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Rzqust [24]
3 years ago
6

14. How many ways can 4 students sit in a row of 19 chairs for a photograph?

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

they can each sit on floor by lining equally some can move back for example the shortest ones can sit medium tall can stand and the largest people can stand in the very back

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Is y=3x^2-x-1 a function
NARA [144]

Answer: Yes it is a function.

This is because any x input leads to exactly one y output.

The graph passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the parabolic curve.

7 0
3 years ago
The number of people arriving for treatment at an emergency room can be modeled by a Poisson Distribution with a rate parameter
AlekseyPX

Answer:

a) 0.052 = 5.2% probability that exactly three arrivals occur during a particular hour

b) 0.971 = 97.1% probability that at least three people arrive during a particular hour

c) 5.25 people are expected to arrive during a 45-min period

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 a rate parameter of seven per hour.

This means that \mu = 7

(a) What is the probability that exactly three arrivals occur during a particular hour?

This is P(X = 3).

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

P(X = 3) = \frac{e^{-7}*7^{3}}{(3)!} = 0.052

0.052 = 5.2% probability that exactly three arrivals occur during a particular hour.

(b) What is the probability that at least three people arrive during a particular hour? (Round your answer to three decimal places.)

Either less than three people arrive, or at least three does. The sum of the probabilities of these events is 1. So

P(X < 3) + P(X \geq 3) = 1

We want P(X \geq 3), which is

P(X \geq 3) = 1 - P(X < 3)

In which

P(X \geq 3) = P(X = 0) + P(X = 1) + P(X = 2)

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

P(X = 0) = \frac{e^{-7}*7^{0}}{(0)!} = 0.001

P(X = 1) = \frac{e^{-7}*7^{1}}{(1)!} = 0.006

P(X = 2) = \frac{e^{-7}*7^{2}}{(2)!} = 0.022

So

P(X \geq 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.001 + 0.006 + 0.022 + 0.029

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.029 = 0.971

0.971 = 97.1% probability that at least three people arrive during a particular hour

(c) How many people do you expect to arrive during a 45-min period?

During an hour(60 minutes), 7 people are expected to arrive. So, using proportions:

\frac{45*7}{60} = \frac{3*7}{4} = \frac{21}{4} = 5.25

5.25 people are expected to arrive during a 45-min period

5 0
3 years ago
Find the unknown side length for the parallelogram.
snow_tiger [21]
I hope this helps you




Area=base.height



98=base.9


base=98/9


base=10,8
3 0
3 years ago
Need help ASAP
joja [24]

Part (1) : The solution is 729

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is 3^{2} \cdot3^{4}

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$, we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

3^{2} \cdot3^{4}=3^6=729

Thus, the simplified value of the expression is 729

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

\frac{1}{2^4x^8}

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$, we have,

\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}

Adding the powers, we get,

\frac{2x^{2}y^{-1}z^{-7}}{3}

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0
3 years ago
What is 2.333333 in fraction form
iragen [17]
x=2.(3)\ \ \ /\cdot10\\\\10x=23.(3)\\\\10x-x=23.(3)-2.(3)\\\\9x=21\ \ \ /:9\\\\x=\frac{21}{9}\\\\x=\frac{7}{3}\\\\x=2\frac{1}{3}
5 0
3 years ago
Read 2 more answers
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