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densk [106]
3 years ago
12

You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc

omes are there for this compound event?
Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

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how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 _
san4es73 [151]

It's not entirely clear to me what you're trying to solve, but it looks like the initial equation is

\dfrac{a-2}{a+3} -1 = \dfrac3{a+2}

First convert each term into a fraction with the same (i.e. the least common) denominator. The first term needs to be multiplied by <em>a</em> + 2; the second term by (<em>a</em> + 3) (<em>a</em> + 2); and the third term by <em>a</em> + 3 :

\dfrac{a-2}{a+3}\cdot\dfrac{a+2}{a+2} -1\cdot\dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac3{a+2}\cdot\dfrac{a+3}{a+3} \\\\ \dfrac{(a-2)(a+2)}{(a+3)(a+2)} - \dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac{3(a+3)}{(a+3)(a+2)}

Now that everything has the same denominator, we can combine the fractions into one. Move every term to one side and join the numerators:

\dfrac{(a-2)(a+2)-(a+3)(a+2)-3(a+3)}{(a+3)(a+2)} = 0

Simplify the numerator:

\dfrac{(a^2-4)-(a^2+5a+6)-(3a+9)}{(a+3)(a+2)} = 0 \\\\ \dfrac{-8a-19}{(a+3)(a+2)} = 0

If neither <em>a</em> = -3 nor <em>a</em> = -2, we can ignore the denominator:

-8a-19 = 0

Solve for <em>a</em> :

-8a = 19 \\\\ \boxed{a = -\dfrac{19}8}

4 0
3 years ago
Shawn bought a beautiful house for 350,000. her loan was for 30 years at 6.5% APR. how much money will she
viva [34]

Answer:

D

Step-by-step explanation:

I am not sure if my answer is right, this is what I did :-

350,000 x 30 = 10,500,000

10,500,000 x 6.5% = 682,500

Tell me if I was right. Thank you !!

3 0
3 years ago
F(x) = -4x2 + 4x – 4<br> Find f(3)
ValentinkaMS [17]

F(3) occurs when x =3. So lets plug 3 into our equation.

f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28

F(3) = -28

I hope this helps! :)

5 0
3 years ago
Help!! Find the value of f(3)
nekit [7.7K]

Answer:

Step-by-step explanation:

Start with where it tells you the value of x. The value of x is 3. That's given by    f(x) = f(3)

Next see which one of the functions you use. x > 0 is given by x^4 - 7. Since 3 is greater than zero you use x^4 - 7

f(3) means that wherever you see an x on the right side, you put a 3.

f(x) = x^4 - 7

f(3) = 3^4 - 7

f(3) = 81 - 7

f(3) = 74

5 0
3 years ago
I need help on number 9
umka21 [38]

Answer:


Step-by-step explanation:

You used Pythagorean theroem which is correct as this does form a right triangle however 50 is the hypotenuse as the ladder is propped up against the wall. 30 would then be the height of the triangle and the base is unknown so...

50^{2} = 30^{2} + x^{2}

50 squared minus thirty squared gives 1600 so:

1600 = x^{2}

Therefore x is the square root of 1600 which is 40

7 0
3 years ago
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