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4 years ago

What is the energy, in joules, of a light wave whose frequency is 5.66× 10^8 Hz ?

Mathematics

1 answer:

Margarita [4]4 years ago

4 0

Energy = Planck's constant * frequency

= 6.626 * 10^-34 * 5.66 * 10^8

= 3.7503 * 10^-25 Joules

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A school has 1,200 students. If 65% are girls, how many girls attend the school?

sergij07 [2.7K]

1200 x .65 = 780 girls

7 0

3 years ago

Solve each system by elimination. 1) 10x + 7y=9 -4x - 7y=9

stellarik [79]

Answer:

(3, -3)

Step-by-step explanation:

When asked to solve by elimination, you put them on top of one another, like you're going to add it.

10x + 7y = 9

-4x - 7y = 9

See that 7y? You can cancel those out because one is negative, and one is positive. So those are gone. You finish adding the rest of the numbers as usual and solve for x.

6x = 18

x = 3

Take x, and plug it into either equation to find y.

10(3) + 7y = 9

7y = -21

y = -3

(3, -3)

Hope this helped!

8 0

3 years ago

A 100-inch board is cut into two pieces one peice is three times the length of the other find the length of the shorter peice

Masteriza [31]

Answer:

5 ?

Step-by-step explanation:

8 0

3 years ago

The functions f and g are defined as follows.

g100num [7]

Answer:

$f(-5)=-16\\g(2)=-11$

Step-by-step explanation:

By definition, a relation is a function if and only if each input value have one and only one output value.

The input values are the x-values and the output values are the y-values.

Given the function f(x):

$f(x)=3x-1$

You need to substitute $x=-5$ into this function:

$f(-5)=3(-5)-1$

And now you must evaluate in order to find the corresponding output value.

You get:

$f(-5)=-15-1\\\\f(-5)=-16$

The function g(x) is:

$g(x)=-2x^2-3$

Then, you need to substitute $x=2$ in the function:

$g(2)=-2(2)^2-3$

And finally you must evaluate in order to find the corresponding output value. This is:

$g(2)=-2(4)-3\\\\g(2)=-8-3\\\\g(2)=-11$

8 0

3 years ago

General Hospital has noted that they admit an average of 9 patients per hour.

serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

The complete question is: General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

$P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......$

Here X = Number of patients admitted in the hospital

$\lambda$ = arrival rate of patients per hour = 9 patients

So, X ~ Poisson( $\lambda$ = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}$

= $e^{-9} +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}$

= 0.00623

(b) Here, $\lambda = 9 \times 2$ = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson( $\lambda$ = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

P(X = 8) = $\frac{e^{-18} \times 18^{8} }{8!}$

= 0.00416

3 0

3 years ago