The amount it will cost to recarpet the the whole room is $891.12
What is area ?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
For example, the area of a circle is given as: A = πr², where r is the radius and π is constant.
The room takes the shape of a rectangle, therefore,
Area of the room = l× w, where l is the length and w is the width.
Area = 3×8 = 24 m²
The cost of 1m² = $33.38
therefore the cost for 24m²
= 24× 33.8
= $801.12
therefore the cost to recarpet the room is $801.12
learn more about area from
https://brainly.com/question/25292087
#SPJ1
11. Tyrell buys an organizer for his baseball cards that costs $12.99. He can
add pages to the organizer to hold the cards. Each page costs $2.75 and
holds 9 cards. If Tyrell has 100 cards, how much will it cost him to organize
them? Write and evaluate a numeric expression.
On solving the provided question we can say that - 12.99(y - 9) + 2.75y = 100 , by solving, the expression x = 11.2, y = 19
What is linear equation?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
let x be the base ball cards.
and y be page card.
x + y = 9 -------------------1
12.99x + 2.75y = 100-------------------2
12.99(y - 9) + 2.75y = 100
by solving
x = 11.2
y = 19
Learn more about Linear equation
brainly.com/question/11897796
#SPJ1
assume that there is no relationship between favorite hogwarts elective and hogwarts house among all witches and wizards who attended hogwarts 1. what is the expected chi-square test statistic value? 2. what is the standard deviation?
Answer: To answer this question, we need to know the number of individuals in each combination of Hogwarts elective and house. Without this information, we cannot calculate the expected chi-square test statistic value or the standard deviation.
Assuming we have this information, we can calculate the expected chi-square test statistic value as follows:
Set up a contingency table with the observed frequencies in each cell and the row and column totals.
Calculate the expected frequency for each cell by multiplying the row total by the column total and dividing by the total sample size.
Calculate the chi-square test statistic by summing the squared differences between the observed and expected frequencies for each cell and dividing by the expected frequency for each cell.
The formula for the standard deviation of the chi-square test statistic depends on the degrees of freedom, which is equal to the number of rows minus one multiplied by the number of columns minus one. Once we have calculated the expected chi-square test statistic value and degrees of freedom, we can calculate the standard deviation using the formula:
sqrt(2 * df)
where "df" is the degrees of freedom.
Without the necessary information about the frequencies, we cannot provide a numerical answer to this question.
Step-by-step explanation:
Jerome is a photographer. He earns $125 per hour
(d) Part D
Create a graph of the data from the table.
The graph of the data from the table is added as an attachment
Creating a graph of the data from the table.From the question, we have the following parameters that can be used in our computation:
Jerome is a photographer. He earns $125 per hour
This means that the equation of the function is
f(x) = 125x
Where x is the number of hours he works
Using the above as a guide, we have the following table of values
x f(x)
1 125
2 250
3 375
4 500
5 625
6 750
Next, we plot the graph from the table of values and the function f(x) = 125x
The graph of the function is added as an attachment
Read more about linear relation at
https://brainly.com/question/30318449
#SPJ1
What is the volume and total surface area of each shape combined?
The volume and total surface area of each shape combined is calculated below.
How to find the volume and total surface area of each shape combined?For cone-hemisphere shape
Volume = volume of cone + volume of hemisphere
Volume = 1/3πr²h + 2/3πr³
where r = 9/2 = 4.5 m
h = √(13² - 4.5²) (Pythagoras)
h = 12.20 m
Volume = 1/3πr²h + 2/3πr³
Volume = (1/3 * 3.14 * 4.5² * 12.2) + (2/3 * 3.14 * 4.5³)
Volume = 449.33 m³
Surface area = curved surface area of cone + curved surface area of hemisphere
Surface area = πrl + 2πr², where l = 13 m
Surface area = (3.14 * 4.5 * 13) + (2 * 3.14 * 4.5²)
Surface area = 310.86 cm²
For hemisphere-cylinder shape
Volume = volume of hemisphere + volume of cylinder
Volume = 2/3πr³ + πr²h
where r = 22/2 = 11 ft
height of cylinder (h) = 45 - 11 = 34 ft
Volume = (2/3 * 3.14 * 11³) + (3.14 * 11² * 34)
Volume = 15704.19 ft³
Surface area = curved surface area of hemisphere + curved surface area of cylinder + curved surface area circular base of cylinder
Surface area = 2πr² + πr² + 2πrh
Surface area = 3πr² + 2πrh
Surface area = (3 * 3.14 * 11²) + (2 * 3.14 * 11 * 34)
Surface area = 3488.54 ft²
Learn more about volume on:
https://brainly.com/question/463363
#SPJ1
HELP 50 PONITS, THIS IS DUE TODAY HELP
Graph the inverse for each relation below-show answers right over the existing graph on the same
plane. 3 points each
The inverse of the graphs are added as an attachment
Plotting the inverse of the graphTo plot the inverse of a graph, you can follow these steps:
Start with a function f(x).Replace f(x) with y.Swap the x and y variables so that the equation is in terms of x and y.Solve for y to get y = f^(-1)(x), which represents the inverse function.Plot the original function f(x) on a coordinate plane.Reflect the graph of f(x) across the line y = x to get the graph of fSee attachment for the graphs
Read more about inverse functions at
brainly.com/question/3831584
#SPJ1
Violets gross annual income is $57,903 she is paid biweekly and has 7% deducted from her paycheck for her 401(k) her employer matches her deduction up to 5%
A) How much is deducted from her paycheck for her 401(k)
B) How much is deposited into her retirement plan each day
a) $155.61 is deducted from Violet's paycheck for her 401(k).
b) $19.05 is deposited into Violet's retirement plan each day.
The deduction and amount depositedA) To calculate how much is deducted from Violet's paycheck for her 401(k), we need to find her biweekly gross income and then calculate 7% of it.
Violet's biweekly gross income can be found by dividing her annual income by the number of biweekly pay periods in a year, which is 26:
Biweekly gross income = $57,903 / 26 = $2,223
Now, we can calculate the amount that is deducted from Violet's paycheck for her 401(k):
401(k) deduction = 7% of $2,223 = 0.07 x $2,223 = $155.61
Therefore, $155.61 is deducted from Violet's paycheck for her 401(k).
B) To calculate how much is deposited into Violet's retirement plan each day, we need to first find out how much is deposited each pay period.
Violet contributes 7% of her biweekly gross income to her 401(k), which is $155.61 as calculated above. Her employer matches up to 5% of her contribution, so the total contribution to her retirement plan each pay period is:
Total contribution = Violet's contribution + employer's contribution
= $155.61 + (5% of $2,223)
= $155.61 + $111.15
= $266.76
There are 14 days in a biweekly pay period, so we can calculate how much is deposited into Violet's retirement plan each day:
Daily deposit = Total contribution / number of days in pay period
= $266.76 / 14
= $19.05
Therefore, $19.05 is deposited into Violet's retirement plan each day.
Learn more on gross annual income https://brainly.com/question/30101869
#SPJ1
If a square has an area of 94 square units. How big is its side length?
The requried side length of the square is approximately 9.695 units.
To find the side length of a square with an area of 94 square units, we need to take the square root of the area.
a² = 94
a = √94
a ≈ 9.695
Therefore, the side length of the square is approximately 9.695 units.
Learn more about Square here:
https://brainly.com/question/1658516
#SPJ1
HELP GEOMETRY WILL GIVE BRAINLY PLEASE SHOW STEPS
Answer:
396 pi mm²
Step-by-step explanation:
The surface area of a cylinder:
The total surface area (A) of a cylinder is calculated by adding the areas of the two bases and the lateral surface area.
A = 2πr^2 + 2πrh
Given:
The surface area of the first cylinder (A1) = 594π mm^2
Height of the first cylinder (h1) = 24 mm
Height of the second cylinder (h2) = 16 mm
We can use the property of similarity and set up the proportion:
A1 / A2 = (h1 / h2)^2
Plugging in the given values, we get:
594π / A2 = (24 / 16)^2
Simplifying, we get:
594π / A2 = 3/2)^2
594π / A2 = 9/4
Cross-multiplying, we get:
A2 = (594π * 4) / 9
A2 = 264π mm^2
So, the correct surface area of the second cylinder is 264π mm^2.
What happens when the function f(x) = 2 sin(2) is transformed by the rule g (w) = - f(x)?
• f(x) is stretched away from the x-axis by a factor of 2 and is reflected over the x-axis.
O f(x) is reflected over the y-axis.
O f(x) is reflected over the x-axis.
• f(x) is compressed toward the y-axis by a factor of 1/2 and is reflected over the y-axis
Answer:
• f(x) is stretched away from the x-axis by a factor of 2 and is reflected over the x-axis.
Step-by-step explanation:
The function f(x) = 2sin(2x) has an amplitude of 2 and a period of π/2. When we apply the rule g(w) = - f(x), we are reflecting the graph of f(x) over the x-axis and then taking its opposite. This means that the amplitude of g(w) will still be 2, but the graph will be reflected and stretched away from the x-axis by a factor of 2.
I hope it helps you
What is ¨the amount of space in a gift box for earrings¨ unit of measurement
A - Square meters
B - Yards
C - Cubic inches
D - Cubic feet
E - Square centimeters
The amount of space in a gift box for earrings would typically be measured in cubic inches (C).
how to solve the question?
Cubic inches is a unit of volume that is commonly used to measure the capacity of small, enclosed spaces like boxes, containers, and packaging. It is defined as the volume of a cube that measures one inch on each side.
For a gift box designed to hold earrings, the volume of the box would need to be sufficient to accommodate the size of the earrings and any additional padding or decorative elements. Since earrings are small, the gift box would likely have a small volume, measured in cubic inches.
Other units of measurement, like square meters or yards, are used to measure the area of two-dimensional surfaces like floors, walls, or yards. Square centimeters are also a unit of area measurement, but they are much smaller than square meters or yards, and may be used to measure the surface area of small objects.
Cubic feet is a larger unit of volume measurement that may be used for larger boxes or containers, like shipping crates or storage bins. However, for a gift box designed specifically for earrings, cubic inches is likely the most appropriate unit of measurement.
To know more about measurement visit :-
https://brainly.com/question/27233632
#SPJ1
URGENT - Will also give brainliest to simple answer
Answer:
160°/360° = area/(π(5^2))
area = 25π(4/9) = 100π/9 square inches
Circumference = (4/9)π(5) = 20π/9 inches
most people complain that they gain weight during the december holidays. to find out how much, we sample the weights of 23 adults in mid-november and again in early to mid-january. the mean weight change for the sample was a gain of 0.11 lbs., with a standard deviation of the differences of 5.25 lbs. find a 82% confidence level for the average weight gain.
With 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.
To find the 82% confidence interval for the mean weight gain over the holidays in December, you can use the following formula:
[tex]CI = xd ± t*(SDd/sqrt(n))[/tex]
where:
xd = average weight change of sample (0.11 lb increase)
SDd = standard deviation of weight difference (5.25 lbs)
n = sample size (23)
t = the critical value of the t distribution with n-1 degrees of freedom and the desired confidence level (82% in this case)
You can use a t-table or a calculator to find the critical value of the t-distribution. With 22 degrees of freedom (n-1) and an 82% confidence level, the critical value is approximately 1.319.
Plugging in the given values gives:
[tex]CI = 0.11 ± (1.319*(5.25/sqrt(23))) = (-1.25, 1.47)[/tex]
Therefore, we can say with 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.
Note that the confidence intervals include zero. This means that we cannot reject the null hypothesis that there is no significant difference in weight between mid-November and he early-to-mid-January.
However, this does not necessarily mean no weight gain during his December vacation, as there is individual variation in weight change within the sample.
learn more about standard deviation
brainly.com/question/23907081
#SPJ4
PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS
If PQRS are points on a circle with the centre O, PS is a diameter of the circle Angle PQR=136, the measure of angle RPS is 88 degrees.
Since QR is parallel to PS, we can use alternate interior angles to determine that angle QPS is equal to angle PQR. This means that angle QPS is also 136 degrees.
Angle PQR and angle QPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.
We can use this fact to find the measure of angle RPS. First, we know that the sum of angles in a quadrilateral is 360 degrees. Therefore, we can find the measure of angle PSR as follows:
Angle PSR = 360 degrees - Angle PQR - Angle QPS
Angle PSR = 360 degrees - 136 degrees - 136 degrees
Angle PSR = 88 degrees
Next, we use the fact that angles at the circumference of a circle subtended by the same arc are equal. Angle PSR and angle RPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.
Angle RPS = Angle PSR = 88 degrees
To learn more about circle click on,
https://brainly.com/question/23718393
#SPJ4
Complete question is:
PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS
Does anyone help me with this?
Answer:
20/8 or 20:8
Step-by-step explanation:
Ok, so we start off with a smaller square with one side being 8.
We then have to go from one side being 8 to one side being 20.
So, the ratio has to be a number larger than 1 to go from smaller to larger, so we can use the ratio of 20/8 (or 2.5).
Check:
2.5x8=20
1. Calculate the area of the following parallelogram:
28 in²
26 in²
40 in²
30 in²
Option D is correct, the area of given parallelogram is 30 square inches
Parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Area of parallelogram =bh
=10×3
=30 square inches
To learn more on Area click:
https://brainly.com/question/20693059
#SPJ1
Airplane tickets to Fairbanks Alaska, will cost $958 each. Airplane tickets to Vancouver but I will call $734. How much can a four members of the Harrison family save on airfare by vacationing in Vancouver?
A four members of the Harrison family save $896 on airfare by vacationing in Vancouver.
Here, the airplane tickets to Fairbanks Alaska will cost $958 each.
⇒ c₁ = $958
where c₁ represents the airfare to Fairbanks Alaska
and the airplane tickets to Vancouver Canada will cost $734.
⇒ c₂ = $734
Let us assume that s represents the amount of savings per ticket.
⇒ s = c₁ - c₂
⇒ s = 958 - 734
⇒ s = $224
Since there are four members in the family.
So using unitary method the total savings would be,
⇒ t = 4 × s
⇒ t = 4 × 224
⇒ t = $896
Therefore, the total savings = $896
Learn more about the unitary method here;
https://brainly.com/question/28276953
#SPJ4
The complete question is:
Airplane tickets to Fairbanks Alaska will cost $958 each. Airplane tickets to Vancouver Canada will cost $734. How much can the four members of a Harrison family save on airfare by vacationing in Vancouver?
HELP I HAVE THE IQ OF A FISH PLEASE
Answer:
14
Step-by-step explanation:
28 mm is the diameter of the button, so we have to find the radius, which is half of the diameter.
28/2=14
So, the radius of this button is 14 mm
PLEASE HELP
Consider this system of equations.
system
(PICTURE 1)
The system can be represented by the following matrix equation where A is a 3×3 matrix and b is a 3D vector
(PICTURE 2)
The matrix of dependent coefficients and the vector column of independent variables of the system of linear equations are:
[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]
[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]
How to represent a system of linear equation by matrices
In this question we find a representation of a system of three linear equations with three variables {x, y, z}. This system can be described by following expression according to linear algebra:
[tex]\vec A \,\bullet \,\vec x = \vec B[/tex]
Where:
[tex]\vec {A}[/tex] - Matrix of dependent coefficients. [tex]\vec x[/tex] - Vector column of variables. [tex]\vec B[/tex] - Vector column of independent variables.Please notice that operator "•" represents a dot product.
Then, the matrix of dependent coefficients and the vector column of independent variables are, respectively:
Matrix of dependent coefficients
[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]
Vector column of independent variables
[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]
To learn more on systems of linear equations: https://brainly.com/question/29775795
#SPJ1
#6 write it in y=MX+B
Carmine mixes 2. 8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each portion weighs 1. 5 pounds. Which equation and solution shows the total amount of almonds he used in the mixture?
According to the equation, Carmine used 4.7 pounds of almonds in the mixture.
To represent this relationship mathematically, we can use an equation. Let's use "a" to represent the weight of the almonds in pounds. Then, we can write:
2.8 + a = total weight of the trail mix
We can then solve for "a" by subtracting 2.8 from both sides of the equation:
a = total weight of the trail mix - 2.8
We also know that the trail mix is divided into 5 equal portions, each weighing 1.5 pounds. Therefore, the total weight of the trail mix is:
total weight of the trail mix = 5 * 1.5
total weight of the trail mix = 7.5
Substituting this value into the equation we derived earlier, we get:
a = 7.5 - 2.8
a = 4.7
To know more about equation here
https://brainly.com/question/10413253
#SPJ4
Can a binomial probability distribution with p =.10 and n = 40 be approximated by the normal probability distribution? If so, what are the mean and standard deviation for the normal approximation?
The normal approximation for the given binomial distribution with p = 0.10 and n = 40 has a mean of 4 and a standard deviation of 1.93.
The binomial probability distribution can be approximated by the normal distribution when certain conditions are met, such as a large sample size and a probability of success not too close to 0 or 1.
In this case, n = 40 and p = 0.10. To determine if the normal approximation is appropriate, we can check if both np and n(1-p) are greater than or equal to 10
np = 40 x 0.10 = 4
n(1-p) = 40 x 0.90 = 36
Both np and n(1-p) are greater than or equal to 10, so the normal approximation is appropriate.
The mean of the binomial distribution is given by μ = np = 4, and the standard deviation is given by σ = √(np(1-p)) = √(40 x 0.10 x 0.90) ≈ 1.93.
To find the mean and standard deviation of the normal approximation, we use the same mean and standard deviation values
μ = np = 4
σ = √(np(1-p)) ≈ 1.93
Learn more about binomial probability distribution here
brainly.com/question/30786502
#SPJ4
Buddy punted a football during game on Friday. The height of a punted football can be modeled with the quadratic function h(x) = −.02x2 + 1.2x + 4 where x is the horizontal distance in feet from the point of impact with the kicker's foot and h is the height of the ball in feet. Buddy calculated the maximum height of his punt in the box below. Is his answer correct? If not, explain and correct the error in the your work column.
Buddy's answer of 19 feet for the maximum height of his punt is correct, based on the given quadratic function.
How to solve the question?
To determine the maximum height of the punt, we need to find the vertex of the parabolic function h(x) = −.02x² + 1.2x + 4, which represents the height of the football at any given horizontal distance x from the point of impact.
The vertex of a parabola in the form y = ax² + bx + c can be found using the formula x = -b / 2a, which gives the x-coordinate of the vertex, and then substituting that value into the function to find the corresponding y-coordinate.
In this case, we have a = -.02, b = 1.2, and c = 4. So the x-coordinate of the vertex is x = -b / 2a = -1.2 / (2*(-.02)) = 30, and the corresponding maximum height is h(30) = -.02(30)2 + 1.2(30) + 4 = 19 feet.
Therefore, Buddy's answer of 19 feet for the maximum height of his punt is correct, based on the given quadratic function.
To know more about parabola visit :-
https://brainly.com/question/64712
#SPJ1
(1 point) a 17 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 16 feet above the ground?
When the top of the ladder is 16 feet above the ground, the foot of the ladder is moving away from the wall at a speed of approximately 3.86 feet per second.
This is a related rates problem involving a ladder leaning against a wall. Let's denote the distance of the foot of the ladder from the wall as x, and the height that the top of the ladder reaches as y. We are given that dy/dt = -2 ft/s (since the top is slipping down the wall) and we want to find dx/dt (the speed at which the foot of the ladder is moving away from the wall) when y = 16 ft.
Using the Pythagorean theorem, we have:
[tex]x^2 + y^2 = 17^2[/tex]
Differentiating implicitly with respect to time, we get:
[tex]2x(dx/dt) + 2y(dy/dt) = 0[/tex]
Substituting the given values, we get:
[tex]2x(dx/dt) + 2(16)(-2) = 0[/tex]
Simplifying, we get:
[tex]2x(dx/dt) = 64[/tex]
Dividing both sides by 2x, we get:
dx/dt = 64/(2x)
We know that y = 16, so we can use the Pythagorean theorem to solve for x:
[tex]x^2 + 16^2 = 17^2x^2 = 17^2 - 16^2x^2 = 33[/tex]
Taking the square root, we get:
[tex]x = sqrt(33)[/tex]
Substituting this into our expression for dx/dt, we get:
[tex]dx/dt = 64/(2*sqrt(33)) ≈ 3.86 ft/s[/tex]
Therefore, when the top of the ladder is 16 feet above the ground, the foot of the ladder is moving away from the wall at a speed of approximately 3.86 feet per second.
Learn more about Pythagorean theorem
https://brainly.com/question/14930619
#SPJ4
Austin collected 30 9/10 kg of glass for music going exactly 2/3 of the glass he collected was blue glass. What was the total amount in kilograms of blue class Austin collected
Answer:
20 3/5
Step-by-step explanation:
this is the correct result when 30 9/10 is multipled by 2/3
If KL=12 and LM=7, what is JL? Write your answer as a whole number or as a decimal rounded to the nearest hundredth. JL =
The length of JL is 20.572.
Describe Angles?An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex of the angle. Angles are measured in degrees or radians, and they are used to describe the relationships between lines and shapes in geometry.
The size of an angle is determined by the amount of rotation needed to bring one of the rays into coincidence with the other. A full rotation around the vertex is equivalent to 360 degrees or 2π radians. A right angle, which is formed by one ray perpendicular to another, has a measure of 90 degrees or π/2 radians.
Angles can be classified according to their measures as acute angles (less than 90 degrees), right angles (exactly 90 degrees), obtuse angles (between 90 and 180 degrees), straight angles (exactly 180 degrees), and reflex angles (between 180 and 360 degrees).
Angles also have a number of important properties and relationships, such as vertical angles (formed by two intersecting lines and are congruent), complementary angles (two angles whose measures sum up to 90 degrees), and supplementary angles (two angles whose measures sum up to 180 degrees).
cos A= (leg adjacent to ∠A)/hypotenuse: cos(∠KLM)= [tex]\frac{LM}{KL}[/tex]
Substitute, LM= 7, KL= 12 : cos(∠KLM)= [tex]\frac{7}{12}[/tex]
Calculate cos(∠KLM)= [tex]\frac{7}{12}[/tex] : ∠KLM= 54.315°
Representing same angles: ∠JLK= ∠KLM
Substitute ∠KLM= 54.315° into ∠JLK= ∠KLM ⇒∠JLK= 54.315°
cos A= (leg adjacent to ∠A)/hypotenuse: cos(∠JLK)=[tex]\frac{KL}{JL}[/tex]
Substitute, KL= 12, ∠JLK= 54.315° ⇒ cos(∠JLK)= [tex]\frac{12}{JL}[/tex]
Calculate cos(54.315°)=[tex]\frac{12}{JL}[/tex] ⇒ JL= 20.572
To know more about hypotenuse visit:
https://brainly.com/question/30761344
#SPJ1
The complete question is:
mean and median of 11, 41, 36, 4, 7
Answer:
Median = 11
Mean = 19.8
Step-by-step explanation:
Arrange data points from small to large - Median will be the number in the middle
4 7 11 36 41
To get the mean add the numbers together and divide by the number of numbers there are.
The total is 99
5 numbers
99/5
= 19.8
Hope this helps
A population of 752,000 people decreases at a rate of 1.4% each year. What will be the population after 18 years?
Answer:
562496
Step-by-step explanation:
i think
Answer:189504
Step-by-step explanation:
To get the 1.4% of population you need to multiply it like this: 752000 × 1.4% = 10528.
10528 is the population decrease every year, to find the population decrease after 18 years you need to multiply it again like this: 10528 × 18 = 189504.
189504 is the population decrease after 18 years.
The mean and the standard deviation of the sample of 100 bank customer waiting times are x⎯⎯ = 5.33 and s = 2.207. Calculate a t-based 95 percent confidence interval for µ, the mean of all possible bank customer waiting times using the new system. Are we 95 percent confident that µ is less than 6 minutes?. Assume normality.
95% confidence that the population mean is less than 6 minutes since the upper limit of the confidence interval is below 6 minutes.
95% confidence that the population mean is within the range of 4.897 to 5.763 minutes.
