Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and 
is the angle between a and b .
In equation 1 , the maximum and minimum values of 
are 1 and -1.
so the value of c lies in between
⇒ 
and 
= 
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9
Answer:
0.25
Step-by-step explanation:
Prime outcomes on a die: 2,3,5
P(prime) = 3/6 = 1/2
Even outcom: 2,4,6
P(even) = 3/6 = 1/2
P(prime & even)
= P(prime) × P(even)
= ½ × ½
= ¼ or 0.25
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
<h3>How to determine the critical values corresponding to a 0.01 significance level?</h3>
The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
- Number of paired observations, n = 8
- Significance level = 0.01
Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
Read more about null hypothesis at
brainly.com/question/14016208
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x = 14
Explanation:
height = x
base 1 = 98
base 2 = 2
Using altitude formula in geometric mean:
base 1/height = height/base 2
98/x = x/2
![\begin{gathered} 196=x^2 \\ \text{square root both sides:} \\ \sqrt[]{196}\text{ = }\sqrt[]{x^2} \\ x\text{ = }\sqrt[]{196} \\ x\text{ = 14} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20196%3Dx%5E2%20%5C%5C%20%5Ctext%7Bsquare%20root%20both%20sides%3A%7D%20%5C%5C%20%5Csqrt%5B%5D%7B196%7D%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7Bx%5E2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B196%7D%20%5C%5C%20x%5Ctext%7B%20%3D%2014%7D%20%5Cend%7Bgathered%7D)
