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3 years ago

look at the table of x and y (1-3) (2-7) (3-11) which equation is represented by the table a)y=2x+1 B)y=3x+2 C) y=4x-1 D)5x-3

1 answer:

7 0

(1,3) , (2,7), and (3,11):
Let's find the slope m between (1,3) and (2,7)
Slope = Rise / Run
m = (7-3) / (1)
m = 4.

Our equation y=mx +b has a slope of 4. Since C is the only option that satisfies this, we already know the answer, but let's find the y-intercept.
y = mx + b. Plug in 4 for m, and the first coordinate (1,3) for x and y
3 =4(1) + b Subtract 4 from both sides
b = -1
Our function is y =4x - 1
Answer is C) y=4x-1

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The sum of the two angles of a triangle is 80 degree and their difference is 20 degree. find all the angles of the triangle.

Norma-Jean [14]

Sum of 2 angles = 80°

Difference = 20°

If we take away 20° from the sum, both angles are equal

⇒80 - 20 = 60°

Divide by 2 to find the smaller angle:

60 ÷ 2 = 30

Add 20° to find the bigger angle:

20 + 30 = 50°

One of the angle is 30° and the other angle is 50°

Given that the sum of the two angles is 80°

⇒ Third angle = 180 - 80 = 100°

Answer: The 3 angles are 30° , 50° and 100°

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Of 80 t-shirts, 10% are white, 30% are blue and the rest are red. How many are red?

juin [17]

There is 60% of red t-shirts 40% of them are white and blue so the reds are 60%

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If m /_1=37 degrees, what is m/_4?

meriva

53 degrees because it's complementary.

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3 years ago

(x -1) = 26 = -4x A. -7 5/7 B. 8 C. -7 D. -5

Volgvan

Based on the answer choices, we suspect you intend
.. (x -1) +26 = -4x

This simplifies to
.. x +25 = -4x
.. 25 = -5x . . . . . subtract x
.. -5 = x . . . . . . . divide by the coefficient of x

Selection D appears to be appropriate for the question we think you asked.

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4 years ago

10 black balls and 5 white balls are placed in an urn. Two balls are then drawn in succession. What is the probability that the

Alex787 [66]

Answer:

The probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball is $\frac{1}{3}$ or 0.3333

Step-by-step explanation:

Probability is the greater or lesser possibility that a certain event will occur. In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law:

$P(A)\frac{number of favorable cases of A}{total number of possible cases}$

Each of the results obtained when conducting an experiment is called an elementary event. The set of all elementary events obtained is called the sample space, so that every subset of the sample space is an event.

The total number of possible cases is 15 (10 black balls added to the 5 white balls).

As each extraction is without replacement, the events are dependent. For that, the dependent probabilities are defined first

Two events are dependent on each other when the fact that one of them is verified influences the probability of the other being verified. In other words, the probability of A happening is affected because B has happened or not.

The probability of two events A and B of two successive simple experiments in a dependent compound experiment is:

A and B are dependent ⇔ P (A ∩ B) = P (A) · P (B / A)

P (A ∩ B) = P (B) · P (B / A)

As the color of the first ball that is extracted is unknown, there are two cases: that the ball is black or that the ball is white.

It will be assumed first that the first ball drawn is black. Then the probability of this happening is $\frac{10}{15}$ since the number of black balls in the urn is 10 and the total number of cases is 15. It is now known that the second ball extracted will be white. Then the number of favorable cases will be 5 (number of white balls inside the ballot urn), but now the number of total cases is 14, because a ball was previously removed that was not replaced. So the probability of this happening is $\frac{5}{14}$

So the probability that the first ball is black and the second white is:

$\frac{10}{15} *\frac{5}{14} =\frac{5}{21}$

It will now be assumed first that the first ball that is drawn is white. Then the probability of this happening is $\frac{5}{15}$ since the number of white balls in the urn is 5 and the total number of cases is 15. And it is known that the second ball drawn will be white. Then, the number of favorable cases will be 4 (number of white balls inside the urn, because when removing a white ball and not replacing it, its quantity will decrease), and the total number of cases is 14, same as in the previous case So, the probability of this happening is $\frac{4}{14}$

So the probability that the first ball is white and the second white is:

$\frac{5}{15} *\frac{4}{14} =\frac{2}{21}$

If A and B are two incompatible events, that is, they cannot occur at the same time, the probability of occurrence A or of occurrence B will be the sum of the probabilities of each event occurring separately.

These are events are incompatible, since I cannot, in a first extraction, extract a black and white ball at the same time. So:

$\frac{5}{21} +\frac{2}{21} =\frac{7}{21}=\frac{1}{3} =0.3333$

Finally, the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball is $\frac{1}{3}$ or 0.3333

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3 years ago