Answer: 135
Step-by-step explanation: All you need to do is 180-45=135.
The 180 minus 135 is equal to 45.
To find the value that, when subtracted from 180, gives a result of 45, set up the following equation:
180 - x = 45
To solve for x, to isolate it on one side of the equation by subtracting 180 from both sides:
180 - 180 - x = 45 - 180
Simplifying:
-x = -135
Now, to solve for x, multiply both sides of the equation by -1 to change the sign:
(-1) × (-x) = (-1) × (-135)
x = 135
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What is the measure of the angles? (Help pls)
Answer:
13 degrees
Step-by-step explanation:
working out is attached
hope it helps:)
.Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between 63.76 and 64.24 inches. The process that produces the piece yields a mean of 64 and a standard deviation of 0.1 inches. The distribution of output is normal. What percentage of the pieces will meet the length specs?
The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.
The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1
The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.
To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4
Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4
Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.
The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%
Therefore, the percentage of the pieces that will meet the length specs is 98.78%.
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What is 27 divided by 6.75
Answer:
4
Step-by-step explanation:
What is the slope? I will give brainliest
Answer:
The rise over run is -1/2
Step-by-step explanation:
int \( a[4]=\{1,2,3,4\} \) int \( { }^{*} p=a \); What is the value of \( *(p+3) ? \)
The value of the expression is 4.
The code :
int a[4] = {1, 2, 3, 4};
int *p = a;
what is *(p + 3)?
The variable a is an array of integers, and the variable p is a pointer to the first element of the array.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
Here is a breakdown of the code:
int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.
int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.
what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
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Correct Question :
Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?
Need answers ASAP. Please help
What the polynomial said when it sat down for dinner is "I've got a lot of roots" (sounds like "I've got a lot of fruits") as a polynomial equation can have multiple roots.
What are polynomial equations?Polynomial equations are equations in which the variables and coefficients are combined using the mathematical operations of addition, subtraction, and multiplication, but not division by a variable.
The degree of a polynomial equation is determined by the highest power of the variable in the equation.
Polynomial equations can have one or more variables and are often used in mathematical modeling to represent real-world phenomena. The solutions to polynomial equations can be found by factoring, using the quadratic formula, or using numerical methods.
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A test used to determine whether or not first-order autocorrelation is present is _____ test.
a. chi-square
b. t
c. Durbin-Watson
d. serial-autocorrelation
The test used to determine whether or not first-order autocorrelation is present is the Durbin-Watson test.
1. Fit a regression model to the data.
2. Obtain the residuals, which represent the differences between the observed values and the predicted values from the regression model.
3. Calculate the Durbin-Watson statistic, which is a ratio of the sum of squared differences between adjacent residuals to the sum of squared residuals.
4. Compare the calculated Durbin-Watson statistic to critical values from a Durbin-Watson table or use statistical software to determine if there is significant autocorrelation.
5. The Durbin-Watson statistic ranges from 0 to 4, where a value around 2 suggests no autocorrelation, a value below 2 indicates positive autocorrelation, and a value above 2 indicates negative autocorrelation.
6. By analyzing the Durbin-Watson statistic, researchers can make conclusions about the presence or absence of first-order autocorrelation in the regression model.
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Cadence baked 45 cupcakes on Tuesday. This was 3 more than twice the number of cupcakes she baked on Monday. How many cupcakes did Cadence bake on Monday?
Group of answer choices
25
21
24
14
Considering the definition of an equation and the way to solve it, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns.
The members of an equation are each of the expressions that appear on both sides of the equal sign.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Cupcakes baked on MondayBeing "x" the number of cupcakes baked by Cadence on Monday, and knowing that:
Cadence baked 45 cupcakes on Tuesday. The number of cupcakes baked on Tuesday was 3 more than twice the number of cupcakes she baked on Monday.the equation in this case is:
3 + 2x= 45
Solving:
2x= 45 -3
2x= 42
x= 42 ÷ 2
x= 21
Finally, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.
