The answer to this question:
<span>north and south sides 16ft
east and west sides 8ft
</span>
In this question, the east and west fencing cost is $4/ft but the south and north fencing cost is $2/ft. The cost is cheaper for fencing north and south side which cost half of the east and west side. The perimeter is made by adding the south, north, east and west side.
If x = north and south fencing and y= is east and west side, then you can get this equation
cost= (south+north) * $2 + (east+west)*$4
128=(x+x) * 2 + (y+ y) * 4
128= 4x + 8y
32= x+ 2y
x= 32-2y
The area is count by multiplying the width and length, which was x and y in this question. The formula should be:
area= length * width
area= x * y
area= (32-2y) * y
area= 32y - 2y^2
Then, you need to find the value of y needed for the maximum area.
32y- 2y^2
32 - 2*2y=0
32= 4y
y= 8
If y=8 then
x= 32-2y
x= 32- 16= 16
Answer:
the correct answer is 7717.5
Step-by-step explanation:
First, let's find out how many 5/6 pound bags he can fill with on 2 pound bag.
2 divided by 5/6
2 x 6/5
2.4
He can fill 2.4 bags with one 2 bag.
Now we just need to multiply 2.4 by a number that will make it a whole number. You can use the guess and check method starting with 2 to figure your answer out, but 2.4 x 5 = 12 which is a whole number.
This means that Chad needs to buy 5 of the 2 pound bags to fill 12 of the 5/6 pound bags, and he will not have peanuts leftover
Answer:
c. 0.0142
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Solution to the problem
We want this probability:
The question on this case is ".Find the probability that the average price for 30 gas stations is less than $4.55". So then our value for n=30.
If we apply the formula for the z score to our probability we got this:
And using the normal standard table or the following excel code we calculate the probability "=NORM.DIST(-2.19,0,1,TRUE)"
Answer:
D
Step-by-step explanation:
10×9×8×26×25=468000