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Sliva [168]
3 years ago
7

You have a 3-card deck containing a king, a queen, and a jack. You draw a random card, then put it back and draw a second random

card. Calculate the probability that you draw exactly 1 king.
Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0
Probability that you will draw exactly 1 king

P(draw both jacks) = 1/3*1/3 = 1/9P(no jacks) = 2/3*2/3 = 4/9P(1 jack) = 1 - 1/9 - 4/9 = 4/9
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Please answer CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!
Feliz [49]

Answer:

5m

and

-8n

Step-by-step explanation:

7m - 2m = 5m

and

-5n - 3n = -8n

Have a great day

7 0
3 years ago
You are to run a conduit diagonally across a parking lot that is 200 ft long and 60 ft wide. How much conduit will you need to c
torisob [31]

Answer:209ft

Step-by-step explanation:

We let y be the unknown value, which is length of conduit.

200^2 + 60^2=y^2

40000 + 3600=y^2

43600=y^2

Square both side

y= sqrt(43600)

y= 208.8061 ft

y=209 ft

3 0
3 years ago
t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio
masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

A=\pi r^2

Where r = radius

Thus the area of the circular region

\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}

The area of the square is given by the formula:

=(side)^2

Thus the area of the given square

\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}

The probability of an event is given by the formula:

P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}

The probability that the dart land will be in the shaded region

=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}

Thus probability

\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0
1 year ago
The temperature was -13°F and then rose 9°F.<br>what's the temperature?
alexgriva [62]
The temperature rose 22 degrees
3 0
3 years ago
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Find the solution to the following system by substitution.
miv72 [106K]

Answer:

A. (2,10)

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5x + y = 20

y = 5x

The second equation is already solved for y, so substitute 5x for y in the first equation to find x.

5x + 5x = 20

10x = 20

x = 2

Now substitute 2 for x in the second original equation to find y.

y = 5(2)

y = 10

Answer: (2, 10) which is A.

8 0
3 years ago
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