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algol13
3 years ago
7

With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7 locations among the 9 locations rema

ining. How many different routes are​ possible?
Mathematics
1 answer:
kotegsom [21]3 years ago
5 0
<h2>Answer:</h2>

The different possible routes are​ :

                           181440

<h2>Step-by-step explanation:</h2>

We are asked to find the number of different routes that are possible to choose  7 locations among the 9 locations remaining.

This means that we have to chose the locations and also we have to arrange them in different orders according to the different order of locations.

The method we have to use is a method of permutation.

When we have to chose and arrange r items out of a total of n items then the formula is given by:

n_P_r=\dfrac{n!}{(n-r)!}

Here we have: n=9

and r=7

Hence, the different possible routes are:

9_P_7=\dfrac{9!}{(9-7)!}\\\\\\9_P_7=\dfrac{9!}{2!}\\\\\\9_P_7=181440

       Hence, the answer is:

                  181440

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If you used 0.5 ml of sample and 2.5 ml of diluent what is your dilution ratio?
Vikki [24]

Answer:

1/6

Step-by-step explanation:

I think it is:

0.5/(0.5+2.5) = 0.5/3 = 1/6

6 0
3 years ago
If you have 3/12 of an orange, how many fourths do you have?​
Mrac [35]

Answer:

Answer: one fourth

Fourth is a word that used to describe a number value of 1/4. To answer this question, you need to change the number you got (3/12) into x/4 form. To convert 12 into 4, then you need to divide the numerator and denominator with 3. The equation would be (3/3)/(12/3)= 1/4. 

To determine how much fourth the number has, you need to divide the result with 1/4. The calculation would be: (1/4)/ (1/4)= one fourth

hope its help

thank you

good day

8 0
3 years ago
Find the discriminant for each quadratic function below. Then list the number of zeros/solutions for each quadratic function.
Hunter-Best [27]

Answer:

Step-by-step explanation:

The discriminant is found in

b^2-4ac which is part of the quadratic formula. In

4x^2+10x-16=0, a = 4, b = 10, c = -16. Filling in for the discriminant:

10^2-4(4)(-16)=100+256=356

It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.

In -16x^2-7x+3=0, a = -16, b = -7, c = 3. Filling in for the discriminant:

(-7)^2-4(-16)(3)=49+192=241

It's positive and not a perfect square so the 2 solutions are complex rational

5 0
3 years ago
How do I work this out
vazorg [7]
Check the picture below.

make sure your calculator is in Degree mode.

7 0
3 years ago
A company that has 350000 shares declares an annual gross profit of $2450665, pays 18.5% of this in tax, and reinvests 25% of th
podryga [215]

Gross profit, G = $2450665

Tax, t=18.5%

reinvestment, r = 25%


Total dividends

= G(1-t)(1-r)

=2450665*(1-0.185)(1-0.25)

=1497968.98


Dividend per share

=1497968.98/350000

=4.280


Earnings per share

EPS = Net profit / number of shares

= 2450665(1-0.185)/350000

=5.7065


Current price = 43.36


P/E ratio

= Current price/EPS

= 43.36/5.7065

= 7.598

=7.6 to one decimal place.



8 0
3 years ago
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