Part a: Area of habitat - Area of field = Area of mowed portion.
Part b: Area of mowed portion: 4x(b - x)
Explain the term area of the square?The maximum number of unit squares forming a square is referred to as the square's area. In other terms, it is described as the area that the square occupies.For the stated question:
Part a:
The complete area is given as: Area of habitat.
The area kept for birds: Area of mowed portion
Central unmowed portion: area of field
Thus,
Area of habitat - Area of field = Area of mowed portion
Part b: Area of mowed portion: 4x(b - x)
Proof:
b² - (b - 2x)² = [b - (b - 2x)] [b + (b - 2x)]
= [b - b + 2x] [b + b - 2x]
= (2x)(2b - 2x)
= 4x(b - x)
Thus, the Area of mowed portion: 4x(b - x).
Know more about the area of the square, here
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At a party, the amount of people who ate chicken wings was 9 less than 3 of the total
number of people. The number of people who ate chicken wings was 2. Write and solve an equation
to find the number of people at the party. Let x represent the number of people at the party. Use pencil
and paper. Write a one-step equation that has the same solution.
Answer:
3-9= the number of people who at chicken wings and the number of people who ate chicken wings were 2. By the way i dont know if did my math absolutley correct. sry:(
Is 5.3 a possible solution to x > 5 ?
Yes 5.3 is greater than 5
5.3 > 5
Answer:
yes, it is.
Step-by-step explanation:
its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!
Some biologists believe the evolution of handedness is linked to complex behaviors such as tool-use. Under this theory, handedness would be genetically passed on from parents to children. That is, left-handed parents would be more likely to have lefthanded children than right-handed parents. An alternate theory asserts that handedness should be random, with left- and right-handedness equally likely. In a recent study using a simple random sample of n  76 right-handed parents, 50 of the children born were right-handed. ( pˆ =0.658 .) Suppose handedness is a random occurrence with either hand equally likely to be dominant, implying that the probability of a right-handed offspring is p =0.50.
Required:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
Answer:
a) Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b) 0.5 = 50% probability of observing a sample proportion of at 0.658.
Step-by-step explanation:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
We need that:
np >= 5
n(1-p) >= 5
Sample of 76, 50 of the children were born were right-handed.
So [tex]n = 76, p = \frac{50}{76} = 0.658[/tex]
np = 76*0.658 >= 5
n(1-p) = 76*0.342 >= 5
Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
This is the mean, so 50% below and 50% above.
0.5 = 50% probability of observing a sample proportion of at 0.658.
express 75 as prodict of prime factor
75 = 1 x 75, 3 x 25,
or
75 = 3 xx 5^(2)
What do you get when you distribute the -4 to the (11 - 2x)
Question 3 of 10
Which of the functions below could have created this graph?
O A. F(x)= x'- *°-38° +3
O B. F(x)== - 5x4 - 4x +5
O c. F(x)=x* +2x +5
O D. F(x) = -x"' +52° + 4
Answer:
The correct answer is A.
Step-by-step explanation:
From the picture you provided, you choose option A, f(x) = x^7 - x^3 - 3x^2 + 3 . Hope that helped :)
The functions that could have created this graph is f(x) = x⁷-x³-3x²+3
What is a function?A function is an equation for which any x that can be put into the equation will produce exactly one output such as y out of the equation.
Given is a graph, we need to find its equation,
So, the graph is U-shaped, therefore, the leading coefficient is, a > 0
also, the graph does not have a zero at the origin,
The function which could possibly create the graph is the option; A.
F(x) = x⁷-x³-3x²+3
The leading coefficient is 1 > 0
The function has no factors of x = 0
The function has a linear factor.
Hence, the functions that could have created this graph is f(x) = x⁷-x³-3x²+3
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Choose the inequality that represents the following graph.
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
It is given that y =x^2. If x is increased by 10%, find the percentage change in y.
Answer:
Step-by-step explanation:
y = x^2
X increased by 10% = 1.10x
(1.10x)^2 = 1.21x^2
y increases by 21%
Identify the coefficients and constants in the expression. 2x – y + 5x
find the meassure of the missing angle
Step-by-step explanation:
Side A is 4
Side B is 6
Perimeter is 28
1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 6 , then 6² = 36
4² + 3² = 16 + 9 = 25
Since 4² + 3² ≠ 6² then triangle is not right.
