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laiz [17]
3 years ago
12

The manager at Brandon's Furniture Store is trying to figure out how much to charge for a sofa that just arrived. If the sofa wa

s bought at a wholesale price of $97.00, and Brandon's Furniture Store marks up all furniture by40%, at what price should the manager sell the sofa?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
So, we know that the manager bought the sofa for $97.00 The manager's markup price is .40 or 40%. A markup price is the selling price that someone adds on the price that he/she bought it from.

The manager got the sofa at $97.00 and put 40% of $97.00 onto the $97.00 So, when the manager sells the sofa it will cost more than $97.00

To find the new markup price, we multiply $97.00 by 1.40 or 1.4 The reason is because 97 times 100% or 1.00 is 97. That's the original price, right? How do we add 40% of 97 to itself? We add that .4 to the original price. So, 1.00 + .40 = 1.40 or a 140%. When we do $97.00*1.4, we get $135.80 Hope this helped!
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The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f
Verizon [17]

Answer:

CI(95%): [205,5;400.8]dolars

Step-by-step explanation:

Hello!

So you need to construct a confidence interval for the average family dental expenses (μ) using the sample given in the problem. To estimate it you need to first choose a statistic. For this small sample, considering that the variable has a normal distribution (I made a quick Shapiro Wilks test, with p-value 0.3234, you can assume normality) the best statistic to use is the Student's t-test.

t= [x(bar)-μ]/S/√n ≈ t₍ₙ₋₁₎

The formula for the confidence interval to estimate the mean is

x(bar)±t_{n-1; 1-\alpha/2}* (S/√n)

<u>The critical value is from a t-distribution with 11 degrees of freedom </u>

±t_{n-1; 1-\alpha/2} = t_{11; 0.975} = 2.201

<em> >remember since it's two-tailed, to get the right critical value you have to divide α by 2. So in the text, you received a confidence level of 1-α=0.95 so α=0.05 then α/2=0.025 and 1-α/2=0.975</em>

To construct the interval, you need to first calculate the sample mean and the standard derivation.

<u>Sample</u>

115; 370; 250; 593; 540; 225; 117; 425; 318; 182; 275; 228

n= 12

∑xi = 3638 ∑xi² = 1362670

<u>Sample mean</u>

x(bar): (∑xi)/n = 3638/12 = 303.17 dolars

<u>Standard derivation</u>

S²= 1/n-1*[∑xi²- (∑xi)²/n] = 1/11 * [1362670-((3638)²/12)] = 23614.47 dolars²

S= 153.67 dolars

<u>Confidence interval (95%)</u>

303.17± 2.201* (153.67/√12)

[205,5;400.8]dolars

I hope you have a SUPER day!

3 0
4 years ago
a triangle has the following side lengths: x-2,x, and 3x+1. another triangle has the following side lengths: 2x-5, x+4, 6x-7. of
choli [55]
Perimeter is the addition of all the sides
x-2+x+3x+1=2x-5+x+4+6x-7; since their perimeters are equal
5x-1=9x-8
collect the like terms
-1+8=9x-5x
7=4x
x=7/4
x=1.75
7 0
3 years ago
Evaluate the expression -2b+x when b=3 and x=-4
earnstyle [38]

Answer:

-10 is the answer

Step-by-step explanation:

first things that you will replace each number in:

-2x3+(-4)=-10

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Answer:

B

Step-by-step explanation:

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Answer:

A. in quadrant l

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Edge 2020

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