A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
The distance traveled by the particle is given by the definite integral
where
is the path of the particle. The distance is then
15. MP(5,11) S(3,5) M(x,y)
(3+x)/2 = 5 x=7
(5+y)/2 =-11 y=-27
M(7,-27) is the other point
Let's solve your equation step-by-step.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span><span><span><span>(<span>6x+3x</span>)</span>+<span>(<span>65+9+65</span>)</span></span>=180 </span>(Combine Like Terms)
<span><span><span>
9x</span>+139</span>=180</span><span><span>9x+139</span>=180
</span>
Step 2: Subtract 139 from both sides.
<span><span><span><span>
9x</span>+139</span>−139</span>=180−139</span><span>9x=41
</span>
Step 3: Divide both sides by 9.
<span><span>9x/9</span>=<span>41/9
</span></span><span> x=<span>41/9
And finally you divided by 41/9
Answer is x= 4.555556
</span></span>
What is it?
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
How do you find IQR?
<em>Step 1: Put the numbers in order. ...</em>
<em>Step 2: Find the median. ...</em>
<em>Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...</em>
<em>Step 4: Find Q1 and Q3. ...</em>
<em>Step 5: Subtract Q1 from Q3 to find the interquartile range.</em>