Answer:
The 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population standard deviation is:
The information provided is:
<em>n</em> = 26
<em>s</em> = 4.8 minutes
Confidence level = 90%
Compute the critical values of Chi-square as follows:
*Use a Chi-square table.
Compute the 90% confidence interval for the population standard deviation waiting time for an oil change as follows:
Thus, the 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).
Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:
where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:
The ratio of the lateral area of the cone to the lateral area of the cylinder is:
Canceling out, we have:
Hence the Answer is option B
A : 10000 J
B: 625 J
C: 2500 J
Step-by-step explanation:
Step 1:
We know that ,
Kinetic Energy is given by ((1/2) × m × V²) J
where m = Mass of substance
V = Velocity
Step 2:
In first case, m= 50 kg, V=20 m/s
Kinetic energy = 0.5 × 50 × 20 ×20
= 10000 J
In second case, m= 50 kg, V=20 m/s
Kinetic energy = 0.5 × 50 × 5 ×5
= 625 J
In Third case, m= 50 kg, V=10 m/s
Kinetic energy = 0.5 × 50 × 10 ×10
= 2500 J
Answer:
∠F = 42°
Step-by-step explanation:
similar triangles have congruent corresponding angle measures.
so if ΔABC ~ ΔEFG, then ∠B corresponds with ∠F, so ∠F = ∠B
∠F = 42°
