The graph of the function f(x)=(x+2)(x+6) is shown
The statement the function is negative for all real values of x where x <-2
Answer:
0.84 square in
Step-by-step explanation:
Since the capacity of the cable is proportional to its cross-sectional area. If a cable that is 0.3 sq in can hold 2500 lb then per square inch it can hold
2500 / 0.3 = 8333.33 lb/in
To old 7000 lb it the cross-sectional area would need to be
7000 / 8333.33 = 0.84 square in
Answer:

Step-by-step explanation:
For the random variable
we define the possible values for this variable on this case
. We know that we have 2 defective transistors so then we have 5C2 (where C means combinatory) ways to select or permute the transistors in order to detect the first defective:

We want the first detective transistor on the ath place, so then the first a-1 places are non defective transistors, so then we can define the probability for the random variable
like this:

For the distribution of
we need to take in count that we are finding a conditional distribution.
given
, for this case we see that
, so then exist
ways to reorder the remaining transistors. And if we want b additional steps to obtain a second defective transistor we have the following probability defined:

And if we want to find the joint probability we just need to do this:

And if we multiply the probabilities founded we got:

Answer: the system of equations are
x + y = 22
x + 1.5y = 30
Step-by-step explanation:
Let x represent the number of math problems that Olivia solved.
Let y represent the number of pages that Olivia read.
Olivia completed a total of 22 math problems and pages of reading. This means that
x + y = 22- - - - - - - - - - - - - - -1
Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that
x + 1.5y = 30 - -- - - - - - - - - -2
The answer is b because no x-value can repeat.