There are 4 times as many chickens as ducks, there are 72 more chickens than ducks how many chickens and ducks are there

Answer:

Step-by-step explanation:

Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

\(P(w=12) = p(w)^{12}\)

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

\(P(w=12) = 0.90^{12}\\P(w=12) =0.2824\)

The probability is 0.2824.

(b) for p = 0.50

\(P(w=12) = 0.50^{12}\\P(w=12) =0.0002441\)

The probability is 0.0002441.

Each length should be dragged to the correct location on the triangle as follows;

In Mathematics and Geometry, a 30-60-90 triangle is a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 4√3

Hypotenuse = 2 × 4√3

Hypotenuse = 8√3.

Opposite side = √3 × 4√3

Opposite side = 12

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

6.47secs

Step-by-step explanation:

Given the height of the rocket modelled by the equation;

h = – 16t^2 + 102t + 10, where ‘t' is the time in seconds

The rocket will hit the ground at h = 0

Substitute into the equation

– 16t^2 + 102t + 10 = 0

Multiply through by -1

16t^2-102t-10 = 0

t = 102±√(102)²-4(16)(-10)/2(16)

t = 102±√10404+640/32

t = 102±√11044/32

t = 102 ±105.09/32

t = 102+105.09/32

t = 207.09/32

t = 6.47secs

Hence it will take 6.47secs for the rocket to hit the ground

Therefore, the correct answer is C - The graph of F is narrower than the graph of P but has the same orientation.

The function f(x) = p(-x/2) is obtained from the quadratic parent function p(x) by first reflecting the graph of p(x) over the y-axis (due to the negative sign in front of x), and then stretching it horizontally by a factor of 2 (due to the 1/2 coefficient inside the parentheses). Since stretching a function horizontally makes it narrower, the graph of f(x) is narrower than the graph of p(x). However, reflecting a function over the y-axis does not change its orientation, so the orientation of f(x) is the same as that of p(x).

Therefore, the correct answer is C - The graph of F is narrower than the graph of P but has the same orientation.

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The measure of ∠JMK =52° and ∠KML = 38°.

Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove:  is a right angle.

Proof:

Statements  Reasons

1. m∠JMK = 52°                  Given

2. m∠KML = 38°                  Given

3. m∠JMK + m∠KML = m∠JML

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. 52° + 38° =m∠JML            Substitution property of equality

5. 90° = m∠JML                    Simplification

6. ∠JML is a right angle.      Definition of right angle

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To pair the boys and girls into five pairs, we can use the concept of combinations.  the total number of ways to pair the boys and girls into five pairs \(n^2 * (n-1)^2 * (n-2)^2 * (n-3)^2 * (n-4)^2.\).

First, let's determine the number of ways to select one boy and one girl for the first pair. Since there are "more than 100" boys and girls, let's assume there are n boys and n girls. We can select one boy from n boys and one girl from n girls, giving us n * n = n^2 ways to choose the first pair.

For the second pair, we need to account for the fact that one boy and one girl have already been chosen for the first pair. So, for the second pair, there will be (n-1) boys and (n-1) girls to choose from. This gives us \((n-1) * (n-1) = (n-1)^2\)ways to select the second pair.

Similarly, for the third, fourth, and fifth pairs, the number of ways to select a boy and a girl will be\((n-2)^2, (n-3)^2, and (n-4)^2\)respectively.

To find the total number of ways to pair the boys and girls into five pairs, we multiply the number of ways for each pair: \(n^2 * (n-1)^2 * (n-2)^2 * (n-3)^2 * (n-4)^2.\)

The answer is\(n^2 * (n-1)^2 * (n-2)^2 * (n-3)^2 * (n-4)^2.\)

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Answer:

1.2 books per month

12/10

Step-by-step explanation:

Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.

The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

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Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

Answer:

2.1 hr

Step-by-step explanation:

[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr

Answer:

h = 9 yds,       assuming his treehouse is a rectangular shape. 9 yds seems pretty high.

Step-by-step explanation:

area = bh

108 yd³ = 12 yd² x h

h = 108/12 = 9 yds

 The prism is 9 yards tall

What is the Volume of Rectangular Prism?

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.

Given: base of the treehouse= 12 yards²

volume of the treehouse = 108 yards³

To find : how tall is the prism ( height of the treehouse) = ?

Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,

where "l" stands for base length

"w" for base width.

"h" refers to the prism's height.

Steps for calculating the height

Step 1: The foundation area of 12 square yards has previously been specified.

Step 2: The prism's volume is 108 cubic yards

Step 3: The given rectangular prism's volume = base area x height

=> 108 cubic yards = 12 x h

=> 108/ 12 = h

=> h = 9 yards

Since , the prism is 9 yards tall

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The correct interpretation of the 95% confidence interval is "We are 95% confident that the interval from 0.48 to 0.60 captures the true proportion of voters who would vote for Roberts.

"Explanation:In statistics, a confidence interval is an estimate that describes the degree of uncertainty associated with a sample estimate of a population parameter. Confidence intervals provide a range of possible values that are likely to contain the true value of a population parameter with a given level of confidence.In the given question, a 95 percent confidence interval for the population proportion is 0.54 ± 0.06. This means that we are 95% confident that the true proportion of voters who would vote for Roberts is between 0.48 and 0.60.The interpretation "We are 95% confident that 54% of all voters would vote for Roberts" is incorrect because we are not making a prediction about the percentage of voters who would vote for Roberts, but rather, we are estimating the range of likely values for the true proportion of voters who would vote for Roberts.The interpretation "There is a 5% chance that less than 48% or more than 60% of voters would vote for Roberts" is incorrect because we are not making a probability statement about the proportion of voters who would vote for Roberts, but rather, we are making a statement about the range of likely values for the true proportion of voters who would vote for Roberts.

The interpretation "There is a 95% probability that Roberts would receive between 48% and 60% of the votes" is incorrect because we are not making a probability statement about the percentage of votes that Roberts would receive, but rather, we are estimating the range of likely values for the true proportion of voters who would vote for Roberts.

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D. The income generated by a 529 plan is tax deferred.

When your finances are unpredictable or you are unable to pay for college tuition and other associated costs, going to college can be quite difficult. The "529 Plan" was presented as an option to folks who are attempting to save money for college because of this.

There are numerous investment alternatives in the 529 plan. Due to the fact that the investment is exempt from federal income taxes, one is able to invest without worrying about them. As a result of being tax-deferred, the investment grows every year. Withdrawals for purposes of paying for school are also tax-free. Depending on the person's gains, withdrawals that aren't tied to schooling are subject to a 10% penalty.

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Complete question:

Which sentence best describes an incentive for saving for education with a 529 plan

A. The income generated by a 529 plan is tax exempt.

B. Colleges offer a reduced price for tuition paid for with funds from a 529 plan.

C. There is no penalty if withdrawals are made for non-educational-related expenses.

D. The income generated by a 529 plan is tax deferred.

Answer: 1/4

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

         = (6 - 5) / (5 - 1)

         = 1/4

Answer:

-3/1 or just -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we have been given that

Ari has 3 ounces of caramel for each 5 scoops of frozen yogurt .

Freeze Zone makes bunches of milkshakes with 6 ounces of caramel and 8 scoops of frozen yogurt.

As per Ari,

For each 5 scoops of frozen yogurt, he wants 3 ounces of caramel

For each 1 scoop of frozen yogurt, he wants

3 ounces of Caramel

For each 8 scoops of frozen yogurt, he wants

3/5 * 8 = 24/5= 4.8 ounces

In this way, Ari considers sum caramel is something else for ideal milkshake as there is just requirement for 4.8 ounces of caramel however Freeze Zone is utilizing 6 ounces of caramel.

Answer:

Step-by-step explanation:

5456

The image of v is (5,9) and the preimage of w is (12, -5).

Given:

T(v1, v2) = (v1 + v2, v1 − v2), v = (7, −2), w = (7, 17)

The image of v is the result of applying the transformation to the vector v. We can find it by substituting v in the function T as follows:

T(7, -2) = (7+ (-2), 7 - (-2))= (5,9)

The image of v is (5,9)

The preimage of w is the vector which, when applied to the function T gives w. We can find it by solving the following system of equations for v1 and v2:

v1 + v2 = 7v1 - v2 = 17

Adding the two equations gives:

2v1 = 24v1 = 12

Substituting v1 in the first equation:

v2 = 7 - v1v2 = 7 - 12v2 = -5

So, the preimage of w is (12, -5)

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The probability of [A + B] is 1/2. and none of the events A, B, C, and D are mutually exclusive, because each event overlaps with at least one other event in probability.

