HELP ASAP WILL MARK BRAINLIEST!!!

Add like terms: -3x - (-7x)

olga nikolaevna [1]

Answer:

-3x + 7x = 4x

8 0

3 years ago

28 is 12 less than k as an equation. what is the value of k

mojhsa [17]

28 = k - 12
28 + 12 = k
40 = k

6 0

3 years ago

Read 2 more answers

3 (x - 1) = 2x + 9 Is it A.infinite solutions B. One solution C. Zero solutions

kkurt [141]

Answer:

its infinite solution

Step-by-step explanation:

8 0

2 years ago

If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs

kolbaska11 [484]

Answer:

a. corresponding angles (congruent)

b. alternate exterior angles (congruent)

c. same-side interior angles (supplementary)

Step-by-step explanation:

The vocabulary associated with angles created by a transversal and parallel lines is not so difficult.

If angles are on the same side of the transversal, they are same-side angles. If not, they are alternate angles.

If angles are between the parallel lines, they are interior angles. If not, they are exterior angles.

If the angles are in the same direction from the point of intersection of the transversal with the parallel line, they are corresponding. Corresponding angles are same-side; one is interior and the other is exterior.

These names generally apply to angles with different vertices.

__

a. Both angles are northwest of the intersection point; they are same-side, and one is interior and one is exterior. They are corresponding angles. (congruent)

__

b. The angles are on opposite sides of the transversal and are outside the parallel lines. They are alternate exterior angles. (congruent)

__

c. The angles are on the same side of the transversal, and both are between the parallel lines. The are same-side interior angles. (supplementary)

3 0

2 years ago

A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.

Olegator [25]

Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

$P(A) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are prime: 2, 3, 5 and 7.

Similarly, we have

$P(B) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

Finally,

$P(A \land B) = \dfrac{3}{8}$

because 3 out of 8 numbers are prime and odd: 3, 5 and 7.

So, applying the formula, we have

$P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}$

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

Rather, you are adding a bit of information, because you are asking "what is the probability that a random number, taken from 1 to 8, is prime, knowing that it's odd?"

So, we're not working anymore with the space {1,2,3,4,5,6,7,8}, but rather with {1,3,5,7} (we already know that our number is odd).

Out of these 4 odd numbers, 3 are primes. This is why the probability of picking a prime number among the odd numbers in {1,2,3,4,5,6,7,8} is 3/4: they are literally 3 out of 4.

5 0

3 years ago