Therefore , the solution of the given problem of probability comes out to be P(not same color) = 236/361.
What precisely does the probability method suggest?Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any number range between 0 and 1, where 1 is frequently used to describe certainty and 0 is commonly used to denote possibility, can be used to represent chance. A probability diagram shows the likelihood that a particular event will occur.
Here,
There are three cases to consider:
Case 1: both marbles are red
Case 2: both marbles are yellow
Case 3: both marbles are blue
The probability of drawing two red marbles can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a red marble on the second draw (5/19):
P(red and red) = (5/19) * (5/19) = 25/361
Similarly, the probability of drawing two yellow marbles is:
P(yellow and yellow) = (6/19) * (6/19) = 36/361
And the probability of drawing two blue marbles is:
P(blue and blue) = (8/19) * (8/19) = 64/361
So, the probability of drawing two marbles that are the same color is:
P(same color) = P(red and red) + P(yellow and yellow) + P(blue and blue)
P(same color) = (25/361) + (36/361) + (64/361)
P(same color) = 125/361
d. If two marbles are drawn, what's the chance they are NOT the same color?
There are three cases to consider:
Case 1: one marble is red and one marble is yellow
Case 2: one marble is red and one marble is blue
Case 3: one marble is yellow and one marble is blue
The probability of drawing one red marble and one yellow marble can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a yellow marble on the second draw (6/19), and then multiplying by 2 (since the order of the marbles doesn't matter):
P(red and yellow) = 2 * (5/19) * (6/19) = 60/361
Similarly, the probability of drawing one red marble and one blue marble is:
P(red and blue) = 2 * (5/19) * (8/19) = 80/361
And the probability of drawing one yellow marble and one blue marble is:
P(yellow and blue) = 2 * (6/19) * (8/19) = 96/361
So, the probability of drawing two marbles that are not the same color is:
P(not same color) = P(red and yellow) + P(red and blue) + P(yellow and blue)
P(not same color) = (60/361) + (80/361) + (96/361)
P(not same color) = 236/361
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what is an acre in feet
An acre is a unit of measurement used to quantify land area, and it is commonly used in the United States to measure the size of plots of land, farms, and estates. One acre is equal to 43,560 square feet.
To visualize an acre, imagine a rectangle that is approximately 208 feet by 209 feet, or a square that is approximately 209 feet on each side.
To convert acres to square feet, you can use the following formula:
1 acre = 43,560 square feet
Therefore, to convert acres to feet, you can simply multiply the acre value by 43,560. For example, if you want to convert 5 acres to square feet, you can use the following formula:
5 acres x 43,560 square feet per acre = 217,800 square feet
So 5 acres is equal to 217,800 square feet.
It's worth noting that the acre is a unit of measurement used primarily in the United States, and other countries may use different units of measurement to quantify land area. For example, in the metric system, the hectare is commonly used to measure land area, with 1 hectare equal to 10,000 square meters (about 2.47 acres).
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The proportion of American adults who own a motorcycle is 2%. Samip believes the proportion of adults who own a motorcycle in his hometown is even lower. He randomly surveys 50 adults from his hometown and finds that 3 of them own a motorcycle. Identify why the sample in this situation does not meet all three conditions to perform a significance test using a z-statistic
The sample is not approximately normal because (50) (0.02) is not equal to or greater than 10.
The conditions for performing a significance test using a z-statistic require a sample size large enough to satisfy the Central Limit Theorem, which means that the sample should be approximately normal. In this case, the expected number of adults who own a motorcycle in the sample is only 1, which is less than the threshold of 10 needed for approximate normality. Therefore, the sample distribution is not normal, and a z-statistic cannot be used for hypothesis testing. The other conditions, such as random sampling and independence, are not relevant to this particular issue.
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Complete question:
The proportion of American adults who own a motorcycle is 2%. Samip believes the proportion of adults who own a motorcycle in his hometown is even lower. He randomly surveys 50 adults from his hometown and finds that 3 of them own a motorcycle. Identify why the sample in this situation does not meet all three conditions to perform a significance test using a z-statistic
The sample is not large enough because (50) (1-0.02) is not equal to or greater than 10.
The sample was not randomly selected.
The sample does not have independence.
The sample is not approximately normal because (50) (0.02) is not equal to or greater than 10.
The radius of a circle is 7 in. what is the nearest whole number.
Answer:
153.94 -> 154
Step-by-step explanation:
Have a good day
I need help please I am literally crying. Evaluate:
E^8n=1(-2)^n-1=[?]
The value of E is [tex](-2)^{\frac{n-1}{8n} }[/tex].
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
[tex]E^{8n}[/tex] = 1 x [tex](-2)^{n -1}[/tex]
8n root on both sides.
E = [tex]((-2)^{n -1})^\frac{1}{8n}[/tex]
E = [tex](-2)^{(n-1)\times\frac{1}{8n}}[/tex]
E = [tex](-2)^{\frac{n-1}{8n} }[/tex]
Thus,
E = [tex](-2)^{\frac{n-1}{8n} }[/tex].
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Look at this set of 5 numbers:
24 58 24 24 53
How would the mode change if the number 24 were added to the set?
The mode would not change if the number 24 were added to the set, as it is still the number that appears most frequently in the set.
What is a mode in statistics?
In statistics, the mode is the value that appears most frequently in a set of data. In other words, it is the value that occurs with the highest frequency.
For the set of 5 numbers given: 24 58 24 24 53, the mode is 24 because it appears three times, which is more than any other number in the set.
If the number 24 were added to the set, then the set would become: 24 58 24 24 53 24. In this case, the mode would still be 24 because it still appears most frequently, now occurring four times in the set.
Hence, the mode would not change if the number 24 were added to the set, as it is still the number that appears most frequently in the set.
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A plastic rod has been bent into a circle of radius R=8.20 cm. It has a charge Q1
=+4.20 pC uniformly distributed along one-quarter of its circumference and a charge Q2
=−6Q 1
uniformly distributed along the rest of the circumference (in the above figure). With V=0 at infinity, what is the electric potential at
(a) the center C of the circle and (b) point P, on the central axis of the circle at distance D=6.71 cm from the center?
a) The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.
b) The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.
Given that:
Radius of the circle, r = 8.20cm
Charge distributed along one-quarter of the circumference of the circle,
Q1 = +4.20pC
Charge distributed along 3/4th of the circumference of the circle,
Q2 = 25.20pC
Distance of the point from the center, d = 6.71cm
The electric potential at infinity is. V = 0
Using the concept of potential at a point on a thin rod, we can obtain the individual potential due to each charge. The sum of these values can now be used to obtain the desired potential value at the center and at the point, taking into account the distance to the point.
Formula:
The potential due to a point charge at a distance r from the point charge is determined by the equation V = [tex]\frac{1}{4\pi E_0} * \frac{q}{r}[/tex] ---------------- (1)
The potential due to the collection of point charges is determined by formula:
V = ∑[tex]\frac{1}{4\pi E_0} * \frac{q}{r}[/tex] -------------------- (2)
(a) The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{R}[/tex] --------------------- (3)
Here, R is the radius of circle
The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{R}[/tex] ----------------------- (4)
Now the potential V(center) at the center C of the circle due to charges Q1 and Q2 is the sum of the potential due to charge Q1 and the potential due to charge Q2. This is given using equations (a) and (b) in equation (ii) as:
[tex]V_Center = \frac{1}{4\pi E_0} * \frac{Q_1}{R} + \frac{1}{4\pi E_0} * \frac{Q_2}{R}[/tex]
⇒ [tex]V_Center = \frac{1}{4\pi E_0} *( \frac{Q_1}{R} + \frac{Q_2}{R})[/tex]
⇒ 9.0 × 10⁹Nm²/C₂ ([tex]\frac{4.20*10^-12 C}{0.082m} +\frac{-25.2*10^-12C}{0.082m}[/tex])
⇒ -2.30V
The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.
(b) From the above figure the r between each charged particle and the point P is given as:
[tex]r = \sqrt{R^{2}+D^{2} }[/tex]
In the figure above, r between each charged particle and point P is defined as: ="1662703245948 "
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{\sqrt{R^{2} + D^{2} } }[/tex] ------------------ (5)
Again, the electric potential at point P due to charge Q2 is given using equation (i) as follows:
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{\sqrt{R^{2} + D^{2} } }[/tex] -------------------- (6)
A The potential at point P due to charge Q2 is determined using equation (i): The potential of charge Q1 and the potential of charge Q2. This is given using equations (c) and (d) in equation (ii) as:
[tex]V_P = 9.0 * 10^9Nm^2/C^2 (\frac{4.20*10^-12C-6(4.20*10^-12C)}{\sqrt{(0.082m)^{2} + (0.082m)^{2} } })[/tex]
= -1.78V
The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.
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PLEASE HELP
tell whether the lines for each pair of equations are parallel perpendicular or neither
y=-5/6x-4
-10x-12y=-18
The relationship between the lines is (a) parallel
How to determine the relationship between the linesFrom the question, we have the following parameters that can be used in our computation:
y =-5/6x - 4
-10x - 12y = -18
To determine if the two lines are parallel or not we need to compare their slopes.
Make y the subject
y = -5/6x - 4
y = -5/6x + 3/2
A linear equation represented as
y = mx + c
...has its slope to be m
Using the above as a guide, we have the following:
Slope of the first line = -5/6Slope of the second line = -5/6Since the slopes are equal, the two lines are parallel.
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Find the value of x please
The value of x in the figure is 5
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The double triangles
On the figure, we have
RN = NP
This means that
12x = 60
Divide by 12
12x/12 = 60/12
Simplifying the left side by canceling out the 12s, we get:
x = 5
Hence, the solution to the value of x is x = 5.
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Cindy left Hillview Town at 4.20 pm, travelling towards Beach Town which was 600 km away at an average speed of 108 km/h. Claudia left Hillview Town at 5 pm, travelling at an average speed of 124 km/h.
(a) How long did Claudia take to catch up with Cindy?
(b) How far away were they from Beach Town when Claudia caught up with Cindy?
Answer:
(a) To find out how long it takes for Claudia to catch up with Cindy, we can first calculate the head start that Cindy had before Claudia started. Cindy had a head start of:
d = rt = 108 km/h x 1 h 40 min = 180 km
where d is the distance that Cindy traveled during the 1 hour 40 minutes (1.67 hours) between her departure and Claudia's departure, r is Cindy's speed, and t is the time she traveled.
When Claudia started, both Cindy and Claudia were 180 km away from Beach Town. The distance between them decreases at a rate equal to the difference in their speeds, which is:
124 km/h - 108 km/h = 16 km/h
So Claudia catches up at a rate of 16 km/h. The time it takes for Claudia to catch up is then:
t = d / r = 180 km / 16 km/h = 11.25 hours
However, we need to subtract the 1 hour 40 minutes (1.67 hours) that Cindy traveled before Claudia started to find the actual time Claudia took to catch up with Cindy:
t = 11.25 hours - 1.67 hours = 9.58 hours
Therefore, Claudia took about 9 hours and 35 minutes (0.58 x 60 minutes) to catch up with Cindy.
(b) When Claudia catches up with Cindy, they are both the same distance away from Beach Town. Cindy has already traveled 180 km when Claudia catches up, so the distance they are from Beach Town is:
600 km - 180 km = 420 km
Therefore, they were 420 km away from Beach Town when Claudia caught up with Cindy.
Find area and perimeter of the following shape. 250°
6 cm 2 cm
The perimeter and the area for each shape are given below.
How to calculate the perimeterFor figure (i) there are 11 small square and area of each small square is 1 sq cm.
Area of the given figure =(11×1)cm =11 cm²
Perimeter of the given figure =(18×1)cm=18 cm
For figure (ii) there are 13 and area of each small square is 1 sq cm.
Area of the given figure =(13×1)cm =13 cm²
Perimeter of the given figure =(28×1)cm=28 cm
For figure (iii) there are 13 and area of each small square is 1 sq cm.
Area of the given figure =(13×1)cm =13 cm²
Perimeter of the given figure =(28×1)cm=28 cm.
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Which binomial is a factor of x4 − 4x2 − 4x 8?
Answer: The binomial factor is (x+2) . This was determined by factoring the given expression x4−4x2−4x+8 x 4 − 4 x 2 − 4 x + 8 by grouping then factoring one of the binomial terms
Step-by-step explanation:
How do you find the x and y coordinates of a location
See below for the steps to find the coordinates
How to determine the x and y coordinatesTo find the x and y coordinates of a point on a coordinate plane, follow these steps:
Identify the point: Look at the graph and locate the point for which you need to find the coordinates.Locate the x-axis and y-axis: Identify the x-coordinate: The x-coordinate of the point is the horizontal distance from the y-axis to the point. Identify the y-coordinate: The y-coordinate of the point is the vertical distance from the x-axis to the point.Lastly, write down the coordinates as an ordered pair (x, y)
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What is the conversion of 1 hp to watts ?
To convert watts to horsepower, use the formula 1Hp = 735Watt.
Watt and horsepower are both power units.
Nevertheless, horsepower is a more potent unit of power. We measure the power of electrical instruments such as turbines, motors, and a variety of other devices using horsepower.
Hence, 1 Horsepower is 735 Watt using standard unit conversion rates.
1 Hp = 735 W
As a result, we have the conventional relationship 1Hp = 735 W. We can now simply convert any horsepower provided to the unit of Watt.
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Solve the inequality
[tex]x { \\ }^{2} < 16[/tex]
The solution of the inequality is x < -4 or x < 4
How to solve inequality?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4
An inequality can be expressed using one of several symbols, including < (less than), > (greater than), <= (less than or equal to), >= (greater than or equal to), and != (not equal to).
x² < 16
Take the square root of both sides:
x < ±√16
x < ±4
x < -4 or x < 4
Therefore, the solution is x < -4 or x < 4
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need help asap please answer all the questions.
2. The area of the cabin's window is 196 square inches.
3. The area of the doghouse is 32.5 square ft.
4. The farmer should purchase 2 begs of soil.
5. The artist needs 161.5 square in material to make the kite.
What is a trapezoid?
A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.
Trapezoids are defined differently by different people. A trapezoid can have one and only one pair of parallel sides, according to one school of mathematics, while another contends that a trapezoid can have multiple pairs of parallel sides. If we take into account the second definition, then a parallelogram is also a trapezoid by that definition. However, the first definition excludes parallelograms from the definition of a trapezoid since it is one of the quadrilateral types that we have already mentioned.
2. The formula for the area of a trapezoid is 1/2 × (sum of parallel side) × height.
The length of one parallel side is 10 inches. The length of the other parallel side is (10+4+4) inches = 18 inches.
The height of the trapezoid is 14 inches
The area of the trapezoid is 1/2 ×(10 + 18) × 14
= 196 square inches.
3.
The formula for the area of a trapezoid is 1/2 × (sum of parallel side) × height.
The length of one parallel side is 5 ft. The length of the other parallel side is (5+3) ft = 8 ft.
The height of the trapezoid is 5 ft.
The area of the trapezoid is 1/2 ×(5 + 8) × 5
= 32.5 square ft.
4.
The area of a parallelogram is the product of height and base.
The length of the base is (2.5 yards + 6.5 yard) = 9 yards
The height of the parallelogram is 6 yards.
The area of the parallelogram is 9 yards × 6 yards
= 54 square yards
Each beg can cover 40 square yards field.
The number of begs that the farmer need is 56/40 = 1.4 ≈2
5.
The area of the kite is half of the product of diagonals.
The length of diagonals are (8.5 in + 8.5 in) = 17 in and (6 in + 13 in) = 19 in
The area of the kite is (17×19)/2 = 161.5 square in.
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lee makes $64 an hour. if he wants to make no less than $400 each day to save for a trip, at least how many hours must he work each day? brainly
Answer:
PAYMENT = 64
AMOUNT WANTED = 64
SO: 400 / 64 = 6.25
SO LEE NEEDS TO WORK FOR 6.25 HOURS IN EACH DAY.
On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
The true statement about Graphed Function is:
f(x) > 0 over the interval (–∞, –4)
What is Interval in graph?A graph is referred to be an interval graph if each of its vertices can be connected to a real line interval in such a way that two vertices are only connected if and only if the connected intervals have a nonempty intersection.
Given:
Our curve has a minimum at (-2.5, -12)
Our curve has a maximum at (0, - 3)
We know that the curve crosses the x-axis at (-4, 0) and y-axis at (0, -3)
At the value x = -2.5 > (-4) the function is negative.
So, f(-2.5) = -12
f(-4) = 0
As a result, it is clear that the function is negative after f(x) crosses the x-axis at x = -4.
This implies that the function must be positive prior to that point.
Thus, the function > 0 for x values less than -4.
f(x) > 0 if x < -4
From this, we can conclude that in the range (-∞, –4), the function is above the x-axis.
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how to convert147 cm to feet?
The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.
Centimeters and feet are the units which are used to measure the length of the given parameter.Relation between centimeter and feet is equal to :
One centimeter is equal to 0.0328084 feet.
Now substitute the required converted value centimeter to feet we have,
⇒ 147 centimeters = ( 147 ) × ( 0.0328084 ) feet
⇒ 147 centimeters = ( 4.8228348 ) feet
⇒ 147 centimeters = ( 4.82283 ) feet ( Round upto four decimals )
Therefore, the converted units centimeter to feet as per the measurements is equal to ( 4.82283 ) feet ( Round upto four decimals ) .
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For what types of associations are regression models useful?Choose the correct answer below.Non-linear Linear Both linear and non-linearFor all types of associations
Regression is a statistical procedure for determining the linear relationship between a number of variables. A simple regression model has one dependent variable and one independent variable [tex](y)[/tex]
It is used to forecast the amount of a dependent variable according to the results of one independent variable. [tex](x)[/tex]
The estimated least-squares line has the following shape :[tex]y=bo+b1x[/tex].
In this case, the dependent variable is, the independent variable is, the intercept is, and the slope coefficient is.
The slope of a linear regression describes how a unit change in x changes the y value.
When, the intercept represents the expected mean value of Y. When X never equals zero, the intercept has no intrinsic meaning.
Step (1) The process of estimating the linear relationship between two or more variables is known as regression. Only if there is a linear relationship between both variables can a regression equation be used to predict future.
Linear regression is the most fundamental a kind of regression and is the most widely used proposed model. A regression line can be used to predict dependent variables based on independent variables.
Step: (2) Outliers have a significant impact on the slope of the regression line. Influential points are also referred to as outliers in regression analysis.
Outliers can have a significant impact on the regression equation, so remove any outliers that are recognized errors. Consider the effects of any known inconsistencies that are outliers.
Step 3: Because outliers can have a large impact on the regression line, they are also referred to as important and powerful points.
An outlier is a data point that is located far away first from remaining pieces of data. These are additionally known as influencing points. Outliers have a significant influence on the slope of something like the regression line.
For linear associations, regression models can be utilized.
