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Gre4nikov [31]
3 years ago
9

Solve: e/3+ 2 < 5 Please show working out.

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

e < 9

Step-by-step explanation:

e/3 + 2 < 5

       -2     -2

e/3 < 3

Multiply both sides by 3 to get e by itself

e < 3 × 3

e < 9

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How to simplify -3 (4×-5y-5×)
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Distribute -3 to the rest of the numbers by multiplying them together. That’s all you need to do you don’t have to solve
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4 years ago
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Brian bought a new air conditioning unit on his credit card. The unit had a base price of $435. Brian made no other purchases on
Svetlanka [38]

Answer:

D is the correct answer

Step-by-step explanation:

Given:

Unit base price: $435

Credit Card interest rate, i = 9.4% compounded monthly; i = 0.00783/month comp monthly

n = 1.5 years = 18 months

sales tax = 8.51%

First, determine the actual price of the unit by adding the sales tax to the base price of the unit:

$435 * (1 + 0.0851)

Actual price = $472.0185

So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:

F = P (1+i)^n

F = $507.96

Therefore, the total amount paid by Brian is $507.96.

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3 0
2 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0
3 years ago
10% of Glen's coins are from Denmark. If he has 11 coins from Denmark, how many
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Answer:

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Step-by-step explanation:

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