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3 years ago

What is the quotient of a number and 5 is at least -8

Mathematics

2 answers:

erica [24]3 years ago

6 0

5 - 13 = -8

Hope this helps with your question! :)

Ivanshal [37]3 years ago

5 0

"Is at least" that means greater than or equal to. So your inequality would look like:

$n/5 \geq -8$

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Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

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peter buys 12 bunches of bannas for 9.00. use a ratio table to determine how much peter will pay for 8 bunches.

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We are given that Peter buys 12 bunches of bananas for 9.00.

We need to determine how much peter will pay for 8 bunches.

Let us set up proportion now.

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Let us assume Peter will pay for 8 bunches = $x.

Therefore, 8 bunches of bananas for x = 8 : x.

<h3>Setting up proportion:</h3><h3> $\frac{12}{9} = \frac{8}{x}$ </h3>

On cross-multiplying, we get

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12x = 72.

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<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>

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