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3 years ago

Given that a>0 compare: a+20/40 and a+10/20

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

Answer:

They are the same.

Step-by-step explanation:

a+20/40=a+10/20

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Consider a collection of envelopes consisting of 2 red envelopes, 2 blue envelopes, 2 green envelopes, and 3 yellow envelopes

77julia77 [94]

The probability that all three randomly selected envelopes are yellow without replacement is 1/84.

<h3>What is a combination?</h3>

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

2 red envelopes

2 blue envelopes

2 green envelopes

3 yellow envelopes.

Total number of envelopes = 9

The probability that all three randomly selected envelopes are yellow without replacement.

= $\frac{^3C_1}{^9C_1} \frac{^2C_1}{^8C_1} \frac{^1C_1}{^7C_1}$

= (3/9) x (2/8) x (1/7)

= (3x2x1)/(9x8x7)

= 1/84

Thus,

The probability that all three randomly selected envelopes are yellow without replacement is 1/84.

Learn more about combination here:

brainly.com/question/14355408

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4 0

1 year ago

farmer bob is trying to figure out how much space he has for his garden. If the sides of the garden are 10 ft and 50 ft, what is

SIZIF [17.4K]

area = length times width

A = l* w

A = 10 * 50

A = 500 ft ^2

6 0

3 years ago

Read 2 more answers

Evaluate the definite integrals using properties of the definite integral and the fact that

anygoal [31]

I gather that the given functions satisfy the following definite integral relations:

$\displaystyle \int_{-1}^4 f(x) = -6$

$\displaystyle \int_4^5 f(x) = 10$

$\displaystyle \int_4^5 g(x) =5$

a) By linearity of the integral operator, we have

$\displaystyle \int_{-1}^4 10 f(x) \, dx = 10 \int_{-1}^4 f(x) \, dx = 10 \times (-6) = \boxed{-60}$

b) The integral over an interval is equal to the sum of integrals over a partition of that interval. In this case, the interval [-1, 5] can be written as the interval union [-1, 4] U [4, 5], so that

$\displaystyle \int_{-1}^5 f(x) \, dx = \int_{-1}^4 f(x) \, dx + \int_4^5 f(x) \, dx = -6 + 10 = \boxed{4}$

c) By linearity,

$\displaystyle \int_4^5 (f(x) - g(x)) \, dx = \int_4^5 f(x) \, dx - \int_4^5 g(x) \, dx = 10 - 5 = \boxed{5}$

d) By linearity,

$\displaystyle \int_4^5 (4f(x) + 5g(x)) \, dx = 4 \int_4^5 f(x) \, dx + 5 \int_4^5 g(x) \, dx = 4\times10 + 5\times5 = \boxed{65}$

7 0

2 years ago

Write <br> 0.33<br><br> as a fraction in simplest form.

GREYUIT [131]

Answer:

33/100

Step-by-step explanation:

6 0

3 years ago

Nina used 3 3/4 liters of water to completely fill 3 water bottles. If the water bottles are all the same size, how many liters

FrozenT [24]

I think the answer is 1 1/4

5 0

3 years ago