To find which orders pairs fit into the inequality simply substitute the variables, x & y.
A:3*8+4*(-3)>=12, yep! 12>=12
B: 3*(-5)+4*2>=12, Nope! -7 is not >= 12
C:Yep! 20>=12
D: Yep! 17>=12
Two corresponding sides and two corresponding angles are congruent.
Answer:
The answer is -343.
Step-by-step explanation:
If a term doesn't have an exponent, it's considered that the exponent is 1 (so basically, (-7)² x (-7)^1.
Multiply the terms with the same base (by adding the exponents - (-7)²+1<- (as the exponential value) (couldn't find the sign so sorry.)
Add the numbers: (-7)³
A negative base raised to an odd power equals a negative: -7³
Write the problem out: -(7 x 7 x 7).
Multiply: -343
Answer:
{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}
Step-by-step explanation:
The expansion of (p+q)^n for n = 5 is ...
(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5
When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.
For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.
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The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.