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3 years ago

I need help on this question

Mathematics

1 answer:

PtichkaEL [24]3 years ago

6 0

Answer:Comment a text type it out letter by letter.

Step-by-step explanation:

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Please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22

RSB [31]

<h3>System of equations.</h3>

$\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right$

Put (1) to (2):

$3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}$

Substitute the value of x to (1):

$y=2\cdot2\\\boxed{y=4}$

Solution:

$\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}$

7 0

1 year ago

Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.

Luba_88 [7]

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)= (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

Learn more about the PROBABILITY here brainly.com/question/25870256

#SPJ4

5 0

1 year ago

Explain how knowing the asymptotes of a translation of y=1/x can help you graph the function. Include an example.

hichkok12 [17]

Answer:

fiure47rurrrussutkkdg

4 0

3 years ago

You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu

aev [14]

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to $180^{o}$ .

Let the exterior angle be represented by $x^{o}$ , and the three interior angles of the triangle be represented by $a^{o}$ , $b^{o}$ and $c^{o}$ .

Assume that the vertex angle $c^{o}$ is the linear pair to the exterior angle $x^{o}$ .

i.e $x^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles on a straight line)

Thus,

i. $a^{o}$ + $b^{o}$ = $x^{o}$ (sum of two opposite interior angles is equal to an exterior angle)

⇒ $a^{o}$ = $x^{o}$ - $b^{o}$

Also,

$b^{o}$ = $x^{o}$ - $a^{o}$

But,

$a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

⇒ $c^{o}$ = $180^{o}$ - ( $a^{o}$ + $b^{o}$ )

and

$a^{o}$ + $b^{o}$ = $180^{o}$ - $c^{o}$

ii. $a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

$a^{o}$ = $180^{o}$ - ( $b^{o}$ + $c^{o}$ )

Also,

$a^{o}$ + $b^{o}$ = $x^{o}$

⇒ $b^{o}$ = $x^{o}$ - $a^{o}$

$c^{o}$ = $180^{o}$ - $x^{o}$

8 0

3 years ago

The graph of the line y= 3 is a line that has which of the following characteristics?

vaieri [72.5K]

Answer:

Step-by-step explanation:

4 0

2 years ago