Answer:
Check bolded below
Step-by-step explanation:
1)radius = 10 in (given), diameter = 2*radius = 2(10 in) = 20 in
formula for circumference => 2πr => 2π(10)
circumference = 20π in
2)diameter = 12 ft (given), radius = 1/2*diameter = 1/2(12 ft) = 6 ft
formula for circumference => 2πr => 2π(6)
circumference = 12π ft
3)radius = 3 m (given), diameter = 2*radius = 2(3 m) = 6 m
formula for circumference => 2πr => 2π(3)
circumference = 6π m
4)diameter = 18 cm (given), radius = 1/2*diameter = 1/2(18 cm) = 9 cm
formula for circumference => 2πr => 2π(9)
circumference = 18π cm
Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.
I see the answers,but where is the problem (equation that needs to be solved)
For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.
- A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x].
- The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable.
- Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).
- Mean(μ) = (1+2+3+4+5+6)/6
- Mean(μ) = 21/6
- Mean(μ) = 3.5
- The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'.
- A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'.
- σ² = E[X²]−μ²
- σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²
- σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²
- σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²
- σ² = (91/6) - (3.5)²
- σ² = 15.167-12.25
- σ² = 2.917
- σ = √2.917
- Standard deviation (σ) = 1.708
To learn more about variance, visit :
brainly.com/question/14116780
#SPJ9
Slope formula:
y2 - y1
_____
x2 - x1
5 + 16
_____
18 + 8
21
__
26
slope is 21/26
