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Over [174]
3 years ago
13

If one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p​

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

p = 8

Step-by-step explanation:

Let one root of the eqn. be alpha . Other root is 1/alpha .

We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant  & "a" is the co-efficient of x^2.

Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8

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The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the
erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes  is 0.4786.

Step-by-step explanation:

The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, <em>β</em> = 19 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter \lambda=\frac{1}{\beta}=\frac{1}{19}.

The probability distribution function of <em>X</em> is:

f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...

Compute the value of the event (<em>X</em> > 14) as follows:

P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786

Thus, the probability that the wait time is greater than 14 minutes  is 0.4786.

7 0
3 years ago
A square family room has an area of 100 square meters. How long is each side?​
FromTheMoon [43]

Answer:

<em>Each side is 10 meters</em>

Step-by-step explanation:

Because since area is length times width, you would do 10x10 which is 100

4 0
3 years ago
Read 2 more answers
The cost of the hiking trip this year is 2/3 of the cost of last year's trip. This year's trip cost $32. Write an equation that
allsm [11]

Answer: (32/2)*3=48

Step-by-step explanation:

In order to find the answer, we must find one third of last year's trip. To do this, we can simply divide the cost of this years trip by two, 32/2=16.

Now if we multiply this this number by 3, 16*3=48, we can see that the total cost of last year's trip was $48.

If we'd like to turn this into one equation, it looks like this: (32/2)*3=48

5 0
2 years ago
Read 2 more answers
Kenny is on the local swim team for the summer and has swim practice
AnnyKZ [126]

Answer:

She swims for 3 hours each morning.

Step-by-step explanation:

To determine the number of hours that Kenny swims in the morning, it is necessary to perform the following equation, taking into account that he swims 5 days a week for a total of 30 hours a week, and that in the afternoon he swims for 3 hours:

X + 3 x 5 = 30

X + 3 = 30/5

X = 6 - 3

X = 3

Therefore, Kenny swims for 3 hours in the morning.

3 0
3 years ago
1. What is the money taken from your paycheck that is paid to the state and federal government?
mariarad [96]
Taxes is the correct answer hope this helps :)
3 0
3 years ago
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