To find the difference between 87 and 12 12, we need to convert 12 12 to an improper fraction.
12 12 = (12 x 2 + 12) / 2 = 36/2 + 12/2 = 48/2 = 24
Now we can subtract the fractions:
87 - 24/12 = 87 - 2 = 85
Therefore, the difference between 87 and 12 12 is 85.
pls help due in an hour if you get it right ill mark you brainliest
Answer: First one
Step-by-step explanation:
7.1 Lesson A Rational Existence Introduction to Rational Functions
You have to include a question or a link to thw question so qe could solve it.
a confidence interval for the population mean number of us states americans have visited was found to be 11.4 to 12.5. find the best point estimate of this confidence interval.
The best point estimate of the confidence interval is the midpoint or the mean of the interval.
The confidence interval is a range of values that we are confident contains the true population mean.
However, to get a single estimate of the population mean, we use the midpoint of the interval as the point estimate.
This is because the midpoint represents the most likely value of the population mean based on the sample data.
Therefore, the best point estimate for this confidence interval would be the average of the two endpoints:
(11.4 + 12.5) / 2 = 11.95
Hence, the best point estimate for the confidence interval 11.4 to 12.5 is 11.95, which represents the most likely value of the population mean based on the sample data.
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find the coterminal angle of -36 that is between 0 and 360
The coterminal angle of -36° that is between 0° and 360° are -396° and 324°.
We need to find the coterminal angle of -36° that is between 0° and 360°.
We find one negative angle and one positive that is coterminal with angle =θ=-36°
The coterminal of a given angle for one full rotation can be solved by: θ±360°n
Note that n is the number of rotations.
positive n means counterclockwise rotation
negative n means clockwise rotation
In order to find one negative angle that is coterminal with the given angle, we subtract 360° and apply one full rotation counterclockwise (n=1)
θ-360°n
When n=1
Now, -36°-360°(1)
= -396°
Hence, one negative angle that is coterminal with the given angle is -396°.
In order to find one positive angle that is coterminal with the given angle, we subtract 360° and apply one full rotation clockwise (n=-1)
θ+360°n
When n=1
Now, -36°+360°(1)
= 324°
Therefore, the coterminal angle of -36° that is between 0° and 360° are -396° and 324°.
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Which inequality is graphed below
Answer: x < 4
Step-by-step explanation:
The graph uses an open circle, this means we will use the < or > symbol because it is not equal to.
The open circle is on the 4.
The arrow goes to the left of 4, meaning it is equal to values less than 4.
Our inequality:
x < 4
A man bought some property and later sold it for $50,850 making a profit of 13%. How much did the property cost him?
What number does point A represent?
In the figure of the number line A represent
7.4What is a number line?A number line is a horizontal representation of number parts with equal intervals
The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values
Examining the figure shows that there are 5 divisions before on each interval and the numbers from 7 are
7.2
7.4
7.6
7.8
A occupies 7.4
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Please help, thank youuuu
The area of the composite figure is
321 square m
How to find the area of the composite figureThe area is calculated by dividing the figure into simpler shapes.
The simple shapes used here include
triangle anda quarter of a circleArea of triangle = 1/2 x base x height
height = √(22² + 15²) = 16
= 1/2 x 15 x 16
= 120 square m
Area of quarter of circle = 1/4 x π x r²
= 1/4 x π x 16²
= 201 square m
Total area
= 201 square m + 120 square m
= 321 square m
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Need some help with that
The work done in each of the cases is:
B) W = 8,400 N*m
C) W = 17,500 N*m
How to find the work done?The work can be defined by the product between the force and the distance translated.
