In 1995, we would anticipate a per capita consumption of 54.3 pounds of chicken.
What is per capita consumption?Per capita consumption is the yearly use of services and goods by each individual, calculated by dividing the total population's use of goods and services. This variable measures personal economic well-being directly.So,
According to the data, per capita consumption was 39.7 pounds in 1983 and 47 pounds in 1989.Per capita consumption is the yearly use of services and goods by each individual, calculated by dividing the total population's use of goods and services. This variable measures personal economic well-being directly.Assume t=0 corresponds to the year 1980.As a result, we can express the given data as ordered pairs (3,39.7) and (9,47).We can compute a linear function that passes through these points.Let us first calculate the slope of the linear function:
[tex]m=\frac{y_2-y_1}{t_2-t_1}=\frac{47-39.7}{9-3}=\frac{7.3}{6}=\frac{73}{60}[/tex]The required linear function can be written as:
[tex]y-39.7=\frac{73}{60}(t-3)[/tex]When we simplify this, we get:
[tex]y=\frac{73}{60} t+\frac{721}{20}[/tex]To calculate per capita consumption in 1995, enter t=15 into this function.
[tex]y=\frac{73}{60}(15)+\frac{721}{20}=54.3[/tex]Therefore, in 1995, we would anticipate a per capita consumption of 54.3 pounds of chicken.
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The correct question is given below:
For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds. Write a linear model for per capita consumption of chicken in the u.S. Let t represent time in years, where t = 3 represents 1983. Let y represent chicken consumption in pounds. What would you expect the per capita consumption of chicken to be in 1995? What would you expect the per capita consumption of chicken to be in 1995?
(-2, 8), (r, 4), m = -1/2
is y=-3/2x+10/3 parallel to y=-2/3x+11/3?
Answer:
nope
Step-by-step explanation:
parallel or not just depend on the coefficient of the first degree
3/2 ≠ 2/3 so not
A small model car is 12 inches long and the actual car is 132 inches long. what is the scale factor of the model to the actual car?
Help please
Answer: 11
Step-by-step explanation: 132/12 = 11
You divide the actual car length by the model and you get the scale factor.
The scale factor of the model to the actual car is 1/11 inches.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
A small model car is 12 inches long and the actual car is 132 inches long.
To find the scale factor:
When both the original dimensions and the new dimensions are known, the scale factor may be determined.
The following is a basic formula to determine a figure's scale factor:
Scale factor = Dimension of the new model ÷ Dimension of the actual car
Scale factor = 12 / 132
Scale factor = 1/11
Therefore, the scale factor is 1/11 inches.
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Explain the difference between partitioning a directed line segment MN in a 2:7 ratio
versus a 7:2 ratio. Include a specific example as part of your explanation.
The difference between partitioning a directed line segment MN in a 2:7 ratio versus a 7:2ratio because of following
To understand this let us take the line segment MN which is of a length is divided into 9 equal parts. Here, we are dividing it into nine parts because the proportions 2 and 7 make a sum of 9.
When we divide the line segment MN in the ratio 2:7, the first two parts out of the nine from the left side are separated from the rest 7. This means that the first proportion from the left hand side of the line is smaller than the other.
Now, when we divide the line segment MN in the ratio7:2, the first seven parts out of the nine from the left side are separated from the rest two. This means that the first proportion from the left hand side of the line is larger than the other.
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suppose that 51% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?
If 51% of people owns dogs and you randomly pick two people, then probability that they both own a dog is 0.2601
Given,
The percentage of people own dogs= 51%
We know,
Probability = Number of favorable outcomes / Total outcomes.
If you choose random guy and probability that guy own a dog = 0.51
Here the probability of having a dog is independent events
Then,
Probability that they both own a dog = Probability of first person own a dog × Probability of second person own a dog
= 0.51×0.51
=0.2601
Hence, If 51% of people owns dogs and you randomly pick two people, then probability that they both own a dog is 0.2601
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6.25% of what number is 7?
Answer:
Step-by-step explanation:
0.4375
Answer:
6.25%of 112 is 7
Step-by-step explanation:
hope it helps you
if right mark me the brainliestIs -1/3 - 4/5 positive, negative, or zero?
The given expression is negative as after the solving fraction the value is: -17/15
What is the fraction addition formula?Examine the fractions' denominators. Find the LCM of the denominators and rationalize them to make the denominators of both fractions the same. Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.
According to the given data:Given fraction are : -1/3 , -4/5
Applying the fraction addition formula:
by calculating and reasoning the LCM of denominators Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.
= (-1/3)+( -4/5)
Applying the fraction addition rule:
= [tex]\frac{-1}{3}[/tex] - [tex]\frac{-4}{5}[/tex]
Finding the LCM of the denominators:
= [tex]\frac{-5}{15} - \frac{12}{15}[/tex]
= -17/15
The given expression is negative as after the solving fraction the value is: -17/15
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he larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
Answer:
51 and 12
Step-by-step explanation:
Solve➲ Let a be the bigger number
➲ Let b be the smaller number
[tex]a = 3b + 15\\a = 3 \cdot b + 15\\a + b = 63\\\bold{Solve:b}\\3b + 15 + b = 63\\3b + b = 4b\\4b + 15 = 63\\4b = 63 - 15\\4b = 48\\b = 12\\\\\bold{Solve:a}\\a = 3b + 15 \rightarrow a = 3 \cdot 12 + 15 = 51[/tex]
Thus,
b = 12, a = 51
_______________________________
Wrapping up:
➲ Hope this helps.
➲ Address concerns if needed.
➲ Have a great day!
which city has a greater percentage of households with annual incomes between 50,000 dollars and 80,000 dollars?
The typical household income in both cities is $80,000.
The distribution is more evenly distributed in Statstown . At least 25% of the total values in Medianville are between $60,000 and $80,000, as can be shown. As a result, more than 25% of people have annual incomes between $50,000 and $80,000. 25% of people in Statstown make between $40,000 and $80,000 per year. Therefore, less than 25% of people have annual salaries between $50,000 and $80,000.
What proportion of Americans earn more than $100,000 annually?
In 2020, 24% of Americans had a yearly salary of over $100,000. 34% of American households have a yearly income of $100,000 or more. American households making over $100,000 annually climbed by 4.1% in the five years leading up to 2022.
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Estimate the bending strength of beams by bending 10 beams untll they break and recording the force at which the beams broke.
The bending strength of beams by bending 10 beams untll they break will be estimated as-
The ten beams that were evaluated.The breaking force of each beam. It is quantitative.What is bending strength?Flexural strength is a material property that refers to the highest stress in a material well before yielding in a bending test. It is also recognized as bending strength or transverse rupture strength.
Some key features regarding the bending strength are-
When a specimen, typically a beam or rod, is bent, it is subjected to a variety of stresses throughout its depth. The stress will be at the maximum compressive stress on the inside of the bend, while it will be at its maximum tensile stress on the opposite side.The extreme fibres are the specimen's inner and outer edges. Tensile stress is what causes most materials to fail before compressive stress. This is caused by small surface defects of varying sizes that grow under tensile stress.Flexural strength is defined as the maximum tensile stress value under bending before the beam and rod fails.
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what is 16 divided by 2 2/3 pls help
It should be noted that 16 divided by 2 2/3 is 6.
How to compute the value?It should be noted that the information is to compute 16 divided by 2 2/3.
Therefore, this will be:
16 ÷ 2 2/3
= 16 ÷ 8/3
= 16 × 3/8
= 2 × 3
= 6
Therefore, the value is 6.
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What is meant by the phrase degrees of freedom as it pertains to the computation of the sample standard deviation?.
The phrase "Degrees of Freedom" in the computation of sample standard deviation is, n - 1.
Degrees of freedom:
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.
Degrees of freedom is calculated by subtracting one from the number of items within the data sample.
Given,
Here we need to find the meaning for the phrase degrees of freedom as it pertains to the computation of the sample standard deviation
It means, There are n-1 degrees of freedom in the computation of s because an unknown parameter is estimated by the sample mean.
For each parameter estimated, 1 degree of freedom is lost.
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A machine that originally cost $15,600 has a value of $7500 at the end of 3 years. the same machine has a value of $2800 at the end of 8 years. find the average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years. a. -$3200 per year c. $-5400 per year b. -$2700 per year d. $2700 per year
A) The rate for the first 3 years :
15,600 - 7500 = 8100
8100/3 years = 2,700 per year depreciation.
B) The rate between 3 and 8 years:
7500 - 2800 = 4700
4700 / 5 year = 940 per year depreciation.
C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Is the number 6.2 x 10^(-3) greater than 1 or smaller than 1?
evaluate the expression if a=3/4, b=-8, c=-2, and d=3
Answer: 206
Step-by-step explanation:
a=3/4, b=-8, c=-2, d=3
-b[a+(c-d)^2]=
-(-8)[3/4+(-2-3)^2]=
8[3/4+(-5)^2]=
8[3/4+25]=
8*3/4 + 200=
24/4 + 200=
6+200=206
Knowledge Check
Question 10
Keith purchased a prepaid phone card for $50.75. Calls cost 8 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x
minutes of calls is given by the following
C=50.75-0.08x
How much credit is left on the card after Keith uses it for 30 minutes of calls
The credit that is left on the card after Keith uses it for 30 minutes of calls is $48.35.
How to calculate the cost?From the information given, Keith purchased a prepaid phone card for $50.75. Calls cost 8 cents a minute using this card
The equation was given as C=50.75-0.08x
Therefore, the credit that is left on the card after Keith uses it for 30 minutes of calls will be:
C=50.75-0.08x
C = 50.75 - 0.08(30)
C = 50.75 - 2.40
C = $48.35
The credit is $48.35.
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i need help how to solve this
The answer is 23
Step-by-step explanation:
7 + 2^4 ÷ 4 + 2(3² × 2 ÷ 6 + √9)
7 + 16 ÷ 4 + 2(9 × 2 ÷ 6 + √9)
7 + 4 + 2(3 + 3)
11 + 2(6)
11 + 12
= 23
Question 1 (Multiple Choice Worth 5 points)
(01.06 LC)
Which statement shows that money is a "measure of value?"
This bill is worth twenty dollars.
My phone is worth eight hundred dollars.
The dollar I just found in my drawer is still worth a dollar.
The more features it has, the more it is worth.
Answer: My phone is worth eight hundred dollars.
Step-by-step explanation:
The correct statements are:
This bill is worth twenty dollars.
My phone is worth eight hundred dollars.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given statements:
This bill is worth twenty dollars.
My phone is worth eight hundred dollars.
The dollar I just found in my drawer is still worth a dollar.
The more features it has, the more it is worth.
From the given statements:
This bill is worth twenty dollars.
Here, the measure of the value is n = $20.
My phone is worth eight hundred dollars.
Here, the measure of the value is m = $800.
Therefore, the correct explanation is given above.
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evaluate write your answer as a whole number or as a simplified fraction
Answer: The answer is 27
Step-by-step explanation: 6 x 6 x 6 = 216. 216 is the numerator. 2 x 2 x 2 = 8. 8 is the denominator.
216 / 8 = 216 '/. 8 = 27
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
32 feet
31 feet
19 feet
13 feet
The difference between the depths in February and July is 19 feet.
To find the difference between the depths in February and July, we need to subtract the depth in February from the depth in July.
The depth in February is given as |−6|, which is 6 feet, and the depth in July is given as |−25|, which is 25 feet.
Difference = Depth in July - Depth in February
Difference = 25 feet - 6 feet
Difference = 19 feet
Therefore, the difference between the depths in February and July is 19 feet.In February, the depth of the lake is given as |−6|, which represents the absolute value of -6. The absolute value of a number disregards its sign, so |−6| is equal to 6 feet.
In July, the depth of the lake is given as |−25|, which represents the absolute value of -25. Again, disregarding the sign, |−25| is equal to 25 feet.
To find the difference between the depths in February and July, we subtract the depth in February from the depth in July:
Difference = Depth in July - Depth in February
Difference = 25 feet - 6 feet
Difference = 19 feet
Therefore, the difference between the depths in February and July is 19 feet. This means that the lake experienced a change of 19 feet in depth between those two time points.
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The word geometry comes from the Greek words geo, which means "earth," and metron, which means "a measuring
of." Given this information, how do you think the study of geometry developed?
The study of geometry developed from. measuring the Earth.
What is geometry about?Geometry has its roots in issues that people face on a daily basis. According to the conventional myth, which was preserved in Herodotus' History (5th century bce), the Egyptians invented surveying to restore property values following the yearly Nile flood.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specializes in geometry.
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0.1x+ 3x/5+ 20/ 5 =0.5
Answer:
x = -5
Step-by-step explanation:
Im not very sure but here it is. =D
Tell me if it helps you.
Tom keeps all of his marbles in a bag. 5 red marbles. 4 blue marbles. and three yellow are in the bag. if he randomly chooses one marble what is the probability it is blue?
If Tom choose one marble then the probability that it will blue is 1/3.
According to the given question.
Total number of red marbles in a bag = 5
Total number of blue marbles in a bag = 4
Total number of yellow marbles in a bag = 3
So, the total number of marbles in a bag = 5 + 4 + 3 = 12
As we know that, the probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
Therefore, if Tom choose one marble then the probability that it will blue
= 4/12
= 1/3
Hence, if Tom choose one marble then the probability that it will blue is 1/3.
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what is the mean (average) rate that the grand canyon has been eroded into the colorado plateau during the past 6 million years, expressed in millimeters per year? show your work below.
