Answer:80cm^2
Step-by-step explanation:
Area of a parallelogram=base×height
In the above diagram we were given a base of 16cm and height of 5cm
Therefore area of the parallelogram=16×5 which is equal to 80cm^2
Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it is tested if the mean is of 150, that is:

At the alternative hypotheses, it is tested if the mean is different of 150, hence:
.
The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)
Answer:
40/169
Step-by-step explanation:
P(pp,tennis) =
×
= 40/169 in simplified form
Answer:
4.8 (you can check but that's what I got)
Step-by-step explanation:
First find the missing angle by subtracting the sum of the two given from 180°
43°
Then use the Law of Sines to find the missing side
x/sinC = a/sinA
x/sin(90°)/3.5/sin(47°)
x=sin(90°)×(3.5/sin(47°))
x=4.7856...
x ≈ 4.8