Answer:
x = -1
Step-by-step explanation:
to find axis of symmetry, use the following equation:
x = -b/2a
in this problem, a = 3, b = 6, c = -12
x = -6/2(3)
x = -6/6
x = -1
12x2-7=6-2x2+2
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840
The most likely populations that Kanesha can pick an appropriate sample for the survey is: <u><em>people who live near the unused park.</em></u>
When running a survey, it is important to use a sample that represents the target population that can sufficiently provide answers to the questions you seek to ask.
Using the a sample from the right population will give you enough data to carryout a survey. The people living close to the unused park would definitely be affected by whatever establishment that is done in the unused park.
Therefore, the most likely populations that Kanesha can pick an appropriate sample for the survey is: <u><em>people who live near the unused park.</em></u>
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Learn more about survey on:
brainly.com/question/14610641
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
