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2 answers:
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9514 1404 393
Answer:
C) 14 cm
Step-by-step explanation:
A triangle solver can quickly show you the third side is 14 cm.
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The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...
c² = a² +b² -2ab·cos(C)
c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74
c ≈ √196.74 ≈ 14.03
The length of the third side is about 14 cm.
Answer:
if the scatter plot has a curve like the one attached does then it is quadratic regression.
Step-by-step explanation:
Exponential growth is a specific way that a quantity may increase over time. ... Described as a function, a quantity undergoing exponential growth is an exponential function of time, that is, the variable representing time is the exponent (in contrast to other types of growth, such as quadratic growth).
Exponential growth is a specific way that a quantity may increase over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself.
This means if it has a curve that doesn't represent same value proportions to another axis. that is different to exponential then we say it is quadratic regression.
The formal term to describe a straight line graph is linear, whether or not it goes through the origin, and the relationship between the two variables is called a linear relationship.
Answer:
Correct options is (A).
Step-by-step explanation:
A (1 - <em>α</em>)% confidence interval can be constructed to determine whether there is any difference between the average GPA of seniors and the average GPA of sophomores.
The hypothesis can be defined as:
<em>H₀</em>: There is no difference between the average GPA of seniors and the average GPA of sophomores, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.
<em>Hₐ</em>: There is a difference between the average GPA of seniors and the average GPA of sophomores, i.e. <em>μ</em>₁ - <em>μ</em>₂ ≠ 0.
The (1 - <em>α</em>)% confidence interval for the difference between two means is:
Decision rule:
If the confidence interval contains the mull value, i.e. 0, then the null hypothesis will be failed to be rejected and vice-versa.
The 95% confidence interval for the difference between the true average GPAs (seniors - sophomores) is (0.53, 1.61).
The 95% confidence interval dos not contains 0. Thus, the null hypothesis will be rejected.
Conclusion:
There is a significant difference between the average GPA of seniors and the average GPA of sophomores.
The 95% confidence interval for the difference between the true average GPAs (0.53, 1.61), implies that there is a 95% confidence that the average GPA of seniors is greater than the average GPA of sophomores.
Thus, the correct options is (A).