Please help! really stuck on this question!
1 answer:
Answer:
132 people bought balcony seats and 450 people bought ground seats.
Step-by-step explanation:
We want to solve the system of equations:
We can solve this by using substitution. From the second equation, we can subtract <em>b</em> from both sides:
In the first equation, we can divide both sides by five:
Substitute:
Distribute:
Simplify:
Solve for <em>b: </em>
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Using the modified equation again, substitute:
Evaluate:
Therefore, 132 people bought balcony seats and 450 people bought ground seats.
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Answer:
The median value will be 8.
Step-by-step explanation:
The simplest way to think of a median is as a sort of "middle" value. We want to arrange our numbers from lowest to highest, then select the one in the middle. Here is another example:
3, 5, 2, 7, 3, 9, 1, 4, 7
The first step is to order these numbers from lowest to highest, like so:
1, 2, 3, 3, 4, 5, 7, 7, 9
The number in the middle of this set is 4.
The problem you have presented, as well as the above example, both deal with an odd amount of numbers. Your problem has seven numbers, and the example I gave has nine. For any odd amount of numbers, the median is the value in the middle. But what about an even amount of numbers?
Consider:
9, 4, 3, 7
Let's rearrange this:
3, 4, 7, 9
Now, there will be two "middle" values: 4 and 7. The median value will be the average of these two values:
I hope that helps!
Answer:
Option b) between 0.05 and 0.01.
Step-by-step explanation:
We are given the following in the question:
Let and
be the proportion of all parts from suppliers 1 and 2, respectively, that are defective.
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we get,
Now, we calculate the p-value from the table at 0.05 significance level.
P-value = 0.01174
Since,
Thus, the correct answer is
Option b) between 0.05 and 0.01.