Answer:
Each magazine costs 3.90
Step-by-step explanation:
Take the total cost and divide by the number of magazines
46.80/12
3.90
Answer:
21 / 143
Step-by-step explanation:
Given that:
Number of Eastern conference reps = 8
Number of western conference rep = 7
Probability of selecting 3 from Eastern reps and 2 from western reps
Probability = required outcome / Total possible outcomes
Total possible outcomes:
selection to be made = 3+ 2 = 5
Total Number of players = 8 +7 = 15
Total possible outcomes
Using combination formula :
nCr = n! / (n-r)!r!
15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003
Total possible outcomes = 3003
Required outcome :
8C3 * 7C2
8C3 = 56 ; 7C2 = 21
8C3 * 7C2 = 56 * 21 = 1176
required outcome / Total possible outcomes
= 1176 / 3003
= 21 / 143
The expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
Given an integral
.
We are required to express the integral as a limit of Riemann sums.
An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.
A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.
Using Riemann sums, we have :
=
∑f(a+iΔx)Δx ,here Δx=(b-a)/n
=f(x)=
⇒Δx=(5-1)/n=4/n
f(a+iΔx)=f(1+4i/n)
f(1+4i/n)=![[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}](https://tex.z-dn.net/?f=%5Bn%5E%7B2%7D%28n%2B4i%29%5D%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D)
∑f(a+iΔx)Δx=
∑
=4
∑
Hence the expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
Learn more about integral at brainly.com/question/27419605
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<span>First step is find total height of all the figures expressed in feet:
Liem: 6 ft 2 inch = 6,167 ft
Eli: 5 ft 9 inch = 5,75 ft
Faith 6 ft
Simon: 5 ft 4 inch = 5,34 ft
To calculate the total height we need to know that 12 inches are 1 foot
6’2”+5’9”+6+5’4”= 22 ft 15 inch = 23 ft 3 inch
Another way is by adding decimal figurel:
6,167 + 5,75 + 6 + 5,34 = 23,25 feet
Then we know that 3 feet are 1 yard, so then total height is:
23,25 / 3 = 7,75 yards</span>
Answer:
40%-50%
Step-by-step explanation:
Because they are guessing and might fail half of the test or more.
I hope this helps