The estimated lengths are 12in. and 5 in. This would be an estimated difference of 7in.
The estimated difference is going to be higher than the actual difference because in rounding 11.7 to 12, you are losing .30in, but in rounding down 5.25 to 5, you are actually gaining .75in.
The ACTUAL difference is 6.45in
Answer: d=20/3
Step By Step:
Step 1, Simplify:
12-3/4(d+16)=-5
(-3/4)d+(12-12)=-5
(-3/4)d=-5
Step 2, Multiply each side by 4/(-3)
(4/-3)*(-3/4)d=(4/-3)*-5
d=20/3
The polynomial

may have solutions which are the divisors of -20, therefore -20 has the following divisors:

.
If x=1, then

,
if x=-1, then

,
if x=2, then

, then x=2 is a solution and you have the first factor (x-2).
If x=-2, then

, then x=-2 is a solution, so you have the second factor (x+2).
Since x-2 and x+2 are two factors of

, then the polynomial

is a divisor of

and dividing the polynomial

by

you obtain

.
Answer:
Use the app photomath
Step-by-step explanation:
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.