Answer:
<h2>D. addition property of inequality</h2>
Step-by-step explanation:
Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6
From step 3;
-6x − 8 < -2
Michael got the step 4 by adding 8 to both sides of the inequality as shown;
-6x − 8 + 8 < -2 + 8
-6x < 6 (Step 4)
Since Michael added 8 to both sides of the inequality, <em>the property that justifies the transition from step 3 to step 4 is the </em><u><em>addition property of inequality</em></u><em>. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.</em>
Answer:
10.55% probability
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.
1 Bach CD, from a set of 4.
1 Beethoven CD, from a set of 6.
1 Brahms CD, from a set of 3.
1 Handel CD, from a set of 2.
So, D=144
4 CDs from a set of 4+6+3+2 = 15.
So, T= 1365
p= D/T= 144/1365 = 0.1055
10.55% probability that she will choose one by each composer
Answer:
When they send 25 texts each, their bills will be equal
Step-by-step explanation:
Let the number of text messages that makes their bill equal be x
Jorge will have a bill of = 50 + x(1) = 50 + x
Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x
Since their bills will now be equal, we equate both
50 + x = 72 + 0.12x
72-50 = x-0.12x
22 = 0.88x
x = 22/0.88
x = 25 texts
All of these would be translated versions of f(x).
A translated version is simply one in which the base equation is used and then moved. Each of these equations are quadratics with a starting term of x^2. All of them move up and down or side to side in some way and direction, but all of them would be translated versions of that graph.
Answer:
84%
Step-by-step explanation:
The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.
If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:
If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:
To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:
