To calculate the difference between the average populations, add the yearly populations and divide by the number of years for both periods, then subtract the first average from the second. To predict the 2010-2020 average, you could use trend analysis, a statistical method that identifies patterns in historical data.
Explanation:Before making any calculations, you need the blue crab population data for the specific years mentioned. To calculate the average, you sum up the individual yearly populations and then divide by the number of years. So, to calculate the average blue crab population from 1990-1997, you would add the population of each of these years and then divide by 8 (the number of years). For the period from 1998-2009, do the same but divide by 12. To determine the difference between these two averages, subtract the average for 1990-1997 from the average for 1998-2009.
To predict the average blue crab population for 2010-2020, you could use a statistical method known as trend analysis. This method involves identifying a pattern or trend in historical data and projecting this trend into the future. It’s important, though, to note that such methods can only predict based on the available data, and it may not account for unforeseen factors that could influence future populations.
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To calculate the difference between the average blue crab populations for the given time periods, add up the populations for each period and subtract them. However, predicting the average population for a future period requires additional data.
Explanation:To calculate the difference between the average blue crab populations for the given time periods, we need to find the average population for each period and then subtract them. Let's calculate:
1990-1997 average blue crab population: Add up the populations for each year (1990, 1991, ..., 1997) and divide by the number of years (8).1998-2009 average blue crab population: Add up the populations for each year (1998, 1999, ..., 2009) and divide by the number of years (12).To predict the average blue crab population for 2010-2020, we need more information about the population trends during that period. Without that information, we cannot accurately forecast the average population.Therefore, we can calculate the difference between the 1990-1997 average and the 1998-2009 average, but we cannot predict the average population for 2010-2020 without additional data.
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$74.95 jacket; 5% tax
Ming says that 0.24 > 1414 because 0.24 = 2424
Final answer:
To compare numbers, we look at their values from left to right. In this case, 1414 is greater than 0.24 due to the magnitude of the numbers.
Explanation:
The student's statement is incorrect. To compare numbers, you look at the digits from left to right, so 0.24 is less than 1 as it's closer to zero. Meanwhile, 1414 is a much larger number because it's in the thousands range.
Therefore, 1414 > 0.24, not the other way around. The student's reasoning based on the equality with 2424 is inaccurate in the context of comparing these two numbers.
solve w = 9x + 5y for y
To solve the equation w = 9x + 5y for y, subtract 9x from both sides to get w - 9x = 5y. Then, divide every term by 5 to obtain y = (w - 9x) / 5
Explanation:To solve the equation w = 9x + 5y for y, you should first isolate y on one side of the equation. This involves a series of steps.
Start by subtracting 9x from both sides of the equation. This will give you w - 9x = 5y.Next, divide every term in the equation by 5 to solve for y. This would give you (w - 9x) / 5 = y or y = (w - 9x) / 5.Now, the equation has been solved for y, meaning you can now substitute any values for w and x into this equation to find the corresponding value for y.
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5x + 20 = y 5x + 20 = 70 5x = 50 x = 10 Jack has a business mowing lawns and charges a flat fee of $20 per yard, plus an additional $5 an hour. He wants to make sure that he makes at least $70 doing yard work for a client with a very large yard. He sets up and solves the equation above. What does his solution of 10 mean? A) He needs to mow at least 10 yards. B) He needs to work for at least 10 days for this client. C) He needs to work at least 10 hours in the client's yard. D) He needs to charge and additional $10 an hour for this client.
Answer:
C
Step-by-step explanation:
The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft. l = ft
The slant height (l) of this cone is equal to 18.33 feet.
Given the following data:
Surface area of cone = 500π [tex]ft^2[/tex].Radius of cone = 15 ft.To calculate the slant height (l) of this cone:
How to calculate surface area.Mathematically, the surface area (SA) of a cone is given by this formula:
[tex]SA = \pi r(l + r)[/tex]
Where:
l is the slant height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]500 \pi = \pi \times 15(l + 15)\\\\500=15(l + 15)\\\\500=15l+225\\\\15l=500-225\\\\15l=275\\\\l=\frac{275}{15}[/tex]
Slant height, l = 18.33 feet.
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The slant height of a cone with a surface area of 500π square feet and a radius of 15 feet is 275 feet.
Explanation:The question asks for the slant height of a cone, given that the surface area (S) is 500π square feet and the radius (r) is 15 feet. No explicit formula for the slant height is provided.
We know the formula for the surface area of a cone is S = πrl + πr², where r is the radius, l is the slant height, and π is a constant (approximately 3.14).
