The approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°
<h3>Law of Cosines</h3>
From the question, we are to determine the approximate measure of angle T
From the law of cosines, we can write that
cosT = (s² + u² - t²)/2su
From the diagram,
s = 3.9 cm
u = 2.7 cm
t = 4.3 cm
Thus,
cosT = (3.9² + 2.7² - 4.3²)/2(3.9)(2.7)
cosT = (15.21 + 7.29 - 18.49)/21.06
cosT = 4.01/21.06
cosT = 0.1904
T = cos⁻¹(0.1904)
T = 79.02°
T ≈ 79°
Hence, the approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°
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Answer:
it basically says to write an equation Wich would be 22 and 12 using distributive property and is multiplication
Step-by-step explanation:
so... 22
x12
----
264
First you have to subtract 2250015 by 1650650 and the answer is 599365
The you add 2250015 to 1650650 and the answer is 3900665 so you divide
599365 by 3900665 and multiply by 100 and the final result is 517.325002
And to the nearest ten is 517.3 because 2 is below five to round up
Final answer— 517.3
Hope this helps
Answer:
When we compare the significance level 
we see that 
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be:
Conclusion
When we compare the significance level we see that so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
