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trapecia [35]
3 years ago
15

Paul has decided to set up his own recording studio. He needs to purchase four speakers at $435 apiece and two mixers at $772 ap

iece. He also needs to soundproof a room, which will cost him $838. If Paul has $4,500 in his savings account, how close can he come to setting up his studio?
Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

Paul can set up the recording studio and he will have $378 left over.

Step-by-step explanation:

We have been given that Paul needs to purchase four speakers at $435 a piece and two mixers at $772 apiece. He also needs to soundproof a room, which will cost him $838.

First of all, we will find the total amount needed to set up the recording studio by calculating amount needed for 4 speakers plus 2 mixers and soundproof room as:

\text{Amount needed for 4 speakers}=4\times \$435

\text{Amount needed for 4 speakers}=\$1740

\text{Amount needed for 2 mixers}=2\times \$772

\text{Amount needed for 2 mixers}=\$1544

\text{Total amount needed to set up recording studio}=\$1740+\$1544+\$838

\text{Total amount needed to set up recording studio}=\$4122

Now, we will subtract $4122 from $4500.

\text{Difference}=\$4500-\$4122

\text{Difference}=\$378

Therefore, Paul can set up the recording studio and he will have $378 left over.

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konstantin123 [22]

Super easy, simply add the amount of rides in Options 1 and 2. Option 1 offers 8 coasters and 5 other rides. 8+5=13.

Jennifer can get on no more than 12 rides. Option 1 is incorrect.

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4 0
3 years ago
The average watermelon weighs 8 lbs with a standard deviation of 1.5. Find the probability that a watermelon will weigh between
Andrew [12]

Answer:

The  probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.

P(6.8 ≤X≤9.3) = 0.5932

Step-by-step explanation:

Step 1:-

by using normal distribution find the areas of given x₁ and x₂

Given The average watermelon weighs 8 lbs

μ = 8

standard deviation σ = 1.5

I) when  x₁ = 6.8lbs and  μ = 8 and  σ = 1.5

 z_{1}  = \frac{x_{1} -mean}{S.D} = \frac{6.8-8}{1.5} = - 0.8

ii)  when x₂ = 9.3 lbs and  μ = 8 and  σ = 1.5

z_{2}  = \frac{x_{2} -mean}{S.D} = \frac{9.3-8}{1.5} = 0.866>0

<u>Step2</u>:-

The probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.

P(6.8 ≤X≤9.3) = A(z₂) - A(-z₁)

                      = A(0.866) - A(-0.8)

                       =  A(0.866)+ A(0.8)

check below normal table

                      = 0.3051 + 0.2881

                      = 0.5932

<u>Conclusion</u>:-

The probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.

P(6.8 ≤X≤9.3) = 0.5932

7 0
3 years ago
A square has an area of 15in^2. what is the approximate side lengths of the card
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Square area=side^2
15=area=side^2
sqrt both sides
√15=side
aprox
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3 years ago
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It's square and rhombus
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How long would the toy car be?...
maks197457 [2]

Answer:

6.37 cm.

Step-by-step explanation:

Since Hot Wheels uses a scale ratio of 1:64 (1 cm to scale = 64 cm actual) for their toys, knowing that the actual length of a VW Beetle is 160.6 inches, to determine the length of the toy car is you must perform the following calculation:

1 inch = 2.54 cm

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407.924 / 64 = X

6.373 = X

Therefore, the size of the toy car will be 6.37 cm long.

7 0
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