Determine the mode(s) of the data 2, 2, 2,3,5,5, 6, 7, 8, 8, 8, 9, 10.
Genrish500 [490]
To find the mode, put all the numbers in order from least to greatest, then count how many times you see a number. The number you see the most is the mode. In this problem, we have more than one mode, we have two. The number two appears three times and so does number eight. Having two modes is called bimodal, and having more than two modes is called multimodal. So we have a bimodal of two and eight from this data.
Answer:
x² = 35
Step-by-step explanation:
This expression as an equation is x² = 35
<em>x</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>power</em><em> </em><em>is</em><em> </em><em>x²</em>
<em>Therefore</em><em> </em><em>x</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>power</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>35</em><em> </em><em>as</em><em> </em><em>an</em><em> </em><em>equation</em><em> </em><em>is</em><em> </em><em><u>x²</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em>
We are given this inequality,

We will follow these steps to solve it:
Step 1:
First let us bring 10 to the left side.
10 is in addition on right, so we apply opposite operation of addition that is subtracting 10 from left side, we get


Step 2:
Next we have to eliminate -4 which is in multiplication with x on the right side.
So applying opposite operation of multiplication that is dividing both sides by -4.
We have to consider here that when we divide or multiply with a negative the sign of inequality reverses, that is ≥ becomes ≤ and vice versa.

x≥4
Answer is last option x≥4.
Answer:
Integers are:
14, 16, 18
Step-by-step explanation:
Let three consecutive even integers be:
x (smallest)
x + 2 (second)
x + 4 (third)
According to given conditions:
x + 3(x + 2) = 30+ 2(x + 4)
By simplifying:
x + 3x + 6 = 30 + 2x + 4
By adding like terms
4x + 6 = 34 + 2x
Now taking terms with x on left side and constants on right
4x - 2x = 34 - 6 (sign of transferred terms will be changed)
2x = 28
Dividing both sides with 2
x = 28/2
x = 14
So the consecutive integers will be:
x = 14
x + 2 = 14 + 2= 16
x + 4 = 14 + 4 = 18
I hope it will help you!