Answer:
243 people did not vote
Step-by-step explanation:
First you would calculate the number of people who DID vote:
27% + 43% = 70% (this is how many people voted)
you would then subtract to find the percent of people who DIDNT vote:
100% - 70% = 30%
Finally you would convert the % into an actual number.
0.30 (or 30%) x 810 members = 243 members
So, 243 members didn't vote.
Hope this helps!
Answer:
10x-10
x-width
Step-by-step explanation:
width-x
4x-5-length
formula for P of rectangle- (a+b)2
(x+4x-5)2
(5x-5)2
=10x-10
If order mattered, then there would be 6*5*4*3 = 30*12 = 360 different ways to form the committee. However, no single member outranks the other. Each member has equal ranking. So order does not matter.
Since order does not matter, we must consider all of the ways to arrange a single group of 4 people. That is 4! = 4*3*2*1 = 24 ways. We overcount by a factor of 24 when order doesn't matter which is why we divide the previous result (360) by 24 to get 360/24 = 15
Answer: 15
Note: you can use the combination formula n C r = (n!)/(r!*(n-r)!) with n = 6 and r = 4 to get the same answer
Answer:
32.66 units
Step-by-step explanation:
We are given that
Point A=(-2,-4) and point B=(1,20)
Differentiate w.r. t x
We know that length of curve
We have a=-2 and b=1
Using the formula
Length of curve=
Using substitution method
Substitute t=12x+14
Differentiate w.r t. x
Length of curve=
We know that
By using the formula
Length of curve=![s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7Bt%7D%7B2%7D%5Csqrt%7B1%2Bt%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%28t%2B%5Csqrt%7B1%2Bt%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=![s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7B12x%2B14%7D%7B2%7D%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%2812x%2B14%2B%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=
Length of curve=
Length of curve=
Answer:
4 consecutive odd numbers are 111, 113, 115 and 117.
Step-by-step explanation:
Let the first odd number be x.
So the next odd number will be (x+2)
and the next two consecutive odd numbers are (x+ 4) and (x+6)
According to question,
The sum of all four odd consecutive numbers = 456
⇒ x + (x+ 2) + (x+4) + (x+6) = 456
or, 4x + 12 = 456
⇒ 4x = 456 - 12 = 444
⇒ x = 444/4 = 111
Hence, the first odd number = 111
Second odd number = 111+ 2 = 113
Third odd number is x + 4 = 111 + 4 = 115
And last odd number is x + 6 = 111 + 6 = 117
So, 4 consecutive odd numbers are 111, 113, 115 and 117.
