer:

The slope is [tex] \frac{7}{10} [/tex]

Step-by-step explanation:

☆Remember:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆We just plug in now!

[tex]m = \frac{8 - 1}{4 - ( - 6)} = \frac{7}{10} [/tex]

Answer:

A

Step-by-step explanation:

Given :

2x + 4y = 14  ---------- eq 1

4x + y = 20 ---------- eq 2

if you multiply eq 2 by -4 on both sides, you get

-4 (4x + y = 20) = -4 (20)

-16x -4y = -80 --------- eq3

we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.

The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex]  is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

System of equations comprises of two or more equations and seeks common solutions to the equations.

We have,

[tex]2x + 4y = 14[/tex]   [tex]........(i)[/tex]

  [tex]4x + y = 20[/tex]    [tex]........(ii)[/tex]

Now,

To check that which option suits best for system of equation,

Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],

  [tex](-4) (4x + y) = (-4)*(20)[/tex]

[tex]-16x-4y=-80[/tex],

So, this above obtained equation is in option  [tex](A)[/tex].

Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

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Answer:

64.468

Step-by-step explanation:

Answer: 64.468 kilograms

Step-by-step explanation:

Answer:-9a^4+18a^2-5

(3a  

2

−1)(−3a  

2

+5)

=3a  

2

(−3a  

2

+5)−1(−3a  

2

+5)

​  

​  

=−9a  

4

+15a  

2

+3a  

2

−5

=−9a  

4

+18a  

2

−5

​  

Answer: A is the right angle

Step-by-step explanation:

a. 20^2 + 15^2 = 25^2

400 + 225 = 625

625 = 625

hope this helps :)

Answer:

YD=6.9

Step-by-step explanation:

In an isosceles trapezoid both diagonals have an equal length. Given this, since diagonal AC is equal to 17.2, diagonal BD must be equal to 17.2. Diagonal BD is made up of segments BY and YD, so the lengths of BY and YD must add to equal 17.2. Since BY is 10.3, the equation YD+10.3=17.2 can be used to find the value of YD. To solve this, subtract 10.3 from both sides of the equation to find that YD is equal to 6.9.

Answer:

x=2

Step-by-step explanation:

2x - 6= -2

   +6    +6

2x= 4

/2    /2

x=2

Answer:

ok 120

Step-by-step explanation:

Answer:

20,000

Decay

8%

Step-by-step explanation:

The inital value is the value at time = 0

The equation represents decay which is shown because as t approaches infinity the equation equals 0

It changes by 8 percent (1-.92)

If you have any questions please let me know.

Answer:

Initial value at t=0 is 20,000

Function represent decay with time

Changing 8%/year

Step-by-step explanation:

[tex]v(o)=20000(0.92)^{0}=20000[/tex]

Answer: x^15

Step-by-step explanation:

You multiply 5 times 3

Answer:

1.875

Step-by-step explanation:

Answer:

15/8 simplified = 1 7/8

Step-by-step explanation:

an easier way to divide fractions is to convert all into a improper fraction like this 1 1/4 > 1x4+1= 5/4 since 2/3 isnt mixed keep it ok so now you have 5/4 divided by 2/3 next you take the fraction on the right and flip then multiply it to get 5/4 x 3/2 then you multiply across to get 15/8 then change that to a mixed number by dividing 15 by 8 to get 1 with a remainder of 7 so 1 7/8 is your answer

hope this helps you in the future have a blessed day!

Answer:A

Step-by-step explanation:I took the test already trust me

Answer:

y= -4

Step-by-step explanation:

y=3x-1

y=3(-1)-1

y=-3-1

y= -4

Answer:

Answer: x^2 +14x+49

Step-by-step explanation:

Step-by-step explanation:

Amount borrowed=400

interest rate=4%

Amount of interest after x years =0.04XxX400=$16x

Total to be paid back=400+0.04XxX400=400+16(1)

1) the amount of interest.if Franco pays back the loan in x=1 years is

16x1=$16

2) the amount of interest,if Franco pay back the loan in x=2 years is,

16x2=$32

3) the amount of franco will pay the lender after 2 years will be

400+(16x2)=400+32=$432

Answer:

x = 13

Step-by-step explanation:

54 divided by (13 + 5) = 3

Answer:

x = 13

Step-by-step explanation:

Answer:

18. Its 2 meters.

19. Its 0.2 grams

20. Its 1,920

Step-by-step explanation:

When you convert 200 centimeters to meters its 2.

When you convert 2,000 milligrams in grams its 0.2

15% of 12, 800 is 1,920

Hope this helps:)

Answer:

x=80 and y=30

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!

I just checked with a calculator, and the mean stays the same.

So the answer is the first option! :D

Answer: 508.68 inches

Step-by-step explanation:

The volume of a cylinder is written as:

= πr²h

where,

π = 3.14

r = 9

h = 2

Volume = πr²h

= 3.14 × (9²) × 2

= 3.14 × 81 × 2

= 508.68

Answer:

The answer is B

Step-by-step explanation:

I've attached an image showing the data relationship.

Answer:

1) y does not change based on changes in x: no-correlation

2) y tends to increase as x increases: positive correlation

3) y tends to decrease as x increases: negative correlation

Step-by-step explanation:

1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.

2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.

3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.

Answer:

y tends to decrease as x increases: negative!

y tends to increase as x decreases: positive!

y does not change based on changes in x: no correlation!

Step-by-step explanation:

:))

Answer:

im pretty sure its c

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation: