Answer:
w = 3.2 m
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, that is
=
( cross- multiply )
8.5w = 27.2 ( divide both sides by 8.5 )
w = 3.2 m
Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?
1 answer:
You might be interested in
The correct expansion is the one in option b:
Here we must use the logarithmic property:
Our expression in this case is:
Using the above property, we can rewrite the expression as:
From this, we conclude that the correct option is B.
If you want to learn more about logarithms:
#SPJ1
Answer:
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.
P-value = 0.003.
Step-by-step explanation:
If we perform a regression analysis relating x and y, we get the best fitting line with equation:
and a correlation coefficient r:
We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).
This can be written as:
where ρ is the population correlation coefficient for x and y.
The significance level is assumed to be 0.05.
The sample size is n=16.
The degrees of freedom are df=14.
The test statistic can be calculated as:
For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:
The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.