What are the slope and y-intercept of the linear function graphed to the left?

When testing for current in a cable with eight color-coded wires, the author used a meter to test five wires at a time. How man

balu736 [363]

Answer:

56 different tests

Step-by-step explanation:

Given:

Number of wires available (n) = 8

Number of wires taken at a time for testing (r) = 5

In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.

So, finding the combination of 5 pairs of wires from a total of 8 wires is given as:

$^nC_r=\frac{n!}{r!(n-r)!}$

Plug in the given values and solve. This gives,

$^8C_5=\frac{8!}{5!(8-5)!}\\\\^8C_5=\frac{8\times 7\times 6\times 5!}{5!\times 3\times2\times1}\\\\^8C_5=56$

Therefore, 56 different tests are required for every possible pairing of five wires.

6 0

3 years ago

$1,000 is invested at a rate of 3.25%, compounded annually. Identify the compound interest function that models the situation. T

Ulleksa [173]

The compounded interest function that models the situation is: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount of money after $t$ years.
$P$ is the initial investment.
$r$ is the interest rate in decimal form.
$n$ is the number of times the interest is compounded per year.
$t$ is the time in years.

We know for our problem that $P=1000$ and $t=8$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%:
$r= \frac{3.25}{100}$
$r=0.0325$
We also know that the interest is compounded anally, so it is compounded 1 time per year; therefore, $n=1$ .
Lets replace the values in our formula to find the final amount after 8 years:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=1000(1+ \frac{0.0325}{1} )^{(1)(8)}$
$A=1000(1+ 0.0325 )^{8}$
$A=1291.58$

We can conclude that since we are dealing with compound interest we must use the function $A=P(1+ \frac{r}{n} )^{nt}$ . Also, after 8 years the balance in the account will be $1291.58

3 0

3 years ago

Can somebody please help me?

Karolina [17]

With what????????

I could probably help depends on what it is

7 0

3 years ago

Read 2 more answers

A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is t

maw [93]

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are $3$

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

$\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}$

If the order matter, then

$\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6$

5 0

3 years ago

Were the Egyptian rulers' tombs built before or after they died?

Dafna1 [17]

Answer: I don't know the exact details but Egypt is home to some of the world's most famous tombs, among them the monumental pyramids. Egyptians built rectangular benches over graves during the fourth dynasty, which was known as the Masabas period. During this time period, pyramids were constructed by stacking square or rectangular tombs on top of one another.

Step-by-step explanation:

7 0

4 years ago