Stan's heart rate, in beats per minute, was measured 20 times at random. The results are 82, 84, 98, 112, 97, 93, 91, 87, 112, 8
Licemer1 [7]
Answer:
(80.4942, 94.9052)
Step-by-step explanation:
The sample mean is x = 87.7.
The sample standard deviation is s = 11.26.
At 99% confidence and 19 degrees of freedom, the critical value is t = 2.861.
The confidence interval is:
x ± t (s/√n)
87.7 ± 2.861 (11.26 / √20)
87.7 ± 7.2053
(80.4947, 94.9053)
The value of x in the triangle is (a) 22
<h3>How to solve for x?</h3>
The complete question is in the attached image.
From the attached image of the triangle, we have:

Evaluate sin(45)

Solve for x

Divide
x = 22
Hence, the value of x is (a) 22
Read more about special triangles at:
brainly.com/question/654982
#SPJ1
C. Not similar hope this helps
D= 23 in.
hope its what you’re looking for :)
Width of the rectangle is 13 ft and length of the rectangle is 33 ft
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14
⇒ 92 = 6x + 14
⇒ 78 = 6x
⇒ x = 78/6
∴ x = 13 ft
⇒ Width of the rectangle = 13 ft
∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft