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2 years ago

In a box of mixed nuts, the ratio of cashews to almonds is 1 to 3. How many cashews are in the box if there are 12 almonds?

Mathematics

2 answers:

lidiya [134]2 years ago

6 0

Answer:

D: 4

hope i helped

i am doing time4learning and it is kinda frustrating

Step-by-step explanation:

look at this sunset and take 3 deep breaths

calm down and breath

masya89 [10]2 years ago

5 0

The correct answer would be D. :)

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The number of people arriving at a ballpark is random, with a Poisson distributed arrival. If the mean number of arrivals is 10,

Stella [2.4K]

Answer:

a) 3.47% probability that there will be exactly 15 arrivals.

b) 58.31% probability that there are no more than 10 arrivals.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

If the mean number of arrivals is 10

This means that $\mu = 10$

(a) that there will be exactly 15 arrivals?

This is P(X = 15). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 15) = \frac{e^{-10}*(10)^{15}}{(15)!} = 0.0347$

3.47% probability that there will be exactly 15 arrivals.

(b) no more than 10 arrivals?

This is $P(X \leq 10)$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-10}*(10)^{0}}{(0)!} = 0.000045$

$P(X = 1) = \frac{e^{-10}*(10)^{1}}{(1)!} = 0.00045$

$P(X = 2) = \frac{e^{-10}*(10)^{2}}{(2)!} = 0.0023$

$P(X = 3) = \frac{e^{-10}*(10)^{3}}{(3)!} = 0.0076$

$P(X = 4) = \frac{e^{-10}*(10)^{4}}{(4)!} = 0.0189$

$P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378$

$P(X = 6) = \frac{e^{-10}*(10)^{6}}{(6)!} = 0.0631$

$P(X = 7) = \frac{e^{-10}*(10)^{7}}{(7)!} = 0.0901$

$P(X = 8) = \frac{e^{-10}*(10)^{8}}{(8)!} = 0.1126$

$P(X = 9) = \frac{e^{-10}*(10)^{9}}{(9)!} = 0.1251$

$P(X = 10) = \frac{e^{-10}*(10)^{10}}{(10)!} = 0.1251$

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.000045 + 0.00045 + 0.0023 + 0.0076 + 0.0189 + 0.0378 + 0.0631 + 0.0901 + 0.1126 + 0.1251 + 0.1251 = 0.5831$

58.31% probability that there are no more than 10 arrivals.

8 0

3 years ago

Jenna starts with $50 and she sells her homemade cookies for $2 each. Elijah starts with $32 and he sells his homemade cookies f

GuDViN [60]

Answer:

if Jenna sold none, Elijah would sell 6... C=6

Step-by-step explanation:

Add 6 to 32

6 0

2 years ago

each row has a starting cart that it 4 feet long if this row is 43 feet long how many total carts are in it

Margaret [11]

Answer:

43/4 = 10.25 which rounds to the nearest whole number of 10 total carts

5 0

1 year ago

Convert. 19 ft = yd ft

Sonja [21]

Answer:

19 ft = 19/3 yd

Step-by-step explanation:

If 3 ft = 1 yd, then 19 ft = 1 yd * 19/3 ft = 19/3 yd

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2 years ago

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What is the area?<br> 6 mi<br> 4 mi<br> square miles

choli [55]

Answer:

12 sq mi

Step-by-step explanation:

base times height divided by 2

4 0

2 years ago

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