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Lelechka [254]
2 years ago
15

During the month of August, the mean of the daily rainfall in one city was 0.04 inches with a standard deviation of 0.15 inches.

In another city, the mean of the daily rainfall was 0.01 inches with a standard deviation of 0.05 inches. Han says that both cities had a similar pattern of precipitation in the month of August. Do you agree with Han? Explain your reasoning
Mathematics
2 answers:
victus00 [196]2 years ago
7 0
Thanks for this it really helped
krek1111 [17]2 years ago
7 0

Answer:

Yes, Han is correct.

Step-by-step explanation:

Yes, Han is correct. Both cities had very little rain on a daily basis.

Although one city had more rain than the other, this pattern of most days being dry and a few days being wet is the same in both cities.

Because both cities have large standard deviation(compare to the mean), it means that the rain came all at once or possibly just on a few days.

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A sample statistic , such as x bar, that estimates the value of the corresponding population parameter is known as a control chart.
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B) Find the principal that yields an interest of Rs 2240 at the rate of 10% p.a. in 3
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1,500

Step-by-step explanation:

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2 years ago
According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.

3 0
2 years ago
A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those
const2013 [10]

Answer:

The two stadiums are approximately 3115.1 meters away from each other

Step-by-step explanation:

Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.

In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:

tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx  290.6\,\,meters

and for the other one:

tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx  3405.7\,\,meters

The the distance between the stadiums is the difference:

b - a = 3405.7  - 290.6 meters = 3115.1  meters

8 0
2 years ago
Jonas began his construction by drawing the diameter of a circle and then a line perpendicular to the diameter that goes through
never [62]
Insufficient information.

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7 0
2 years ago
Read 2 more answers
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