Answer:
15.
a) 9
b) (x + 3)(x + 3) or (x + 3) ^ 2
16.
a) 121
b) (x + 11)(x + 11) or (x + 11) ^ 2
17.
a) 81
b) (x + 9)(x + 9) or (x + 9) ^ 2
What assumption do we need to make to find a valid 99% confidence interval for the mean number of all workplace homicides per year
We have to assume that the sample mean is given , distribution is normal and sample size is also given.
Given confidence level 99%.
We have to answer the assumptions that are needed to make a valid 99% confidence interval.
Confidence interval can be made by formula of margin of error.
Margin of error is the difference between actual values and the calculated values.
Upper level of confidence interval=Mean+ margin of error
Lower level of confidence interval= Mean - margin of error.
Margin of error=z*σ/\(\sqrt{n}\)
where z is the corresponding z value for the confidence level given ,
σ is population mean and n is sample size.
Hence to calculate the confidence interval we need population mean, sample size.
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HELP DUE IN 10 MINS!
Reason 1=??
Reason 2=??
Reason 3=??
Reason 4=??
The Options for the 4 reasons are: Vertical Angles Theorem, AA Postulate, Alternate Interior Angles Theorem, Given, SAS Postulate, Reflexive Property of Congruence, Substitution Property, SSS Postulate.
Answer:
givenAlternate Interior Angles Theorem,: Vertical Angles TheoremAA Postulate,what is 5 to the power of 6 over 5 to the power of 2
Answer:
625
Step-by-step explanation: 5^6/5^2
multiply 5^6 and than devide your answer with 5^2
Answer:
625
Step-by-step explanation:
5^6=15625
5^2=25
15625/25=625
20 pointsss :)
Brian draws a triangle with interior angles of
32° and 87°, and one exterior angle of 93°. Draw
the triangle. Label all of the interior angles and
the exterior angle.
180-93=87..... Exterior angles of a triangle
3.1557600 x 10
seconds
Answer:
31.5576
Step-by-step explanation:
In FGH, h=840 inches. F=93° and G=49°. Find the length of g, to the nearest 10th of an inch.
The length of g 1029.8 in the given ΔFGH.
What is Trigonometric Functions?
Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
The Law of Sines (or Sine Rule) is very useful for solving triangles:
\(\frac{a}{sinA} = \frac{b}{sinB} + \frac{c}{sinC}\)
840 / sin(38) = g /sin(49)
g = (840 / sin(38) ) *sin(49)
g= (840/0.615) *0.754 = 1029.8
Hence, the length of g 1029.8 in the given ΔFGH.
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Which of the following values are solutions to the inequality−3<2x−3?
The solution to the inequality -3 < 2x - 3 is given as follows:
x > 0.
How to solve the inequality?The inequality for this problem is defined as follows:
-3 < 2x - 3.
It can be rewritten as follows:
2x - 3 > -3.
We isolate the variable x, similarly to an equality, as follows:
2x > 0
x > 0/2
x > 0.
Hence all the options that have positive numbers are solutions to the inequality−3<2x−3.
Missing InformationThe problem is incomplete, hence the answer was given on general terms.
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Point K is located at
−
12
−12. Points L and M are each
6
6 units away from Point K. Where are L and M located?
Points M and N will be located on the number line as:
M is at -15
N is at 3.
Here, we have,
to Find the Coordinate of a Point on a Number Line:
The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.
The distance between two points on a number line is the number of units between both points.
Given that point L is at -6 on a number line, thus:
Point M is 9 units away from point L = -6 - 9 = -15
Point N is 9 units away from point L = -6 + 9 = 3
Therefore, points M and N will be located on the number line as:
M is at -15
N is at 3.
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find the value of expression when y=4 6y-78
PLUG IN THE VALUE 4 IN THE PLACE OF Y AND SIMPLIFY
\( = 6(4) - 78 \\ = 24 - 78 \\ = - 54\)
HOPE THIS HELPS
Find the centroid of the region in the first quadrant bounded by the given curves. y = x4, x = y4
The given bounded region is the set
\(R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}\)
assuming the curves are \(y=x^4\) and \(x=y^4\implies y=x^{1/4}\) (since \(x>0\) in the first quadrant).
