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I am Lyosha [343]
3 years ago
5

Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?

Answer:

$96.15

Step-by-step explanation:

Let x be the wholesale cost of the bike.

Given:

Price tag of a bike = $125.

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

So we can find the wholesale cost of the bike by the following way.

\frac{100+30}{100}\times x = 125

\frac{130}{100}\times x = 125

x=\frac{125\times 100}{130}

x=\frac{12500}{130}

x=\frac{1250}{13}

x=96.15

Therefore, the wholesale cost of the bike is $96.15.

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3 years ago
Assume that 8​% of people are​ left-handed. We select 6 people at random. ​a) How many lefties do you​ expect? ​b) With what sta
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Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

The number of trials expected to find r sucesses is given by

N = \frac{r}{p}

In this problem we have that:

Assume that 8​% of people are​ left-handed. We select 6 people at random. ​

This means that p = 0.08, n = 6

a) How many lefties do you​ expect?

E(X) = np = 6*0.08 = 0.48

​b) With what standard​ deviation?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645

​c) If we keep picking people until we find a​ lefty, how long do you expect it will​ take?

Number of trials to find 1 success. So

N = \frac{r}{p} = \frac{1}{0.08} = 12.5

4 0
3 years ago
When two customers enter the store together, what is the probability that at least one of them will make a purchase?
arsen [322]

The probability is 1/2 or 50%.

Hope this helps :)

5 0
3 years ago
4.5x-7=20 i need help whats the answer
Dmitry [639]
Your answer will be 6. 
7 0
3 years ago
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Consider a function <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%281%20-%20x%29%5E2%7D%7B%281%20%2B%20x%29%5E2%
SCORPION-xisa [38]

Answer:

f=

x2−2x+1

x3+2x2+x

Step-by-step explanation:

Let's solve for f.

fx=

(1−x)2

(1+x)2

Step 1: Multiply both sides by x^2+2x+1.

fx3+2fx2+fx=x2−2x+1

Step 2: Factor out variable f.

f(x3+2x2+x)=x2−2x+1

Step 3: Divide both sides by x^3+2x^2+x.

f(x3+2x2+x)

x3+2x2+x

=

x2−2x+1

x3+2x2+x

f=

x2−2x+1

x3+2x2+x

8 0
4 years ago
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