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2 years ago

What is the solutions for 5x+7y<=-3??

Mathematics

2 answers:

dexar [7]2 years ago

7 0

Do you know how to graph by finding the x and y intercepts? Or can you solve for y so your equation looks like y=mx+b?

saw5 [17]2 years ago

3 0

   5x + 7y ≤ -3
5x - 5x + 7y ≤ -3 - 5x
   <u>7y</u> ≤ <u>-3 - 5x</u>
      7 7
   y ≤ ³/₇ - ⁵/₇x

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2 years ago

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gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

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Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

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2 years ago