9514 1404 393
Answer:
4.5
Step-by-step explanation:
It appears the 5 integers must be {3, 3, 4, 5, 7}.
For the mode to be unique, there must be more than one '3', and there cannot be any other repeated numbers. For 4 to be the median, it must be the 3rd-highest number. Then the remaining numbers must be integers greater than 4 with a sum of 12 for the mean to be 4.4.
When 8 is added to the collection, the median is now the average of 4 and 5, so is 4.5.
The new median is 4.5.
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<em>Comment on vocabulary</em>
<u>mean</u>: the sum of numbers divided by the number of numbers. 5 numbers with a mean of 4.4 will have a sum of 5×4.4 = 22.
<u>median</u>: the middle number of a collection of an odd number of numbers, when sorted from lowest to highest. It is the 3rd number of a group of 5 numbers. When there are an even number of numbers in the group, the median is the average of the middle two in the sorted list. Here, that means the 3rd number in the list of 5 is '4'. When 8 is added, 4 becomes one of the numbers contributing to the average that will be the new median.
<u>mode</u>: the member of the group that appears the most times. When the mode is unique, it means there are no other numbers repeated as often. Here, we know the 3rd number (of 5) is 4, so there can only be two numbers '3' in the collection. That 3 is the unique mode means no other numbers are repeated at all.
Definitely A because it is the only one that makes sense
First, we have to find how many times 10 goes into 15.
We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.
Now, we can simplify!
In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)
1*5
1*10
2*5
The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.
5/5=1
10/5=2
So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)
We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.
1*2=2
2+1=3
Keep the denominator as 2.
The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!
So, our answer is 1 1/2.
I hope I helped! :)
I believe it has 8 angles, each are 135 degrees
sorry if its wrong
Answer:
The roots are
<h3>
</h3>
Step-by-step explanation:
9x² + 54x + 82 = 0
Using the quadratic formula
That's
<h3>
</h3>
From the question
a = 9 , b = 54 , c = 82
Substitute the values into the above formula and solve
That's
<h3>
</h3>
Separate the real and imaginary parts
That's
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
