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2 years ago

A, B and C are collinear points. B is between A and C. AB=12 BC=18 AC=3x Find X.

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

3 0

Answer:

$x =10$

Step-by-step explanation:

Given

$AB = 12$

$BC = 18$

$AC = 3x$

Required

Solve for x

Since B is in between both points, then:

$AC = AB + BC$

This gives

$3x = 12 + 18$

$3x = 30$

Divide by 3

$x =10$

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A container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 1/3 ft

zhuklara [117]

The answer is 252 ft3 because logically if the cubes had a length of one foot, the rectangular prism would be 756 feet, so you would just divide that number by three considering that the cubes are only 1/3 of a foot.
Hope this helps !!
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3 0

2 years ago

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 51% chan

Charra [1.4K]

Answer:

a) 0.3270 = 32.70% probability that Christine fails the course

b) 0.3917 = 39.17% probability that she had found someone to help

Step-by-step explanation:

We have these following probabilities:

61% probability that Christine find a coach.

100 - 61 = 39% probability that Christine does not find a coach.

With a coach, a 21% probability of failing.

Without a coach, a 51% probability of failing.

a. What is the probability that Christine fails the course?

21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So

P = 0.21*0.61 + 0.51*0.39 = 0.327.

0.327 = 32.7% probability that Christine fails the course

b. Christine ends up failing the course. What is the probability that she had found someone to help?

This can be formulated by the Bayes formula:

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.

In this question.

P(B|A) is the probability of finding a tutor given that she failed.

P(B) is the probability of finding a tutor. So P(B) = 0.61.

P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21

P(A) is the probability of failing. So P(A) = 0.327.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.61*0.21}{0.327} = 0.3917$

0.3917 = 39.17% probability that she had found someone to help

4 0

2 years ago

5. Combien de paires de nombres naturels peut-on former dont : a) la somme est 23? b) la différence est 100?

Lilit [14]

Answer: a) 24 b) infini

Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione

3 0

7 months ago

Jack leased a car for $159/month for 36 months. The amount due when he signed the lease was $2399. How much did Jack pay during

ArbitrLikvidat [17]

Quick question before I answer: Did he have to pay $2,399 when he signed the lease, or was that just how much he had to pay in total over the course of 36 months?

6 0

2 years ago

3. Consider the linear equation 2y - 3x = 5.

nignag [31]

Answer:

Step-by-step explanation:

2y - 3x = 5

2(-2) - 3x = 5

-4 - 3x = 5

-3x = 9

x = -3

(-3,-2) is another solution

(-1,1)

2y - 3x = 5

2(1) - 3(-1) = 5

2 + 3 = 5

5 = 5

true, the point is a solution to the equation because the equation is true after substituting x and y with the point (-1,1)

(4,1)

2y - 3x = 5

2(1) - 3(4) = 5

2 - 12 = 5

-10 = 5

not true, the point is not a solution to the equation because the equation is not true after substituting x and y with the point (4,1)

c. You can use the points from the given (-1,1) and (-3,-2) to form a line. You then shade whichever half solves the solution using points on the graph.

8 0

1 year ago