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3 years ago

A rectangular field is 36

Mathematics

1 answer:

blagie [28]3 years ago

6 0

Answer:

12meters

Step-by-step explanation:

Given data

Lenght = 36 meters

Width = 15 meters

The dimension of the diagonal can be gotten via Pythagoras theorem

D^2= L^2+W^2

Substitute

D^2= 36^2+ 15^2

D^2= 1296+225

D^2= 1521

D= √1521

D= 39 meters

Hence the distance while walking on the side is

=36+15

=51 meters

Hence the difference is

=51-39

=12meters

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3 years ago

Find each. a. za_2 for the 99% confidence interval b. za_2 for the 98% confidence interval c. za_2 for the 95% confidence interv

irga5000 [103]

Answer:

a) Z = 2.575.

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Step-by-step explanation:

Question a:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

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Question b:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.98}{2} = 0.01$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.01 = 0.99$ , so Z = 2.327.

Question c:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

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Question d:

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$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Question e:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.94}{2} = 0.03$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.03 = 0.97$ , so Z = 1.88.

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3 years ago

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Semenov [28]

Answer:

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Step-by-step explanation:

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3 years ago

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Tema [17]

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