It is impossible to determine the weighted mean or the percentage without understanding the weights or the context of the issue.
How is a percentage calculated?The percentage can be computed by taking the value and dividing it by the total value, then multiplying this result by 100. The percentage is calculated using the following formula: (value/total value)100%.
The given data is: 10, 5, 7, 6, 7, 5, 4, 12
Mean:
To find the mean, we need to add up all the numbers and divide by the total count:
Mean = (10 + 5 + 7 + 6 + 7 + 5 + 4 + 12) / 8 = 56 / 8 = 7
Therefore, the mean is 7.
Median:
To find the median, we need to arrange the numbers in order from smallest to largest:
4, 5, 5, 6, 7, 7, 10, 12
Since there are 8 numbers in the list, the median will be the average of the middle two numbers:
Median = (6 + 7) / 2 = 6.5
Therefore, the median is 6.5.
Mode:
To find the mode, we need to identify the number that appears most frequently in the list:
The number 5 appears twice, and the numbers 7 and 12 also appear twice. Therefore, there are two modes: 5 and 7.
Finding the median, quartiles, and ranges of values for the data set, as well as the lowest and highest values, will help us produce a box & whisker graphic. Already, 6.5 was determined to be the median.
We can divide the data set in half at the median and then calculate the medians for each half to determine the first, second, and third quartiles:
4, 5, 5, 6
7, 7, 10, 12
The median of the first half is (5 + 5) / 2 = 5, and the median of the second half is (7 + 10) / 2 = 8.5.
Therefore, the first quartile (Q1) is 5, and the third quartile (Q3) is 8.5.
The value ranges from 4 to 12, with 12 being the maximum.
The box and whisker plot looks like this:
+-----+
----| 4 |----
+-----+
| |
----| 5 |----
+-----+
| |
----| 5 |----
+-----+
| |
----| 6 |----
+-----+
| |
----| 7 |----
+-----+
| |
----| 7 |----
+-----+
| |
----| 10 |----
+-----+
| |
| 12 |
+-----+
Weighted Mean:
To find the weighted mean, we need to multiply each number by its weight, add up the products, and divide by the total weight. For example, if we have the numbers 2, 3, and 4 with weights of 1, 2, and 3, the weighted mean would be:
Weighted Mean = (21 + 32 + 4*3) / (1+2+3) = 17/6
Without knowing the weights or the context of the problem, it is not possible to find the weighted mean or the percentage.
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The mean is 7, Median is 6.5 and the mode is 5.
What is weighted mean?
Weighted mean is a type of average that takes into account the relative importance or weight of each number in a set. Each number is multiplied by its corresponding weight, and the products are then added together and divided by the sum of the weights.
To calculate the mean, you need to add up all the numbers and divide by the total number of numbers:
(10 + 5 + 7 + 6 + 7 + 5 + 4 + 12) / 8 = 7
Median:
To find the median, first order the numbers from smallest to largest:
4, 5, 5, 6, 7, 7, 10, 12
There are 8 numbers in the list, so the median is the average of the two middle numbers, which are 6 and 7:
(6 + 7) / 2 = 6.5
Mode:
The mode is the number that appears most frequently in the list. In this case, the mode is 5, because it appears twice and no other number appears more than twice.
Box and Whisker Plot:
To create a box and whisker plot, first order the numbers from smallest to largest:
4, 5, 5, 6, 7, 7, 10, 12
Weighted Mean:
To calculate the weighted mean, you need to multiply each number by its corresponding weight, add up the products, and divide by the sum of the weights. If you have the weights in percentage form, you can convert them to decimal form by dividing by 100.
For example, if the numbers 10, 20, and 30 have weights of 20%, 30%, and 50%, respectively, the weighted mean would be:
(100.20 + 200.30 + 30*0.50) / (0.20 + 0.30 + 0.50) = 23
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assume the population was the houston rockets. find 1) the population mean 2) the population standard deviation 3) the weight that is 1.5 standard deviation below the mean.
Weight that is 1.5 standard deviation below the mean: To find the weight that is 1.5 standard deviation below the mean, subtract 1.5 times the population standard deviation from the population mean.
The population mean, population standard deviation, and weight that is 1.5 standard deviation below the mean for the Houston Rockets can be calculated using the following steps:
1) Population mean: The population mean is the average of all the values in the population. To calculate the population mean, add up all the values in the population and divide by the total number of values. For example, if the weights of the Houston Rockets players are 200, 210, 220, 230, and 240 pounds, the population mean would be (200 + 210 + 220 + 230 + 240) / 5 = 220 pounds.
2) Population standard deviation: The population standard deviation is a measure of how spread out the values in the population are. To calculate the population standard deviation, first calculate the deviation of each value from the population mean, square each deviation, add up all the squared deviations, divide by the total number of values, and take the square root of the result. For example, if the weights of the Houston Rockets players are 200, 210, 220, 230, and 240 pounds, the population standard deviation would be √[((200 - 220)^2 + (210 - 220)^2 + (220 - 220)^2 + (230 - 220)^2 + (240 - 220)^2) / 5] = 14.14 pounds.
3) Weight that is 1.5 standard deviation below the mean: To find the weight that is 1.5 standard deviation below the mean, subtract 1.5 times the population standard deviation from the population mean. For example, if the population mean is 220 pounds and the population standard deviation is 14.14 pounds, the weight that is 1.5 standard deviation below the mean would be 220 - (1.5 * 14.14) = 199.79 pounds.
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Suppose two utilites, People's Electric and Muricipal Energy, each produce 900 tons of pollution per year. The government has a goal of eliminating haf the pclution, and, in turn, provides 450 pollution permits to each utlity. A pollution permit is required to legally produce a ton of poliubon. However, the tao utities are allowed to trade permas. Suppose the cost of eliminating one ton of pollution for People's Electric is $400 and the cost of eliminating a ton of polution for Municipal Energy is $350. The total cost of each utility eliminating 450 tons of pollution is $ (Enter your response as a whole number)
The total cost of each utility eliminating 450 tons of pollution is $180,000.
To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.
For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.
For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.
Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.
The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.
In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.
Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.
This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.
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What is AAS ASA SSS SAS?
The rules AAS, ASA, SSS and SAS are congruence rule of triangle and the each rules has been explained
The rules AAS, ASA, SSS and SAS are congruence rule of triangle
SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent
SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to the two sides and one included angles between the sides of the other triangle, then both triangles are congruent
ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent
AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent
Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle
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The _____ is used to test the significance of the population coefficient of determination.
A. chi-square distrubution
B. normal distribution
C. Student's t-distribution
D. F-distribution
The F-distribution is used to test the significance of the population coefficient of determination (option D).
The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.
To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.
The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.
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I need help on this question
the opposites would equal each other.
The last 2 answers are the correct ones.
Can you help? I really need help
Answer:
5. find x= 32
6. find < C = 23
find c =
find a =
Sorry wish I could help more I need to learn more about this chapter in math.
Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of key- boards. As the suppliers all reside in a location prone to hurri- canes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time for at least 2 weeks is 3%. Such a total shutdown would cost the company approximately $400,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $15,000 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available.
To determine the number of suppliers Witt Input Devices should use, we need to consider the probability of a "super-event" and the marginal cost of managing additional suppliers.
With a 3% probability of a total shutdown and an estimated cost of $400,000, along with a 5% "unique-event" risk per supplier, the company should aim to balance the costs and risks to make an informed decision on the number of suppliers.
Phillip Witt wants to create a portfolio of local suppliers for his keyboards. He faces the risk of "super-events" that could shut down all suppliers simultaneously for at least two weeks. The probability of such an event occurring is 3% per year, which would result in an estimated cost of $400,000 for the company.
Additionally, each individual supplier carries a "unique-event" risk of 5%. To mitigate the risks, Witt Input Devices needs to determine the optimal number of suppliers to use. However, it is stated that up to three nearly identical local suppliers are available.
To make a decision, the company needs to balance the costs and risks. Each additional supplier incurs a marginal cost of $15,000 per year. The company should evaluate the trade-off between the cost of managing additional suppliers and the risk reduction achieved by having multiple suppliers.
Considering these factors, Witt Input Devices should analyze the costs and benefits of each additional supplier and select the number of suppliers that provides an optimal balance between risk mitigation and cost management.
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f(x) = 3x+2
What is f(5)?
Answer:
the answer will be 17.
Step-by-step explanation:
if, f (x) = 3x + 2
f (5) = 3 × 5 + 2 = 17.
Please mark me as the brainliest
Write 52% as a decimal and a simplified fraction.
Answer:
Decimal: .52
Fraction: 13/25
Step-by-step explanation:
As a Decimal, 52% would be .52
All you have to do to get that, is to move the decimal over twice.
So as a fraction, you would put 100 as the denominator because 100 is how high a percent can get.
52/100 → 13/25
What properties do all parallelograms possess?
What is the midpoint between (-4,4),(-2,2)
(1 Point)
a)(3,2)
b)(-3,3)
c)(4,5)
d)(6,7)
A Geometry textbook has a mass of 48 grams.
The textbook is in the shape of a rectangular prism with dimensions show below.
To find density use: density
mass
volume
5 cm
16 cm
10 cm
Determine the density of the Geometry textbook in g/cm3.
Round your answer to the nearest hundredths place.
The density of the Geometry textbook is 0.06 g/cm^3.
To find the density of the Geometry textbook in g/cm^3, we need to find its volume first. The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
In this case, the length is 16 cm, the width is 10 cm, and the height is 5 cm. Therefore, the volume of the Geometry textbook is:
V = l x w x h = 16 cm x 10 cm x 5 cm = 800 cm^3
Now, we can find the density of the textbook using the formula:
\(density = mass / volume\)
Plugging in the given mass of 48 grams and the calculated volume of 800 cm^3, we get:
density = 48 g / 800 cm^3 = 0.06 g/cm^3
Therefore, the density of the Geometry textbook is 0.06 g/cm^3. We rounded our answer to two decimal places as the original mass was given in grams to two decimal places.
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What two nonnegative real numbers with a sum of 64 have the largest possible product?
The two non negative real numbers with a sum of 64 that have the largest possible product are; 32 and 32.
How do we solve the nonnegative real numbers?Let the two numbers be x and y.
Thus, if their sum is 64, then we have;
x + y = 64
y = 64 - x
Their product will be;
P = xy
Putting (64 - x) for y in the product equation we have;
P = (64 - x)x
P = 64x - x²
Since the product is maximum, let us find the derivative;
P'(x) = 64 - 2x
At P'(x) = 0, we have;
64 - 2x = 0
2x = 64
x = 64/2
x = 32
Thus; y = 64 - 32
y = 32
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Find the area of the surface.
The part of the surface
z = xy
that lies within the cylinder
x² + y² = 64.
The area of the surface is 2π(3√3 - 1). The surface area integral is given by A = ∬D √(1 + (dz/dx)² + (dz/dy)²) dA.
To find the area of the surface that lies within the cylinder x² + y² = 64 and is defined by z = xy, we can use the surface area integral.
The surface area integral is given by:
A = ∬D √(1 + (dz/dx)² + (dz/dy)²) dA
where D represents the region on the xy-plane that corresponds to the surface.
In this case, the region D is the circle with radius 8 (which is obtained by solving x² + y² = 64). To evaluate the integral, we need to determine the partial derivatives dz/dx and dz/dy.
Taking the partial derivative of z with respect to x:
∂z/∂x = y
Taking the partial derivative of z with respect to y:
∂z/∂y = x
Substituting these values into the surface area integral formula:
A = ∬D √(1 + y² + x²) dA
Since D is a circle with radius 8, we can express the integral in polar coordinates. The limits of integration for r are 0 to 8, and the limits of integration for θ are 0 to 2π.
A = ∫₀²π ∫₀⁸ √(1 + r²sin²θ + r²cos²θ) r dr dθ
Simplifying the expression under the square root:
A = ∫₀²π ∫₀⁸ √(1 + r²) r dr dθ
Now we can evaluate the integral:
A = ∫₀²π [(1/3)(1 + r²)^(3/2)]⁸₀ dθ
A = ∫₀²π (1/3)(9√3 - 1) dθ
A = (1/3)(9√3 - 1) ∫₀²π dθ
A = (1/3)(9√3 - 1)(2π - 0)
A = 2π(3√3 - 1)
The area of the surface is 2π(3√3 - 1).
