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2 years ago

Can you guys help me please!!

Mathematics

1 answer:

ella [17]2 years ago

7 0

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$\huge\bold\red{{Answer:}}$

1.C

2.C

3.D

4.D

5.D

6.A

7.C

8.B

9.A

10.C

11.A

12.B

13.D

14.C

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Suppose calls are arriving at a telephone exchange at an average rate of one per second, according to a Poisson arrival process.

antoniya [11.8K]

Answer:

Explanation has been given below

Step-by-step explanation:

a) inter arrival times are exponentially distributed with mean 1/n , where n = rate = 1/sec.

probability distribution function is F(t)=n*exp(-n*t).

reference to any kth packet and the (k-1)th packet

the answer is = integration of F(t).dt with limits 0 to 2 = 1 - exp(-2*n) = 1 - exp(-2)

b) t=5 , P(q) = exp(-5)*(5)^q/factorial(q)

probability of fourth call within t=5 seconds is =

that is P(4) P(5) ...... = 1 - ( P(0) P(1) P(2) P(3) ) ; put the values and get the answer.

c) number of calls/rate = 4/n = 4 seconds

5 0

2 years ago

Solve for x 3(ax + 9) = -4 (-2 - 10x)

ivolga24 [154]

Answer:

----- = x

40-3a

Step-by-step explanation:

3(ax + 9) = -4 (-2 - 10x)

Distribute

3ax +27 = 8+40x

Subtract 3ax from each side

3ax-3ax +27 = 8+40x-3ax

27 = = 8+40x-3ax

Subtract 8 from each side

27-8 = 8-8+40x-3ax

19 = 40x-3ax

Factor an x on the right side

19 = x(40-3a)

Divide each side by 40-3a

19/(40-3a) = x(40-3a)/(40-3a)

----- = x

40-3a

8 0

2 years ago

Noor wants to spend less than $20 on condiments. Each kilogram of salt costs $1.50, and each kilogram of

elena55 [62]

Answer:

1.50S + 2.50P > 20

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0

3 years ago

Kayra and Mycho sell flowers on weekends to earn extra money.For every 2 flowers that Kayra sells,Mycho sells 5. If Kayra sold 6

andreyandreev [35.5K]

Answer:

We know that:

For every two flowers that Kayra sells, Mycho sells 5.

Now, in the question we have:

"If Kayra sold 6 newspapers, how many did Mycho sell?"

There is no information about newspapers, so we can't answer anything.

If we had something like:

"If Kayra sold 6 flowers, how many did Mycho sell?"

Well, in this case, we remember that for every 2 flowers that Kayra sells, Mycho sells 5, then the first thing we need to do is count how many groups of 2 flowers we have in 6 flowers, this is:

6/2 = 3 groups.

And for each one of these, Mycho will sell 5 flowers, then the total number of flowers that Mycho sold is:

3*5 = 15 flowers.

5 0

2 years ago