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DedPeter [7]
3 years ago
15

Mr. Oliver orders his groceries online and has them delivered to his house. His bill is $175. He has a coupon for 10% off and pl

ans to give the delivery driver a 20% tip. What is the total price, tea, of Mr. Oliver‘s order, including the discount and the tip?
Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

The total price including the discount and tip is $ 189

<em><u>Solution:</u></em>

Given that, Mr. Oliver orders his groceries online and has them delivered to his house

From given,

Bill amount = $ 175

Discount = 10 % off

Tip = 20 %

To find: total price including the discount and the tip

<em><u>Let us first find the discount rate</u></em>

Discount rate is 10 % off which means 10 % of bill amount $ 175

Discount\ Rate = 10 \% \times 175\\\\Discount\ Rate = \frac{10}{100} \times 175\\\\Discount\ Rate = 17.5

Thus discount price is $ 17.5

Bill amount after discount = Original amount - discount price

Bill amount after discount = 175 - 17.5

Bill amount after discount = $ 157.5

He plans to give the delivery driver a 20% tip

So, he gives 20 % of 157.5 as tip

Tip amount = 20 % of 157.5

Tip\ Amount = 20 \% \times 157.5\\\\Tip\ Amount = \frac{20}{100} \times 157.5\\\\Tip\ Amount = 31.5

<em><u>Thus total amount paid is:</u></em>

Total amount = Bill amount after discount + Tip amount

Total amount = $ 157.5 + $ 31.5

Total amount = $ 189

Thus total price including the discount and tip is $ 189

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podryga [215]

Step-by-step explanation: im not really sure what it is but if you are working from this probplem do pemdas-

perthises,expoment,mulicaion,divishoin,addishoin, subbtraion

hope this helped! sorry if i spelt these wrong....

8 0
3 years ago
Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett
valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is \frac{211}{243}, hence the probability of making none, P(X = 0), is \frac{232}{243}, hence:

(1 - p)^5 = \frac{232}{243}

\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

P(X \geq 2) = 1 - P(X < 2)

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461

P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
2 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
Can u plz help me on this plz.
k0ka [10]

Answer:

yah just give me the question???

7 0
2 years ago
Out of 50 basketball players trying to make a team, 5 will be chosen. 36 of the 50 are seniors and the remaining players are jun
AveGali [126]

Answer:   5503680

Step-by-step explanation:

The coach wants  2 senior out of 36 so he have

C₃₆,₂   =  36!/( 36 - 2 )!     = 36*35*34!/34!    =  36 * 35   = 1260

possibilities

Now he also wants 3 juniors out of 14

C₁₄,₃  =   14!/ (14- 3)!      =  14*13*12*11!/11!     =  14*13*12  = 2184

Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore

Coach has

2184 * 1260 = 2751840    possibilities to choose from

Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total  ways the team could be

2751840*2  = 5503680

6 0
3 years ago
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