Answer:
4/6
Step-by-step explanation:
The probability of rolling a 6 is 1/6 as shown in the left section.
The probability of landing on tales is 1/2 as shown in the right section.
Becuase it is an or and not an and... you have to add them together.
1/6 + 1/2 = 1/6 + 3/6 = 4/6.
Therefore, the probability of rolling a 6 or landing on tails is 4/6.
We need at least 3 informations.
They are similar to that of the requirements for the two triangles to be congruent.
1. Angle - Side - Angle
2. Side - Angle - Side
3. Angle - Angle - Side (this one is not easy for drawing)
4. Side - Side - Side and
5. Right angle - Hypotenuse - Side
Answer:
0.07378
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 65 inches
μ is the population mean= 64.5 inches
σ is the population standard deviation = 2.99
n = 75
z = 65 - 64.5 /2.99/√75
z = 0.5/0.345255461
z = 1.4482
Probability value from Z-Table:
P(x<25) = 0.92622
P(x>25) = 1 - P(x<25)
= 1 - 92622
= 0.07378
The probability that the mean height for the sample is greater than 65 inches is 0.07378
The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Answer:
yes in the steps
Step-by-step explanation:
conclusive