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a fair coin is flipped twice. what is the probability that the coin will land heads up both times?answer options with 5 optionsa.0b.0.20c.0.25d.0.50e.1
The probability that a fair coin will land heads up both times when coin flipped twice can be calculated by multiplying the probability of getting heads on the first flip by the probability of getting heads on the second flip. Since the coin is fair, the probability of getting heads on each flip is 1/2.
Step 1: Calculate the probability of getting heads on the first flip.
The probability of getting heads on the first flip is 1/2.
Step 2: Calculate the probability of getting heads on the second flip.
The probability of getting heads on the second flip is also 1/2.
Step 3: Multiply the probabilities of the individual flips.
1/2 * 1/2 = 1/4
Therefore, the probability that the coin will land heads up both times is 1/4.
Looking at the answer options provided:
a. 0
b. 0.20
c. 0.25
d. 0.50
e. 1
The correct answer is option c. 0.25.
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HELPPP PLEASEEE
what is the slope of the line that contains the points ( -3 -7/2) and (2,-4)?
Answer:
-1/10
Step-by-step explanation:
Slope:\(\sf (-3 , \frac{-7}{2}) \ ; \ x_1 = -3 ; \ ; y_1=\frac{-7}{2}\)
\(\sf (2 , -4) ; \ x_2 = 2 \ ; \ y_2 = -4\)
\(\sf \boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}\)
\(= \dfrac{-4-[-\frac{7}{2}]}{2-[-3]}\\\\\\= \dfrac{-4+ \frac{7}{2}}{2+3}\\\\\)
\(\sf = \dfrac{ \frac{-4*2}{1*2}+ \frac{7}{2}}{5}\\\\\\= \dfrac{ \frac{-8+7}{2}}{5}\\\\\\= \dfrac{ \dfrac{-1}{2}}{5}\\\\= \dfrac{-1}{2*5}\\\\\\= \dfrac{-1}{10}\)
At noon, a private plane left Austin, Texas for Los Angeles, California. The distance between Austin and LA is 2100 km. The plane leaving Austin traveled at 500 km/h. One hour later, a private plane left LA for Austin, traveling at 700 km/h. At what time did the planes pass each other.
Answer:
Infinity
Step-by-step explanation:
1+1=5
2+2=22 =
infinity
Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer:
Width: 2x+1
Step-by-step explanation:
55:40
What is the value of K?
O k = 28
O k= 29
Ok=31
0 K=42
Answer:
B. k = 29
Step-by-step explanation:
Sorry if this is a late answer, but I hope this helps! :D
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 6 options: A) To the right five units, down three units. B) To the left five units, up three units. C) To the right five units, up three units. D) To the left five units, down three units.
Answer:
B
Step-by-step explanation:
Someone please help me solve this. Your help would be greatly appreciated.
The number of pounds of cashews that cost $14 per pound that must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pounds is 5 pounds.
How to find the amount of cashew in pounds?The expression above forms the equations below:
14 × x + 5 × 6.50 = (x + 5) × 10.25
where
x = pounds of cashewTherefore,
14 × x + 5 × 6.50 = (x + 5) × 10.25
14x + 5 × 6.50 = (x + 5) × 10.25
14x + 32.5 = (x + 5) × 10.25
14x + 32.5 = 10.25x + 51.25
subtract 10.25x from both sides
14x + 32.5 = 10.25x + 51.25
14x - 10.25x + 32.5 = 10.25x - 10.25x + 51.25
3.75x + 32.5 = 51.25
subtract 32.5 from both sides
3.75x + 32.5 = 51.25
3.75x + 32.5 - 32.5 = 51.25 - 32.5
3.75x = 18.75
divide both sides by 3.75
3.75x = 18.75
3.75x / 3.75 = 18.75 / 3.75
x = 5
Therefore, the number of pounds of cashews that cost $14 per pound that must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pounds is 5 pounds.
