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Studentka2010 [4]
3 years ago
14

Please help I'm almost done the test and need this and one other question ​

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:

z=68

Step-by-step explanation:

Use the formula 180\times(n-2) to find the sum of the angles in a polygon, given <em>n</em> sides. This formula tells us the angles of this pentagon must add to 540 (180\times(5-2)=540).

So, we can setup an equation:

70+2z+11+119+z+2z=540

Solve for z:

200+5z=540 Combine like terms

5z=340 Subtract 200

z=68 Divide by 5

Therefore, the value of z = 68.

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The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 5 minutes and a stand
erastovalidia [21]

Answer:

z=0.524

And if we solve for a we got

a=5 +0.524*2=6.048 \approx 6.05 min

Step-by-step explanation:

Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:

X \sim N(5,2)  

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For this part we want to find a value a, such that we satisfy this condition:

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P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524

If we use condition (b) from previous we have this:

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P(z

But we know which value of z satisfy the previous equation so then we can do this:

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And if we solve for a we got

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3 0
3 years ago
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