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Helga [31]
3 years ago
11

Find the intercepts for the equation. -2x + y = 10

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0
X-intercept: (-5, 0)
Y-intercept: (0, 10)
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Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from
e-lub [12.9K]

Answer:

The required probability is \frac{19}{40}

Step-by-step explanation:

The probability of obtaining a defective item from container 1 is P(E_1)=\frac{3}{8}

The probability of obtaining a good item from container 1 is P(E_1)=\frac{5}{8}

The probability of obtaining a defective item from container 2 is P(E_1)=\frac{2}{5}

The probability of obtaining a good item from container 2 is P(E_1)=\frac{3}{5}

The cases of the event are

1)Defective item is drawn from container 1 and good item is drawn from container 2

2)Defective item is drawn from container 2 and good item is drawn from container 1

Thus the required probability is the sum of above 2 cases

P(Event)=\frac{3}{8}\times \frac{3}{5}+\frac{5}{8}\times \frac{2}{5}=\frac{19}{40}

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4 years ago
Simplify the expression:<br> 4(2 + 5q) = 1
JulijaS [17]

Answer:

Step-by-step explanation:

4(2+5q) = 8 + 20q

8 + 20q = 1

20q = -7

q = -7/20

7 0
3 years ago
Write the equation of the parabola in vertex form.
givi [52]

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

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4 years ago
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Step-by-step explanation:

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What is parallel lines
Aliun [14]
Line that never touch each other
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