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Which of the following is/are example(s) of convex set? a. C={(x,y,z)∈R^3∣x^2+y^2+z^2≥100} b. C={(x,y,z)∈R^3∣(x−2)^2+(y−1)^2+(z−2)^2≤400} c. C={(x,y)∈R^2∣x≥1} d. C={(x,y)∈R^2∣x−y=10} e. None of the options is convex set.
The convex sets among the given options are a. C={(x,y,z)∈R^3∣x^2+y^2+z^2≥100} and c. C={(x,y)∈R^2∣x≥1}. These sets satisfy the definition of convexity, while the other options do not.
A set C in Euclidean space is called convex if for any two points x and y in C, the line segment connecting x and y lies entirely within C.
a. C={(x,y,z)∈R^3∣x^2+y^2+z^2≥100} is a convex set. For any two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in C, the line segment connecting them is a subset of the sphere defined by x² + y² + z² = 100 or its exterior. Therefore, the set C is convex.
b. C={(x,y,z)∈R^3∣(x−2)^2+(y−1)^2+(z−2)^2≤400} is not a convex set. It represents a closed ball centered at (2, 1, 2) with a radius of 20. However, the line segment connecting points on the surface of the ball may extend outside the ball, violating the definition of convexity.
c. C={(x,y)∈R^2∣x≥1} is a convex set. For any two points (x₁, y₁) and (x₂, y₂) in C, the line segment connecting them lies entirely to the right of the vertical line x = 1. Hence, the set C is convex.
d. C={(x,y)∈R^2∣x−y=10} is not a convex set. It represents a line in the xy-plane. However, the line segment connecting two points on the line may extend outside the line, violating convexity. Therefore, the options a and c are examples of convex sets, while the others do not satisfy the definition of convexity.
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suppose you take a sample of 50 students from your school and measure their height. which one of the following is a random variable?
If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .
A Random Variable is a defined as a variable whose value depends on the outcome of a random event.
Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.
Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.
Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So, it is a fixed value and not a random variable.
Therefore , The mean of the sample data will be a random variable .
The given question is incomplete , the complete question is
Suppose you take a sample of 50 students from your school and measure their height. Which one of the following is a random variable?
(a) The true mean height of all students from your school.
(b) The mean of the sampling distribution of mean heights for samples of size 50.
(c) The mean of the sample data.
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Find the solution to the differential equation y' - 2xy = x³ ex², y(0) = 5.
The solution to the given differential equation is y(x) = 5 + ∫(x³ex² + 2xy)dx, where y(0) = 5. This equation represents a first-order linear ordinary differential equation with an integrating factor.
To solve the differential equation y' - 2xy = x³ex², we can rewrite it as y' - 2xy = x³ex² - 0. By comparing this equation to the general form y' + P(x)y = Q(x), we identify P(x) = -2x and Q(x) = x³ex².
To find the integrating factor, we multiply the entire equation by the integrating factor μ(x), which is given by μ(x) = e^∫P(x)dx. In this case, μ(x) = e^∫(-2x)dx = e^(-x²).
Multiplying the given equation by μ(x), we have e^(-x²)y' - 2xey^2 = x³ex²e^(-x²). We can simplify this equation to d(e^(-x²)y)/dx = x³.
Now, we integrate both sides with respect to x: ∫d(e^(-x²)y)/dx dx = ∫x³ dx. This gives us e^(-x²)y = x⁴/4 + C, where C is the constant of integration.
Solving for y, we have y(x) = (x⁴/4 + C)e^(x²). Applying the initial condition y(0) = 5, we find that C = 5. Therefore, the solution to the differential equation is y(x) = 5 + (x⁴/4 + 5)e^(x²).
