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3 years ago

Solve for x: 2 logz 2x = 6

Mathematics

1 answer:

Nikolay [14]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

if the equation is 2x=6 then you'd do 6/2 and 2x/2 to cancel out the 2 and get x=3

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A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t

tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

$D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8$

Total outcomes:

Two members from a set of 2 + 4 = 6. So

$T = C_{6,2} = \frac{6!}{2!4!} = 15$

Probability:

$p = \frac{D}{T} = \frac{8}{15} = 0.5333$

53.33% probability that one woman and one man will be chosen to be on the committee

5 0

3 years ago

What is the length of BC

elena55 [62]

Answer:

BC = 2

Step-by-step explanation:

We first need to use triangle BAD to find BD,

BD is the hypotenuse, so use pythagorean theorem...

(√23)² + (√13)² = (BD)²

23 + 13 = (BD)²

36 = (BD)²

6 = BD

Now BD is the hypotenuse of triangle BCD, so use pythagorean theorem agian to find BC

(4√2)² + (BC)² = 6²

32 + (BC)² = 36

(BC)² = 4

BC = 2

3 0

3 years ago

Solve the equation. 2.5 = 0 - (-20) 0-17.5 0-22.5 O 22.5 0 17.5

Nikolay [14]

Answer:

Step-by-step explanation:Simplifying

0 = 2.5y + -20

Reorder the terms:

0 = -20 + 2.5y

Solving

0 = -20 + 2.5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2.5y' to each side of the equation.

0 + -2.5y = -20 + 2.5y + -2.5y

Remove the zero:

-2.5y = -20 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0

-2.5y = -20 + 0.0

-2.5y = -20

Divide each side by '-2.5'.

y = 8

Simplifying

y = 8

SO the answer is y=8 I think srry if i get it wrong

3 0

3 years ago

12-6r=2r+36 (2-step equations)

mart [117]

Answer: r=-3

Step-by-step explanation:

12-6r=2r+36

12=8r+36

-24=8r

r=-3

5 0

2 years ago

Read 2 more answers

Which of the following sets represents a function?

Llana [10]

Step-by-step Answer:

Whenever two relations that has identical values in the independent variable, i.e. x, or the first variable, but having a different value for the dependent variable, it is NOT a function.

For example, {(5,4),(5,6),(2,3)} is NOT a function because the identical values of the independent variable "5" do not correspond to the same value of the dependent variable.

In other words, when we are given an input of 5, we do not know if the output is 4 or 6, so it is NOT a function.

If the output is defined whenever we are given a valid input, it is a function.

For the given examples,

{(3,5),(-1,7),(3,9)} => NOT a function because when given an input of "3", we cannot determine output.

{(1,2),(3,2),(5,7)} => IS a function, because when we are given any of the valid inputs (1, 3, or 5), we have a unique output.

Similarly the first one,

{(1,2),(1,4),(1,6)} => NOT a function, because we cannot determine a unique output when given an input of "1".

5 0

3 years ago