1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet-ann [11.9K]
3 years ago
10

A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an addit

ional 40% off. Is this equal to a discount? Explain your answer.
The total percent of reduction is _____% , so this __ * is or is not * __equal to a discount.
Mathematics
1 answer:
sweet [91]3 years ago
7 0

Step-by-step explanation:

Step one:

We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.

Moreso, <em>a coupon is a voucher entitling the holder to a discount off a particular product</em>. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.

Step two:

<em>Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is</em>

=40/100*100

=0.4*100

=$40 off

= 100-40

=$60

<u>The total percent of reduction 10+40= 50%</u>

<u>This is equal to a discount on the sales price</u>

You might be interested in
What is a reasonable estimate for the problem ? -3/2 multiply by ( -5 1/4 )
Nat2105 [25]
= -3/2 * -5 1/4
convert 5 1/4 to improper fraction

= -3/2 * -21/4
multiply numerators; multiply denominators

= (-3*-21)/(2*4)
multiply in parentheses

= 63/8
convert back to mixed number

= 7 7/8


ANSWER: Since the exact answer is the mixed number 7 7/8, a reasonable estimate is 8.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
Suppose that W1, W2, and W3 are independent uniform random variables with the following distributions: Wi ~ Uni(0,10*i). What is
nadya68 [22]

I'll leave the computation via R to you. The W_i are distributed uniformly on the intervals [0,10i], so that

f_{W_i}(w)=\begin{cases}\dfrac1{10i}&\text{for }0\le w\le10i\\\\0&\text{otherwise}\end{cases}

each with mean/expectation

E[W_i]=\displaystyle\int_{-\infty}^\infty wf_{W_i}(w)\,\mathrm dw=\int_0^{10i}\frac w{10i}\,\mathrm dw=5i

and variance

\mathrm{Var}[W_i]=E[(W_i-E[W_i])^2]=E[{W_i}^2]-E[W_i]^2

We have

E[{W_i}^2]=\displaystyle\int_{-\infty}^\infty w^2f_{W_i}(w)\,\mathrm dw=\int_0^{10i}\frac{w^2}{10i}\,\mathrm dw=\frac{100i^2}3

so that

\mathrm{Var}[W_i]=\dfrac{25i^2}3

Now,

E[W_1+W_2+W_3]=E[W_1]+E[W_2]+E[W_3]=5+10+15=30

and

\mathrm{Var}[W_1+W_2+W_3]=E\left[\big((W_1+W_2+W_3)-E[W_1+W_2+W_3]\big)^2\right]

\mathrm{Var}[W_1+W_2+W_3]=E[(W_1+W_2+W_3)^2]-E[W_1+W_2+W_3]^2

We have

(W_1+W_2+W_3)^2={W_1}^2+{W_2}^2+{W_3}^2+2(W_1W_2+W_1W_3+W_2W_3)

E[(W_1+W_2+W_3)^2]

=E[{W_1}^2]+E[{W_2}^2]+E[{W_3}^2]+2(E[W_1]E[W_2]+E[W_1]E[W_3]+E[W_2]E[W_3])

because W_i and W_j are independent when i\neq j, and so

E[(W_1+W_2+W_3)^2]=\dfrac{100}3+\dfrac{400}3+300+2(50+75+150)=\dfrac{3050}3

giving a variance of

\mathrm{Var}[W_1+W_2+W_3]=\dfrac{3050}3-30^2=\dfrac{350}3

and so the standard deviation is \sqrt{\dfrac{350}3}\approx\boxed{116.67}

# # #

A faster way, assuming you know the variance of a linear combination of independent random variables, is to compute

\mathrm{Var}[W_1+W_2+W_3]

=\mathrm{Var}[W_1]+\mathrm{Var}[W_2]+\mathrm{Var}[W_3]+2(\mathrm{Cov}[W_1,W_2]+\mathrm{Cov}[W_1,W_3]+\mathrm{Cov}[W_2,W_3])

and since the W_i are independent, each covariance is 0. Then

\mathrm{Var}[W_1+W_2+W_3]=\mathrm{Var}[W_1]+\mathrm{Var}[W_2]+\mathrm{Var}[W_3]

\mathrm{Var}[W_1+W_2+W_3]=\dfrac{25}3+\dfrac{100}3+75=\dfrac{350}3

and take the square root to get the standard deviation.

8 0
3 years ago
These figures are similar. What is the length of the missing side, x?
pshichka [43]

Answer:

5 ft

Step-by-step explanation:

the smaller one is 1/3 of the size of the bigger one

3 0
3 years ago
2. A bowling alley charges $3.00 to rent shoes and $1.50 per game bowled.
Zina [86]
3+1.50n would be an expression for this
6 0
3 years ago
Select all the correct answers. 6^3×2^6 Which expressions are equal to 2^3 ? 2^6×3^3; 6^3; 12^3; 2^3×3^3; 12^6
beks73 [17]

Answer:

12^3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Jan is using toothpicks to create patterns as shown below.
    5·1 answer
  • How many numbers from 1 through 200 have a 2 in the units place and are divisible by 4?
    6·2 answers
  • Equation of the blue graph? Thank you!
    15·2 answers
  • 6/5 ÷ ____ = 6<br><br> A. 1/5<br> B. 30 <br> C. 1/30<br> D. 5
    9·1 answer
  • How to simplify (n+2)!/n! I will mark brainliest and give a thanks!
    13·1 answer
  • If 7x+2a = 3x+5a, then x is equivalent to
    12·1 answer
  • Freeeeeee pointssssssss im bored so here ya go
    9·2 answers
  • Last year, a small manufacturing company netted a profit of $540,000. The net profit increased this year by 135%. What is the ne
    11·2 answers
  • 3. Which of the following is an exponential function?
    15·1 answer
  • A. 6x 10y=9<br> B. 6x=9<br> C. -10y = 15<br> D. 2x= 15
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!