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wlad13 [49]
3 years ago
15

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t

hat she draws a heart and then a spade? [Note: There are 13 each of hearts, spades, clubs, and diamonds.]
Mathematics
2 answers:
erma4kov [3.2K]3 years ago
4 0
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is \dfrac14\cdot\dfrac14=\dfrac1{16}.
Anit [1.1K]3 years ago
4 0

Answer:

1/16

Step-by-step explanation:

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Talja [164]

Answer:

1. 7

2. 5/8

3. 5

4. 20

Step-by-step explanation:

There is one burger that weighs 3/8 pounds, four that weigh 1/2 pound, and two that weigh 3/4 pounds. The difference between the heaviest and the lightest is 3/4-1/8=5/8. The total combined weight is 5 pounds. 5/ 1/4= 5*4=20. Hope this helps!

5 0
3 years ago
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Few drivers realize that steel is used to keep the road surface flat despite the weight of buses and trucks. Steel bars, deeply
Mrrafil [7]

Answer: Is reinforced with other material

Step-by-step explanation:

The options are:

A is expensive to build.

B usually cracks under heavy weights.

C looks like any other road.

D is reinforced with other material.

The passage best supports the statement that a concrete road are reinforced with other material. According to the information given in the passage, steel plays a vital role in keeping the road surface flat.

Steel bars are embedded in concrete so that the stresses cannot crack the slab. Therefore, it indicates that concrete road is reinforced with other material.

4 0
2 years ago
A group of learners is trying to identify the vertices of the feasible region from the graph shown below during a Live Classroom
wel

Answer:

what do you want us to answer?

Step-by-step explanation:

3 0
3 years ago
Through (0,2) and (4,1) write the slope intercept form of the equation of the line
lesya692 [45]

Answer:

y= -1/4x+2

Step-by-step explanation:

use the slope formula to get the slope: y2-y1/x2-x1 or 1-2/4-0 subtract to get -1/4 that is the m(slope)*x in y=mx+b now for b it is the point in which x=0 so the first point has x=0 and it's y is 2 so b is 2. put it together to get y=-1/4x+2

6 0
3 years ago
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100 points!! Brainliest if correct!!
Elena-2011 [213]

surface area (S) of a right rectangular solid is:

S = 2*L*W + 2*L*H + 2*W*H (equation 1)

where:

L = length

W = width

H = height

-----

you have:

L = 7

W = a

H = 4

-----

formula becomes:

S = 2*7*a + 2*7*4 + 2*a*4

simplify:

S = 14*a + 56 + 8*a

combine like terms:

S = 22*a + 56

-----

answer is:

S = 22*a + 56 (equation 2)

-----

to prove, substitute any value for a in equation 2:

let a = 15

S = 22*a + 56 (equation 2)

S = 22*15 + 56

S = 330 + 56

S = 386

-----

since a = 15, then W = 15 because W = a

go back to equation 1 and substitute 15 for W:

S = 2*L*W + 2*L*H + 2*W*H (equation 1)

where:

L = length

W = width

H = height

-----

you have:

L = 7

W = 15

H = 4

-----

equation 1 becomes:

S = 2*7*15 + 2*7*4 + 2*15*4

perform indicated operations:

S = 210 + 56 + 120

S = 386

-----

surface area is the same using both equations so:

equations are good.

formula for surface area of right rectangle in terms of a is:

S = 22*a + 56

-----

8 0
3 years ago
Read 2 more answers
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