Answer:
See explanation and attachment
Step-by-step explanation:
SOH CAH TOA is a mnemonic.
SOH means
CAH means
TOA means
Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.
For instance, find x in the diagram in the attachment.
In this case the best ratio to use is TOA.
All the other ratio also follow the same pattern
NB: Your calculator in degree should give
Answer:
A) $192
Step-by-step explanation:
Given:
Yearly expense of Car insurance = $1130
Yearly expense of Vacation = $700
Yearly expense of home repairs = $468
we need to find the monthly allowance of Clark family.
First we find the total annual expense of Clark family.
Total Annual expense is equal to sum of Yearly expense of Car insurance and Yearly expense of Vacation and Yearly expense of home repairs.
Framing in equation form we get;
Total annual expense =
Now we know that;
Number of months in a year = 12 months.
Total Monthly allowance will be equal to Total annual expense divided by Number of months in year.
Framing the equation we get;
Total Monthly allowance =
Rounding to nearest dollar we get;
Total Monthly allowance of Clark family is $192.
Answer:
The critical values for α = 0.10 are t=±1.7341.
Step-by-step explanation:
The critical values for a two tailed test are the values of t that are placed in the limit of the significance level. If the test statistic t is greater than this critical values, the null hypothesis is rejected.
To determine this values, we first divide the significance level by 2. With a t-table or app, we can determine the t values for P(x>|t|)=α/2=0.05.
In this case, for a degrees of freedom DF=20-2=18, we have the test statistic t=±1.7341 that satisfies the condition.
Solution of the hypothesis test
In this problem we want to prove if the slope of the regression model is different from 0, by means of a hypothesis test.
First, we state the null and alternative hypothesis:
The significance level is .
The degrees of freedom for a simple regression model is:
The standard error estimated of the slope is 0.0053.
The test statistic t is calculated as:
The P-value for a two-tailed test for a t=4.0377 and DF=18 is:
The P-value is smaller than the significance level, so the effect is statistically significant. The null hypothesis is rejected.
