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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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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is
Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given the mean of the Population(μ)  = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

                                                 S = √784 = 28

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

                     t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

                    t = \frac{412 -419}{\frac{28}{\sqrt{19} } }

                   t = -1.09

                 |t| = |-1.09|

<em>Degrees of freedom   ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ =  3.19</em>

<u><em>Final answer:</em></u><em>-</em>

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

                   

8 0
3 years ago
Write down the first even multiple of 7
Fiesta28 [93]

Answer:

14

Step-by-step explanation:

multiples are the list of number that can be multiplied by a certain number.

list the multiples

make a chart

1 × 7 = 7 (odd)

2 × 7 = 14 (even)

the first even multiple is 14 (2×7)

6 0
2 years ago
I NEED HELP PLEASE ASAP!!
hammer [34]

Answer:

Option B, 1

Step-by-step explanation:

tan 45° = 1/1 = 1

7 0
2 years ago
The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet
aleksklad [387]

Answer:

The length of the actual train's car is <u>67.5 feet.</u>

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be x.

And, the length of the car of model train = 5\ inches\ long.

<em>According to the scale of the model train, 1 inch is equivalent to 13.5 ft. </em>

<em>Thus, 5 inches is equivalent to </em>x.<em />

Now, to get the length of actual train's car using cross multiplication method:

\frac{1}{13.5} =\frac{5}{x}

By cross multiplying we get:

x=67.5\ feet.

Therefore, the length of the actual train's car is 67.5 feet.

7 0
3 years ago
How to estimate the quotient of 49.3 divided by 6
prisoha [69]
That would be 8 because the answer is 8.21 and you round down to 8
5 0
2 years ago
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