The coordinates of the centroid are \((\bar x, \bar y)\) where \(\bar x\) and \(\bar y\) are the average values of \(x\) and \(y\), respectively, over the region \(R\). These are given by the ratios
\(\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}\)
Compute the area of \(R\).
\(\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35\)
Integrate \(x\) and \(y\) over \(R\).
\(\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}\)
\(\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}\)
Then the centroid's coordinates are
\(\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463\)
\(\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}\)
find the area of the region that lies inside the first curve and outside the second curve. r = 3 cos(), r = 4 − cos()
The area of the region that lies inside the first curve and outside the second curve is 13π/4.
To find the area of the region that lies inside the first curve and outside the second curve, we need to find the points of intersection of these two curves.
Setting the two equations equal to each other, we have:
3 cos(θ) = 4 − cos(θ)
Simplifying, we get:
4 cos(θ) = 4
cos(θ) = 1
θ = 0
So the two curves intersect at θ = 0.
To find the area of the region between the curves, we integrate the difference of the two equations with respect to θ over the interval [0, π]:
A = ∫[0,π] (4 - cos(θ))^2/2 - (3cos(θ))^2/2 dθ
Simplifying, we get:
A = ∫[0,π] 8 - 7cos(θ) + cos^2(θ) dθ
Using trigonometric identities, we can simplify this to:
A = ∫[0,π] 13/2 - 7/2 cos(2θ) dθ
Evaluating the integral, we get:
A = [13/2θ - 7/4 sin(2θ)] [0,π]
A = 13π/4 - 0
A = 13π/4
Therefore, the area of the region that lies inside the first curve and outside the second curve is 13π/4.
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Carter played a video game his scores were 113, 117, 101, 97, 104 and 110
The last score of Carter will cause the display to be skewed to the right. Option D.
Skewness of dataA distribution is considered skewed when the data is not evenly spread out around the average or median.
In this case, Carter's scores were 113, 117, 101, 97, 104, and 110. These scores are relatively close to each other, forming a distribution that is somewhat centered around a typical range.
However, when Carter played the game again and achieved a score of 198, this score is significantly higher than the previous scores. As a result, the overall distribution of scores will be affected.
Since the last score is much higher than the previous scores, it will cause the data to skew toward the right side of the distribution. The previous scores will be closer together on the left side of the distribution, and the high score of 198 will pull the distribution towards the right, causing it to skew in that direction.
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Question 4 of 10 What is the equation of the following line? Be sure to scroll down first to see all answer options. (6,2) O A y= 22 B. y=-3x O c. y=6x O D. y = 1 x O E y=3x O F. y = 1 x
The equation of the line will be y = 1/3x. The correct option is F.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
The slope of the line is calculated as,
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)
The two points are (6,2) and (0,0). Calculate the slope of the line,
\(m = \dfrac{0 - 2}{0-6}\)
m = 1 / 3
The equation of the line can be written as,
y = mx +c
y = 1/3x + 0
y = 1/3x
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What is the largest output achieved by the function? At what x-value is it hit (also will mark Brainlest!!!)
Answer:
f(1) = 4
Step-by-step explanation:
Largest output is 4, when x=1.
Answer:
f1 = 4
Step-by-step explanation:
Assume that all taxes in the economy are autonomous totalling 70 million, autonomous consumption is 75 million, and the marginal propensity to save is 0.5.
What is the level of consumption when the level of income is 850?
The level of consumption when the level of income is 850 million is 500 million. We need to use the formula for consumption function, which is C = A + bY, where C is consumption, A is autonomous consumption, b is the marginal propensity to consume, and Y is income.
