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Step2247 [10]
3 years ago
10

May someone help me with this?

Mathematics
1 answer:
lozanna [386]3 years ago
5 0
Segment WT and DG are congruent which means that the shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.
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Because gambling is a big​ business, calculating the odds of a gambler winning or losing in every game is crucial to the financi
IRISSAK [1]

Answer:

a) 0.1165

b) 0.0983

c) 0.000455

d) 0.787

e) 0.767

Step-by-step explanation:

5 ​bars, 4 ​lemons, 3 ​cherries, and a bell

Total = 5+4+3+1 = 13

The probability of getting a bar on a slot, P(Ba) = 5/13 = 0.385

A lemon, P(L) = 4/13 = 0.308

A cherry, P(C) = 3/13 = 0.231

A bell, P(Be) = 1/13 = 0.0769

a) Probability of getting 3 lemons = (4/13) × (4/13) × (4/13) = 256/2197 = 0.1165

b) Probability of getting no fruit symbol

On each slot, there are 4+3 = 7 fruit symbols.

Probability of getting a fruit symbol On a slot = 7/13

Probability of not getting a fruit symbol = 1 - (7/13) = 6/13 = 0.462

Probability of not getting a fruit symbol On the three slots = 0.462 × 0.462 × 0.462 = 0.0983

c) Probability of getting 3 bells, the jackpot = (1/13) × (1/13) × (1/13) = 1/2197 = 0.000455

d) Probability of not getting a bell on the 3 slots

Probability of not getting a bell on one slot = 1 - (1/13) = 12/13 = 0.923

Probability of not getting a bell on the 3 slots = (12/13) × (12/13) × (12/13) = 1728/2197 = 0.787

e) Probability of at least one bar is a sum of probabilities

Note that Probability of getting a bar = 5/13 and probability of not getting a bar = 8/13

1) Probability of getting 1 bar and other stuff on the 2 other slots (this can happen in 3 different orders) = 3 × (5/13)×(8/13)×(8/13) = 960/2197 = 0.437

2) Probability of getting 2 bars and other stuff on the remaining slot (this can also occur in 3 different orders) = 3 × (5/13)×(5/13)×(8/13) = 600/2197 = 0.273

3) Probability of getting 3 bars on the slots machine = (5/13) × (5/13) × (5/13) = 125/2197 = 0.0569

Probability of at least one bar = 0.437 + 0.273 + 0.0569 = 0.7669 = 0.767

5 0
3 years ago
Fiona has a box with 5 red buttons and 9 blue buttons.She randomly selected one button, took it out of the box, then selected an
leonid [27]

Answer:

B. 10/91

Step-by-step explanation:

Box has 5 red buttons and 9 blue buttons.

We add 5 and 9 to get the total buttons.

5 + 9 = 14

Then, we find the probability for a red button.

5/14 = .35

Now, that we've taken out 1 button.

The amount of buttons available changes.

14 - 1 = 13

There are 4 red buttons remaining.

The probability for a red button changes to 4/13.

4/13 = .30

Then, we multiply both probabilities.

.30 x .35 = .111

Convert to a fraction.

.111 = 10/91

Thus it would be B.

7 0
2 years ago
A factory makes circular rugs with a radius of 6.5 feet. How much braid do
Igoryamba
The answer is A, or 40.82 ft. This can be found using the formula for finding the perimeter of a circle: 2pir (2 x pi x radius). 2 x 3.14 = 6.28, and 6.28 x 6.5 = 40.82 ft. Hope this helps!
6 0
2 years ago
What is the measure of \purpleD{\angle x}∠xstart color #7854ab, angle, x, end color #7854ab? Angles are not necessarily drawn to
N76 [4]

Answer:

63

Step-by-step explanation:

3 0
2 years ago
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Once a bill leaves the Congress, how can a bill become a law? (Select all that anny
Fudgin [204]

Answer:

Once both the House and Senate have approved the bill in identical form, it becomes "Enrolled" and sent to the President of the United States. The President may sign the bill into law. The President can also take no action on the bill for ten days while Congress is in session and the bill will automatically become law.

4 0
3 years ago
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