Answer:
Step-by-step explanation:
The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.
X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)
Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)
Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)
Answer:
<em>n = 8 or n = −2</em> <em>is the correction solution.</em>
Step-by-step explanation:
As the absolute value equation is given:
| n−3 | = 5
We know either n − 3 = 5 or n − 3 = −5
n − 3 = 5 (First Possibility)
n − 3 + 3 = 5 + 3
n = 8
n − 3 = -5 (Second Possibility)
n = -5 + 3
n = -2
<em> So, n = 8 or n = −2</em> <em>is the correction solution.</em>
<em>Keywords: absolute value equation</em>
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Answer:
50 items were sold for $75
35 items were sold for $90
Step-by-step explanation:
75 x 50 = 3750
90 x 35 = 3150
3750 +3150 = 6,900
The probability that at least one of them has been vaccinated is equal to 98.5% if 65% of the people have been vaccinated.
Considering P to be the probability that at least one is vaccinated and q to be the probability that none of the four are vaccinated; the sum of all the probabilities must equal 1; therefore,
P = 1 - q
As 65% of the population is vaccinated, therefore 35% are not vaccinated. Thus any person has a probability of 0.35 of not being vaccinated;
q = 0.35^4 = 0.015
P = 1 - 0.015
P = 0.985
Converting it into percentage;
P = 0.985 × 100 = 98.5%
Therefore the probability that at least one of them has been vaccinated is calculated to be 98.5%
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Answer:
Tell us the ?
Step-by-step explanation:
