Selling Price = $ 504 and Gain % = 12%
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
What common ratio would cause a geometric series to converge
Answer:0
Step-by-step explanation:
The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0
Q:Factorise The Expression:: 8x2y+12xy-16xz. and I'll mark you brainiest.
Trust!
8x^2y + 12xy - 16xz
= 4x (2xy+3-4z)
Answer: 4x(2xy+3-4z)
A 40 litres pail of paint costs $34. How much does 1 litre of paint cost?
Answer:
85 cents
Step-by-step explanation:
34÷40= .85
adding characters to get to 20
HELPPP, i did it but i’m not sure if it’s right thank uu
You have the correct sequence of reasons
Here's what the full step by step picture looks like
3.25(1.25x + 0.5) = 10.5 ................ given
4.0625x + 1.625 = 10.5 ................ distributive property
4.0625x = 8.875 ................ subtraction property of equality
x = 2.18461538461539 ....... division property of equality
---------------------------
Notes:
The decimal value of x is approximate. Round it however you need.In the third step, we subtracted 1.625 from both sidesIn the fourth step, we divide both sides by 4.0625Answer:
I am pretty sure that is right
Step-by-step explanation:
\(3.25(1.25+0.5) = 10.5\) is given
Then you distribute the \(3.25\\\) to the \(1.25x\) and the \(0.5\).
\(3.25(1.25x)=4.06x\)
\(3.25(0.5)=1.6\)
So the new equation would be \(4.06x + 1.6= 10.5\)
Then you would subtract \(1.6\) from each side to get \(4.06x=8.9\)
Finally you would divide each side by \(4.06\) to get \(x= 1.93\).
Help please simple question
Answer: x ≤ − 3/2
how i got the answer : I used something but it wont let me say ;-; hope it helps!
Nonsense=report
Need help pls
A data set that includes the years in which your hometown team won championships would be classified as what type of data
Answer:
Interval
Step-by-step explanation:
The interval scale is guageable and data following this scale can be added and subtracted.
Years are values we can either subtract or minus so they fall under the interval scale.
Also, they have no absolute zero, which is a characteristic of the interval scale.
A plane leaves an airport at noon flying due south at 900 km/h. That same day, another plane is flying due east toward the
airport at 600 km/h.
If the incoming plane is 2000 km away from the airport at 4 pm, what is the rate of change of the distance between the planes?
The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.
the distance between the two planes is represented by the variable D, and time is represented by the variable t.
At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.
Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.
To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:
D^2 = (2000 km)^2 + (3600 km)^2
Simplifying the equation:
D^2 = 4000000 km^2 + 12960000 km^2
D^2 = 16960000 km^2
Taking the square root of both sides:
D = sqrt(16960000) km
D = 4120 km
Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time
dD/dt = 0
Since the distance between the planes is constant, the rate of change is zero.
Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
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Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 453 randomly selected students in Florida; in this sample, the mean is 1013 and the standard deviation (5) is 108.
a. Construct a 95 % confidence interval for the average test score for Florida students.
b. Is there statistically significant evidence that Florida students perform differently than other students in the United States?
c. Another 503 students are selected at random from Florida. They are given a 3-hour preparation course before the test is administered. Their average test score is 1019 with a standard deviation of 95.
i. Construct a 95% confidence interval for the change in average test score associated with the prep course.
ii. Is there statistically significant evidence that the prep course helped?
d. The original 453 students are given the prep course and then are asked to take the test a second time. The average change in their test scores is 9 points, and the standard deviation of the change is 60 points.
i. Construct a 95% confidence interval for the change in average test scores.
ii. Is there statistically significant evidence that students will perform better on their second attempt after taking the prep course?
iii. Students may have performed better in their second attempt because of the prep course or because they gained test- taking experience in their first attempt. Describe an experiment that would quantify these two effects.