By rearranging this equation, subtracting the base area from the surface area and then dividing by πr, we can solve for l: l = (S - πr²)/πr.
Plugging in the provided numbers: l = (500π - π*(15 ft)²)/(π * 15 ft). Simplifying this equation gives: l = (500 - 225) ft = 275 ft. Therefore, the slant height of the cone is 275 feet.
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The graph of g(x) is the graph of f(X) = x + 6 reflected across the x-axis. Which equation describes g? Question 3 options: g(x) = -x + 6 g(x) = -6x - 6 g(x) = -x - 6 g(x) = x - 6
The probability that a corporation made profits in 2005 is 0.78 and the probability that a corporation made charitable contributions in 2005 is 0.23. assuming that these two events are independent, the probability (rounded to 4 decimal places) that a corporation made profits in 2005 or made charitable contributions in 2005, but not both is:
Which equivalent expression demonstrates the commutative property? Check all the apply.
13 + 2 + 9 = 2 + 13 + 9
8 + 0 = 8
9(8 + 45) = 9(8) + 9(45)
[29(14)] + 45 = [14(29)] + 45
29(14 + 45) = 14(29) + 45
Answer:
13+2+9=2+13+9
[29(14)]+45=[14(29)]+45
Step-by-step explanation:
The equivalent expressions 13 + 2 + 9 = 2 + 13 + 9 and [29(14)] + 45 = [14(29)] + 45 demonstrate the commutative property, according to which the order in which numbers are added or multiplied does not change the result.
Explanation:The commutative property in mathematics is the property that states the order in which numbers are added or multiplied does not change the result. So, looking at the given options, the expressions that demonstrate the commutative property are:
13 + 2 + 9 = 2 + 13 + 9 [29(14)] + 45 = [14(29)] + 45
The other options do not represent the commutative property.
The operation 8 + 0 = 8 is an instance of identity property of addition because any number added to zero gives that number. The expression 9(8 + 45) = 9(8) + 9(45) is an application of the distributive property (where a(b + c) = ab + ac), and 29(14 + 45) = 14(29) + 45 is not a valid mathematical equation since it doesn't balance equally on both sides.Learn more about Commutative Property here:https://brainly.com/question/5637942
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Jayson takes a total of 5 hours of swimming lessons per week.if each lesson is 5/6 of an hour how many lessons does he take per week
What point on the unit circle corresponds to an angle of 173º
The point on the unit circle that corresponds to an angle of 173º is approximately (-0.9917, 0.1288), derived by converting the angle to radians, then calculating the cosine and sine for the x and y coordinates respectively.
Explanation:To find the point on the unit circle that corresponds to an angle of 173º, we first need to convert the angle from degrees to radians. We use the conversion factor of π/180 radians per degree, so 173 degrees is equal to (173)*(π/180) = 3.02 radians.
On the unit circle, the x-coordinate of a point corresponds to the cosine of the angle, and the y-coordinate corresponds to the sine of the angle. In this case, the x-coordinate would be cos(3.02) ≈ -0.9917, and the y-coordinate would be sin(3.02) ≈ 0.1288.
So, the point on the unit circle that corresponds to an angle of 173º is approximately (-0.9917, 0.1288).
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the selling price of a refrigerator, is $471.45. if the markup is 5% OF THE DEALER cost, what is the dealers cost of the refrigerator
Find 1112+(−712)1112+(−712). Write your answer as a fraction in simplest form.
Write a word problem for the absolute value
The absolute value is useful in solving problems involving distance, temperature, and error in measurement. The word problem is described below.
A word problem involving absolute value is as following:
John lives 3 blocks away from his school.
One day, he walked to school and noticed that he accidentally left his backpack at home.
He decided to go back home to get it. When John got back home, he realized that he forgot his backpack was actually in his car.
John's car is parked 5 blocks away from his house. How far did John walk in total?
To solve this problem, we need to use absolute value.
John walked 3 blocks to school, then back home, and then 5 blocks to his car.
The total distance he walked would be the absolute value of the difference between the distance from school to home and the distance from home to car:
|3 - 5| = 2
Therefore, John walked a total of 2 blocks that day.
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Helen's preferences over cds (c) and sandwiches (s) are given by u(s,
c.= sc + 10(s + c), with muc = s + 10 and mus = c + 10. if the price of a cd is $9 and the price of a sandwich is $3, and helen can spend a combined total of $30 each day on these goods, find helen's optimal consumption basket.
