Answer:
60.458
Step-by-step explanation:
it says the answer lol
A farmer wants to fence in a rectangular field of livestock. The boundary for one side of the field is a long, straight river. No fencing is needed on this side. For the remaining three sides, he has 400 meters of fencing available. What are the dimensions of the largest rectangular area that can be formed
Answer:
To get maximum area, the dimensions will be;
l = 200 and b = 100
Step-by-step explanation:
Given the data in the question;
No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.
now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x
as shown in the image below;
so,
Area of rectangle = (400 - 2x) × x = 400x - 2x²
now, to maximize area 'A', we will make A' = 0
⇒ 400 - 2(2x) = 0
400 = 4x
x = 400/4 = 100
so
⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200
∴ Maximum area = ( 400 - 2x) × x
= 200 × 100
= 20000 m²
∴ To get maximum area, the dimensions will be;
l = 200 and b = 100
What is the image of the point (2,8) after a rotation of 270° counterclockwise about
the origin?
Answer:
(8,-2)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise. Rotate on a graph.
Find the factors of a trinomial: 121m^2-49m^2
Answer:
alam ko ang tamat mali ngonit akot sabogna
given triangle ABC if angleA=25degrees, angle B=75degrees and a=14 what is the length of side b to the nearest whole number
9514 1404 393
Answer:
b = 32
Step-by-step explanation:
The law of sines tells you ...
b = a·sin(B)/sin(A)
b = 14·sin(75°)/sin(25°) ≈ 31.998
b ≈ 32 . . . . units
Pleasee helpp Which one??
Answer:
Constant
Step-by-step explanation:
there numbers with no variables next to them and coefficient's do. :)
Answer:
constant
Step-by-step explanation:
]FIRST PERSON THAT ANSWERS CORRECTLY WILL GET BRAINLIST AND 80 POINTS!!!!
write an expression that is equivalent to 8 using each of the following numbers and symbols once in the equation: 7, 7, 7, 2, (the 2 is an exponent) +, (), and, ÷
Answer:
if u carry the 7 by7 by 7 by 2 with devizon
Rewrite the radical as a rational exponent.
Find a coterminal angle between 0 and 360 degrees.
525°
A) 35°
C) 145°
B) 165°
D) 285°
Which graph best represents the equation -4x + 5y = 8? A. B. C. D.
Answer:
It will look like this
Step-by-step explanation:
The equation of line y = 4 / 5x + 8 / 5 can be represented on the basis of coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph attached below.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
-4x + 5y = 8
Write the line in slope intercept form as shown below,
5y = 4x + 8
y = 4 / 5x + 8 / 5
Put the random values of x and find y,
y = 4 / 5 × 0 + 8 / 5 (when x = 0)
y = 8 / 5
y = 4 / 5 × 1 + 8 / 5 (When x = 1)
y = 12 / 5
y = 4 / 5 × 10 + 8 / 5 (When x = 10)
y = 48 / 5
Plot the coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph and mark the points, joining all the points to get the line.
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help please!!!
given that a^b=x, what is a^b+2?
thanks!! <33
Answer:
xa^2
Step-by-step explanation:
I thought about it for a bit and came up with this:
if you expand a^(b+2) it becomes a^b * a^2
so replace a^b with x.
xa^2
The opposite of 1.5 is ? So the opposite 1.5 ? Which is equal to the opposite of ? Which is ? The second statement is ?
Preform the indictated operation
15-12
Answer:
3
Step-by-step explanation:
15 - 12 = 3
12 + 3 = 15
15 - 3 = 12
All four-sided figures are parallelograms?
Answer:
Yes, all four-sided figures are parallelogram.
please help
wahat is the slope of the line !?!?
[tex]5 - 5 \times 2 + 11[/tex]
Answer:
6
Step-by-step explanation:
We use BODMAS/BIDMAS here.
First, we do 5 × 2, as multiplication comes before subtracting and adding.
5 × 2 = 10
Now we can just add and subtract.
5 - 10 = -5
-5 + 11 = 6
Solve the equation In (x-4)=1
Answer:
The answer is x = 5
Step-by-step explanation:
1) Remove parentheses.
[tex]x - 4 - 1[/tex]
2) Add 4 to both sides.
[tex]x = 1 + 4[/tex]
3) Simplify 1 + 4 to 5.
[tex]x = 5[/tex]
Therefor, the answer is x = 5.
Answer:
X = 5
Step-by-step explanation:
This is an example of a basic algebraic equation! The explanation is below
[tex](x-4)=1\\x-4=1\\x-4+4=1+4\\x=5[/tex]
Above, we simply removed the parenthesis, added four to both sides in order to cancel out "-4", and ended up with 5 = x. We know we are correct because 5 minus 4, really does equal one!
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Whitus v. Georgia In the classic legal case of Whitus v. Georgia, a jury pool of 90 people was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people selected, 7 were minorities. Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected. Is the result of 7 m
Answer:
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Jury of 90 people:
This means that [tex]n = 90[/tex]
27% were minorities.
This means that [tex]p = 0.27[/tex]
Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.
This is:
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]
[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]
[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]
[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]
[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]
[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]
[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]
[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]
So
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
Simplify:
4g + (4- 7r) 6g
Answer:
14g x (2-3r)
Step-by-step explanation:
The inspection division of the Lee County Weights μ. and Measures Department is interested in estimatin actual amount of soft drink that is placed in 2- to at the local bottling plant of a large nationally tles known soft-drink company. The bottling plant has ision that the standard deviation for 2-liter bottles is 0.05 liter. A random sanm ple of 100 2-liter bottles obtained from this botting plant indicates a sample average of 1.99 liters Section 8 (a) Set up a 95% confidence interval estimate of the (b) Does the population of soft-drink fill have to be (c) Explain why an observed value of 2.02 liters is not true average amount of soft drink in each bottle. normally distributed here? Explain. 8. unusual, even though it is outside the confidence interval you calculated. uppose that the sample average had been 1.97 liters. What would be your answer to (a)?
Answer:
hello your question is poorly written attached below is the complete question
answer
a) ( 1.9802 , 1.9998 )
b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.
c) A single value of 2.02 is not unusual
d) (1.9602, 1.9798)
Step-by-step explanation:
A) set up 95% confidence interval estimate
std = 0.05 liter
average ( mean ) X = 1.99 liters
n = 100
95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )
= 1.99 ± 1.96 ( 0.05 / √100 )
= ( 1.9802 , 1.9998 )
B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X is required instead
C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )
D) when the sample average ( X ) = 1.97
confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )
= 1.97 ± 1.96 ( 0.05 / √100 )
= (1.9602, 1.9798)
There are four sub-parts in the question, whose answers are mentioned below:
Given information:
Mean of sample = [tex]\overline{x}[/tex] =1.99
Standard deviation of population= [tex]\sigma[/tex] = 0.05
Size of sample = n = 100
Part a: Setting 95% confidence interval
[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]
Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.
Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.
Part d: If sample average be 1.97, then CI will be as follows:
[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]
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Question 1 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Elmhurst has 80,000 people, how many people live in Jackson Heights?
Question 2 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Jackson Heights has 80,000 people, how many people live in Elmhurst?
Answer:
1) Jackson Heights population = 100,000
2) Elmhurst population = 64,000
Step-by-step explanation:
1) 80,000 x 1.25 = 100,000
2) 80,000/1.25 = 64,000
imeter, Area, Dimensions - Real World Hacice estions Notes/Examples 1. A triangular garden has sides measuring 14 feet, 17 feet, and 28 feet. If Cody is laying a brick ETER border around the garden, how many feet of brick will he laya uchs Hihe rectangular path
What is the value of x?
A triangle. One angle is labeled x degrees. A second angle is labeled 53 degrees. The third angle is labeled 77 degrees.
Enter your answer in the box.
x =
GH has endpoints at -7 and 9 on a number line
Answer:16
Step-by-step explanation:
well if your asking the space from one athinther there it is
If you know how to do this please help me.
Answer:
Undefined or no values (assuming no negative zero)
Step-by-step explanation:
The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.
the top fully says solve the following system of equations. please help!!
Answer:
x = - 4, y = - 1
Step-by-step explanation:
Given the 2 equations
3x + 7y = - 19 → (1)
7x - 4y = - 24 → (2)
Multiplying (1) by 4 and (2) by 7 , then adding will eliminate the y- term
12x + 28y = - 76 → (3)
49x - 28y = - 168 → (4)
Add (3) and (4) term by term to eliminate x
61x + 0 = - 244
61x = - 244 ( divide both sides by 61 )
x = - 4
Substitute x = - 4 into either of the 2 equations and solve for y
Substituting into (1)
3(- 4) + 7y = - 19
- 12 + 7y = - 19 ( add 12 to both sides )
7y = - 7 ( divide both sides by 7 )
y = - 1
(-8x^4y^2)^2*2x^2y^6 divided by32x^8y^3
Answer:
The answer is 4x^2y^4y^3 simplified to 4x^2y^7
Step-by-step explanation:
If y varies directly as x, and x=9 when y=15, find y when x=33
Answer:
If y varies directly as x, and x = 9 when y = 15, find y when
x = 33
Step-by-step explanation:
PLEASE HELP! YOU GET 30 POINTS IF YOU HELP!!
Which inequality is the solution to 20 + 2 < x/3 - 8
A) x > 10
B) x > 42
C) x > 90
D) x > 114
NO LINKS ANSWER PLSSS!!!
Answer:
C
Step-by-step explanation:
Answer:\A) x > 10
Step-by-step explanation:
Hope this helps!!
A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?
Enter your answer as a fraction.
Male Female Total
Orange 12 50 62
Green 5 73 78
Total 17 123 140
Provide your answer below:
$$
Answer:
1/28
Step-by-step explanation:
The probability that a male student picks green is 5 / 17
The randomly selected participant is a male which means that you should be looking at the probability that a male picks green not that a student picks green.
The probability that a male picks green is:
= Number of males who prefer green / Number of males in total
There are 17 males in total and 5 of them prefer green. Probability that a male picks green is:
= 5 / 17
In conclusion, the probability that a male picks green is 5 / 17.
Find out more at https://brainly.com/question/14682217.
HELPPP PLEASE DUE IN 20 minutes
Answer:
i think its a trick question
Step-by-step explanation:
theres no way theres a righr answer the 20$ on is always ahead