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30c^8d^3 - 3bc^6 d^2 + 6c^8 d divided by 12c^2 d (polynomials divided by monomials written in standard form)
To divide polynomials by a monomial written in standard form, you can divide each term of the polynomial by the monomial separately. Applying this to the given expression, we get:
(30c^8d^3 - 3bc^6d^2 + 6c^8d) / (12c^2d)
= 30c^8d^3/(12c^2d) - 3bc^6d^2/(12c^2d) + 6c^8d/(12c^2d)
= 2.5c^(8-2)d^(3-1) - 0.25bc^(6-2)d^(2-1) + 0.5c^(8-2)d^(1-1)
= 2.5c^6d^2 - 0.25bc^4d + 0.5c^6
= 5c^6d^2 - 0.5bc^4d + c^6/2
Therefore, the simplified expression is 5c^6d^2 - 0.5bc^4d + c^6/2.
Your uncle has $1,375,000 and wants to retire. He expects to live for another 25 years and to earn 7.5% on his invested funds. How much could he withdraw at the end of each of the next 25 years and end up with zero in the account? a. 592,514.13 b.5127,052.74 OC $97,448.22 d. 5124,585.70 6.5123,352.17
He can withdraw $114746.17 (approx.) at the end of each of the next 25 years and end up with zero in the account. The solution has been obtained by using the concept of present value of annuity.
What is present value of annuity?
With a specific rate of return, or discount rate, an annuity's present value is the current worth of its expected future payments. The present value of the annuity decreases with increasing discount rates.
We are given that uncle has $1,375,000 and wants to retire. He expects to live for another 25 years and to earn 7.5% on his invested funds.
Using present value of annuity,
Present value of annuity due = P + P [(1 - (1 + r)⁻⁽ⁿ⁻¹⁾) / r]
1375000 = P + P [(1 - (1+0.075)⁻⁽²⁵⁻¹⁾)/0.075]
1375000 = P [1 + 10.98297]
P = 1375000/11.98297
P = $114746.17 (approx.)
Hence, uncle can withdraw $114746.17 (approx.) at the end of each of the next 25 years.
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Genevieve's family traveled
2
7
of the distance to her grandfather’s house on Saturday. They traveled
4
5
of the remaining distance on Sunday. What fraction of the total distance to her grandfather’s house was traveled on Sunday?'
2/4 + 4/5
=28/35 is the total distance to her grandfather's house
a1: What was the meal's subtotal?
a2: How much was the 18% tip?
a3: What was the TOTAL cost of their meal?
b: If they split the final cost, how much will each pay?
a. The subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.
b. Each persοn wοuld pay $13.84.
What is Additiοn?The additiοn is a basic arithmetic οperatiοn that cοmbines twο οr mοre quantities intο a single sum. It is οne οf the fοur basic οperatiοns in arithmetic, alοng with subtractiοn, multiplicatiοn, and divisiοn.
In additiοn, the quantities being cοmbined are called addends, and the result οf the additiοn οperatiοn is called the sum. The additiοn is represented using the plus sign (+), which is placed between the addends. Fοr example, the additiοn expressiοn "3 + 5" means that we are adding 3 and 5 tοgether tο get a sum οf 8.
Fοr example, tο add the numbers 34 and 56, we start by adding the digits in the οne's place, which gives us 4 + 6 = 10. We write dοwn the 0 and carry the 1 οver tο the tens place. Then we add the digits in the tens place, which gives us 3 + 5 + 1 = 9. The final answer is 90.
a: Subtοtal = Hamburger + Guacamοle + Cheeseburger + Fries + Sοda + Milk
Subtοtal = $7.99 + $1.00 + $8.99 + $2.49 + $1.99 + $0.99
Subtοtal = $23.45
Tip = 18%×Subtοtal
Tip = 0.18 × $23.45
Tip = $4.22 (rοunded tο the nearest cent)
Tοtal = Subtοtal + Tip
Tοtal = $23.45 + $4.22
Tοtal = $27.67 (rοunded tο the nearest cent)
Therefοre, the subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.
b: If Sue and her friend split the final cοst equally, each persοn wοuld pay half οf the tοtal cοst:
$27.67 / 2 = $13.84 (rοunded tο the nearest cent)
Therefοre, each persοn wοuld pay $13.84.
