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2 years ago

8

For every 1 litre of water used to make a medicine, 199ml of sucrose and 271ml of saline solution are used. Express the amount o

f water, sucrose and saline solution needed as a ratio in its simplest form.

1 answer:

GuDViN [60]2 years ago

3 0

Answer:

Step-by-step explanation:

water = 1 litre = 1000 ml

water : sucrose : saline = 1000 : 199 : 271

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In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that

attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable $X\sim Poisson(\lambda = 0.62)$ .

The probability function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...$

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

= 1 - P (X = 0) - P (X = 1)

$=1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252$

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: $\lambda=7\times0.62=4.34$

Compute the probability of no deaths in a corps over 7 years as follows:

$P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130$

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1 year ago

A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty

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Answer:

455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

15C3 = 15·14·13/(3·2·1) = 35·13 = 455

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If two or three of the topping choices can be the same, then there are an additional ...

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ways to make the pizza, for a total of ...

455 + 225 = 680

different types of pizza.

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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

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nCk = n!/(k!(n-k)!)

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2 years ago

What are the measures of Arc J K and ∠KIJ?

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Answer:

104 and 52

Step-by-step explanation:

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1 year ago

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<u>Part 1) which angle is congruent to Angle 1?</u>

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we know that

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therefore

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Alternate Exterior Angles Theorem

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we know that

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