In this case, we are given that autonomous consumption is 75 million and the marginal propensity to save is 0.5. Since the marginal propensity to consume (MPC) and the marginal propensity to save (MPS) add up to one, we can calculate the marginal propensity to consume as follows:
MPC = 1 - MPS
MPC = 1 - 0.5
MPC = 0.5
Therefore, the consumption function can be written as: C = 75 + 0.5Y
To find the level of consumption when the level of income is 850, we can substitute Y = 850 into the consumption function:
C = 75 + 0.5(850)
C = 75 + 425
C = 500
So the level of consumption when the level of income is 850 is 500 million. In summary, the answer to the question is that the level of consumption when the level of income is 850 is 500 million.
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Answer asap! WiIl give brainliest!!!
Worth 11 points!
Step-by-step explanation:
So 300% is the same as the fraction 300/100. Cancel the zeros and you find 3/1, which is just 3.
Mrs. cunningham's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. today, she wants to make a huge batch with 1 cup of oil. how much peanut butter should she use? simplify your answer and write it as a proper fraction, mixed number, or whole number.
The amount of peanut butter needed using a proportion: Mrs. Cunningham should use 2 cups of peanut butter for her huge batch of cookies.
According to Mrs. Cunningham's recipe, she uses 1 cup of peanut butter for every 1/2 cup of oil (12 of a cup is equivalent to 1/2 cup).
Since today she wants to use 1 cup of oil, we can calculate the amount of peanut butter needed using a proportion:
Peanut butter / Oil = 1 cup / 1/2 cup
To find the value of Peanut butter, we can cross-multiply:
Peanut butter = (1 cup / 1/2 cup) * 1 cup
Peanut butter = 1 cup * (2/1)
Peanut butter = 2 cups
Therefore, Mrs. Cunningham should use 2 cups of peanut butter for her huge batch of cookies.
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120p-1340=480-3(95-20p)
Step-by-step explanation:
120p-1340=480-285+60p
120p-60p=195+1340
60p=1535
p=25.58
Florencia depositó algún dinero en una cuenta en la que ganaba interés.
La tabla a continuación nos muestra la cantidad en la cuenta en distintos momentos.
AYUDAAAA PORFA
Usando una función lineal, tenemos que:
Con cada año adicional, la cantidad en la cuenta es incrementada en 60.
¿Qué es una función lineal?Una función lineal es modelada por:
y = mx + b
En el cual:
m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:
Con cada año adicional, la cantidad en la cuenta es incrementada en 60.
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What is the inverse function of f(x) equals X over X -2
Answer:
(2x)/(x-1)
x = y/(y-2)
(y-2)x = y
yx - 2x =y
yx-y = 2x
y(x-1) = 2x
y= 2x/(x-1)
Mia plans to build a fence to divide her rectangular garden into two triangular areas. use the diagram to find the length of fence she will need to divide the garden. round up to the nearest hundredth. mia will need a fence that is meters long.
Answer:
Mia will need a fence that is 9.22 meters long.
Step-by-step explanation:
Answer:
If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.
Step-by-step explanation:
edg 2022
Suppose we have 4 email messages. We have also classified 3 messages as normal and 1 as spam. Use Naïve Bayes multinomial to answer the question that follows. Use alpha=1 to avoid zero probabilities.
Message Content Classification
1 Chinese Beijing Chinese Normal
2 Chinese Chinese Shanghai Normal
3 Chinese Macao Normal
4 Tokyo Japan Chinese Spam
Round your answer to the nearest ten thousand
P(Tokyo | Spam)
Using Naïve Bayes multinomial with alpha=1, we classify the given messages based on their content. Message 4, "Tokyo Japan Chinese," is classified as spam.
To classify the messages using Naïve Bayes multinomial, we consider the content of the messages and their corresponding classifications. We calculate the probabilities of each message belonging to the "Normal" or "Spam" classes.
3 messages are classified as "Normal."
1 message is classified as "Spam."
We calculate the probabilities as follows:
P(Class = Normal) = 3/4 = 0.75
P(Class = Spam) = 1/4 = 0.25
Next, we analyze the occurrence of words in each class:
For the "Normal" class:
The word "Chinese" appears 5 times.
