Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
Answer:
his speed would be 4.5 miles per hour
Step-by-step explanation:
if you do the distance divided by the hours you will get the answer.
22.5/5=4.5
Answer:
40 miles
Step-by-step explanation:
10X4
Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.
And, the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.
Which is shown by the below inequality,
----------(1)
And,
--------(2)
By putting S = 10 and L = 4 in the inequality (1),

⇒
(true)
Thus, for the values S = 10 and L = 4 the inequality (1) is followed.
Again By putting S = 10 and L = 4 in the inequality (2),

⇒
( false)
But, for the values S = 10 and L = 4 the inequality (2) is not followed.
Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
We have proportion p = 50/100 = 0.50
Probability of success = 1-0.50 = 0.50
To conduct simulation, let's assume experiment is to be done 10 times
1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.
2. We get a random sample and get the size of people who support an against smoking with kids in the car.
3. We repeat this process after drawing sample and also get the number of those in support of ban.
4. After getting n, we find proportion.