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2 years ago

This is about the cone formula. If you don't know it, please don't answer. If you do, PLEASE ANSWER.

Mathematics

1 answer:

lions [1.4K]2 years ago

6 0

9514 1404 393

Answer:

(b) 10.5 in

Step-by-step explanation:

The formula for the volume of a cone is ...

V = 1/3πr²h . . . . . . for radius r and height h

Then the height is ...

h = 3V/(πr²)

Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...

h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in

The height of the cone is about 10.5 inches.

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What would you Estimate 0.49

love history [14]

Answer:

. 50

Step-by-step explanation:

You would round to the closest number

. 49 is closer to. 50 than. 40

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Giselle spent 7/10 of her money on a book and 10/100 of her money on food. What fraction of her money did she spend altogether?

aleksklad [387]

Answer:

80/100 or 80%

Step-by-step explanation:

7/10 = 70/100

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Plz help 7x^2 - 6(x + 3)

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Answer:

7x² - 6x - 18

Step-by-step explanation:

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2 years ago

Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul

IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: $P(k) = \frac{\lambda^ke^{-k}}{k!}$ where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and $\lambda = 7$ into the formula:

$P(k=7) = \frac{7^7e^{-7}}{7!}$

$P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%$

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

$P(k\leq2) = P(k=0)+P(k=1)+P(k=2)$

$P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}$

$P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}$

$P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%$

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

$P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%$

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2 years ago

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Tju [1.3M]

Answer:

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