Name the property illustrated be each statement. (3x+2)-5=(3x+2)-5
Algebraic expression of 25 less than a number d
The algebraic expression for 25 less than a number is y = 25-x
What is an algebraic expression?An algebraic expression is a set of terms that have been combined using operations like addition, subtraction, multiplication, and division.
An algebraic expression is formed by a single term or by a group of terms.
For example, in the expression 4x + y, the two terms are 4x and y.
Given that, we need to construct an expression for a number 25 less d,
Let the number be y,
The algebraic expression for 25 less than a number is;
y = 25-x
That we give, all the obtained value of y is less than 25.
Hence, the algebraic expression for 25 less than a number is y = 25-x.
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Nate went on a trip, and he used a table of values to repeatedly record the time he had been traveling and the distance from his destination. The function represented by the table of values is linear, and the rate of change is 50 miles per hour. Which of these statements is correct?
Answer: b. with any pair of values for time and distance, it is possible for Nate to determine the initial value by repeatedly subtracting 50, if necessary.
Step-by-step explanation: i took the unit test. hope this helps<33
Answer:
B
Step-by-step explanation:
edge 2021
The following table gives values of the differentiable function .
x
0
1
2
3
4
5
6
7
8
9
10
y
3
1
-2
-5
-4
2
-1
-2
-4
-6
-7
Now assume that the table gives values of the continuous function y=f'(x) (instead of f(x) ). Estimate and classify critical points of the function f(x).
Fred worked on Monday and Tuesday, earning $109.30 total for the two days. He had Wednesday off, made $67.89 on Thursday, had a half day on Friday making $35.12, and made $87.34 on Saturday. What is the total amount of money he made that week?
Quick i need help! (includeing pic)
The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened?
A linear equation has a standard form of:
y = mx + b
where in this case,
y = amount of money in tip jar, m = slope, x = number of hours, b = y intercept
We select any two paired data to calculate for the slope:
m = (y2 – y1) / (x2 – x1)
m = (18.25 – 15.50) / (5 – 4)
m = 2.75
y = 2.75x + b
Choosing any one data pair to calculate for b the y-intercept:
15.50 = 2.75 (4) + b
b = 4.5
Therefore there was $4.50 in the tip jar during the opening.
Answer: $4.50
Answer:
4.50
Step-by-step explanation:
from the table, we can tell the tip increases by 2.75 per hour
the 3rd hour: 15.50-2.75=12.75
the second hour: 12.75-2.75=10.00
the 1st hour: 10.00-2.75=7.25
the 0 hour: 7.25-2.75=4.50
so there was 4.50 in the jar
Is y=4x+x a linear equation
you are a geologist assigned to estimate the density of the Earth. look at picture for the full question:
What type of number is -12.123 repeating?
Choose all that apply.
Whole number
Integer
Rational
Irrational
Answer:
Rational
Step-by-step explanation:
The following diagram shows that all whole numbers are integers, and all integers are rational numbers. Numbers that are not rational are called irrational.
Hint #22 / 4
\green{\text{Whole numbers}}Whole numbers start color #28ae7b, start a text, W, h, o, l, e, space, n, u, m, b, e, r, s, end text, end color #28ae7b are numbers that don't need to be represented with a fraction or decimal. Also, whole numbers cannot be negative.
\blue{\text{Integers}}Integersstart color #6495ed, start a text, I, n, t, e, g, e, r, s, end text, end color #6495ed are whole numbers but can also be negative.
\purple{\text{Rational numbers}}Rational numbersstart color #9d38bd, start text, R, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end text, end color #9d38bd are numbers that can be expressed as a fraction of two integers. Keep in mind that the denominator cannot be equal to 000!
\pink{\text{Irrational numbers}}Irrational numbersstart color #ff00af, start text, I, r, r, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end text, end color #ff00af are numbers that cannot be expressed as a fraction of two integers.
Hint #33 / 4
Now, let's answer the question.
-0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline is not a whole number because it needs to be represented with a fraction or decimal.
For this same reason, -0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline is not an integer.
-0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline is a rational number because it can be represented as a fraction of two integers \left(-\dfrac{4}{33}\right)(−
33
4
)left parenthesis, minus, start fraction, 4, divided by, 33, end fraction, right parenthesis.
Hint #44 / 4
The following number type applies to -0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline :
Rational
The number -12.123 repeating is rational
What is Number system?A number system is defined as a system of writing to express numbers.
-12.123 repeating is a rational number.
A rational number is any number that can be expressed as a ratio of two integers (i.e. a fraction), where the denominator is not zero.
