Write two expressions that have a GCF of 8xy

During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minut

Marizza181 [45]

Answer:

The expected number of calls in one hour is 30.

The probability of three calls in five minutes is $P(3) \approx0.2138$

The probability of no calls in a five-minutes is $P(0) \approx 0.0821$

Step-by-step explanation:

We know that the calls come in at the rate of one every two minutes. To find the expected number of calls in one hour you need to:

$\frac{1 \:call}{2 \:minutes} \cdot 60 \:minutes=30 \:calls$

To find the probability of these events:

three calls in five minutes
no calls in a five-minutes

We are going to use the Poisson distribution because is used when it is desirable to determine the probability of obtaining x occurrences over an interval of time like in this situation.

The Poisson probability function is defined by

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

where

x = 0, 1, 2, 3 ...

e = 2.71828

μ = mean number of successes in the given time interval or region of space

To find the probability of three calls in five minutes you need to:

Find μ

$\mu=\frac{1 \:call}{2 \:minutes} \cdot 5 \:minutes=2.5 \:calls$

Evaluate the formula for k = 3 and μ = 2.5

$P(3)=\frac{e^{-2.5}2.5^3}{3!}\\P(3) \approx0.2138$

To find the probability of no calls in a five-minute period you need to:

Evaluate the formula for k = 0 and μ = 2.5

$P(0)=\frac{e^{-2.5}2.5^0}{0!}\\P(0) \approx 0.0821$

3 0

3 years ago

If g(x) = x^2 + 6x with x ≥ -3, find g ^-1(0).

Dvinal [7]

Answer: 0

Step-by-step explanation:

g(x) = x² + 6x ; x ≥ -3

To find the inverse, swap the x's and y's and solve for "y":

x = y² + 6y

x + 9 = y² + 6y + 9 add 9 to both sides to create a perfect square

x + 9 = (y + 3)²

$+/-\sqrt{x+9}$ = y + 3 take square root of both sides

$-3 +/-\sqrt{x+9}$ = y ; y ≥ -3

g⁻¹(0) = $-3 +/-\sqrt{0+9}$

= $-3 +/-\sqrt{9}$

= -3 ± 3

= -3 + 3 , -3 - 3

= 0 , -6

since the restriction is: y ≥ -3, then -6 is not valid

4 0

3 years ago

WILL GIVE BRAINLIEST FOR CORRECT ANSWER +80 points

Salsk061 [2.6K]

Answer:

2,375 joules I think............

6 0

4 years ago

Read 2 more answers

Hazel runs for 3/4 hour and stretches For 1/5 hour. Complete the expression to model the time hazel exercises. Write equivalent

TiliK225 [7]

Answer:

3/4*46,777777(de) drop the 4 and you get 1/5

Step-by-step explanation:

7 0

3 years ago

Twelve ounces of Brand X costs $1.14. Sixteen ounces of Brand Y costs $1.28. Brand X costs how much more per ounce than Brand Y.

bearhunter [10]

"Per" means "divided by", so "cost per ounce" means "cost"/"ounces".

The difference in cost per ounce is
.. (1.14/12) -(1.28/16) = .095 -.08 = 0.015

Brand X costs 1.5¢ more per ounce than Brand Y.

4 0

3 years ago