Solve the inequality below, then determine which number line shows the solution graphed correctly.
2 answers:
Answer:
B
Step-by-step explanation:
2x-6 is 2 is what you start with and first, you would have to move the 6 to the other side to isolate the 2x. To do that, you do the opposite operation of the 6 which is addition. Add 6 to both sides to the eqaution would end up being 2x
8. Now to isolate the x, we also have to do the opposite operation so divide the 2x and the 8 by 2. The eqaution would look like this x
4. Number line B would show this ineqaulity as the arrow is going left to show that x is less than 4 but the dot is also shaded in which means that 4 can also be the answer as well. Hope this helps:)
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Answer:
The second choice: Approximately of the pretzel bags here will contain between 225 and 245 pretzels.
Step-by-step explanation:
This explanation uses a z-score table where each entry has two decimal places.
Let represent the mean of a normal distribution of variable
. Let
be the standard deviation of the distribution. The z-score for the observation
would be:
.
In this question,
.
.
Calculate the z-score for and
. Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.
.
.
The question is asking for the probability (where
is between two values.) In this case, that's the same as
.
Keep in mind that the probabilities on many z-table correspond to probability of (where
is no greater than one value.) Therefore, apply the identity
to rewrite
as the difference between two probabilities:
.
Look up the z-table for and
:
.
.
.