Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
Statement Reason
1) 4x + 5 = 17 Given
2) 4x + 5 - 5 = 17 - 5 Subtraction property of equality
3) 4x = 12 Simplifying
4) 4x/4 = 12/4 Division property of equality
5) x = 3 Simplifying
Answer:
0.3165
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of adults sampled = 9
x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0
p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12
q = probability of failure = 1 - p = 1 - 0.12 = 0.88
P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰
P(X=0) = 0.31647838183 = 0.3165
Hope this Helps!!!
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