They give you: <RSP = 90 degrees
If you look in the diagram, <RSP is vertical to <UPW and vertical angles have the same measure. <RSP = <UPW
So the correct answer is A.
Answer:
tan=0.75
Step-by-step explanation:
We know sin=opp/hyp, so 21 is the opposite side length in relation to theta.
To figure out tan, we need to know what the adjacent angle is because tan=opp/adj
21 squared= 441
35 squared =1225
1225-441= 784
The square root of 784 = 28
Now that we know both the opp and adj sides, we can solve for tan.
21/28= 0.75
Answer: 0.023 is twenty-three thousandths written in standard form!
Answer:
a
The null hypothesis is

The Alternative hypothesis is

b

c

d
Yes the mean population is significantly less than 21.
Step-by-step explanation:
From the question we are given
a set of data
20 18 17 22 18
The confidence level is 90%
The sample size is n = 5
Generally the mean of the sample is mathematically evaluated as


The standard deviation is evaluated as



Now the confidence level is given as 90 % hence the level of significance can be evaluated as

%

Now the null hypothesis is

the Alternative hypothesis is

The standard error of mean is mathematically evaluated as

substituting values


The test statistic is evaluated as

substituting values


The critical value of the level of significance is obtained from the critical value table for z values as

Looking at the obtained value we see that
is greater than the test statistics value so the null hypothesis is rejected
By subtraction we get
5x=15
x=3
9+2y=9
y=0
So the answer is B