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BARSIC [14]
4 years ago
9

What is the solution to the equation?

Mathematics
1 answer:
babymother [125]4 years ago
6 0
What is the equation? I could try to assist you.

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A person draws a card from a hat. Each card is one color with the following probabilities of being drawn: 1/10 for red, 1/5 for
Kay [80]

Answer:

\dfrac{1}{4}

Step-by-step explanation:

We are given that a card is drawn from a hat.

Probability that a red card is drawn, P(red) = \frac{1}{10}

Probability that a blue card is drawn, P(blue) = \frac{1}{5}

Probability that a black card is drawn, P(black) = \frac{1}{20}

Probability that a pink card is drawn, P(pink) = \frac{1}{5}

All these events are mutually exclusive i.e. they do not have anything in common.

For any two events A and B which are mutually exclusive, with probability P(A) and P(B), the probability that any one of the two events occur:

P(A\cup B) = P(A) + P(B)

Here event A can be thought of as drawing a blue card and

event B can be thought of as drawing a black card

So, P(blue or black) = P(blue) + P(black)

\Rightarrow \dfrac{1}{5}+\dfrac{1}{20}\\\Rightarrow \dfrac{4+1}{20}\\\Rightarrow \dfrac{5}{20}\\\Rightarrow \dfrac{1}{4}

So, the probability that a blue or black card is drawn from the hat:

\dfrac{1}{4}

8 0
3 years ago
I need help on the properties of exponents.
lesantik [10]
The answer would be 6(y+x).

8 0
3 years ago
The y-intercept of the line whose equation is 3x + 2y = 7 A)-3/2 B)7/3 C)7/2
sp2606 [1]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 2y = 7 into this form

Subtract 3x from both sides

2y = - 3x + 7 ( divide all terms by 2 )

y = - \frac{3}{2} x + \frac{7}{2} ← in slope- intercept form

with y- intercept c = \frac{7}{2} → C

6 0
3 years ago
Radius of the circle is 20cm. there are two chords of lengths.
Vaselesa [24]

9514 1404 393

Answer:

  12 cm

Step-by-step explanation:

The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.

The chords are 12 cm from the center.

_____

You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...

  c² + d² = r²

  16² + d² = 20²

  d² = 400 -256 = 144

  d = √144 = 12 . . . . . cm

4 0
3 years ago
Ollie’s store bought t-shirts 6 for $10. They sell them 4for $10. They got $60. How many t-shirts did I they sell?
9966 [12]
They sold 24 t-shirts.
8 0
4 years ago
Read 2 more answers
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