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7nadin3 [17]
3 years ago
7

Cot(-30)+tan(600)-csc(-450)

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0
cot(-30) + tan(600) - csc(-450)
\frac{cos(-30)}{sin(-30)} + \frac{sin(600)}{cos(600)} - \frac{1}{sin(-450)}
\frac{cos(30)}{-sin(30)} + \frac{sin(600)}{cos(600)} - \frac{1}{-sin(450)}
-\frac{cos(30)}{sin(30)} + \frac{sin(600)}{cos(600)} + \frac{1}{sin(450)}
-\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} + \frac{-\frac{\sqrt{3}}{2}}{-\frac{1}{2}}} + \frac{1}{1}
-\sqrt{3} + \sqrt{3} + 1
0 + 1
1
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If 6m by 15m is a pond ,is 40m would be enough for fencing the pond
Veseljchak [2.6K]
If the pond were a rectangle, then:
length=15 m
width=6 m

We would have to calculate the perimeter of this rectangle.
Perimeter of a rectangle=2(length)+2(width)

Perimeter of this rectangle=2(15 m)+2(6 m)=30 m+12 m=42 m

We need 42 m and I only have 40 m, therefore, it would not be enough for fencing the pond. 
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An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-
Vedmedyk [2.9K]

The complete question is missing, so i have attached it

Answer:

A) Reject the null hypothesis

B) Reject the null hypothesis

C) Fail to reject the null hypothesis

D) Reject the null hypothesis

Step-by-step explanation:

A) We are given;

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n = 11

T = 1.91

Using online p-value from t-score calculator as attached with a DF = n - 1 = 11 - 1 = 10, and t-value = 1.91, and significance level of 0.05, and 1 tail, we have;

The p-value is 0.042602

P-value is less than significance level, thus, we will reject the null hypothesis

B) We are given;

Ha: μ < μ_o (This is thus, a one-tail problem)

n = 17

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Using online p-value from t-score calculator as attached with a DF = n - 1 = 17 - 1 = 16, and t-value = 1.91, and significance level of 0.05, and 1 tail, we have;

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C)We are given;

Ha: μ ≠ μ_o (This is thus, a two-tail problem)

n = 7

T = 0.83

Using online p-value from t-score calculator as attached with a DF = n - 1 = 7 - 1 = 6, and t-value = 0.83, and significance level of 0.05, and 2 tail, we have;

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P-value is higher than the significance level, thus, we will fail to reject the null hypothesis.

D) We are given;

Ha: μ > μ_o (This is thus, a one-tail problem)

n = 28

T = 2.13

Using online p-value from t-score calculator as attached with a DF = n - 1 = 28 - 1 = 27, and t-value = 2.13, and significance level of 0.05, and 1 tail, we have;

The p-value is 0.021218

P-value is lower than the significance level, thus, we will reject the null hypothesis

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Answer:

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