Answer:
the answer is 9
Step-by-step explanation:
why it 9 Add '2.7' to each side of the equation.
-2.7 + 2.7 + 0.3x = 9 + 2.7
Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 0.3x = 9 + 2.7
0.3x = 9 + 2.7
Combine like terms: 9 + 2.7 = 11.7
0.3x = 11.7
Divide each side by '0.3'.
x = 39
Simplifying
x = 39
To solve for this, let's try the highest number x and y can be.
X < 5, so it can be 4.
Y < 6, so it can be 5.
4 + 5 = 9.
9 < 11, so x + y < 11.
Your missing inequality symbol is:
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I hope this helps!
<h3>
Answer: The rectangles are <u>
not</u>
similar</h3>
========================================================
Explanation:
Divide the vertical sides to get the fraction 18/7
Divide the horizontal sides to get the fraction 30/6
If the rectangles were similar, then 18/7 = 30/6 is a possibility (there's one more possibility but we'll get to it later).
If 18/7 = 30/6 were true, then we should be able to cross multiply and get another true statement. Let's find out
18/7 = 30/6
18*6 = 7*30
108 = 210
We get a false statement, which means the original equation is false.
-----------------------
Now let's say we rotated the bottom rectangle so that the '7's were horizontal and the '6's were vertical. We'll divide the corresponding horizontal sides and vertical sides to get the two fractions of 30/7 and 18/6
Let's see if we have a true equation or not
30/7 = 18/6
30*6 = 7*18
180 = 126
Like before, we end up with a false equation which means the original is false.
No matter how we rotate the rectangles, we do <u>not</u> end up with similar figures.
-----------------------
Here's another way to see we don't have similar rectangles. We'll form the fraction 18/30 based on dividing the vertical and horizontal sides of the upper rectangle. The lower rectangle gives us 7/6
18/30 = 7/6
18*6 = 30*7
108 = 210
This is more evidence that the rectangles aren't similar. The same will happen if we tried 18/30 = 6/7
Answer:
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The probability that the islanders will beat the rangers in a game is 0.44
This means that 
What is the probability that the islanders will win exactly one out of four games in a series against the rangers?
This is P(X = 1) when n = 4. Then
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
There is no picture so I can't help.
