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4 years ago

Two less than 2 times a number is 64 plus the same number. Find the number.

Mathematics

1 answer:

pantera1 [17]4 years ago

5 0

The number should be 33

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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:

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

4 0

3 years ago

What value of r makes the equation true?

Svet_ta [14]

R would have to be equal to 0.08 in order for it to be true.

7 0

4 years ago

Its about ratios, no links<3

frez [133]

1. 35:10

2. 35:45

3.40:50

4. 2:5

And I dont know the rest

8 0

3 years ago

Example 2

Arada [10]

Answer:

y=x-2

Step-by-step explanation:

If you have drawn the graph of $y = x^2 - 3x + 1$ .

To determine the equation of the line which should be drawn to solve the equation: x² - 4x +3=0

Simply carry out the subtraction: $x^2 - 3x + 1 -(x^2 - 4x +3)$

$\implies x^2 -3x + 1-x^2 + 4x -3 \\= x^2 - x^2+ 4x - 3x-3 + 1\\=x-2$

The equation of the line which should be drawn is: y=x-2

What this means is simply:

$y = x^2 - 3x + 1$ and $y=x-2,$ then:\\x^2 - 3x + 1=x-2\\x^2 - 3x + 1-x+2=0\\x^2 - 4x + 3=0$

5 0

3 years ago

Solve.<br><br> −43x+16<79<br><br> please solve

Svetllana [295]

-43x + 16 < 79

Subtract 16 from both sides,
-43x < 63

Divide -43 from both sides,
x < -63/43

Hope this helps!

5 0

3 years ago

Read 2 more answers