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Umnica [9.8K]
3 years ago
7

Please help! Correct answer only! This assignment is due today.

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

  0.2601

Step-by-step explanation:

There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.

There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.

So, the probability of interest is ...

  252/969 ≈ 0.2601

_____

nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n

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Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?
andreyandreev [35.5K]

Answer:

D.

Step-by-step explanation:

The equation given takes the point-slope form which is, y - b = m(x - a). Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of y - 2 = 3(x - 1), look for the points which will give you something almost exactly as the equation if you substitute their values into y - b = m(x - a).

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into y - b = m(x - a)

We have:

y - (2) = m(x - (1))

y - 2 = m(x - 1)

As you can see, this looks almost exactly as

y - 2 = 3(x - 1).

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into y - 2 = m(x - 1) to find m:

In graph D, let's take the points (0, -1)

-1 - 2 = m(0 - 1)

-3 = m(-1)

-3 = -m

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line y - 2 = 3(x - 1).

3 0
3 years ago
Paul lands a home mortgage of $58,200 at a
qwelly [4]

Answer:

$72,100

Step-by-step explanation:

To calculate the total principal+interest payment, you can use the formula to find the future value:

FV=PV(1+i)^n

FV= Future value

PV= Present value= $58,200

i= Interest rate= 7.40%

n= Number of periods of time= 3 years

Now, you can replace the values on the formula:

FV=58,200*(1+0.0740)^3

FV=58,200*(1.0740)^3

FV=72,100

According to this, the answer is that the  total principal + interest  payment will be $72,100.

8 0
3 years ago
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antiseptic1488 [7]
The answer to your question is .........
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Choose 3 ratios in simplest form. 3:9
Sonja [21]

Answer:

Step-by-step explanation:

1:3

6:18

9:27

are all equivlent ratios

7 0
3 years ago
Which two numbers add up to 6 and multiply to -40
Damm [24]
10 and -4 can add up to give 6 and multiply to give -40
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4 years ago
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