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2 years ago

If g = 77 cm and h = 85 cm, what is the length of f?

1 answer:

7 0

Using the the Pythagorean theorem, the answer is C. 115 cm

Here's how you solve it:
(77^2)+(85^2) = f^2
5929+7225 = f^2
13154 = f^2
f = √13154
f = 114.69
f ≈ 115

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A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, we stop. If no

Airida [17]

Answer:

Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). 

Step-by-step explanation:

Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply

p=(4 2)*(4 2)/(8 4)

This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence

P(X = n) = (1— p)^n-1 *( p )

Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).

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2 years ago

A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has

andreev551 [17]

Answer:

$0.01m +\frac{1}{2} \geq 2.2$

Step-by-step explanation:

Let m be number of minutes it will take to download the whole game.

We are told that computer is downloading at a rate of 0.01 GB per minute and half GB game is already downloaded. So 0.01*m+0.5 will be equal to 2.2 as game size is 2.2 GB.

Let us find the least number of minutes it will take to download the whole game.

$0.01m +\frac{1}{2} \geq 2.2$

$0.01m +0.5\geq 2.2$

$0.01m \geq 2.2-0.5$

$0.01m \geq 1.7$

$m\geq \frac{1.5}{0.01}$

Therefore, $0.01m +\frac{1}{2} \geq 2.2$ is our desired inequality.

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2 years ago

Sommer bought a baseball card for x dollars. Later, she sold it for 1.4x dollars. Which is another way to describe the change in

svp [43]

Answer is D. 40% increase.

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2 years ago

The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain

Amiraneli [1.4K]

Answer:

The domain is (-∞ , ∞)

The domain is continuous

Step-by-step explanation:

Here, we want to identify the domain of the linear function

The domain in this case can be represented by the set of all real numbers.

When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books

Thus, the domain here will be (-∞ , ∞)

On if the domain is discrete or continuous, we can see that the domain is continuous.

The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous

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1 year ago

If LO = 15x+19 and QN = 10x+2 find PN

svet-max [94.6K]

Answer:

$PN=64\ units$