W = Force*Distance
So, if there is a force of 120N and the vehicle moves 70 meters, the work done is:
W = 120N*70m = 8,400 N*m
C) Similar case to the above one, here the force is F = 3.5 KN = 3,500N
And the distance is d = 15m
Then in this case the work done is:
W = 3,500N*15m = 17,500 N*m
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Look at the system of equations below. Which of these statements must be true? Check ALL that applies.
y= -2x+5
y= -2x+3
The statements are:
1.) The lines intersect at one point
2.) The equations represent parallel lines
3.) The equations represent the same line
4.) The solution to the system will have no solution
5.) The solution to the system will have infinitely many solutions
6.) The system is inconsistent
7.) The system is consistent
8.) The system is independent
9.) The system is dependent
Find the area of the composite figure, the figure consist of a square and a half circle
Step-by-step explanation:
A. Circle = πr²
A. half circle = 1/2 πr²
A. Rectangle = w × l
we know that
w = d = 8 ft
r = 1/2 d
= 1/2 × 8
= 4 ft
l = 10 ft
π = 3.14
Total area = A. Circle + A. rectangle
= 1/2 πr² + w × l
= (1/2 × 3.14 × (4)²) + 8 × 10
= (1/2 × 3.14 × 16) + 80
= 3.14 × 8 + 80
= 25.12 + 80
= 105.12 ft
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please help urgently
The transformations that maps triangle A onto triangle B are given as follows:
Reflection over the line y = 2.Dilation with a scale factor of 0.5.Reflection over the y-axis.What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.We note that the triangles have different orientations, hence the triangle A was reflected over the line y = 2.
The side lengths on triangle B are half the side lengths on triangle A, hence there was a dilation with a scale factor of 0.5.
Then the x-coordinates of the triangles had it's signal exchanged, meaning that the graph was reflected over the y-axis.
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In spring 2017, data was collected from a random selection of sta 2023 students. one of the questions asked how many hours they had exercised in the past 24 hours. for the 39 randomly selected upperclassmen, the sample mean was 0.76 and sample standard deviation was 0.75. for the 35 randomly selected underclassmen, the sample mean was 0.60 and the sample standard deviation was 0.73. what is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?
Point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.
Explain the process to calculate point estimate of the difference in the population mean?To calculate point estimate of the difference in the population mean exercised between underclassmen and upperclassmen we use the difference between the sample means:
point estimate = x1 - x2
where x1 is the sample mean for the upperclassmen and x2 is the sample mean for the underclassmen.
Substituting the given values, we get:
point estimate = 0.76 - 0.60
point estimate = 0.16
Therefore, the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.
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A helicopter hovers 1250 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 40° How far off the coast, to the neared foot, is the island?
Step-by-step explanation:
tan (40) = 1250 / x
x = 1250 / tan 40 = 1490 ft
Morning ConsultPolitico poll of 1997 registered voters in July 2020 asked a standard polling question of whether the United States was headed in the "Right Direction" or was on the "Wrong Track: "74.7\% said that things are on the wrong track vs. 25.3% who said "right direction Calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 90% confidence.
The margin of error for the proportion of all U.S. adults who think things are on the wrong track for 90% confidence is approximately 2.2%.
To calculate the margin of error, we first need to find the standard error, which can be calculated using the formula:
Standard Error = Square Root [ (p * q) / n ]
where p is the proportion of the sample who said things are on the wrong track (0.747), q is the complement of p (1 - p, which is 0.253), and n is the sample size (1997).
Plugging in the values, we get:
Standard Error = Square Root [ (0.747 * 0.253) / 1997 ] = 0.014
To find the margin of error at 90% confidence, we need to multiply the standard error by the z-score corresponding to 90% confidence, which is 1.645.
Margin of Error = 1.645 * 0.014 = 0.022 or approximately 2.2%
Hence, we can say with 90% confidence that the true proportion of all U.S. adults who think things are on the wrong track is between 72.5% and 77.0% (74.7% ± 2.2%).
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the diameter of a quater is 24mm. what is the quater's circumfrence
Answer:
75.4mm
Step-by-step explanation:
Circumference is the distance around a circle (just like perimeter, but a special word just for circles)
You find circumference by this formula:
C = pi•d
where d is the diameter.