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Range of g(x)=3 square root of x
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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there are 12 blue shirts and 7 purple shirts in a drawer. three shirts are randomly selected without replacement. what is the probability of selecting two purple shirts then a blue shirt? (write your answer as a fraction reduced to lowest terms. format answer 0/0 )
The probability of selecting two purple shirts then a blue shirt is 28/323
Given, there are 12 blue shirts and 7 purple shirts in a drawer.
three shirts are randomly selected without replacement.
the probability of selecting two purple shirts then a blue shirt is,
(C(7 , 2) × C(12 , 1))/C(19 , 3) = ((7×6)/2 × 12)/(19×18×17)/6
= (7×6×6)/(19×3×17)
= 84/969
= 28/323
Hence, the probability of selecting two purple shirts then a blue shirt is 28/323
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Parallel lines m and n are cut by transversal t. Identify if the Pair of angles are vertical or not
vertical.
∠1 and ∠4
A. Vertical
B. Not Vertical
Use the screen shot to find the x
Answer:
69
Step-by-step explanation:
A triangle has a 180 degree angle so you do 180-111=69
Answer: x=24
Step-by-step explanation:
lets say 94 is ∠ a
41 is ∠ b
___ ∠ c
111∠ d
x ∠ e
so with that you will figure out that ∠ c is to find X
108-94-41= 45
so ∠ c is 45
now you can ∠a ∠ b∠ c
with that yo take
108-111-45=24
So X=24
What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem
Answer:
C) SSA Similarity Theorem
Step-by-step explanation:
The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.
calculate the edge length, in cm, of the theoretically smallest possible square of area sun is 5778 k
The edge length of the smallest possible square with an area of 5778 cm² is approximately 76.03 cm.
To calculate the edge length of the smallest possible square with an area of 5778 cm², we can use the formula for the area of a square, which is length multiplied by width. Since a square has all sides equal, we can use the formula A = s², where A represents the area and s represents the side length of the square.
In this case, we have the area of the square given as 5778 cm². To find the side length, we need to take the square root of the area.
√5778 ≈ 76.03 cm
Therefore, the edge length of the smallest possible square with an area of 5778 cm² is approximately 76.03 cm.
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If the mean height is 180cm and the standard deviation is 4. What percentage of the population would lie between 176cm and 184cm?
A.50%
B.68%
C.95%
D.34%
Standard Deviation: Is a measure of how spread out values are in a data set compared to the mean. It is calculated by finding the square root of the variance, which is the average of the squared differences from the mean.
Mean: The average value of a set of numbers. It is calculated by summing up all the numbers in the set and dividing the result by the total number of numbers in the set.
Distribution Curve: is a bell shaped curve that displays the mean with a line down the center of the curve and standards deviations within standard deviations.
See attached file for model of curve, from: https://commons.wikimedia.org/wiki/File:Standard_deviation_diagram.svg
Given the mean and standard deviation we can use a general rule to determine the population between the given lengths.
Generally in a normal distribution:
68% of the data falls between -1σ and +1σ95% of the data falls between -2σ and +2σ99.75 of the data falls between -3σ and +3σ176 cm is 1 standard deviation less than the mean and 184 cm is 1 standard deviation greater than the mean. Using the general rules above, 68% of data falls between -1σ and +1σ. Therefore, the answer to this question would be B. 68%
if you complete it and it's correct I give you (brainlist)help
Answer:
1. 9
2. 122cm squared
3. 189m
4. 30
5. b
Step-by-step explanation:
1. 27,36,45,54,63,72,81,90,99
2. 12x6=72 10x5=50 50+72=122
3. 21x9=189
4. 5x12=60 60/2=30
5 b because 150 divided by 4 doesn't give you a whole number.
The table below lists the 2010 population data for the world’s 10 most populous countries.
Answer:
Hi,
You haven't included the data chart or what you need to solve.
Then only I will be able to help you!
Step-by-step explanation:
A fair 6-sided die is rolled 300 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?
A. 150
B. 50
C. 175
D. 100
Answer:
A. 150
Step-by-step explanation:
Calculate the probability of landing on an odd number: 1/2.
Multiply the probability by the number of trials: (1/2) * 300.
Simplify the expression: 150.
Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.
A triangle has sides with lengths of 5 feet, 9 feet, and 11 feet. Is it a right triangle?
