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Thepotemich [5.8K]
3 years ago
10

True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events

Mathematics
2 answers:
s2008m [1.1K]3 years ago
6 0

Answer:false

Step-by-step explanation:

alukav5142 [94]3 years ago
4 0

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be \frac{4}{52}

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. Thus, the answer to this question is TRUE

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Find the distance between the two points (2, -9) and (-1, 4) round to the nearest tenth .
QveST [7]

Answer:

13.3 units (nearest tenth)

Step-by-step explanation:

\boxed{Distance \: between \: 2 \: points =  \sqrt{ {(x1 - x2)}^{2} +  {(y1 - y2)}^{2}  } }

Using the formula above, distance

=  \sqrt{ {[2 - ( - 1)]}^{2}  + ( - 9 - 4)^{2} }

=  \sqrt{ {(2 + 1)}^{2} + ( - 13) {}^{2}  }

= \sqrt{ {3}^{2} + ( - 13) {}^{2}  }

=  \sqrt{9 + 169}

=  \sqrt{178}

= 13.3 units (nearest tenth)

7 0
3 years ago
Rewrite the equation by completing the square.
dlinn [17]

Answer:

(x + 1/2)^2 =  289/4

Step-by-step explanation:

x^2+x-72=0

Write like this:

(x + ___)^2 = ___

put 72 on other side

x^2 + x  = 72

x^ + x  + (1/4) = 72  + (1/4)

(x + 1/2)^2 =  289/4

x + (1/2) =  17/2

8 0
3 years ago
Type the equation that shows the pattern among this set of ordered pairs.
Varvara68 [4.7K]
First find the slope between any two points:

\sf Slope=\frac{y_2-y_1}{x_2-x_1}

Where \sf (x_1,y_1),(x_2,y_2) are the two points

So calculating the slope:

\sf Slope=\frac{7-5}{2-1}=\frac{2}{1}=2

So the slope is \boxed{2}

And our equation will be in the format of \sf y=mx+b
where \sf m~ is~ the ~slope and \sf b ~is~the~y-intercept

So, now we have half of the equation:

\sf y= 2x+b

Now to calculate b, we can plug in a point \sf (x,y) and solve for b.

So

\sf y= 2x+b

Lets use the point
\sf (1,5) which ~is~in~the~form ~of ~(x,y)

So:
\sf 5=2(1)+b

And then:
\sf b=3

So our final equation is \sf \boxed{y=2x+3}
5 0
4 years ago
Find the surface area of a cone with volume 320pi and height 15 (hint: don't use the height in
Mariana [72]

Answer:

200π

Step-by-step explanation:

Surface area of a cone  = πr(r+l)

r is the radius

l is the slant height

Volume of the cone = 1/3πr²h

320π = 1/3πr²h

320 = 1/3r²(15)

320 = 5r²

r² = 320/5

r² = 64

r = 8

l² = 15² + 8²

l² = 225 + 64

l² = 289

l = 17

Get the surface area;

S =  πr(r+l)

S =  π8(8+17)

S = π*8*25

S = 200π

Hence the surface area of the cone is 200π

8 0
3 years ago
F(x)=2x^2-5 how do I graph this and how do I solve this
Marysya12 [62]

Answer:

There isn't a way to do this accurately, but if you just want to sketch the graph.

Step-by-step explanation:

5 0
4 years ago
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