Karla uses a traditional, manual method of constructing perpendicular lines, using a straightedge while Daryl uses a latest drawing tools to draw them.
Both the methods are correct, however the amount of effort and time taken will vary for these two different methods.
Since Karla is constructing perpendiculars manually so she has to go through all the methods carefully, from placing the straightedge to marking the arcs and joining them correctly. It will take her a little longer and more effort to get the accurate results.
On the contrary, the drawing tool used by Daryl will be much more efficient as he can construct perpendicular lines just by specifying a point in no time.
Answer:
a) impossible because the probability would change mattering on the number of red counters
b)15 red counters are in the bag
Step-by-step explanation:
The ordered pair that makes both inequalities true is (4,0).
we have
y<3x-1 ----> inequality A
y > –x + 4----> inequality B
we know that
If an ordered pair is a solution to the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
Verify each ordered pair
case 1) (4,0)
Inequality A
0<3(4)-1 ----> is true
Inequality B
0> –4 + 4 ----> is true
<h3>What is inequality?</h3>
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
So, The ordered pair makes both inequalities true
case 2) (1,2)
Inequality A
2< 3(1) – 1
2<3-1
2<2----> is not true
So the ordered pair does not make both inequalities true
case 3) (0,4)
Inequality A
0 < 3(4) – 1
0<12-1
0<11 ----> is not true
So, the ordered pair does not make both inequalities true
case 4) (2,1)
Inequality A
1< 3(2) – 1
1<6-1
1<5----> is true
Inequality B
----> is not true
So the ordered pair does not make both inequalities true.
To learn more about the inequalities visit:
brainly.com/question/24372553
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Answer:
Step-by-step explanation:
To start off, find out the probability that if you chose a number at random, you would pick a certain number. To do this count how many numbers you have, in this case it's 10. So if each of the numbers had the same chance to be picked, the probability of picking a certain number is .
The same thing goes for the letters. Count how many you have, in this case it's the whole alphabet, so, 26 letters. Therefore, the probability of picking a certain letter is .
Now for how we can use these probabilities. We want the probability that the code is a 7 AND a 4 AND a M. Because we are using AND and not OR, we should use the multiplication rule which is: × .
Using this rule we can do the calculation: × ×
In this case, , and .
× ×
We can round this to
Answer:
The correct answer is b=9