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Help for number 4 please
The domain and ranges of the relations are;
3. Domain; {3, 5, -10, 9}
Range; {-4, 0, 6}
4. Domain; -2 ≤ x ≤ 4
Range; -2 ≤ y ≤ 4
What is the domain and range of a function?The domain is the set of the set of the possible input values of the relation and the range is the set of the possible output values of the relation
3. {(3, -4), (5, -4), (3, 0), (-10, 6), (9, 6)}
The above ordered pair are presented in the form (x, y), where, the input values are the x-values and the output values are the y-values
The domain which is the set of the input values is therefore;
Domain; {3, 5, -10, 9}The range is therefore;
Range: {-4, 0, 6}The x-value of 3 has two different y-values of -4 and 0. therefore, the relation is not a function
4. The relation is location of points on the circumference of a circle.
The input values are the x-values related to the graph, and the output values are the y-values related to the points on the circumference of the circle.
The diameter of the circle parallel to the x-axis extends from (-2, 1) to (4, 1)
The coordinates of locations on the diameter of the circle parallel to the y-axis are; (1, 4), and (1, -2)
The possible x-values, and therefore the domain are; -2 ≤ x ≤ 4
The possible y-values and therefore the range (vertical extension or reach of the circle) are; -2 ≤ y ≤ 4
The x-value of x = 1 has two y-values of -2 and 4, the relation between the x and y-values is therefore not a function.
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why did the congruent triangles get caught cheating
The volume of a big pot is 2 gallons, and the volume of a small pot is 3 quarts. What is the difference in volume between the two pots?
The difference between the two pots is 4731.761 cm^3
How to determine this?
1 gallon = 3785.41 cm^3
2 gallons = 3785.41 cm^3 *2
= 7570.82 cm^3
And also,
1 quart = 946.353 cm^3
3 quarts = 946.353 cm^3 * 3
= 2839.059 cm^3
So, the difference between the two
= 7570.82 cm^3 - 2839.059 cm^3
= 4731.761 cm^3
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13 5/12 - 6 7/12 Please help me asap i really need this answer in fractions
A number increased by five percent result is then increased by five percent what is the percent of increase
Answer:
Step-by-step explanation:
Find the equation of a line perpendicular to y=−4x+4 that contains the point (5,−1).
The equation of the line perpendicular to y = -4x + 4 that contains the point (5, -1) is y = 1/4x - 9/4.
The given equation is y = -4x + 4, which is in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
To find the slope of the given line, we can compare it to the slope-intercept form and see that the slope is -4.
Since we want to find the equation of a line that is perpendicular to the given line, we know that its slope will be the negative reciprocal of -4.
The negative reciprocal of -4 is 1/4, so the slope of the perpendicular line is 1/4.
Now we have the slope of the line and a point that it passes through, so we can use the point-slope form of a line to write the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope we just found.
Plugging in the values, we get:
y - (-1) = 1/4(x - 5)
Simplifying this equation, we get:
y + 1 = 1/4x - 5/4
Subtracting 1 from both sides, we get the final equation:
y = 1/4x - 9/4
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a car dealership pays $8,350 for a car. ther mask up the price by 17.4% to get the retail price. what is the retail price of the car at this dealership?
The retail price of the car at the dealership is $9,803.90. This means that the dealership is adding a markup of $1,453.90, or 17.4% of the cost, to sell the car to customers.
To find the retail price of the car at the dealership, we need to add 17.4% to the dealership's cost of $8,350. Here are the steps to do this calculation:
Multiply the cost of the car by the percentage markup as a decimal. To convert a percentage to a decimal, divide it by 100. So 17.4% as a decimal is 0.174.
Markup = $8,350 x 0.174 = $1,453.90
Add the markup to the cost of the car to get the retail price.
Retail Price = $8,350 + $1,453.90 = $9,803.90
It's important to note that the final selling price of the car may be negotiable, and that other fees and taxes may also be added to the retail price.
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