The percent change from $45.00 to $68.75 is approximately 52.8%.
What does the phrase "percent change" mean?Finding the difference between two values in a time series and multiplying it by 100 after dividing it by the initial value yields the percentage change between the two values.
We employ the following formula to determine the percentage difference between two values:
(New Value - Old Value) / Old Value * 100% is the formula for percent change.
The former value in this instance was $45.00, whereas the new value is $68.75.
Adding these values to the formula yields the following results:
($68.75 - $45.00) / $45.00 * 100% is the percent difference.
percent modification: (23.75% / (45.00%) * 100%
52.8% change in percentage
As a result, the percentage increase from $45.00 to $68.75 is almost 52.8%.
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The changes in Mr. Connor's bank account for five days are $50.25, (-$22.50), $50.25, (−$22.50), and (−$22.50). What is the mean change in his bank account? Show your work. (4 pts)
The mean change in Mr.60. Connor's bank account is $6.
According to given condition :To find the mean change in Mr. Connor's bank account, we need to add up all the changes and divide by the total number of changes.
First, we can simplify the given list of changes by combining the positive changes and the negative changes separately:
$50.25 + $50.25 = $100.50 (total positive change)
-$22.50 + (-$22.50) + (-$22.50) = -$67.50 (total negative change)
Then, we can find the total change in Mr. Connor's account by subtracting the total negative change from the total positive change:
$100.50 - $67.50 = $33.00 (total change)
Finally, we can find the mean change by dividing the total change by the number of changes:
$33.00 ÷ 5 = $6.60 (mean change)
Therefore, the mean change in Mr.60. Connor's bank account is $6.
What is mean ?In mathematics, the mean is a measure of central tendency that represents the average value of a set of numbers. It is also known as the arithmetic mean or simply the average.
To find the mean of a set of numbers, you add up all the numbers in the set and then divide by the total number of numbers. For example, to find the mean of the numbers 2, 5, 7, and 10, you add them up (2 + 5 + 7 + 10 = 24) and then divide by the total number of numbers (4), which gives a mean of 6.
The mean is often used in statistics to describe the typical or average value of a data set. It is a useful measure of central tendency because it takes into account all the values in the data set, not just a few extreme values. However, the mean can be affected by outliers, or extremely high or low values in the data set that can skew the average.
There are different types of means, including the arithmetic mean, the geometric mean, and the harmonic mean, each with different methods of calculation and specific applications.
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7
5
3
10
Find the perimeter.
8
2
8
The perimeter of the figure is 43 units.
How to find the perimeter of a figure?The perimeter of a figure is the sum of the whole sides of the figure. Therefore, the figure above is a composite figure, let's find the perimeter of the shape as follows:
Hence,
Perimeter of the figure = 8 + 3 + 5 + 7 + 10 + 2 + 8
Therefore,
Perimeter of the figure = 11 + 12 + 12 + 8
Perimeter of the figure = 23 + 20
Perimeter of the figure = 43 units
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During a snowstorm, Kaylee tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. Snow fell at a constant rate of 3 inches per hour until another 6 inches had fallen. The storm then stopped for 5 hours and then started again at a constant rate of 2 inches per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Kaylee collected. Click twice to plot a segment. Click a segment to delete it. 0 Time Since Storm Began (Hours) Snow on the Ground (Inches) x y
The snowstorm resumes at a consistent rate of 2 inches per hour after 5 hours. Draw a second diagonal line with a slope of 2 as a result. Points 7 and 10 should be the beginning and finish of this line, respectively (14,18).
The resulting graph should include a horizontal line at y=10 from (0,4) to (2,10), a diagonal line with a slope of 2 from (7,10) to (0,4), and a horizontal line at y=3 from (0,4) to (0,10). (14,18).
Describe Graph?Graphs are visual representations of data that show how any two variables relate to one another. Without requiring a lot of words, they are frequently used to communicate complex and large amounts of data. A specific amount of data must be gathered through surveys or experiments before a graph may be created.
To create the graph of the snow on the ground over time, we can follow these steps:
Start with a point at (0,4) since at the beginning of the storm there were 4 inches of snow on the ground.
From this starting point, draw a diagonal line with a slope of 3, representing the constant rate of snowfall of 3 inches per hour. This line should have a y-intercept of 4 and an x-intercept of 2 (since 6 inches of snow fell in 2 hours).
After the 6 inches of snow have fallen, the snowstorm stops for 5 hours. During this time, the snow on the ground remains the same. So, draw a horizontal line at the y-value of 10 (since there are 10 inches of snow on the ground after the first 6 inches fall).
After 5 hours, the snowstorm starts again at a constant rate of 2 inches per hour. So, draw another diagonal line with a slope of 2. This line should start at the point (7,10) and end at the point (14,18).
The resulting graph should have a diagonal line with a slope of 3 from (0,4) to (2,10), a horizontal line at y=10 from (2,10) to (7,10), and a diagonal line with a slope of 2 from (7,10) to (14,18).
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help pls!
A homeowner would like to spread shredded bark (mulch) over her flowerbeds. She has three flowerbeds measuring 24 ft by 3.1 ft, 14 ft by 4.3 ft, and 30 ft by 1.5 ft. The recommended depth for the mulch is 4 inches, and the shredded bark costs $27 per one cubic yard. How much will it cost to cover all of the flowerbeds with shredded bark? (Note: You cannot buy a portion of a cubic yard of mulch. Assume that there are 27 ft³ in a yd³.)
If a homeowner would like to spread shredded bark (mulch) over her flowerbeds. it will cost $65.07 to cover all the flowerbeds with shredded bark.
How to find the cost?To calculate the amount of mulch needed, we need to find the volume of each flowerbed and add them together. The recommended depth for the mulch is 4 inches, which is equal to 4/12 = 1/3 feet.
For the first flowerbed, the volume of mulch needed is:
24 ft x 3.1 ft x 1/3 ft = 24.8 cubic feet
For the second flowerbed, the volume of mulch needed is:
14 ft x 4.3 ft x 1/3 ft = 20.87 cubic feet
For the third flowerbed, the volume of mulch needed is:
30 ft x 1.5 ft x 1/3 ft = 15 cubic feet
The total volume of mulch needed to cover all three flowerbeds is:
24.8 cubic feet + 20.87 cubic feet + 15 cubic feet = 60.67 cubic feet
Since there are 27 cubic feet in a cubic yard, the total amount of mulch needed is:
60.67 cubic feet / 27 cubic feet per cubic yard = 2.25 cubic yards
At a cost of $27 per cubic yard, the total cost of the mulch is:
2.25 cubic yards x $27 per cubic yard = $60.75
Therefore, it will cost $60.75 to cover all of the flowerbeds with shredded bark.
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A right cone has radius 2 ft and slant height 5 ft. The radius and slant height are both multiplied by 1/4. Which of the following correctly describes the effect on the surface area?
a. The surface area is multiplied by 8.
b. The surface area is multiplied by 1/16.
c. The surface area is multiplied by 16.
d. The surface area is multiplied by 1/8.
The surface area will be multiplied by 1/8.
What is a cone:A cone is a three-dimensional geometric shape that has a circular base and a curved surface that tapers to a point called the apex or vertex.
The height of a cone is the perpendicular distance from the vertex to the base. The radius of the base is the distance from the center of the circle to its edge.
The slant height is the distance from the vertex to any point on the edge of the base, The formula for the surface area of the cone is given by
Surface Area of the cone = πr(r + l) square unitsHere we have
A right cone has a radius of 2 ft and a slant height of 5 ft.
As we know, the total Surface Area of the cone = πr(r + l) square units
Surface Area of cone = π(2)(2 + 5) ft² = 44 ft²
Given that both the radius and slant height are multiplied by 1/4.
Radius, r = (1/4)(2) = 1/2 ft
Slant height, h = (1/4)5 = 5/4 ft
Surface Area of cone will be = π(1/2)(1/2 + 5/4) ft²
= π(1/2)(7/4) ft²
= 11/4 ft²
Let the surface area is multiplied by 'x'
=> 44x = 11/4
=> 4x = 11/4
=> x = 1/8
Therefore,
The surface area will be multiplied by 1/8
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The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to 17 years, given the household’s annual income, 78,300.
$231784 is the to raise a child from birth to 17 years in a household with an annual income of $78,300.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Let y represents the total cost in dollars f raising a child in the United States from birth to 17 years
x represents the households annual income
We have y = 1.55x + 110,419
We need to find the value of y for x=78300
y=1.55(78300) + 110,419
y=231784
Hence, $231784 is the to raise a child from birth to 17 years in a household with an annual income of $78,300.
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The length of a room is 583 cm. Express the length in metres. *
Your answer
Calculate *
Answer:
5.85m
Step-by-step explanation:
1 meter is 100 centimeters.
583 divided by 100
Let x be an integer. Prove: x^3 is even if and only if x is even
Let z be a real number. Prove: z is irrational if and only if - z is irrational.
Therefore, x³ must be even. Therefore, if -z is irrational, then z must also be irrational.
What is integer?In mathematics, an integer is a whole number that can be either positive, negative, or zero. It can be written without a fractional or decimal component. Some examples of integers are -3, -2, -1, 0, 1, 2, 3. Integers are used in many different areas of mathematics, including number theory, algebra, and geometry. They are a fundamental concept in mathematics and have many important properties, such as the ability to add, subtract, and multiply them.
Here,
Proof of "x³ is even if and only if x is even":
First, assume that x is even. Then x can be written as x = 2k for some integer k. Substituting this into x³, we get:
x³ = (2k)³ = 8k³ = 2(4k³)
Since 4k³ is an integer, this shows that x³ is even.
Now, assume that x³ is even. This means that x³ is divisible by 2. We can write x³ as x³ = 2m for some integer m. Taking the cube root of both sides, we get:
x = (2m)*(1/3)
If x is an integer, then (2m)*(1/3) must also be an integer. However, the only way for the cube root of an even number to be an integer is if the original number is even. Therefore, x must be even.
Proof of "z is irrational if and only if -z is irrational":
First, assume that z is irrational. By definition, this means that z cannot be expressed as the ratio of two integers. Now suppose that -z is rational. This means that -z can be expressed as the ratio of two integers, say -z = p/q, where p and q are integers and q is not equal to 0. Multiplying both sides of the equation by -1, we get:
z = -p/q
This shows that z can be expressed as the ratio of two integers, which contradicts our assumption that z is irrational. Therefore, if z is irrational, then -z must also be irrational.
Now, assume that -z is irrational. By definition, this means that -z cannot be expressed as the ratio of two integers. We can rewrite this as z = (-1)(-z), which means that z is the product of -1 and a number that is not the ratio of two integers. Multiplying a number by -1 does not change its irrationality, so z must also be irrational. Therefore, if -z is irrational, then z must also be irrational.
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In the rhombus shown below, Angle 1 has a measure of 140 degrees. What are the measures of Angles 2 and 3? Be sure to explain how you know.
The measure of angle 2 is 140 and <3 is 20 degree.
What is Rhombus?A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.
As, Rhombus have angles which are opposite to each other are equal.
So, <1 = <2 = 140
Also, Consecutive angles are equal to 180° which shows the angle between <1 and <2 measure
= 180- 140
= 40
and, <3 = 1/2 <1
<3 = 1/2(40)= 20
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Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 2x^2 - 4x + 6. Complete parts a through d below. Find the average rate of change of profit as x changes from 3 to 5. $ ____ per item
The average rate of change of profit as x changes from 3 to 5 is $12 per item.
How to determine the average rate of changeTo find the average rate of change of profit as x changes from 3 to 5, we need to find the change in profit divided by the change in x over that interval:
Average rate of change = (P(5) - P(3)) / (5 - 3)
We can find P(5) and P(3) by plugging those values of x into the profit equation:
P(5) = 2(5)^2 - 4(5) + 6 = 36
P(3) = 2(3)^2 - 4(3) + 6 = 12
Substituting these values, we get:
Average rate of change = (36 - 12) / (5 - 3)
Average rate of change = 24 / 2
Average rate of change = 12
Hence, the average rate is $12 per item.
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3. The following data below represents the running times of six movies. Find
the standard deviation of the running times. Give your answer to the
nearest hundredth of a minute.
Movie
Running
Time
A
1 hr
47 min
B
1 hr
32 min
C
2 hr
14 min
D
1 hr
56 min
2 hr
32 min
F
3 hr
2 min
3.
The standard deviation of the movie times is given as follows:
27.7 minutes.
How to obtain the standard deviation of the data-set?Considering that an hour has 60 minutes, the time in minutes of each movie is given as follows:
107 minutes, 92 minutes, 134 minutes, 116 minutes, 152 minutes, 182 minutes.
The mean of a data-set is given by the sum of all observations divided by the number of observations, hence:
Mean = (107 + 92 + 134 + 116 + 152 + 182)/6
Mean = 130.5 minutes.
The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, hence:
s = sqrt([(107-130.5)² + (92-130.5)² + (134-130.5)² + (116-130.5)² + (152-130.5)² + (182-130.5)²]/7)
s = 27.7 minutes.
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Please help me its linear equations.
Answer:
A: -5B: -6greaterStep-by-step explanation:
You want the y-intercepts of the relation y -5 = -5/2(x +4) and the one shown in the graph.
Y-interceptThe y-intercept of a function is its value when x=0. It is the y-value where the graph crosses the y-axis.
ASetting x=0, we can solve for y:
y -5 = -5/2(0 +4) = -10
y = -5 . . . . . . . . add 5; this is the y-intercept
The y-intercept of Line A is -5.
BThe graph crosses the y-axis at y = -6.
The y-intercept of Line B is -6.
The y-intercept of Line A is greater than the y-intercept of Line B.
105 is 33 1/3 of what number?
Answer:
≈ 315
Step-by-step explanation:
To find the number that 105 is 33 1/3 of, we can use algebra.
Let x be the number we are looking for. Then we can write the equation:
105 = (33 1/3)% of x
To solve for x, we can first convert the percentage to a decimal by dividing by 100:
33 1/3% = 33 1/3 ÷ 100 = 0.3333
Substituting this in the equation, we get:
105 = 0.3333x
To solve for x, we can divide both sides by 0.3333:
x = 105 ÷ 0.3333
Using a calculator, we get:
x ≈ 315
Therefore, 105 is 33 1/3 of 315.
The number of hours of daylight on the summer
solstice (the 172nd day of the year) is 15.3 and
the number of hours of daylight on the winter
solstice (the 355th day of the year) is 9.1.
Complete the function below to model this data.
Hint: The period is 365 days.
The completed function to model the data is:
[tex]y = 3.1cos(\frac{2\pi }{365} (x-15.3)) + 12.2[/tex]
What is Amplitude?A periodic variable's amplitude is a gauge of its change over a single period.
A non-periodic signal's magnitude in relation to a standard value is its amplitude. There are several ways to define amplitude, and they are all dependent on how much the extreme values of the variable deviate from one another.
To find the amplitude:
max - min/2=15.3-9.1/2
= 3.1
The wavelength is 365
The midpoint is 12.2
The max position is 15.3
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Suppose you are working on your taxes using a Microsoft Excel spreadsheet. Cell B3 shows the total amount of income tax you paid. Cell B2 shows the total amount of tax for which you are responsible. You want to write a formula that looks to see if the amount that you paid is greater than the amount that you were responsible for.
If it is, then subtract the amount you were responsible from the amount you paid and round this difference to the nearest whole number.
Otherwise, display zero
A. =IF(B3>B2, ROUND(B2 – B3, 0), 0)
B. =ROUND(IF(B3>B2, B3 – B2, 0), 0)
C. =IF(B3>B2, ROUND(B3 – B2, 0), 0)
D. =IF(B2>B3, ROUND(B3 – B2, 0), 0)
The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).
What is the use of IF and ROUND functions in Microsoft Excel?The IF and ROUND functions are two commonly used functions in Microsoft Excel. Here's a brief explanation of each:
IF Function:
The IF function allows you to test whether a certain condition is true or false, and then perform a specific action based on the result of that test. The basic syntax of the IF function is as follows:
=IF(logical_test, value_if_true, value_if_false)
Here, the "logical_test" is the condition that you want to test. If this condition is true, then Excel will return the "value_if_true". If the condition is false, Excel will return the "value_if_false".
For example, suppose you have a cell A1 that contains a number. You could use the IF function to test whether that number is greater than 10, and then return "Yes" if it is, and "No" if it isn't, using the following formula:
=IF(A1>10, "Yes", "No")
ROUND Function:
The ROUND function allows you to round a number to a specific number of decimal places. The basic syntax of the ROUND function is as follows:
=ROUND(number, num_digits)
Here, the "number" is the number that you want to round, and the "num_digits" is the number of decimal places to which you want to round. If the "num_digits" is positive, then the function will round to the specified number of decimal places to the right of the decimal point. If the "num_digits" is negative, then the function will round to the left of the decimal point.
For example, suppose you have a number in cell A1 that contains many decimal places, and you want to round it to two decimal places. You could use the ROUND function as follows:
=ROUND(A1, 2)
This will round the number in cell A1 to two decimal places.
Here,
The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).
This formula uses the IF function to check whether the amount paid (B3) is greater than the amount for which the person is responsible (B2). If this is true, then it subtracts the amount for which the person is responsible from the amount paid and rounds the difference to the nearest whole number using the ROUND function. If the amount paid is not greater than the amount for which the person is responsible, then the formula displays zero.
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how would u descripe the graph for the equation |x|=2
What is modulus ?
In complex analysis, the modulus of a complex number z = a + bi is a measure of its distance from the origin in the complex plane. Specifically, the modulus is defined as |z| = sqrt(a^2 + b^2), where sqrt denotes the square root. Geometrically, |z| represents the length of the line segment from the origin to the point (a, b) in the complex plane.
Explanation:
The equation |x| = 2 represents the absolute value of x equals 2.
The graph of this equation will be a V-shaped graph that intersects the x-axis at x = -2 and x = 2, and the y-axis at y = 2. The vertex of the V-shaped graph is at the origin (0, 0).
Visually, the graph will look like two lines that start at the origin and extend upwards and downwards at a 45-degree angle, forming a V-shape. The two lines will be symmetric to the y-axis, meaning that the left half of the graph will be a mirror image of the right half.
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The function h(x) = (x +9) can be expressed in the form f(g(x)) where f(x) = x³, and g(x)
is defined below:
g(x)=
Answer:
g(x) = x + 3
Step-by-step explanation:
To see how this works, we can plug g(x) into f to get:
f(g(x)) = f(x + 3) = (x + 3)^3
Then, we can simplify h(x) = (x + 9) as follows:
h(x) = (x + 9) = ((x + 3) + 6) = g(x) + 6
Finally, we can write h(x) in terms of f(g(x)) as:
h(x) = g(x) + 6 = f(g(x)) + 6 = f(x + 3) + 6 = (x + 3)^3 + 6
I'm quite confused on what I'm supposed to do here.
Hiya,
We literally just learnt about congruent shapes before the holidays.
I think it's like this-
If the shape is an SSS (Side, Side, Side) congruent or SAS (Side, Angle, Side), then you do the following:
a) Write the congruent statement... I'm not sure what the congruent statement is but it may be something you have learnt to do previously like an expression on revealing how to find the congruent shape and what type it is.
b) Sorry I'm not sure what a postulate is you may need to look back at your notes or research it.
I have attached images of the worksheet we were given in class which may or may not help!
Answer:
6. ΔANG ≅ ΔRWT by SAS Postulate.
7. The two triangles are congruent by SAS Postulate.
Step-by-step explanation:
Side-Angle-Side Postulate (SAS)If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, the triangles are congruent.
Question 6The included angle is the angle between two sides of a triangle.
Therefore:
The included angle between AN and GN is angle N.The included angle between RW and TW is angle W.We are told that AN ≅ RW, GN ≅ TW, and ∠N ≅ ∠W.
Therefore, as two sides and the included angle in triangle ANG is congruent to the two sides and the included angle in triangle RWT, the SAS Postulate can be used to prove that the triangles are congruent.
Question 7The two given triangles have two sides of equal length, denoted by the same number of tick marks on each congruent line segment. The included angles are also congruent (both are 90°). Therefore, the SAS Postulate can be used to prove that the triangles are congruent.
can somebody please help me
find the value of x
Answer:
x = 40
Step-by-step explanation:
Alternate exterior angles are congruent (equal).
2x + 16 = 96 Subtract 16 from both sides
2x + 16 -16 = 96 - 16
2x = 80 Divide both sides by 2
x = 40
Answer:
x=40
Step-by-step explanation:
Maureen has a Jump rope that is 62 inches long nancys jump rope is 10 inches longer how long is nancys jump rope?
Answer: 6 feet long
Step-by-step explanation:
1ft. = 12 in
62 inches = 5 feet and 2 inches
Break down 62 into 60 and 2
60 divided by 12 = 5 (12x5=60)
60in. = 5ft.
2in. = 2in.
5ft. and 2in.
10in.= 10in.
Add the inches
10in. + 2 in. = 12 in.
12in.= 1ft.
5ft. + 1ft. = 6ft.
Answer: Nancy’s rope is 6ft. long
Find the real solution(s) of the equation (x+10)5=70.
Answer:
x = 4
Step-by-step explanation:
(4 + 10)
14 x 5 = 70
~ LadyBrainiac
Drag one or more expression into each letter space (a,b,c,d) to create an equation that is true for all values of x. (Assume no denominator equals zero)
(3/x+2)+(4/x)+(2/x^2)=(3(a)+4(b)+2(c)/d)
X^2(x+2)
X(x+2)
X^2
X
(X+2)
The expression into each letter space (a,b,c,d) to create an equation that is true for all values of x is X(x+2),X,(X+2),X^2.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The equation with a,b,c,d=(3/x+2)+(4/x)+(2/x^2)=(3(a)+4(b)+2(c)/d)
Now,
=(3/x+2)+(4/x)+(2/x^2)
=3/x + 2x/2 + 4/x + 2/x^2
=(3+2x)/x+4/x+2/x^2
Therefore, the answer of the expression will be X(x+2),X,(X+2),X^2.
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write the system as a vector equation where the first equation of the system corresponds to the first row. select the correct choice below and fill in any answer boxes to complete your choice.
The system of equations can be represented as a vector equation A x = b, where A is the coefficient matrix, x is the variable vector, and b is the constant vector.
Using matrices and vectors, a system of linear equations can be expressed as a vector equation. Consider a set of n variables and m linear equations. It may be written as follows:
A x = b
where A is a m x n matrix of the coefficients of the variables, x is a n x 1 column vector of the variables, and b is a m x 1 column vector of the constants on the right-hand side of each equation.
To match the rows of the system of equations to the corresponding row of the matrix A and vector b in the vector equation, we can represent the system of equations as:
a 21 x 1 + a 22 x 2 +... + a 2n x n = b 2 a 11 x 1 + a 12 x 2 +... + a 1n x n = b 1
a mn x n = b m, where a m1 x 1 = a m2 x 2 +...
The vector form of this is as follows:
Beginning with "a 11" and "a 12," adding "cdots and a 1n," going on to "a 21" and "a 22," adding "cdots and a 2n," adding "vdots and vdots and ddots and vdots," ending with "a m1" and "a m2," adding "cdots and a mn,"
With A serving as the coefficient matrix, x serving as the variable vector, and b serving as the constant vector, the system of equations can thus be expressed as a vector equation, A x = b.
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Each year an organization raises money to offer Berkeley College students scholarships. They currently have raised $14,300. This represents 58% of the money they raise. Determine the amount of money the organization will raise in total.
The amount of money the organization will raise in total is $25655.17.
What is percentage?A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. Thus, a part per hundred is what the percentage refers to. Percent signifies for every 100.
Let us suppose the total amount raised = T.
Given that, $14,300 is 58% of the total amount we have:
T (58%) = 14300
T (58/100) = 14300
T = 14300(100)/58
T = 25655.17
Hence, the amount of money the organization will raise in total is $25655.17.
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Five Factors Effecting the
Economic
Environment
Financial State
Ecological Environment
Production Facilities
- Personal
expertise
growth of food service industry
Answer:
environment .. pollution
growth if of food.... wealthy too much rain or no rain
A random sample of n1 = 272 people who live in a city were selected and 112 identified as a religious person. A random sample of n2 = 105 people who live in a rural area were selected and 53 identified as a religious person. Find the 90% confidence interval for the difference in the proportion of people that live in a city who identify as a religious person and the proportion of people that live in a rural area who identify as a religious person.
Round answers to 2 decimal places, use confidence interval notation :
Answer:
Step-by-step explanation:
To find the 90% confidence interval for the difference in proportions, we can use the following formula:
CI = (p1 - p2) ± zα/2 * √( (p1 * (1-p1) / n1) + (p2 * (1-p2) / n2) )
where:
p1 and p2 are the sample proportions from the city and rural area, respectively
n1 and n2 are the sample sizes from the city and rural area, respectively
zα/2 is the critical value from the standard normal distribution for a 90% confidence level, which is 1.645
First, we need to calculate the sample proportions:
p1 = 112 / 272 = 0.4118
p2 = 53 / 105 = 0.5048
Next, we can plug in the values and calculate the confidence interval:
CI = (0.4118 - 0.5048) ± 1.645 * √( (0.4118 * (1-0.4118) / 272) + (0.5048 * (1-0.5048) / 105) )
CI = (-0.146, -0.031)
Therefore, the 90% confidence interval for the difference in proportions is (-0.146, -0.031). This means we are 90% confident that the true difference in proportions of religious people between the city and rural areas lies between -0.146 and -0.031. Since this interval does not include zero, we can conclude that the proportion of religious people is significantly different between the two areas.
Bryan puts $200.00 into an account to use for school expenses. The account earns 3% interest, compounded monthly. How much will be in the account after 5 years?
Given (x – 7)2 = 36, select the values of x.x = 13x = 1x = –29x = 42
Answer:
The values of x are 1, 13, -29, and 42.
Pls help !!!! will give 100 points and brainliest
a) xᵃ/xᵇ = xᵃ⁻ᵇ
b) xᵃ x xᵇ = xᵃ⁺ᵇ
c) x⁰ = 1
d) (xᵃ)ᵇ = xᵃˣᵇ
e) x⁻ᵃ = 1/xᵃ
indices are a method used in solving a variable in which the power or exponent of a number is raised to a number of variables
These questions are part of the basic theorems or rules of indices
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according to kepler's third law, a hypothetical planet that is twice as far from the sun as earth should hvae an orbital period of
Orbital period of the planet is 2√2 earth years
What is Kepler's third law?According to Kepler's third law, the square of a planet's orbital period is proportional to the cube of its semi major axis.
T² α a³
where, T is orbital period and a is length of semi-major axis.
Given,
Distance between the sun and the planet
= twice the distance of sun and earth
Let distance between sun and earth a₁ = d
then distance between planet and sun a₂= 2d
Orbital period of earth T₁ = 1 earth year
By Kepler's third law
T² α a³
(T₁/T₂)² = (a₁/a₂)³
(1/T₂)² = (D/2D)³
1/T₂² = 1/8
T₂ = 2√2 earth years
Hence, 2√2 earth years is the orbital period of other planet.
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