Answer
B) x + 20 ≥ 50
Step-by-step explanation:
cylinder:
V = πr²h
V = 3.14(2)² * 3
V = 3.14(4) * 3
V = 3.14(12)
V = 37.7m³
rectangular prism:
V = lwh
V = (2.4)(9)(5)
V = 108m³
the entirety of the sculpture:
V = volume of cylinder + volume of rectangular prism
V = 37.7 + 108
<u>V = 145.7m³</u>
Answer:
8.2 units
Step-by-step explanation:
Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC
<u />
<u>Recall the Law of Cosines</u>
<u />
<u>Identify angles and sides</u>
<u />
<u>Solve for side "a"</u>
<u />
Therefore, the length of line segment BC is about 8.2 units
Answer:
The value of x>-10
Step-by-step explanation:
The interval notation if you need it is (-10,♾)
Answer: = ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 65.3
Standard deviation r = 5.2
Number of samples n = 36
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
65.3 +/-1.645(5.2/√36)
65.3 +/-1.645(0.86667)
65.3+/- 1.4257
65.3+/- 1.4
= ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)