Answer:
a. The 95% confidence interval is 1,022.94559 < μ < 1,003.0544
b. There is significant evidence that Florida students perform differently (higher mean) differently than other students in the United States
c. i. The 95% confidence interval for the change in average test score is; -18.955390 < μ₁ - μ₂ < 6.955390
ii. There are no statistical significant evidence that the prep course helped
d. i. The 95% confidence interval for the change in average test scores is 3.47467 < μ₁ - μ₂ < 14.52533
ii. There is statistically significant evidence that students will perform better on their second attempt after the prep course
iii. An experiment that would quantify the two effects is comparing the result of the confidence interval C.I. of the difference of the means when the student had a prep course and when the students had test taking experience
Step-by-step explanation:
The mean of the standardized test = 1,000
The number of students test to which the test is administered = 453 students
The mean score of the sample of students, \(\bar{x}\) = 1013
The standard deviation of the sample, s = 108
a. The 95% confidence interval is given as follows;
\(CI=\bar{x}\pm z\dfrac{s}{\sqrt{n}}\)
At 95% confidence level, z = 1.96, therefore, we have;
\(CI=1013\pm 1.96 \times \dfrac{108}{\sqrt{453}}\)
Therefore, we have;
1,022.94559 < μ < 1,003.0544
b. From the 95% confidence interval of the mean, there is significant evidence that Florida students perform differently (higher mean) differently than other students in the United States
c. The parameters of the students taking the test are;
The number of students, n = 503
The number of hours preparation the students are given, t = 3 hours
The average test score of the student, \(\bar{x}\) = 1019
The number of test scores of the student, s = 95
At 95% confidence level, z = 1.96, therefore, we have;
The confidence interval, C.I., for the difference in mean is given as follows;
\(C.I. = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}\)
Therefore, we have;
\(C.I. = \left (1013- 1019 \right )\pm 1.96 \times \sqrt{\dfrac{108^{2}}{453}+\dfrac{95^{2}}{503}}\)
Which gives;
-18.955390 < μ₁ - μ₂ < 6.955390
ii. Given that one of the limit is negative while the other is positive, there are no statistical significant evidence that the prep course helped
d. The given parameters are;
The number of students taking the test = The original 453 students
The average change in the test scores, \(\bar{x}_{1}- \bar{x}_{2}\) = 9 points
The standard deviation of the change, Δs = 60 points
Therefore, we have;
C.I. = \(\bar{x}_{1}- \bar{x}_{2}\) + 1.96 × Δs/√n
∴ C.I. = 9 ± 1.96 × 60/√(453)
i. The 95% confidence interval, C.I. = 3.47467 < μ₁ - μ₂ < 14.52533
ii. Given that both values, the minimum and the maximum limit are positive, therefore, there is no zero (0) within the confidence interval of the difference in of the means of the results therefore, there is statistically significant evidence that students will perform better on their second attempt after the prep course
iii. An experiment that would quantify the two effects is comparing the result of the confidence interval C.I. of the difference of the means when the student had a prep course and when the students had test taking experience
Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1). please help!
The true statement is (b) she did not represent the two original factors correctly on the headers
How to determine the true statement?The product expression is given as:
(-2x - 1)(2x - 1)
Expand the expression
(-x - x - 1)(x + x - 1)
This means that the header of the algebra tiles would be:
-x, -x, 1 and x, x and -1
From the figure, we can see that this is incorrectly represented
Hence, the true statement is (b)
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Ms Greene class has two chameleons. Lumpy total length is 12 inches and Larry is 6 inches. Each of their fails is twice as long as its body. How long is lumpy tail
What is the value of if the remainder of is 2?
Answer:
l don't understand......
How many sugar
packets do you think
are inside a 20 oz bottle
of soda?
Answer:
The answer is 17 packets
Answer:
17 or 17.25
Step-by-step explanation:
20 oz is 69 grams divided by 4 and its 17
one gallon of paint covers 400 squars feet. what is the least amount of paint needed to paint the walls of s room in the shape of a rectangular prism with a length of 20 feet, a width of 18 feet. and a height of 12 feet?
The minimum amount of paint needed to paint the walls of the room would be 2,2 gallon.
How to calculate the amount of paint we need?To calculate the amount of paint we need to paint the walls of the room we must calculate the area of each of the walls, in this case it would be 4 rectangles with the following dimensions:
(12ft x 18ft)*2(20ft x 12ft)*2According to the above, the area of the walls would be:
12*18=216cm²20*12=240cm²216cm² * 2 = 432cm² 240cm² * 2 = 880cm²880cm² + 432cm² = 1312cm²Based on the above, it can be inferred that 2.2 gallons of paint are needed to paint all the walls.
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
What is the following simplified product? Assume x 0.
(sqrt6x^2+4sqrt8x^3)(sqrt9x-xsqrt5x^5)
Answer:
c
Step-by-step explanation:
Keep in mind, whatever is inside of the square root, stays inside of the square root, and whatever is outside, stays outside, they don't multiply together. With parenthesis, exponents multiply, if there's no parenthesis, the exponents don't multiply. In this case, the exponents add.
Multiply each one together:
sqrt(6x^2) x sqrt(9x) = sqrt(54x^3)
sqrt(6x^2) x -(x sqrt(5x^5)) = -x sqrt(30x^7)
4 sqrt(8x^3) x sqrt(9x) = 4 sqrt(72x^4)
4 sqrt(8x^3) x -(x sqrt(5x^5)) = -4x sqrt(40x^8)
Then simplify:
sqrt(54x^2) = 3x sqrt(6x)
x sqrt(30x^7) = -x^4 sqrt(30x)
4 sqrt(72x^4) = 24x^2 sqrt(2)
-4x sqrt(40x^8) = -8x^5 sqrt(10)
On a map, the distance between Los Angeles, CA and San Francisco, CA is 51.5 cm. What is the actual distance if the map scale is 1 cm:8 mi.?
A) 4 mi
B) 4.12 mi
C) 41.2 mi
D) 412 mi
Answer:
it's D) (412 mi) trust me
Step-by-step explanation
The actual distance if the map scale is 1 cm:8 mi is 412 meters.
We have given that,
On a map, the distance between Los Angeles, CA and San Francisco, CA is 51.5 cm.
We have to determine
The actual distance if the map scale is 1 cm:8 mi.
What is the actual distance?
Distance is a numerical measurement of how far apart objects or points are. In physics or everyday usage, the distance may refer to a physical length or an estimation based on other criteria.
Therefore the total distance is 412 meters.
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Which of the following represents a nonlinear
equation?
a) y = 3x + 3
b) y = -3x
c) y = 1/3x + 3
d) y = 3/x
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
To find the area of △KNM, the length of the base, segment MK, is 2b, and the height is a. So an expression for the area of △KNM is
An expression for the area of △KNM is = 1/2 x 2b x a
Given,
In the question:
In triangle KNM ;
The length of the base (MK) = 2b
and, height of the triangle is= a
To write an expression for the area of △KNM .
Now, According to the question:
We know that :
Area of triangle is = 1/2 x base x height
The length of the base (MK) = 2b
and, height of the triangle is= a
Plug all the values in the area of triangle :
Here, Area of triangle is = 1/2 x 2b x a
Hence, An expression for the area of △KNM is = 1/2 x 2b x a.
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2x+5=15
Find x in the following equation
Answer:
x = 5
Step-by-step explanation:
To solve for x, we need to isolate x on one side of the equation. We can do this by subtracting 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5
Simplifying:
2x = 10
Now we can solve for x by dividing both sides of the equation by 2:
2x/2 = 10/2
Simplifying:
x = 5
Therefore, x = 5 is the solution to the equation 2x + 5 = 15.
Answer:
-2x-5=15 One solution was found : x = -10 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
Step-by-step explanation:
have a nice day.
The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?
Answer: 77 cars
Step-by-step explanation: 6.50 * 77 = 500.5
Determine whether the underlined number is a statistic or a parameter. A sample of professors is selected and it is found that (40%) own a television. Choose the correct statement below.
a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
b. Parameter because the value is a numerical measurement describing a characteristic of a sample.
c. Parameter because the value is a numerical measurement describing a characteristic of a population.
d. Statistic because the value is a numerical measurement describing a characteristic of a population.
Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.
Use the equation you wrote in Exercise 5 to find the number of beads Mary can buy before she runs out of money.
Answer:
Please provide more information. The person solving the problem must know the equation you wrote in exercise 5, and you did not provide that information.
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
The percentile of 6.2 in the given data set is 40%.
To determine the percentile of 6.2 in the given data set, we can use the following steps:
Arrange the data set in ascending order:
4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2
Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.
Calculate the percentile using the formula:
Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100
In this case, the percentile of 6.2 can be calculated as:
Percentile = (4 / 10) × 100 = 40%
The percentile of 6.2 in the sample data set is therefore 40%.
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find the coordinates of the centroid of the triangle with the given vertices. D(-4, -2), E(1, 0), F(9, 5)
Answer:
\( (x, y) = (2, 1) \)
Step-by-step explanation:
Given vertices of a triangle:
\( (x_1, y_1) = (-4, -2) \)
\( (x_2, y_2) = (1, 0) \)
\( (x_3, y_3) = (9, 5) \)
Using the centroid formula:
\( (x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}) \)
Plug in the values into the formula
\( (x, y) = (\frac{-4 + 1 + 9}{3}, \frac{-2 + 0 + 5}{3}) \)
\( (x, y) = (\frac{6}{3}, \frac{3}{3}) \)
\( (x, y) = (2, 1) \)
There were 125 females and 100 males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.
Answer:
4:9
Step-by-step explanation:
To find the ratio of males to the total number of people present, we need to divide the number of males by the total number of people.
The total number of people present is the sum of the number of females and the number of males:
Total = 125 females + 100 males = 225 people
So the ratio of males to the total number of people present is:
100 males / 225 people
To simplify this ratio, we can divide both the numerator and denominator by the greatest common factor, which is 25.
So the simplified ratio is:
100/225 = 4/9
So the ratio of males to the total number of people present is 4:9
Find the equation of the line that passes through (2,9) and (5,3).
Answer:
y = -2x + 13
Need to know:
y = mx + b
Slope formula: y₂ - y₁/x₂ - x₁
Step-by-step explanation:
First, we have to find the slope of the equation.
To find this we use this equation: y₂ - y₁/x₂ - x₁
x₁ = 2
x₂ = 5
y₁ = 9
y₂ = 3
(3 - 9)/(5 - 3) = -6/3 = -2
The slope of of the equation is -2
y = -2x + b
Plug in one of the given coordinates. We'll use (5, 3)
3 = -2(5) + b
3 = -10 + b
Add 10 to both sides
3 = -10 + b
+ 10 + 10
b = 13
y = -2x + 13
PLEASE HEEEEEEEEELLLLLLLLLPPPPPPP WILLING TO GIVE BRAINLIEST.
Answer:
7.5
Step-by-step explanation:
there is 1.5 cups of sugar for each cup of flour
1.5x5=7.5
Answer:
7.5 cups of sugar
Step-by-step explanation:
3/2 = 1.5 (this means there is 1.5 cups of sugar for every one cup of flour)
5 * 1.5 = 7.5