Answer:
(3, 5, 2)
Step-by-step explanation:
Many authors interpret the triangle inequality to mean the sum of the two short sides must <em>exceed</em> the length of the long side. For side measures 2, 3, 5, the sum of the two short sides is <em>exactly equal</em> to the long side, in violation of the triangle inequality. Hence (3, 5, 2) is not a triangle.
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<em>Comment on the triangle inequality</em>
Other authors allow the "or equal to" case, meaning sides of lengths 2, 3, 5 will be considered to be a triangle because 2+3=5. This interpretation of the triangle inequality will result in <em>no solution</em> to your question.
A (3, 5, 2) "triangle" will look like a line segment of length 5. It will have an area of zero.
8x9=72 ft squared
4x3=12 ft squared
72+12=84 ft squared
Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
The numbers rounded are: 1,800,000 + 5,900,000 The sum of the two numbers is 7,700,000, so C is the answer
I hope I helped:
C: 7,700,000
Answer:
f(x) = −2(0.7)x
Step-by-step explanation:
That is the answer because we have to change a percent to a decimal and that is the only option.