P-4=2, P=6
5(6)-20=30-20=10
<u><em>Step-by-step explanation:</em></u>
<u><em>Below are an example using the data values</em></u>
<u><em>{ 11 , 10 , 17 , 18 }</em></u>
<em><u>Step 1: What is MAD?</u></em>
MAD is the average distance between each data value. <MAD> is used to see variation of the data. The larger the MAD, the further apart the numbers are.(and vice versa)
<em><u>Step 2: Find the mean</u></em>
11 + 10 + 17 + 18 = 56
56/4 = 14
<u><em>Step 3: Formula to find the Absolute Deviations or distance of the data value to the mean</em></u>
Find the absolute value of the difference between each data value and the mean: | data value – mean | or I mean - data value I
<u><em>Step 4: Find the Absolute Deviations</em></u>
14 - 11 = 3
14 - 10 = 4
17 - 14 = 3
18 - 14 = 4
<em><u>Step 5: FInd the mean of the Absolute Deviations or MAD</u></em>
3 + 4 + 3 + 4= 14
14/4 = 3.5
<h3><u><em>
Hope this helps!!!
</em></u></h3><h3><u><em>
Please mark this as brainliest!!!
</em></u></h3><h3><u><em>
Thank You!!!
</em></u></h3><h3><u><em>
:)
</em></u></h3>
Answer:
Choice C
Step-by-step explanation:
The quadrant in which an angle lies determines the signs of the trigonometric functions sin, cos and tan
If an angle Θ lies in quadrant IV, cos(Θ) is positive and both sin(Θ) and tan(Θ) are negative
Two of the trigonometric identities we can use are
1. and
2.
Using identity 1, we can solve for cos(s) and cos(t)
Since both angles lie in quadrant IV, both cos(s) and cos(t) must be positive so we only consider the positive signs of both values
Using identity 2, we can solve for cos(s-t)
Multiplying numerator and denominator of the first term by gives us the final expression as
So
1/2x+2=2/3x
convert to common fraction
1/2=3/6
2/3=4/6
3/6x+2=4/6x
subtract 3/6x from both sides
2=1/6x
multiply boh tisdes by 6
12=x
the tank can hold 12 gallon
Answer:
D) infinitely many solutions.
Step-by-step explanation:
1) Cancle 4y on both sides.
2) Simplify 5 + 2 to 7.
3) Since both sides equal, there are infinitely many solutions.
hence, the answer is option D) infinitely many solutions.