Answer:
No
Step-by-step explanation:
\(5^{2} = 25\\9^{2} = 81\\11^{2} = 121\\25 + 81 = 106\)
therefore it doesn't coenide with pythagorian theorem
solve the following Quadratic equation by FACTORING
(m+2)²=16
please search in Go-ogle and give the answer please... and don't forget the solution )=><=(
Answer:
m= 2, -6
Step-by-step explanation:
(m+2)²=16
(m+2)= ∓ 4
For +4,
m+2=4
m=2
For -4,
m+2=-4
m=-6
Answer:
m = - 6, m = 2
Step-by-step explanation:
To solve by FACTORING we require to expand the factor and rearrange
(m + 2)² = 16 ← expand left side using FOIL
m² + 4m + 4 = 16 ( subtract 16 from both sides )
m² + 4m - 12 = 0 ← in standard form
(m + 6)(m - 2) = 0 ← in factored form
Equate each factor to zero and solve for m
m + 6 = 0 ⇒ m = - 6
m - 2 = 0 ⇒ m = 2
5-22triangle xyz has vertices x(–1, –1), y(–2, 1), and z(1, 2). what is the approximate measure of angle z? 37.9° 60.3° 78.5° 81.9°
The approximate measure of angle z in triangle XYZ is 78.5°.
To determine the measure of angle z, we can use the properties of triangles. One way to find this angle is by using the slope formula to calculate the slopes of the lines formed by the given points. Then, we can use the inverse tangent function to find the angle.
First, let's calculate the slopes of the lines XY and YZ using the formula:
m = (y2 - y1) / (x2 - x1)
For line XY:
mXY = (1 - (-1)) / (-2 - (-1)) = 2 / (-1) = -2
For line YZ:
mYZ = (2 - 1) / (1 - (-2)) = 1 / 3
Next, we can calculate the angle using the inverse tangent function:
angle z = arctan(mYZ - mXY) = arctan(1/3 - (-2)) = arctan(1/3 + 2) = arctan(7/3)
Using a calculator, we find that arctan(7/3) is approximately 78.5°.
Therefore, the approximate measure of angle z in triangle XYZ is 78.5°.
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Sophia has 38 Xbox and PlayStation video games. The number of Xbox games is 10 less than 5 times
the number of PlayStation games How many of each type of game does she have?
Answer:
X box: 30 units
PlayStation: 8 units
Step-by-step explanation:
x + p = 38
x = 5p - 10
x = number of X-Box
p = number of Play Station
then:
(5p-10) + p = 38
5p + p = 38 + 10
6p = 48
p = 48/6
p = 8
x = 5p - 10
x = 5*8 - 10
x = 40 - 10
x = 30
Check:
30 + 8 = 38
A light bulb consumes 2400 watt-hours per day. How many watt-hours does it consume in 3 days and 18 hours?
Suppose line segment XY has one endpoint at X(0,0). If (3,4) is the midpoint of XY, what are the coordinates of point Y?
5x squared + 5x= 745
Answer:
Look in png I attached
Step-by-step explanation:
1. Simplify the quadratic equation into its standard form
2. Solve the equation using the quadratic formula
3. Determine the quadratic equation’s coefficients a, b and c
4. Plug these coefficients into the quadratic formula
5. Simplify square root of 14925
6. Solve the equation for x
- Centar :)
Please help do it now
Answer:
option 3
Step-by-step explanation:
Δ AEB and Δ ADC are similar, so ratios of corresponding sides are equal, that is
\(\frac{AB}{AC}\) = \(\frac{AE}{AD}\) , substitute values
\(\frac{9.2}{AC}\) = \(\frac{9}{14}\) ( cross- multiply )
9AC = 128.8 ( divide both sides by 9 )
AC ≈ 14.3 (to the nearest tenth )
Answer:
ikaw na gumawa kaya mona yan
Solve 4-6 and then solve 8-12
Answer:
4-6= 2 and 8-12= 4
Step-by-step explanation:
hope this helps