Answer:
(34, 48)
Step-by-step explanation:
According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:
41 - 7 < mean < 41 + 7, or
34 < mean < 48, or simply (34, 48)
Answer:
B 137.32 cm³
Step-by-step explanation:
The original volume is
V = pi r^2 h
V = pi (3)^2 ( 12)
V =108 pi cm^2 = 339.12
the diameter increases by 1.12 6*1.12 = 6.72
r = 6.72 /2 =3.36
The height will increase by 1.12 so 12*1.12
V = pi ( 3.36)^2 ( 13.44)=476.4391834
The difference is
476.4391834 - 339.12 = 137.3191834
To the nearest hundredth
137.32
The solution to the system of equation is x ≤ –4 and x > 4
<h3>Compound inequality</h3>
Given the inequality expression
2x ≤ –8 or 3x + 1 > 13
Solving individually
2x ≤ –8
Divide both sides by 2
2x/2 ≤ –8/2
x ≤ –4
For inequality 3x + 1 > 13
3x > 13 - 1
3x > 12
x > 12/3
x > 4
Hence the solution to the system of equation is x ≤ –4 and x > 4
Learn more on inequality here: brainly.com/question/24372553
Answer:
A = 84 inches^2
Step-by-step explanation:
We know that the formula for the area of a triangle is given by
A = 1/2 b*h
Let's substitute what we know
We need the units to be the same
Convert 7 ft to inches
1 ft = 12 inches
Multiply both sides by 7
7 ft = 84 inches
A = 1/2 *84*2
A = 84 inches^2
