Firstly, we have to find the mean. The mean is simply the average of the numbers, which we find by adding each number in the sequence and then dividing that result by the total amount of numbers.
<em>13.3 + 14.3 + 15.3 + 16.3 + 17.3 = 76.5</em>
<em>76.5 / 5 = 15.3
</em>Okay, so our average is 15.3.
<em>
Now, </em>we have to subtract the mean from each number and then square the result.
<em>(13.3 - 15.3)^2 = 4</em>
<em>(14.3 - 15.3)^2 = 1</em>
<em>(15.3 - 15.3)^2 = 0</em>
<em>(16.3 - 15.3)^2 = 1</em>
<em>(17.3 - 15.3)^2 = 4
</em>Now we have to find the mean of those numbers!
<em>
4 + 1 + 0 + 1 + 4 = 10
10 / 2 = 2
</em>Finally, we take the square root of that number and we have our standard deviation. =)<em>
</em>
Answer:
P=3
Step-by-step explanation:
To solve for p, we can simply substitute his answer in place of x, changing the equation to 4(-5+p)=12. Now we just have to solve it.
1. Apply the distributive property. We can do this by multiplying 4 by -5 and p. Our equation is now -20+4p=12
2. Add 20 on both sides. Since the 20 is negative, we would add it on both sides, canceling out the -20 and leaving us with the equation 4p=32.
3. Now divide 12 by 4. We want to get p alone by itself, so we divide both sides by 4, leaving us with the solution p=3.
Hope this helps! :D
Answer:
sq. units.
Step-by-step explanation:
The given function is
We need to find the area between x-axis and the given function from x=2 to x=5.
Left Riemann sum formula of area:
For given question,
Now,
Therefore, the required area is sq. units.
Answer:
-3x²-5xeˣ-eˣ
-3eˣx²-11eˣx-6eˣ
Step-by-step explanation:
I'm going to go by the picture and not what you wrote in your title.
To find the derivative of this we have to apply the product rule
(a*b)'=
a'*b+a*b'
We plug in our numbers and get
(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'
Now we can evaluate the derivatives and simplify
(-3x²+x-2)'= -6x+1
eˣ'=eˣ
which means we have
(-6x+1)*eˣ+(-3x²+x-2)*eˣ
Simplify
-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ
Combine like terms
-3x²eˣ-5xeˣ-eˣ
Now we just need to find the derivative of this
We can apply the same product rule as we did before
(-3x²eˣ)'
Let's start by factoring out the -3 to get
-3(x²eˣ)'
which is equal to
-3(x²eˣ'+x²'eˣ)
Compute this and get
-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ
Now let's find the derivative of the second part
(-5xeˣ)'
-5(x'eˣ+xeˣ')
-5(eˣ+xeˣ)
-5eˣ-5xeˣ
Which means we have
(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ
Combine like terms and get
-3eˣx²-11eˣx-6eˣ
The ratio of major to minor arc = 2 : 1
What is a Circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
Calculation
The length of an arc (L) with center angle θ is given by:
L = (θ/360) * 2πr
where r is the radius.
Putting the values in the above formula.
For the major arc:
L = (240/360) * 2πr
For the major arc:
l = ((360-240)/360) * 2πr
l = (120/360) * 2πr
The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1
The ratio of major to minor arc = 2 : 1.
Learn more about the circle here:
brainly.com/question/15125799
#SPJ1
