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2 years ago

What steps would you do to solve 3x – 5 ≥ -12?

Mathematics

1 answer:

alekssr [168]2 years ago

7 0

Answer:

D.)

Step-by-step explanation:

In order to solve you would need to first get the number with the variable by itself. So first we'd need to add 5 to the other side and we would add it bc when we move a number over the equals sign (which is what were considering the greater than sign to solve)

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4 to the power of 55

LenaWriter [7]

$\\ \sf\longmapsto 4^{55}$

$\\ \sf\longmapsto (4^5)^{11}$

$\\ \sf\longmapsto 1024^{11}$

$\\ \sf\longmapsto 1024^31024^41024^3$

$\\ \sf\longmapsto 1,073,741,824\times 1,073,741,824\times 1,099,511,627,776$

$\\ \sf\longmapsto 1.29807421E+33$

6 0

3 years ago

For each set of probabilities, determine whether the events A and B are independent or dependent.

lozanna [386]

Answers:

(a) Independent
(b) Dependent
(c) Dependent
(d) Independent

========================================================

Explanation:

If events A and B are independent, then the two following equations must both be true

P(A | B) = P(A)
P(B | A) = P(B)

This is because the conditional probability P(A|B) means "P(A) when B has happened". If B were to happen, then P(A) must be the same as before. In other words, event B does not affect A, and vice versa.

For part (a), we have P(B) = 1/4 and P(B|A) = 1/4 showing that P(B|A) = P(B) is true, and therefore we can say the events are independent. We don't need the info that P(A) = 1/8.

------------------------

Unlike part (a), part (b) has the answer "dependent" because P(A) = 1/8 and P(A | B) = 1/3 differ in value. Event A starts off at probability 1/8, but then event B occurring means P(A) gets increased to 1/3. The prior knowledge about B changes the chances of A. The P(B) = 1/5 is unneeded.

------------------------

If A and B were independent, then,

P(A and B) = P(A)*P(B)

However,

P(A)*P(B) = (1/4)*(1/5) = 1/20

which is not the same as P(A and B) = 1/6. Therefore the two events are dependent.

------------------------

Refer back to part (a)

P(A) = 1/4 and P(A|B) = 1/4 are identical in value, so P(A|B) = P(A) which leads to the events being independent. Whether we know event B happened or not, it does not affect the outcome of event A. P(B) = 1/9 is unneeded.

7 0

2 years ago

Which of the following sets of numbers could be the side lengths of a right triangle?

Aneli [31]

Answer:

5, 12, 13

Step-by-step explanation:

Its a pythagorean triple

5 0

2 years ago

rosy has 16 pencils and 24 erasers. she is putting together packets that will have an equal number of pencils and erasers in eac

faust18 [17]

Answer:48

Step-by-step explanation: you were indirectly asked for the L.C. M of 16 and 24

4 0

3 years ago

How do you create and solve equations in one variable given a real– world situation? Please help its for my DBA

AleksAgata [21]

can you elaborate on your question please? what do you mean how?

7 0

3 years ago