The t-based 95 percent confidence interval for the population mean:
CI =[tex]\bar x\pm t\alpha/2 \times (s/\sqrt n)[/tex]
[tex]\bar x[/tex] is the sample mean, s is the sample standard deviation, n is the sample size, tα=/2 is the t-value corresponding to the desired level of confidence and (s/√n) is the standard error of the mean.
The sample size is 100, the sample mean is 5.33, and the sample standard deviation is 2.207, the standard error of the mean is:
s/√n
= 2.207/√100
= 0.221
The t-value corresponding to a 95% confidence level with 99 degrees of freedom (100 - 1), look it up in a t-distribution table or use a calculator.
The t-value is approximately 1.984.
The 95% confidence interval for the population mean is:
CI = 5.33 ± 1.984 × 0.221
= [4.897, 5.763]
For similar questions on Population Mean
https://brainly.com/question/28103278
#SPJ11
A 2-column table titled Balloon Payment Mortgage has 7 rows. The first column has entries mortgage amount, term, interest rate, monthly payment, balloon payment, total interest, total payment. The second column has entries 170,000 dollars, 8 years, 4 percent, 811 dollars and 61 cents for 95 months, 143,152.99, 50,256, 220,256. By the end of year 8, Demarco and Tanya would have to pay a final payout of $120,887. $130,900. $143,152. $154,768.
A 2-column table titled Balloon Payment Mortgage has 7 rows. The first column has entries mortgage amount, term, interest rate, monthly payment, balloon payment, total interest, total payment. The second column has entries 170,000 dollars, 8 years, 4 percent, 811 dollars and 61 cents for 95 months, 143,152.99, 50,256, 220,256. By the end of year 8, Demarco and Tanya would have to pay a final payout of $143,152.
Hence, the correct option is C.
With the help of the given values, we know that the mortgage amount is $170,000 and the interest rate is 4%. The term of the loan is 8 years, which is equivalent to 96 months.
To calculate the monthly payment, we can use the following formula
P = (r * A) / (1 - (1 + r)^(-n))
Where P is the monthly payment, r is the monthly interest rate (which is 4% / 12 = 0.00333), A is the mortgage amount, and n is the total number of months (which is 96).
By putting the values, we get
P = (0.00333 * 170000) / (1 - (1 + 0.00333)^(-96))
P ≈ $811.61
Hence, the monthly payment is $811.61.
The total interest paid over the life of the loan can be calculated as the difference between the total payment and the mortgage amount.
Total interest = Total payment - Mortgage amount
Total interest = $220,256 - $170,000
Total interest = $50,256
Now, we can calculate the balloon payment using the formula
Balloon payment = A * (1 + r)^n - [P * ((1 + r)^n - 1) / r]
Where A is the mortgage amount, r is the monthly interest rate, P is the monthly payment, and n is the number of months until the balloon payment is due (which is 95 in this case).
By substituting the values, we get
Balloon payment = 170000 * (1 + 0.00333)^95 - [811.61 * ((1 + 0.00333)^95 - 1) / 0.00333]
Balloon payment ≈ $143,152.99
Hence, the correct option is C.
To know more about Balloon Payment here
https://brainly.com/question/30333778
#SPJ4
Answer$143,152
Step-by-step explanation:
A rectangle has a diagonal of length of 60 inches and the diagonal creates angles of
30 degrees and 60 degrees in the corners of the rectangle. Determine the area of the rectangle in
simplified radical form.
Let's call the length of the rectangle "l" and the width "w". We know that the diagonal of the rectangle is 60 inches, and that it creates angles of 30 degrees and 60 degrees in the corners of the rectangle.
Using trigonometry, we can relate the sides of the rectangle to its diagonal and the angles formed by the diagonal. Specifically, we can use the sine and cosine functions to relate the sides to the angles:
sin(30) = w/60 and cos(30) = l/60
sin(60) = l/60 and cos(60) = w/60
Simplifying each equation, we get:
w = 30√3 and l = 30
Therefore, the area of the rectangle is:
Area = l x w = (30)(30√3) = 900√3 square inches.
Hence, the area of the rectangle in simplified radical form is 900√3 square inches.