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2 years ago

Which numbers are the means of the proportion shown below 2/3 = 20/30

2 answers:

5 0

A proportion is simply a statement that two ratios are equal. In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

Consider given proportion

$\dfrac{2}{3}=\dfrac{20}{30}.$

Here, 2 and 30 are the extremes and 3 and 20 are the means.

Answer: the means are 3 and 20.

murzikaleks [220]2 years ago

3 0

It's 3 and 20.
If that's an option for you!

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Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the

AURORKA [14]

Answer:

The standard form of line is

$-3x+y=-2$

Step-by-step explanation:

we are given a line

slope=3

so,

$m=3$

y-intercept of -2

so,

$b=-2$

now, we can use slope-intercept form of line

$y=mx+b$

now, we can plug values

$y=3x-2$

we can write it in standard form of line

$ax+by=c$

$y=3x-2$

we can subtract both sides by 3x

$y-3x=3x-2-3x$

$y-3x=-2$

$-3x+y=-2$

So, the standard form of line is

$-3x+y=-2$

3 0

2 years ago

Read 2 more answers

Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second car

Nikolay [14]

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

5 0

2 years ago

Eloise started to solve a radical equation in this way: Square root of negative 2x plus 1 − 3 = x Square root of negative 2x plu

andreyandreev [35.5K]

Here I copy the steps and indicate where the error is.

Square root of negative 2x plus 1 − 3 = x=> this is the starting equation

√[ - 2x + 1] - 3 = x

Square root of negative 2x plus 1 − 3 + 3 = x + 3 in this step she added 3 to each side, which is fine

Square root of negative 2x plus 1 = x + 3 she made the addtions => fine

Square root of negative 2x plus 1 − 1 = x + 3 – 1 due to plus 1 in inside the square root, this step will not help

Square root of negative 2 x = x + 2 wrong! she cannot simplify - 1 that is out of the square root with +1 that is inside the square root

Then, from here on all is wrong, but she made other additional mistakes.

(Square root of negative 2 x)2 = (x − 4)2 −2x the right side should be (x+2)^2 which is x^2 + 4x +4 not (x-4)^2 - 2x

Later she made a mistake changing the sign of -8x to +8x

Those are the mistakes. Finally, the global error is that she should verify whether the found values satisfied the original equation.

3 0

2 years ago

Read 2 more answers

What is the triangle proportionality therom

zloy xaker [14]

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

5 0

2 years ago

When measuring volume of a cone, if the line goes all the way across the base, define this current value (what is the term for t

krek1111 [17]

Answer: the line across the circle is the diameter, you find diameter by multpyling radius by two

Step-by-step explanation:

6 0

2 years ago