Good morning☕️
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Answer:
w is the width
L is the length
p is the perimeter
w=9
L=27
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Step-by-step explanation:
p=2[(L-4) + (w+1)]
⇔p=2[(3w-4) + (w+1)]
⇔p=2[4w-3]
⇔p=8w-6
⇔66=8w-6
⇔8w=72
⇔w=9
Then L=3w=27
:)
Answer:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

Total outcomes:
4 students from a set of 13(number of students in the lottery). So

Probability:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Answer:
12
Step-by-step explanation:
Let's simplify each term.



Now we multiply:

Hope this helps!
Answer:
d. 0%
Step-by-step explanation:
A. First move all to the left side of the equation(Normal form)
x^3 - 49x= 0
B. Factor out an x, which is the GCF (Factored form)
x(x^2 - 49) = 0
C. Find solutions by making each x piece equal to 0. The first part is just x=0 and the second part is just factoring the difference of squares and then solving.
x=0, x^2 - 49 =0
x=0, x + 7 = 0, x - 7 = 0
Therefore, the answers for Part C are:
x = 0, x = -7, x = 7