If events A and B are mutually exclusive, then Pr[A + B] = Pr[A] + Pr[B] = 1/4 + 1/3 = 7/12. However, if events A and B are independent, then Pr[A + B] = Pr[A] + Pr[B] - Pr[A]Pr[B] = 1/4 + 1/3 - (1/4)(1/3) = 7/12 - 1/12 = 6/12 = 1/2.

It is not possible for all of A, B, C, and D to be mutually exclusive, because the sum of their probabilities is greater than 1 (1/4 + 1/3 + 1/4 + 1/4 = 13/12 > 1). If events are mutually exclusive, their probabilities cannot add up to more than 1, because the probability of any event occurring cannot be greater than 1. Therefore, at least one pair of these events cannot be mutually exclusive.

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Answer:

y = 2x - 12

Step-by-step explanation:

(y-4)/(-4-4) = (x-8)/(4-8)

(y-4)/-8 = (x-8)/-4

y-4 = 2x - 16

y = 2x - 16 + 4

y = 2x - 12

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

We can conceptually isolate the strength of the evidence from the prior probability of the theory when we make observations first or form our hypotheses first. Correct option is C.

The concept of isolating the strength of evidence from the prior probability of the theory is known as Bayesian inference, which involves updating our prior beliefs about a theory or hypothesis based on the observed evidence.

This process can be done whenever we have some initial prior belief about the theory or hypothesis and then collect new evidence to test it.

In Bayesian inference, the strength of evidence is measured by the likelihood of the observed data given the theory or hypothesis, and the prior probability is the initial belief or probability assigned to the theory or hypothesis before the evidence is considered.

By combining these two sources of information, we can calculate a posterior probability or updated probability of the theory or hypothesis given the observed evidence.

Therefore, the answer is c) whether we make observations first or form our hypotheses first. The order in which we collect the evidence or form hypotheses does not affect our ability to conceptually isolate the strength of the evidence from the prior probability of the theory, as long as we use Bayesian inference to update our beliefs.

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Therefore, the standard error is 6 / sqrt(30) ≈ 1.0959 mg/l.

Based on the given information, the mean concentration of sodium in the drinking water is 18.3 mg/l and the standard deviation is 6 mg/l. The water department selects a simple random sample of 30 water specimens and computes the mean concentration across these specimens.

To answer the question using the distributions tool, you should set the mean and standard deviation parameters on the tool to the expected mean and standard error for the distribution of sample mean concentrations.

The expected mean for the distribution of sample mean concentrations is the same as the mean concentration of sodium in the drinking water, which is 18.3 mg/l.

The standard error for the distribution of sample mean concentrations can be calculated by dividing the standard deviation of the population by the square root of the sample size. In this case, the standard deviation is 6 mg/l and the sample size is 30.

You can use these values to set the mean and standard deviation parameters on the distributions tool.

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The volume of the octahedron is (Base area ×Height)/3 when two pyramids can be formed from an octahedron, the volume of an octahedron is twice that of a pyramid.

Given that,

An octahedron is made by connecting the centers of the faces of the right rectangular prism in the illustration below.

We have to find what is the octahedron's volume.

The Greek term "Octahedron," which means "8 faces," is the source of the English word "octahedron." Eight faces, twelve edges, six vertices, and four edges that intersect at each vertex make up an octahedron, a polyhedron. It is one of the five platonic solids with equilateral triangle-shaped faces.

Since two pyramids can be formed from an octahedron, the volume of an octahedron is twice that of a pyramid. We can compute the volume of one pyramid, then multiply it by two to obtain the volume of an octahedron.

The pyramid's volume is equal to (Base area ×Height)/3.

Since the pyramid's base is square, its base area is equal to a².

Therefore, The volume of the octahedron is (Base area ×Height)/3 when two pyramids can be formed from an octahedron, the volume of an octahedron is twice that of a pyramid.

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The  triangle is rotated 90° counterclockwise about the origin shown below.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

we have to rotate 90° counterclockwise about the origin.

as, the rule for 90° counterclockwise about the origin is (x, y) becomes

(-y, x).

As, the coordinates after rotation are :

(-8, 3)---> (-3, -8)

(-2, 8)---> (-8, -2)

(-5, 7) -----> (-7, -5)

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Answer:

D: $2,000

Step-by-step explanation:

If im wrong contact me at Mousycritter#2842 on discor.d if you seek more help

9514 1404 393

Answer:

  7 cm, 4.4 cm

Step-by-step explanation:

The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...

  s = √(a² +b² -2ab·cos(C))

  s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}

The two side lengths are 7 cm and about 4.4 cm.

A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

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