X=brick y=sticks
x=2y
4x+4y=771
4(2y)+4y=771
8y+4y=771
12y=771
y= 771/12
y = 64.25
x = 64.25*2=128.5
Answer:
128.5+64.25*3=321.25kg
First, we have
(1 + 2/x²) (2x - 3/x)⁵ = (2x - 3/x)⁵ + 2/x² (2x - 3/x)⁵
In the expansion of (2x - 3/x)⁵, there is no x² term. Each term takes the form

where c is a binomial coefficient, and i is taken from the range {0, 1, 2, 3, 4, 5}. Looking at just the power of x in the product, we have

and 5 - 2i = 1 only if i = 2. By the binomial theorem, this term is given by

In the other expansion, we have an additional factor of 1/x², so that any given them in the expansion contains a power of x of the form

and 3 - 2i = 1 only if x = 1. This term in the expansion is

Then the coefficient of the x term in the whole expansion is 720 - 480 = 240.
Answer:
answer is c
Step-by-step explanation:
Answer:the number of children that swam in the public pool that day is 222
the number of adult that swam in the public pool that day is 259
Step-by-step explanation:
Let x represent the number of children that swam in the public pool that day.
Let y represent the number of adult that swam in the public pool that day.
On a certain hot summer day, 481 people used the public swimming pool. This means that
x + y = 481
The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that
1.25x + 2.25y = 860.25 - - - - - - - -1
Substituting x = 481 - y into equation 1, it becomes
1.25(481 - y) + 2.25y = 860.25
601.25 - 1.25y + 2.25y = 860.25
- 1.25y + 2.25y = 860.25 - 601.25
y = 259
Substituting y = 259 into x = 481 - y, it becomes
x = 481 - 259
x = 222
Answer: 0.9938
Step-by-step explanation:
Let x be the random variable that represents the daily revenue at a university snack bar.
As per given , we have
,
and n= 100
Using formula
,
z-score for x= 2600

The probability that the average daily revenue of the sample is higher than $2600 :
[P(Z>-z)=P(Z<z)]

Therefore, the probability that the average daily revenue of the sample is higher than $2600 = 0.9938