<span>Volume of the Sphere V = 4/3pi x r^3
So when diameter d = 3 inches => r = 1.5 inches
volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in
So when diameter d = 8 inches => r = 4 inches
volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in
So when diameter d = 9 inches => r = 4.5 inches
volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in
value for option (a) is 3 x 14.14 = 42.42 inches
value for option (b) is 268.03 inches
value for option (c) is 381.63 / 2 = 190.815 inches
So the correct option would be (b)</span>
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
Answer:
Both the stock have the same expected return.
Step-by-step explanation:
In year 1 the return earned by stocks A and B are:
Stock A = 2% return
Stock B = 9% return
In year 2 the return earned by stocks A and B are:
Stock A = 18% return
Stock B = 11% return
Compute the expected return for stock A as follows:
Compute the expected return for stock B as follows:
Thus, both the stock have the same expected return.
When a researcher needs to compare means for a variable grouped into two
categories based on some less-than interval variable, a t-test is appropriate.
To add, The analysis of two populations means through the use of
statistical examination is called a t-test. Small sample sizes commonly
use a t-test with two
samples. <span> What statisticians call as test statistics are
identified as t-values. A systematized value that is calculated from sample
data during a hypothesis test is called a test statistic. The procedure that
calculates the test statistic compares your data to what is expected under the </span>null
hypothesis<span>.
You already have an experience with the basic principles behind a t-test if you’ve
tried to communicated with a distracted teenager.</span>
The mechanical advantage is found by dividing Rw by Ra:
Mechanical advantage = 18 / 2 = 9