In this case, we can express -12.123 repeating as the fraction:
-12.123... = -12123/1000
Since -12123 and 1000 are both integers, and the denominator is not zero, -12.123 repeating is a rational number.
Hence, the number -12.123 repeating is rational
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How many more equal angles does a square have than a rectangle
Two standardized tests, a and b, use very different scales of scores. the formula upper a equals 40 times upper b plus 50a=40×b+50 approximates the relationship between scores on the two tests. use the summary statistics for a sample of students who took test b to determine the summary statistics for equivalent scores on test
a. lowest score equals= 2121 mean equals= 2929 standard deviation equals= 22 q3 equals= 2828 median equals= 2626 iqr equals= 66 find the summary statistics for equivalent scores on test
a. lowest scoreequals= nothing meanequals= nothing standard deviationequals= nothing q3equals= nothing medianequals= nothing iqrequals= nothing
Final answer:
Using the transformation formula a = 40×b + 50, we calculated equivalent scores on Test A based on the given summary statistics of Test B, demonstrating the effects of linear transformation on statistical measures.
Explanation:
Using the formula a = 40×b + 50, we can calculate the equivalent scores on test A from the given summary statistics for test B. This formula allows us to transform the scores from one scale to another, maintaining the distribution's shape but adjusting the scale and location.
Lowest score on Test A = 40×(21) + 50 = 890Mean score on Test A = 40×(29) + 50 = 1,210Standard deviation remains unchanged as we are scaling and shifting the data. So, it is 40×(22) = 880.Q3 (third quartile) on Test A = 40×(28) + 50 = 1,170Median on Test A = 40×(26) + 50 = 1,090IQR (Interquartile range) remains constant as it's a measure of spread, not affected by linear transformations. So, it would be 40×(6) = 240.By applying linear transformation to the test scores, we can effectively compare results from tests using different scales, making it easier for educational institutions and researchers to evaluate data cohesively.
Find the product. Type your answer in the provided space. Do not use spaces in your answer. To demonstrate an exponent, use the ^ key. For example, x 2should be typed in as x^2.
3x 3 y · 5x 2 y
Final answer:
To find the product of [tex]3x^{3y}[/tex] and [tex]5x^{2y}[/tex], multiply 3 and 5 to get 15, then add exponents of x (3 and 2) and y (1 and 1, because y = [tex]y^{1}[/tex]) to get [tex]15x^{5y^{2} }[/tex].
Explanation:
The student's question involves the multiplication of exponentials. When multiplying variables with exponents, we multiply the coefficient (numerical part) and add the exponents of like bases.
Given the expression [tex]3x^{3y}[/tex].[tex]5x^{2y}[/tex], we multiply the coefficients (3 and 5) and add the exponents of like bases (“3” for x and “1” for each y, since no exponent means 1).
The result is [tex]15x^{(3+2)y^{1+1} }[/tex], which simplifies to [tex]15x^{5y^{2} }[/tex].
In a certain school, course grades range from 0 to 100. Adrianna took 4 courses and her average course grade was 90. Roberto took 5 courses. If both students have the same sum of course grades, what was Roberto's average?
(I want to know the most easiest way to do it)
The product P of two consecutive natural numbers, the first of which is N
The product of two consecutive natural numbers, with the first being [tex]\( N \),[/tex]is [tex]\( N \times (N + 1) \).[/tex]
The product [tex]\( P \)[/tex] of two consecutive natural numbers can be expressed as the product of a number and its consecutive number. So, if the first number is [tex]\( N \),[/tex] then the second number would be [tex]\( N + 1 \).[/tex] Therefore, the product [tex]\( P \)[/tex] can be written as:
[tex]\[ P = N \times (N + 1) \][/tex]
Expanding this, we get:
[tex]\[ P = N^2 + N \][/tex]
This represents the product of two consecutive natural numbers where [tex]\( N \)[/tex] is the first number.
Find the exact circumference of a circle with the given radius. 3½ cm C = 7.5π cm 7π cm 6.25π cm
Answer:
(B) [tex]7{\pi}cm[/tex]
Step-by-step explanation:
We are given the radius of the circle that is equal to [tex]3\frac{1}{2}cm[/tex].
Now, circumference of circle is given as:
[tex]C=2{\pi}r[/tex]
[tex]C=2{\pi}(3\frac{1}{2})[/tex]
[tex]C=2{\pi}(\frac{7}{2})[/tex]
[tex]C=7{\pi}cm[/tex]
Therefore, the circumference of the circle is [tex]7{\pi}cm[/tex].
Hence, option B is correct.