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3 years ago

Given: -1/2x > 6. Choose the solution set.

Mathematics

1 answer:

kompoz [17]3 years ago

4 0

Answer:

x < -12

Step-by-step explanation:

-1/2x > 6

Multiply by -2 to isolate x

Remember that when multiplying by a negative, we flip the inequality

-2 * -1/2x < 6*-2

x < -12

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What are compatible numbers?

castortr0y [4]

Compatible numbers are numbers that are close in value to the actual numbers and easy to add, subtract, multiply, or divide mentally. They are useful in estimating the sum, difference, product, or quotient.

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3 years ago

How can you tell whether the parabola had a vertical or horizontal shift?

Schach [20]

If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.

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3 years ago

Six and forty-two ten-thousandths as a decimal

sergey [27]

Answer:

6.0042

Step-by-step explanation:

6 and forty-two ten-thousandths as a decimal.

mixed number : $6\frac{42}{10,000}$

decimal : 6.0042

7 0

3 years ago

Can someone pls help me with this question pls NUMBER 6

katrin2010 [14]

Supplementary angles definition: They add up to 180°

There are several ways to prove a parallelogram:

1. Opposite sides theorem converse

2. Opposite angles theorem converse

3. Parallelogram diagonals theorem converse

4. Parallel congruent sides theorem

∠P + ∠Q = 180° --1

∠P + ∠S = 180° --2

1: ∠P = 180° - ∠Q

Sub 1 into 2:

180° - ∠Q + ∠S = 180°

180° + ∠S = 180° + ∠Q

∠S = ∠Q

Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines

5 0

3 years ago

On a particular game show, there are 8 covered buckets and 2 of them contain a ball.

kobusy [5.1K]

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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.

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

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143$

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

7 0

3 years ago