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3 years ago

Find two consecutive odd integers such that 36 more than the lesser is three times the greater

1 answer:

3 0

Two consecutive odd integers means there's a difference of 2 between the numbers. More than the lesser is adding to the lower integer (x). The greater is the larger integer (x+2). "Is" means equals. Times means multiply.

x= first integer
x+2= second integer

x + 36= 3(x + 2)
multiply 3 by everything in parentheses
x + 36= 3x + 6
subtract x from both sides
36= 2x + 6
subtract 6 from both sides
30= 2x
divide both sides by 2
15= x

x= 15 first consecutive odd integer

x+2= second consecutive odd integer
15+2= 17

ANSWER: 15, 17

Hope this helps! :)

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melisa1 [442]

Answer:

209 inches

Step-by-step explanation:

95% of 220 is 209 inches so therefor it would be 209 inches.

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3 years ago

Recycling one glass bottle can save enough energy to power an oven for 7.5 minutes. A glass bottle weighs 500 grams. Glass used

musickatia [10]

This is a units conversion problem: you have time and you want to convert that to money. Any units conversion problem involves multiplication by 1 in various forms. When you are given 7.5 min = 1 bottle = 500g, you know that (500 g)/(7.5 min) = 1 because the numerator and denominator are equal. (Of course, you are aware that 500 g = 0.500 kg.) The idea is to choose the forms of 1 that cause units you don't want to cancel, leaving only the units you do want.

$6\,h\times \dfrac{0.500\,kg}{7.5\,min}\times \dfrac{60\,min}{1\,h}\times \dfrac{5\,p}{1\,kg}\\\\=\dfrac{6\cdot 0.500\cdot 60\cdot 5\,p}{7.5\cdot 1\cdot 1}=120\,p$

The glass for recycling that would save enough energy to power an oven for 6 hours costs 120p.

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3 years ago

Breakout room#5 code?

slavikrds [6]

Answer:

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Step-by-step explanation:

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3 years ago

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of

Umnica [9.8K]

Answer:

a. X is a binomial random variable with n = 50 and p = 0.04

b. Y is a binomial random variable with n = 40 and p = 0.015

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

X: the number of US residents (out of 50) with blood type AB.

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States

This means that $p = 0.04, n = 50$

Y: the number of Australians (out of 40) with blood type AB.

In Australia, only 1.5% of the population has blood type AB.

This means that $p = 0.015, n = 40$

Z: the total number of individuals (out of 90) with blood type AB.

Here

$n = 90, p = 0.04*\frac{50}{90} + 0.015*\frac{40}{90} = 0.0289$

Which of the following is true about the random variables X, Y, and Z?

Options a and b are true, while c is false.

7 0

3 years ago

What is an appropriate measure to record your weight?

Reil [10]

That depends on where you live. The purpose of writing down your
weight is often to tell other people what your weight is, so you want to
record it in units that the other people around you understand.

If you live in rural Scotland or Ireland, then you'd want to record it
in terms of stones and pounds.

If you live in Liberia, Myanmar, or the USA, then you'd probably
weigh yourself and record the results in pounds.

Anywhere in the rest of the world, it would be recorded in terms of kilograms.

You must be especially careful in the USA. Here, you must not allow
any metric units to appear anywhere in your records, for if the eye of
an American should chance to fall on any written mention of a liter,
a meter, or a kilogram, the effect on his American physiognomy is
toxic. His blood evaporates, his eyes turn backwards in their sockets,
and his abdomen falls out onto the floor. Worst of all is the effect on
his brain. It is well established now that having been born in the USA,
or after living there for some period of time, a person is incapable of
comprehending the metric system of units, so the rest of us must
protect them from it.

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3 years ago