Step-by-step explanation:
Using the trigonometric identity
sin(a - b) = sin a cos b - cos a sin b
So sin 79° cos 19° - cos 79° sin 19° can be written as
sin ( 79 - 19) = sin 60
And
Hope this helps you
associative of multiplication
Answer:
-4 2/21
Step-by-step explanation:
make a common denominator (21)
and subtract
Answer alternate exterior angles theorem
Step-by-step explanation
just do it
The null hypothesis is rejected because the probability is 0.52.
<h3>What are null hypotheses and alternative hypotheses?</h3>
In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A political pollster claims that 55% of voters prefer candidate A.
To investigate this claim, a random sample of 75 voters is polled.
The pollster finds that 39 of those polled prefer candidate A.
He would like to know if the data provide convincing evidence that the true proportion of all voters who prefer candidate A is less than 55%.
This is left tailed test
H₀: p = 0.55
Hₐ: p < 0.55
Then the probability will be
p = 39 / 75
p = 0.52
P-value = 0.3015
Interpretation of P-value:- In a random sample of 75 voters, the chance of getting a sample statistic of 0.52 or below is 0.3015, assuming that the real population proportion of the voter base who chooses candidate A is 0.55.
More about the null hypotheses and alternative hypotheses link is given below.
brainly.com/question/9504281
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