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2 years ago

The lengths of the legs of a right triangle are 8 cm and 15 cm.

Mathematics

2 answers:

Serggg [28]2 years ago

7 0

By Pythagorean Theorem, a^2 + b^2 = c^2

so 8^2 +15^2 = c^2

64+225 = 289

sqr rt of 289 is 17

Delvig [45]2 years ago

5 0

Hello, Hopefully this is the answer you are looking for.

Well I got D. 17 cm

If you need the steps I will give them to you :)

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The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0

2 years ago

You coach a basketball ball team of 12 players; 5 players must be on the floor at all times; Figuring that every player can play

makvit [3.9K]

The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial

a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.

b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.

4 0

2 years ago

Please answer this question only if you know the answer! 30 points and brainliest!

Allisa [31]

Answer:

(4, 3)

Step-by-step explanation:

If this point is reflected about the x-axis, the x-coordinate does not change. The original y-coordiate, -3, becomes +3.

A': (4, 3)

5 0

2 years ago

Classify the following as either a discrete random variable or a continuous random variable.

taurus [48]

Answer: continuous random variable.

Step-by-step explanation:

A discrete random variable is defined as a random variable which consists of countable number. Examples include numbers of shoes, number of sales etc.

A continuous random variable is a random variable whereby the data can take several values. It is a random variable that takes time into consideration.

Therefore, the amount of time six randomly selected volleyball players play during a game will be a continuous random variable since time so involved.

4 0

2 years ago

Which function is increasing?? :)

exis [7]

Answer:

$\large\boxed{B.\ f(x)=4^x}$

Step-by-step explanation:

Exponential function $f(x)=(a)^x$ is

increasing if $a > 1\to a\in(1,\ \infty)$

decreasing if $0 < a < 1\to a\in(0,\ 1)$

$A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}$

7 0

2 years ago