They gave you the diameter in your problem, 24mm
C = pi•24
C = 75.39822
Rounded to the nearest tenth is 75.4mm
(also 24pi is a perfectly good, exact answer or 75.40mm if you need it rounded to two decimal places)
Kai, aron and grace share the same birthday cake. They cut their shared birthday cake into 3 slices with sizes propotional to their ages. What is the angle in degrees at the centre of arons slice of cake
The angle in degrees at the center of Aron's slice of cake is (A / (A + K + G)) × 360 degrees.
Assuming that the cake is divided into three slices, with each slice having a size proportional to the age of each person, let A, K, and G represent the ages of Aron, Kai, and Grace, respectively. Then, the total size of the cake can be represented as A + K + G.
Let x be the size of Aron's slice of cake. Then, Kai's slice of cake is (K / (A + K + G)) × 360 degrees, and Grace's slice of cake is (G / (A + K + G)) × 360 degrees.
Since the total angle at the center of the cake is 360 degrees, we can write
x + (K / (A + K + G)) × 360 degrees + (G / (A + K + G)) × 360 degrees = 360 degrees
Simplifying this equation, we get
x = (A / (A + K + G)) × 360 degrees
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What is the image of ( 0 , − 7 ) (0,−7) after a dilation by a scale factor of 4 4 centered at the origin?
Therefore, the image of the point (0, -7) after a dilation by a scale factor of 4 centered at the origin is (0, -28).
What is scale factor?In mathematics, a scale factor is a numerical value that describes how much an object has been scaled or resized. It is the ratio of the size of the image to the size of the original object. Scale factors can be applied to two-dimensional or three-dimensional objects, and can be used to describe enlargements (scaling up) or reductions (scaling down) of the object.
Here,
To find the image of the point (0, -7) after a dilation by a scale factor of 4 centered at the origin, we can use the following formula:
(x', y') = (kx, ky)
where (x, y) is the original point, (x', y') is the image of the point after dilation, k is the scale factor, and the dilation is centered at the origin.
In this case, the original point is (0, -7), the scale factor is 4, and the origin is (0, 0). Plugging these values into the formula, we get:
(x', y') = (4 * 0, 4 * (-7))
Simplifying, we get:
(x', y') = (0, -28)
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an overnight express company must include thirteen cities on its route. how many different routes are possible, assuming that it does matter in which order the cities are included in the routing?
The total number of routes possible is 6227020800, under the given condition that a overnight express company must include thirteen cities on its route, assuming that it does matter in which order the cities are included.
For this given question in order to find the accurate answer we have to perform calculations based on the principles of factorial operation.
The total number of different routes possible, considering that it matters in which order the cities are included is 13!
The factorial of 13 is evaluated
13! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 6227020800
The total number of routes possible is 6227020800, under the given condition that a overnight express company must include thirteen cities on its route, assuming that it does matter in which order the cities are included.
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Please help me with this homework
Answer: 4cm²
Step-by-step explanation:
To find the area of a triangle, we can use the formula:
Area: (base x height) ÷ 2
In this case, the base of the triangle is 4cm and the height of the triangle is 2cm. We simply replace the values with the variables in the formula. So, we get:
Area: (4cm x 2cm) ÷ 2
Area: 8cm² ÷ 2
Area: 4cm²
Therefore, the area of the triangle is 4cm².
he goal of an algebraic equation is to determine the value of the variable. You can do that by isolating it or by getting the variable alone on one side of the equal sign. To solve an equation, use inverse operations. That means undoing or “canceling out” the effects of an operation by using its opposite operation. If you see subtraction, use addition, and vice versa. If you see division, use multiplication, and vice versa. You must use inverse operations on both sides of the equal sign to keep the equation balanced.
How can you isolate the variable in this equation?
x + 6 = 13
A)Add 6 to 13.
B)Add 6 to both sides.
C)Subtract x from both sides.
D)Subtract 6 from both sides.
The value of the variable x in the equation x + 6 = 13 is 7.
Hence, the correct option is D.
