Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) =
By applying tangent rule in the given right triangle BOC,
tan(60°) =
OC = BO(√3)
OA + OC = AC
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) =
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
Answer:
The interval [32.6 cm, 45.8 cm]
Step-by-step explanation:
According with the <em>68–95–99.7 rule for the Normal distribution:</em> If is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval
around 95% of the data must fall in the interval
around 99.7% of the data must fall in the interval
So, the range of lengths that covers almost all the data (99.7%) is the interval
[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]
<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>
Answer:
2, 10, 50, 250
Step-by-step explanation:
Using the formula with a₁ = 2 , then
a₂ = 5a₁ = 5 × 2 = 10
a₃ = 5a₂ = 5 × 10 = 50
a₄ = 5a₃ = 5 × 50 = 250
The first 4 terms are 2, 10, 50, 250
Answer: She needs to score at least a 98 on the sixth quiz to raise her average to at least 88.
Step-by-step explanation:
Answer:
x = 2
y = -1
Step-by-step explanation:
y = 2x - 5
y = -2x + 3
2x - 5 = -2x + 3
4x = 8
x = 2
y = 2(2) - 5
y = -1