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Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement
Answer:
The answer is "\(\frac{3}{7}\)"
Step-by-step explanation:
Please find the complete question:
The dilation scale factor will be the same:
\(=\frac{\text{Picture to Center Gap}}{\text{Related pre-image distance to the middle}}\)
Throughout the picture, the distance is \(CP'=6\), while the equivalent distance is \(CP=14\). The factor of scale is then\(=\frac{CP'}{CP} =\frac{6}{14} =\frac{3}{7}\)
The decrease because if a factor of scale is below 1 and a factor of scale is higher than 1. Dilation is a reduction since \(\frac{3}{7}<1\), therefore the scale factor is \(\frac{3}{7}\).
The scale factor of the given dilation is; 6/14 and the dilation is a reduction
Transformations
The image of the object undergoing transformation is missing and so i have attached it.
From the attached object, we se that CP = 14.
Also CP' = 6
Thus; Scale factor is 6/14
Now, reduction is reducing the dimensions while enlargement is increasing the dimensions by a scale factor.
Since the denominator of the scale factor is greater than the numerator, then there is a reduction.
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Translate the following into an algebraic expression:
5 more than a number
5x
x/5
x-5
x+5
Answer:
5x
Step-by-step explanation:
more than a number = multiple
5+x or 5x
Answer:
D. x+5
Step-by-step explanation:
The algebraic expression can be broken down into multiple parts. The "5 more than" can be represented as "+5", and "a number" can be represented as "x". Putting these together gives you the expression "x+5". And that matches the expression given in choice D.
What is the acceleration of the moon toward earth due to their mutual attraction the massive earth is 5. 98×10 to the 24th power kilograms the distance between them is 3. 8×10 to the eighth power meters and G equals 6. 673×10 to the -11th power newton meter squared per kilograms squared?
Answer:
2.76×10^-3 m/s²
Step-by-step explanation:
You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².
AccelerationThe acceleration of one body by another is ...
a = GM/r²
where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.
Applicationa = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg
a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²
What is the benefit of using biased representation for the exponent portion of a floating point number?.
someone please help me
Answer:
can't see the question ⁉️
Use two unit multipliers to convert 3600 in. To square feet
3600 in. is equal to 25 square feet, calculated using two unit multipliers.
To convert 3600 in. to square feet, there are two unit multipliers we can use: 1 ft/12 in and (1 ft/12 in)^2. Here's how to perform the conversion:
Multiply 3600 in. by 1 ft/12 in (the first multiplier) to convert inches to feet:
3600 in. × (1 ft/12 in) = 300 ft
Multiply 300 ft by (1 ft/12 in)^2 (the second multiplier) to convert square feet back to square inches:
300 ft × (1 ft/12 in)^2 = 3600 sq in.
Since you initially had 3600 sq in, which is equivalent to 25 sq ft (because 1 sq ft = 144 sq in), your final answer is:
3600 in. = 25 sq ft
Therefore, 3600 in. is equal to 25 square feet.
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help please!! i need this last one to finish!!!! 44 points!!
Answer:
The point is at about (4.5, 100).
Step-by-step explanation:
Minka's line is p = 22t, which has a y-intercept of 0.
Kenji's line is p = 50 + 11t, which has a y-intercept of 50.
Find the line with y-intercept at 0 and the line with y-intercept at 50. Follow the two lines until they intersect. The point of intersection is about (4.5, 100).
You can find this point by setting the two equations equal to each other:
22t = 50 + 11t
Subtract 11t from both sides.
11t = 50
t = 50/11 ≈ 4.545
Then you can find the p value for this point by plugging t = 4.545 into either equation.
p = 22(4.545) = 99.99
p = 50 + 11(4.545) = 99.995
On the graph the point is about (4.5, 100).
There are 120 wooden roller coasters in operation.This value represents 15% of all the roller coasters.How many roller coasters are there?HELPPPPPP MEEEEEE also PLEASEE include an explanation
Answer:
800 roller coasters
Step-by-step explanation:
120/x = 15/100
120/x=15 x 8/100 x8
120/x = 120/800
x=800
Joe worked for three days. On the first day, he completed 1/2 of his work. On the second day, he completed 1/3 of the remaining work. What fraction of the work was left for the third day?
Answer:
1/3
Step-by-step explanation:
first day work=1/2
work left=1-1/2=1/2
second day finished=1/3 ×1/2=1/6
work left =1/2-1/6=3/6-1/6=2/6=1/3