The mean rate the Grand Canyon has been eroded into the Colorado plateau within the past 6 million years is [tex] \frac{4 }{15} \: mm/year [/tex]
What is the average or mean of the given data?The possible part of the question as obtained from a similar question includes;
The time at which the western Grand Canyon began to be evacuated by river erosion = 6 million years ago
The depth of the Grand Canyon = 1.6 km
(a) The average value or the mean is given by the formula;
[tex]Average = \frac{Depth \: of \: erosion }{Time \: taken } [/tex]
The depth of erosion = 1.6 km
Time of erosion = 6 million years
The average rate at which the Grand Canyon has been eroded into the Colorado plateau is therefore;
[tex]Average = \frac{1.6 \: km }{6 \times {10}^{6} \: years} [/tex]
1.6 km = 1,600,000 mm
Therefore;
[tex]Average = \frac{1600000 \: mm }{6 \times {10}^{6} \: years} = \frac{4 }{15} \: mm/year [/tex]
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At what points will the line y = x intersect the unit circle x2 y2 = 1? smaller value and larger value
[tex]The two equations given arey = x …. (1)x2 + y2 = 1 …. (2)Substitute equation (1) in (2)x2 + x2 = 12x2 = 1x2 = ½x = √1/2x = ±0.707As the square can be positive or negative we get x1 = 0.707 and x2 = -0.707From equation (1) we know that y = xy1= x1= 0.707y2= x2 = -0.707Therefore, the line y = x intersects the unit circle x2 + y2 = 1 at (0.707, 0.707) and (-0.707, -0.707).[/tex]
What is intersect?A junction is a place where two lines come together or cross. In the illustration above, "point K is the intersection of line segments PQ and AB" is what we would state. The phrase "the line segment PQ crosses AB at position K" is another option.
Keep in mind that two line segments do not always need to intersect. In the illustration above, move point B higher until the intersection of the two line segments disappears. However, keep in mind that lines (as opposed to line segments) continue indefinitely in both directions, thus unless they are absolutely parallel, they will always cross someplace.
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A nature specialist tagged 1000 rabbits in the County Park. At a later date, they found 10 tagged rabbits when they caught 200 rabbits. Find the estimate of the total number of rabbits in the County Park.
Answer:
20000 rabbits
Step-by-step explanation:
84
12
+(5-7²)-72+6-2
Answer:
8300
Step-by-step explanation:
First, do parenthesis
Then, do the rest of the PEMDAS
Last, you're done!
I need help please !!
Step-by-step explanation:
A has no solution.
15x - 45 = 15x + 75
-45 = 75
is false for every value of x.
in other words, when you add to the same thing different amounts, the result cannot be identical ever.
B has a solution
-45x - 45 = -75x + 75
-120x = 120
-x = 1
x = -1
C has a solution
45x - 45 = -15x + 75
60x = 120
x = 2
D has a solution
15x - 45 = 75x + 75
-120 = 60x
-2 = x
What is a polynomial function in standard form with zeros 1,-1, 2, and 4?
○_A. y = x¹ − 6x³ + 7x² + 6x − 8
O B. y = x² - 6x³ + 9x² + 6x-8
OC. y = x³ + 7x² + 6x - 8
OD. y = x - x³ + x²+x-8
The equation using the polynomial function is a x⁴ - 6x³ + 7x² + 6x - 8.
According to the statement
We have to find that the equation using the polynomial function.
So, For this purpose, we know that the
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation
From the given information:
The standard form with zeros 1,-1, 2, and 4:
Polynomial with Zeros 1, - 1, 2 and 4 can be expressed thus :
x = 1 : x - 1
x = - 1 :x + 1
x = 2 :x - 2
x = 4 :x - 4
Hence, we have :
(x - 1)(x + 1)(x - 2)(x - 4) = 0
We can then expand ;
(x - 1)(x + 1) = x² + x - x - 1 = x² - 1
(x² - 1)(x - 2) = x³ - 2x²-x + 2
(x³ - 2x² - x + 2)(x - 4)
x⁴ - 4x³ - 2x³ + 8x² - x² + 4x + 2x - 8
x⁴ - 6x³ + 7x² + 6x - 8.
So, The equation using the polynomial function is a x⁴ - 6x³ + 7x² + 6x - 8.
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The fixing of east and west germany's currencies at a 1:1 ratio to each other during the german unification in 1990 is an example of a _____.
The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy
We know
The fixed exchange rate policy is the rule to ties the country's official currency exchange rate to another country's currency which set by the central bank or government.
Here,
The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990. The fixed exchange policy is used here
Hence, The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy
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