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Mice21 [21]
3 years ago
15

The sale bin in a clothing store contains an assortment of t-shirts in different sizes. There are 7 small, 8 medium, and 4 large

shirts. Alan is looking for a large shirt. He starts grabbing shirts one at a time and checking the size. After he checks each shirt, he leaves it outside the bin. What is the probability that at least one of the first four shirts he checks is a large?
Mathematics
1 answer:
umka21 [38]3 years ago
4 0

Answer:

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

Step-by-step explanation:

We have 7 small shirts, 8 medium shirts and 4 large shirts

Total number of shirts = 7 + 8 + 4 = 19 shirts

The probability that at least one of the first four shirts he checks is a large is given by

P(at least 1 large) = 1 - P(no large)

So first we need to find the probability that the none of the first four shirts he checks are large.

For the first check, there are 15 small and medium shirts and total 19 shirts so,

15/19

For the second check, there are 14 small and medium shirts and total 18 shirts left so,

14/18

For the third check, there are 13 small and medium shirts and total 17 shirts left so,

13/17

For the forth check, there are 12 small and medium shirts and total 16 shirts left so,

12/16

the probability of not finding the large shirt is,

P(no large) = 15/19*14/18*13/17*12/16

P(no large) = 0.352

Therefore, the probability of finding at least one large shirt is,

P(at least 1 large) = 1 - P(no large)

P(at least 1 large) = 1 - 0.352

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

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The sum of angle V and angle W is 90 degrees. If cos W = 5/13, what is sin V? A. 5/13 B. 12/13 C.12/5 D. 13/5
Savatey [412]

Answer:

I think the answer to the question should be C

Step-by-step explanation:

3 0
3 years ago
Answer this <br> then i will mark u as brainliest
sashaice [31]

Answer:

A, it will decrease by 90.

Step-by-step explanation:

If the number is 92,320 and you interchange 2 and 3, you would get 92,230. 320-230 equals 90, therefore giving you the answer.

5 0
2 years ago
Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviatio
Dimas [21]

Answer:

(A) and (D)

Step-by-step explanation:

It is given that Three basketball teams measured the height of each player on their team.

Team  Mean height (cm) MAD (cm)

Bulldogs  165                          6.9

Panthers  177                          7.1

Warriors  176                        4.8

From the information given, The heights of the Bulldogs’ players vary more than do the Warriors’ heights and The heights of the Panthers’ players and those of the Warriors vary about the same amount.

Therefore, option A and d are the correct statements about the data given.

4 0
3 years ago
Read 2 more answers
Can someone explain how this is right please
Daniel [21]
Because when you add them all up that's what the answers are
4 0
3 years ago
Please help me!!!! Help me find the dimensions. :(
Gnom [1K]
The volume, surface area and the ratios of the SA to volume will be as follows:
Volume=πr²h
Area=2πr²+πdh
Ratio of SA to volume=Area/volume
π=3.14
Thus using the above formula:

1.
a]
Radius: 3 inches
Height: 2 inches
Volume=πr²h
volume=π×3²×2=56.52 in³

b]
Area=2πr²+πdh
2×π×3²+π×2×3×2
=56.55+37.68
=94.23 in²

c]
Ratio=area/volume
=94.23/56.52
=1.6672


1. 
Radius: 2 inches
Height: 9 inches

a]
V=πr²h
V=3.14*2^2*9
V=113.04 in³

b] 
Area=2πr²+πdh
=2*3.14*2^2+3.14*2*2*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

3.
Diameter=4 inches
Height= 9 inches

a]
V=πr²h
V=3.14×2²×9
V=113.04

b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*4*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

4]
Diameter: 6 inches
Height: 4 inches

a]
Volume=πr²h
=3.14×3²×4
=113.04 in³

b]
Area=2πr²+πdh
=2×3.14×3²+3.14×6×4
=56.52+75.36
=131.88 in²

c] Ratio
131.88/113.04
=7/6

1. For the surface area to volume to be small it means that the area is smaller than the volume, for surface area to volume  be larger it means that the surface area is larger than the volume. It is more economical for the surface area to volume to be small because it will mean that small amount of materials make cans with large volume. This means cost of production is cheaper.

2. To evaluate this process let's use one of the dimensions:
Radius: 3 inches
Height: 2 inches:

i. add radius and height:
3+2=5 inches
ii. Multiply radius and height:
3×2=6
iii. Dividing the result from step 1 by the result in step 2:
5/6

iv. Multiply the result from step 3 by 2:
5/6×6
=5
This result does not seem to add up to the result in our earlier ratio. Thus we conclude that Khianna was wrong. This method can't work with 3-D figures.


7 0
3 years ago
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