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Brut [27]
3 years ago
10

Is this a true statement?   (-k) - 10k = -11k

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0
Yes because if you solve it it will become -11k
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It costs felisa $0.20 to send a text message from her cell phone. She has already spent 5 in text messages this month if she has
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60 messages.

Step-by-step explanation:

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Suppose a computer technical support representative can answer calls from 8 customers in an hour. What is the probability that a
Ganezh [65]

Answer:

Option d

Step-by-step explanation:

We need 2 fundamental data to solve this problem.

1.- Average number of clients attended in 1 hour.

2.- Time in which it is expected that a client will be attended.

They tell us that the average number of clients served in an hour is m = 8

They tell us to calculate the probability that the client will be seen in less than 15 minutes.

But the time t in the formula is given in hours.

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We know that 1\ hour = 60 minutes.

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15\ minutes[\frac{1\ hour}{60\ minutes}] = 0.25\ hours.

Now we substitute in the formula m = 8 and t = 0.25 to find P.

P = 1 -e^{-mt}\\\\P = 1- e^{-(8)(0.25)}\\\\P = 1 - e^{-2}\\\\P = 0.8646\\\\P= 86\%

4 0
3 years ago
Read 2 more answers
Let X1, X2 and X3 be three independent random variables that are uniformly distributed between 50 and 100.
sergejj [24]

Answer:

a) the probability that the minimum of the three is between 75 and 90 is 0.00072

b) the probability that the second smallest of the three is between 75 and 90 is 0.396

Step-by-step explanation:

Given that;

fx(x) = { 1/5 ; 50 < x < 100

              0, otherwise}

Fx(x) = { x-50 / 50 ; 50 < x < 100

                          1 ;   x > 100

a)

n = 3

F(1) (x) = nf(x) ( 1-F(x)^n-1

= 3 × 1/50 ( 1 - ((x-50)/50)²

= 3/50 (( 100 - x)/50)²

=3/50³ ( 100 - x)²

Therefore P ( 75 < (x) < 90) =  ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx

= 3/50³ [ -2 (100 - x ]₇₅⁹⁰

= (3 ( -20 + 50)) / 50₃

= 9 / 12500 = 0.00072

b)

f(k) (x) = nf(x)  ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k

Now for n = 3, k = 2

f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))

= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)

= 6/50³ ( 150x - x² - 5000 )

therefore

P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx

= 99 / 250 = 0.396

3 0
3 years ago
In the diagram the quadrilateral
Y_Kistochka [10]

Answer:

x = 2 ; y = 3

Step-by-step explanation:

3x = 6

x = 2

4y = 12

y = 3

4 0
3 years ago
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