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3 years ago

What is 90000 * 852484

Mathematics

2 answers:

ella [17]3 years ago

8 0

90000 * 852484 = 76723560000

egoroff_w [7]3 years ago

7 0

The answer is 76,723,560,000

in scientific notation its 7.672356 * 10 to the 10th power

in word form its 76 billion, 723 million, 560 thousand

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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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Answer:

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Step-by-step explanation:

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3 years ago

How do i solve this equation -4p+9=-5

gregori [183]

Answer:

p = 7/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-4p + 9 = -5

Step 2: Solve for p

Subtract 9 on both sides: -4p = -14
Divide -4 on both sides: p = 7/2

Step 3: Check

Plug in p into the original equation to verify it's a solution.

Substitute in p: -4(7/2) + 9 = -5
Multiply: -14 + 9 = -5
Add: -5 = -5

Here we see that -5 does indeed equal -5.

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