To isolate the variable x in the equation x + 6 = 13, we need to undo the effect of adding 6 to x. The opposite operation of addition is subtraction. Therefore, to isolate x, we need to subtract 6 from both sides of the equation.
Here's how we can do it step by step
x + 6 = 13 (Given equation)
x + 6 - 6 = 13 - 6 (Subtracting 6 from both sides)
x = 7 (Simplifying)
Therefore, the value of the variable x in the equation x + 6 = 13 is 7.
Hence, the correct option is D.
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Ella's cat has climbed up onto the roof of her house and cannot get down! The roof of the house is 24 feet above the ground. The fire department has set up a 28-foot ladder to climb to rescue the cat. The base of the ladder is resting on the ground, and the top of the ladder extends 2 feet beyond the edge of the roof. How far away from the base of the house is the base of the ladder? You may want to draw a diagram to help you solve the problem.
Answer:
10feet
Step-by-step explanation:
Calculate the length from the base of the stair to the walls of the house.
We have the ladder extend 2 feet beyond the edge of the roof so 28-2=26feet
Let x is the length from the base of the stair to the wall of the house
(26)²=(24)²+x²
x²=(26)²-(24)²=676-576=100
x=√100=10feet
So the length from the base of the stair to the wall of the house is 10 feet.
eastside middle school has 75% student participation in the fall carnival determine which of the simulations below could model the probability of a student participating
A model that could model the probability of a student participating is a model in which 3 out of 4 outcomes represent a success.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The participation rate in this problem is of 75%, which represents the probability of a success, hence we want to model an experiment in which 3 out of 4 outcomes represent a success.
One possible example is using numbers from 1 to 4, in which:
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Find the equation of the trend line (line of best fit). Show your work.
A linear equation of the trend line (line of best fit) that models the data point contained in the table is y = 1.875x - 12.25.
How to determine the equation of the trend line (line of best fit)?In order to determine a linear equation of the trend line (line of best fit) that models the data point contained in the table (see attachment), we would have to first calculate the slope as shown below.
In Mathematics and Geometry, the slope of any linear equation can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided about the servers' collected tips (in dollars) with respect to customers, we have the following parameters:
Point (x, y) = (34, 76)Point (x, y) = (42, 91)Substituting the given points into the formula, we have;
Slope, m = (91 - 76)/(42 - 34)
Slope, m = 15/8
Slope, m = 1.875
At point (34, 76), the equation of this line is given by:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x represents the customersy represents the tips ($).By substituting the data points, we have;
y - 76 = 1.875(x - 34)
y - 76 = 1.875x - 63.75
y = 1.875x - 63.75 + 76
y = 1.875x - 12.25
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the table shows the number of people testing positive for a certain disease amongst who dohave the disease and amongst those who don't. use the table to answer the question. testpositivetestnegativetotaldisease11211123no disease108687919877total1198880210000what percent of those who have the disease tested positive?
The percentage of people those who have the disease and are tested positive are calculated to be approximately 91.06%.
The table shows the number of people testing positive and negative for a certain disease, categorized by those who have the disease and those who do not.
To find the percentage of those who have the disease and tested positive, we need to divide the number of people who have the disease and tested positive by the total number of people who have the disease, and then multiply by 100 to express the result as a percentage.
From the table, we can see that the number of people who have the disease and tested positive is 112.
The total number of people who have the disease is 123.
Therefore, the percentage of those who have the disease and tested positive is:
(112/123) x 100% = 91.06%
Therefore, approximately 91.06% of those who have the disease tested positive.
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on the interval determine which angles are not in the domain of the given functions. what angles are not in the domain of the tangent function on the given interval? given in order from least to greatest.
In the interval [0, 2π), the cosine function is equal to zero at θ = π/2 and 3π/2. As a result, the domain of the tangent function on this interval does not include these angles.
So the angles that are NOT in the domain of the tangent function on the interval [0, 2π) are:
π/2 (90 degrees)
3π/2 (270 degrees)
The tangent function is a trigonometric function that describes the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. Specifically, it is defined as the ratio of the sine of an angle to the cosine of that angle.
The tangent function is denoted by the symbol "tan" and is typically used in mathematics and physics to solve problems involving angles and triangles. It is one of the six basic trigonometric functions, along with sine, cosine, cosecant, secant, and cotangent. The value of the tangent function ranges from negative infinity to positive infinity, and it has periodicity of 180 degrees. The tangent function is undefined at certain angles, such as 90 degrees and 270 degrees, where the adjacent side is equal to zero.
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Complete Question: -
On the interval [0,2π) determine which angles are not in the domain of the tangent function, f(θ)=tan(θ)
What angles are NOT in the domain of the tangent function on the given interval?
Ms. Clea wants to know the average number of assignment her advisory class have in a day. The probability that they have no assignment is 0. 3, the probability that they have one assignment is 0. 2, the probability that they have two assignments is 0. 3, and the probability that they have Three assignment is 0. 2, Write the probability distribution and find the expected value of the number of assignments they have one Day
The expected number of assignments for Ms. Clea's advisory class in a day is 1.4.
The probability distribution can be written in a table as follows:
When Number of assignments 0,1,2,3, probability will be 0.3, 0.2, 0.3, 0.2 respectively.
To find the expected value, we can use the formula:
Expected value = Σ (number of assignments × probability)
where the sum is taken over all possible values of the number of assignments.
So, the expected value is:
Expected value
[tex] = (0 \times 0.3) + (1 \times 0.2) + (2 \times 0.3) + (3 \times 0.2) \\ = 0 + 0.2 + 0.6 + 0.6 \\ = 1.4[/tex]
Therefore, the expected number of assignments for Ms. Clea's advisory class in a day is 1.4.
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I’m so confused can someone please help me?
Answer:
[tex]3 \sqrt{49 {b}^{3}d } = 3 \sqrt{49} \sqrt{ {b}^{2} } \sqrt{bd} [/tex]
[tex]3 \times 7 |b| \sqrt{bd} = 21 |b| \sqrt{bd} [/tex]
If this does not work, try
[tex]21b \sqrt{bd} [/tex]
olivia has $250 to buy presents for her 3 sisters and 2 nephews she wants to spend $10 more on each sister than she spends on her nephew
Olivia plans to spend $44 on each nephew and $54 on each sister, for a total of $250 on presents.
What is variables?
In mathematics, a variable is a symbol or letter that represents a value that can change or vary. Variables are commonly used in algebraic expressions and equations to denote unknown values that need to be determined, or to represent values that can change in a given situation.
For example, in the equation y = 2x + 3, x is a variable that can represent any number, and y is the value that results from multiplying x by 2, adding 3, and solving for y. In this case, x can be any number, so it is a variable.
Let's start by assigning some variables to represent the amounts Olivia spends on each present. Let's call the amount she spends on each nephew "n" and the amount she spends on each sister "s". We know that Olivia has 2 nephews and 3 sisters, so we can write:
2n + 3s = 250
We also know that Olivia wants to spend $10 more on each sister than she spends on her nephew. In other words, the amount she spends on a sister is $10 more than the amount she spends on a nephew:
s = n + 10
Now we can substitute this expression for "s" into the first equation to get:
2n + 3(n + 10) = 250
Simplifying this equation, we get:
5n + 30 = 250
Subtracting 30 from both sides, we get:
5n = 220
Dividing both sides by 5, we get:
n = 44
So Olivia plans to spend $44 on each nephew. Using the equation s = n + 10, we can see that she plans to spend $54 on each sister.
To check that this solution works, we can verify that the total amount Olivia plans to spend on presents is equal to $250:
2(44) + 3(54) = 88 + 162 = 250
Therefore, Olivia plans to spend $44 on each nephew and $54 on each sister, for a total of $250 on presents.
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Enlarge shape A by scale factor
1
3
with centre of enlargement (-3, -6).
What are the coordinates of the vertices of the image?
Check the picture below.