The probability of a head is 0.27. The coin is thrown 200 times. Write an
estimate for the amount of tails
Answer:
The estimate for the amount of tails is 146.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability of a head is 0.27.
This means that the probability of tails is [tex]p = 1 - 0.27 = 0.73[/tex]
The coin is thrown 200 times.
This means that [tex]n = 200[/tex]
Write an estimate for the amount of tails
This is the expected value, so:
[tex]E(X) = np = 200*0.73 = 146[/tex]
The estimate for the amount of tails is 146.
HELP ME ANSWER THIS PLEASE!!!!!
Complete the proof that m
Find m
3x-6
8x+4
130
Answer:
<A = 30°
The steps are given in the pic. Hope it will help :)
find y and round to the nearest tenth. thank you
Answer and Step-by-step explanation:
31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.
That means we can solve for y using the trigonometric function of tangent.
[tex]tan(31) = \frac{y}{600}[/tex]
Multiply by 600 to both sides, then use a calculator to solve.
600(tan(31)) = x
x = 360.5163714
x ≈ 360.5 is the answer.
2)Jeremy buys 5 pencils and a notebook. If each
pencil costs $0.59 and a notebook is $2. How
much will Jeremy pay all together?
Answer:
$4.95
Step-by-step explanation:
Answer:
4.59
Step-by-step explanation:
0.59x5=$2.95
2.95+2=4.59
1. 3x = 18
2. 3 + x = 18
3. 17 - 6 = x
Help please
Answer:
1. 6
2. 15
3. 11
Step-by-step explanation:
A server sees 90 customers over 6 hours. How many customers did they see in 1 hour? *
Answer:
They saw 15 customers per hour.
Step-by-step explanation:
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
1)105°
2) 45°
3)63°
4)108°
5)68°
Step-by-step explanation:
Hope this helps! :)
I need help!
Benjamin had 1/3 of a can of paint left after he painted his room. Instead of throwing it away, he decided to use 3/4 of the remaining paint to make a picture for his sister. How much of the paint will he use to make the picture for his sister?
Answer:
1/4 of a can
Step-by-step explanation:
He had 1/3 of a can.
He used 3/4 of the 1/3 of the can.
He used 3/4 * 1/3 of a can.
3/4 * 1/3 = 3/12 = 1/4
Answer: 1/4 of a can
Find the Area Please
-2 3 8 у 126 12 Is the relationship linear, exponential , neither?
Answer: It neither
Step-by-step explanation:
because x part is linear while y part is neither linear or exponential.
They both are supposed to have the same relationship since They are not then it’s neither linear or exponential.
Hope it help.
Does this graph show a function? Explain how you know.
The answer is B!
Answer:
The answer to this question would be B.
Step-by-step explanation:
Tysm for the points! :D
Answer:
yup b
Step-by-step explanation:
How would the triangle be classified?
Answer:
B. Isosceles right triangle.
Step-by-step explanation:
The triangle given has two sides that have equal lengths. It also has a right angle.
An Isosceles triangle has two equal side lengths.
Therefore, since the triangle above has a right angle and has two equal side lengths, based on the side lengths, it can can be classified as an isosceles right triangle.
Need help ASAP. Just solve what you can and make sure to tell me what is what.
100 POINTS
Answer:
9x3+5x2=37
8-(7-5)^2+8=12
10-3+5+5x4=32
ill solve rest in comments
9x3+5x2=37
8-(7-5)^2+8=12
10-3+5+5x4=32
HELP PLEASEEEE
The larger of two number is ten more than three times the smaller number The sum of the two numbers is fifty four
Answer:
hasta no se pero nimodoa esta bien adiós baybau
What is the diameter or the radius?
Please help
Answer:
Radius, Diameter and Circumference
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
:)
Answer:
Radius = 8.7 cm
Step-by-step explanation:
The height and hypotenuse of the triangle is provided, so all we have to do is use the Pythagorean Theorem. [tex]\sqrt{15^{2}-12.2^{2}}[/tex] and this yields the answer.
1000003842638476238476+2837428734682764283746
Answer:
3.8374326e+21
Step-by-step explanation:
id.k goo.gle said this
SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2
Answer:
36
Step-by-step explanation:
The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!