Answer:
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball is approximately 4.66 inches
Step-by-step explanation:
The dimension of the ball with known radius = 16-inch
The surface area of the ball with 16-inch radius = 4×π×r² = π·D² = π×16² = 804.24772 in.²
Given that the ball uses one-half the rubber material coating used to cover the 16-inch ball, we have the surface area of the ball = 804.24772 in.²/2 = 402.12386 in.²
The radius, r₂ of the new ball is found as follows;
402.12386 in.² = 4×π×r₂²
r₂² = 402.12386 in.² /(4×π) ≈ 32
r₂ = √32 = 4·√2 ≈ 4.66 inches
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball ≈ 4.66 inches.
Answer:
R=-12
Step-by-step explanation:
6(1 + 3R) = 2(10R - 9) -4R
Distribute 6 through the parentheses
6+18R=2(10R-9)-4R
Distribute 2 through the parentheses
6+18R=20R-18-4R
Collect like terms
6+18R=16R-18
Move the variable to the left-hand side and change its sign
6+18R-16R=-18
Move the constant to the right-hand side and change its sign
18R-16R=-18-6
Collect like terms
2R=-18-6
Calculate the difference
2R=-24
Divide both sides of the equation by 2
R=-12
if you'd make me brainliest that'd be great, if not its ok as well! I hope this helped!!!
Answer:
y = 3x - 100
Step-by-step explanation:
below signifies that the 100 is negative
so we already know that the submarine is starting at -100 meters, which is going to be the y-intercept
ascend means to rise up signifying that the slope is going to be positive and we already know that the submarine is ascending 3 miles per minute
so the equation would look like this:
y = 3x - 100
A) The mean would be 1.842 and the standard deviation would be 1.339.
b) It would not be unusually low.
Explanationa) This can be modeled as a binomial distribution, since there are two outcomes (7 or not 7), the events are independent (getting a 7 on one spin does not influence the chance of a 7 on the next spin) and there are a fixed number of trials (70). In a binomial distribution, the mean is given by n*p, where n is the number of trials and p is the probability.
μ=n*p=70*(1/38) = 1.842.
The standard deviation of a binomial distribution is given by
σ=√(n*p*(1-p))=√(70(1/38)(37/38)=1.339.
b) To determine if this is unusually low, we find the probability:

Since this is not below 0.05, we do not consider this unusual.
For A(–3, 2), B(0, 7), and C(0, 2), find all locations of a fourth point, D, so that a parallelogram is formed using A, B, C, D
ki77a [65]
The answer will be a (-3,2)
This is due to the coordination grid and draw