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ryzh [129]
3 years ago
15

What is the length of line FB?

Mathematics
1 answer:
juin [17]3 years ago
8 0
The length of the line is 21.
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An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be >3
liraira [26]

Answer:   \bold{\dfrac{5}{12}}

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\

3 0
3 years ago
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
3 0
3 years ago
1. Jack is 30 years old and Alice is 35 years old. What percent of Alice's age is Jack, rounded to the nearest tenth of a percen
Firlakuza [10]
The answer would be 57percent
4 0
3 years ago
Which expression is the simplified form of -10 + 3x - x - 7x + 5x + 7 + 2x?
Mars2501 [29]

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

8 0
3 years ago
???.................
laila [671]

Answer:

The answer to your question would be C) y = 3x + 2.

Step-by-step explanation:

The components of a slope intercept form equation is the slope and the intercept. The y-intercept is the term thats by itself which, is +2. This means that the line goes through positive 2 on the plane. For the slope, it is always the coefficient thats next to the x variable. In this case, its 3, meaning that the next point that the line will be on is every 3 steps up and 3 steps towards the right. Hope this helps!

7 0
3 years ago
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