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netineya [11]
3 years ago
14

The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?

Mathematics
1 answer:
Fed [463]3 years ago
4 0
I think its two i aint that sure though
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Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
3 years ago
A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
suter [353]

Answer:

V = 518cm^3

Step-by-step explanation:

Given

h = 15cm

R = 6cm

r =5cm

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

V = \pi R^2h

After the cut-out, the cylinder has a volume of:

V = \pi [R^2 -r^2]h

So, we have:

V = 3.14* [6^2 -5^2]*15

V = 3.14* [36 -25]*15

V = 3.14* 11*15

V = 518cm^3

6 0
2 years ago
How much is 1638074%283363+7336-736362886 is?
ArbitrLikvidat [17]

- 735.730.157..58824
the decimals are commas and the double decimal is a real decimal
7 0
3 years ago
Multiply: (3x - 5)( 4x2 - 2x - 3)​
Klio2033 [76]

Answer:

-21

Step-by-step explanation:

3x-5=2

4x 2=2

2x-3=2

add them together you will get -21

6 0
2 years ago
Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the three jump ropes will be the same
Vesnalui [34]

Answer:

The length of each rope is 9.93 feet (Approx).

Step-by-step explanation:

As given

Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes.

Each of the three jump ropes will be the same length.

Thus

Length\ of\ each\ rope = \frac{29.8}{3}

Length\ of\ each\ rope = 9.93\ feet(Approx)

Therefore the length of the each rope is 9.93 feet (Approx).



3 0
2 years ago
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