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spin [16.1K]
3 years ago
14

Howmany days are their in a year

Mathematics
2 answers:
ra1l [238]3 years ago
4 0
365 days are in a year
alukav5142 [94]3 years ago
3 0
365 day in a year but some times in a leap year 364

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A baker blends 600 raisins and 400 chocolate chips into a dough mix and, from this, makes 500 cookies. (a) Find the probability
Nina [5.8K]

Answer:

a) P(X = 0) for raisins = 0.33287

b) P(X = 2) for chocolate chips = 0.14379

c) P(X ≥ 2) for both bits = 0.59399

Step-by-step explanation:

The average amount of raisin per cookie is 600/500 = 1.2

The average amount of chocolate chips per cookie = 400/500 = 0.8

a) Using Poisson's distribution function

P(X = x) = (e^-λ)(λˣ)/x!

For raisin, Mean = λ = 1.1

x = 0

P(X = 0) = (e⁻¹•¹)(1.1⁰)/(0!) = 0.33287

b) Using Poisson's distribution function

P(X = x) = (e^-λ)(λˣ)/x!

For chocolate chips, Mean = λ = 0.8

x = 2

P(X = 2) = (e⁻⁰•⁸)(0.8²)/(2!) = 0.14379

c) the probability that a randomly chosen cookie will have at least two bits (raisins or chips) in it.

For this, the average number of bit in a raisin = (600+400)/500 = 2 bits per raisin.

P(X ≥ 2) = 1 - [P(X = 0) + P(X = 1)]

For P(X = 0)

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 2

x = 0

P(X = 0) = (e⁻²)(2⁰)/(0!) = 0.13534

For P(X = 1)

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 2

x = 1

P(X = 1) = (e⁻²)(2¹)/(1!) = 0.27067

P(X ≥ 2) = 1 - [P(X = 0) + P(X = 1)]

P(X ≥ 2) = 1 - (0.13534 + 0.27067) = 1 - 0.40601 = 0.59399

8 0
3 years ago
Which expressions are equivalent to 35 + 30s - 45t?
stiv31 [10]
We have that
<span>35 + 30s - 45t

case A) 
</span>7⋅(5+30s−45t)---> 35+210s-315t-----> is not <span>equivalent 

case B)
</span>5(7+6s−9t)----> 35+30s-45t------> is equivalent to 35 + 30s - 45t

case C)
(−35−30s+45t)×(−1)----> 35+30s-45t---> is equivalent to 35 + 30s - 45t

case D)
 10×(3.5+3s−4.5)----> 35+30s-45---->  is not  equivalent 

case E) 
( 35/2 - 15s + 45/2t) ⋅ (-2)--->-35+30s-45t---> is not  equivalent 

the answer is
<span>B. 5(7+6s−9t)
C. (−35−30s+45t)×(−1)</span>
3 0
3 years ago
Read 2 more answers
Pls help, 50 pts!!!!
bulgar [2K]

Answer:

e/6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve the proportion:
Sav [38]

Answer:

Cross multiply

6k+18=150

6k= 132

k=132/6

k=23.66

4 0
3 years ago
Which shows the expression (4a ^ 5 * b) ^ 3 simplified?
marshall27 [118]
(4a^5*b)^3 is simplified to
= 64a^15b^3
6 0
3 years ago
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