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ANEK [815]
3 years ago
15

What is x?: 6x + 45 ≤ (-4x) - 105

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0
1. Take the 4x and add it to the 6x = 10x (always do x first, makes it easier)
2. Subtract 45 from -105 = -150
3. Divide 10 from -150 = -15
4. x is less than or equal to -15
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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
Help help help helpppp ASAP!
Margarita [4]

Answer: 12n-10= -58

+10. +10 (add to both sides)

12n. = -48

÷12. ÷12 (isolate variable)

n. = -4

6 0
2 years ago
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The product of 4 and a number is 5.6.<br><br> What is the number?
hodyreva [135]
Let this number be represented by the variable "n"

product of 4 and n is multiplying4 and n

4 * n = 5.6

divide 4 to both sides to isolate the variable on one side

n=1.4
8 0
2 years ago
1 cat + 20 dogs + 60 men + 5 shark=​
Goryan [66]

Answer:

Step-by-step explanation:

1 cat + 20 dogs + 60 men + 5 shark=​ 86

6 0
3 years ago
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How to do this question plz answer my question step by step plzz plz plz plz ​
never [62]

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

x + 55

x + 65

x + 120

The sum of all angles in a quadrilateral = 360°.

Therefore, (x + 55) + (x + 65) + (x + 120) = 360

Solve for x

x + 55 + x + 65 + x + 120 = 360

3x + 240 = 360

3x + 240 - 240 = 360 - 240

3x = 120

\frac{3x}{3} = \frac{120}{3}

x = 40

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

x + 55 = 40 + 55 = 95

x + 65 = 40 + 65 = 105

x + 120 = 40 + 120 = 160

3 0
2 years ago
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