The word "Beijing" appears 1 time.
The word "Shanghai" appears 1 time.
The word "Macao" appears 1 time.
For the "Spam" class:
The word "Tokyo" appears 1 time.
The word "Japan" appears 1 time.
The word "Chinese" appears 1 time.
Now, we calculate the probabilities of each word given the class using Laplace smoothing (alpha=1):
P(Chinese|Normal) = (5 + 1)/(5 + 4) = 6/9
P(Beijing|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Shanghai|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Macao|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Tokyo|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Japan|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Chinese|Spam) = (1 + 1)/(3 + 4) = 2/7
To classify Message 4, "Tokyo Japan Chinese," we compute the probabilities for each class:
P(Normal|Message 4) = P(Chinese|Normal) * P(Tokyo|Normal) * P(Japan|Normal) * P(Class = Normal)
≈ (6/9) * (0/9) * (0/9) * 0.75
= 0
P(Spam|Message 4) = P(Chinese|Spam) * P(Tokyo|Spam) * P(Japan|Spam) * P(Class = Spam)
≈ (2/7) * (2/7) * (2/7) * 0.25
≈ 0.017
Since P(Spam|Message 4) > P(Normal|Message 4), we classify Message 4 as spam.
In summary, using Naïve Bayes multinomial with alpha=1, we classify Message 4, "Tokyo Japan Chinese," as spam based on its content.
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Using Naïve Bayes multinomial with alpha=1, we classify the given messages based on their content. Message 4, "Tokyo Japan Chinese," is classified as spam.
To classify the messages using Naïve Bayes multinomial, we consider the content of the messages and their corresponding classifications. We calculate the probabilities of each message belonging to the "Normal" or "Spam" classes.
3 messages are classified as "Normal."
1 message is classified as "Spam."
We calculate the probabilities as follows:
P(Class = Normal) = 3/4 = 0.75
P(Class = Spam) = 1/4 = 0.25
Next, we analyze the occurrence of words in each class:
For the "Normal" class:
The word "Chinese" appears 5 times.
The word "Beijing" appears 1 time.
The word "Shanghai" appears 1 time.
The word "Macao" appears 1 time.
For the "Spam" class:
The word "Tokyo" appears 1 time.
The word "Japan" appears 1 time.
The word "Chinese" appears 1 time.
Now, we calculate the probabilities of each word given the class using Laplace smoothing (alpha=1):
P(Chinese|Normal) = (5 + 1)/(5 + 4) = 6/9
P(Beijing|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Shanghai|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Macao|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Tokyo|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Japan|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Chinese|Spam) = (1 + 1)/(3 + 4) = 2/7
To classify Message 4, "Tokyo Japan Chinese," we compute the probabilities for each class:
P(Normal|Message 4) = P(Chinese|Normal) * P(Tokyo|Normal) * P(Japan|Normal) * P(Class = Normal)
≈ (6/9) * (0/9) * (0/9) * 0.75
= 0
P(Spam|Message 4) = P(Chinese|Spam) * P(Tokyo|Spam) * P(Japan|Spam) * P(Class = Spam)
≈ (2/7) * (2/7) * (2/7) * 0.25
≈ 0.017
Since P(Spam|Message 4) > P(Normal|Message 4), we classify Message 4 as spam.
In summary, using Naïve Bayes multinomial with alpha=1, we classify Message 4, "Tokyo Japan Chinese," as spam based on its content.
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3+ (-5) explain please i need it asap so... hurry! pls
Answer:
-2
Step-by-step explanation:
3 + -5
Adding -5 is like subtracting 5
3 -5
-2
Answer:
-2
Step-by-step explanation:
You need to add a positive number and a negative number.
This is how you add a positive number and a negative number.
First, get rid of the signs and make them both positive.
Now you have 5 and 3.
Do a subtraction the way you first learned subtraction in elementary school, which is the larger number minus the smaller number.
5 - 3 = 2
The answer is either 2 or -2.
To finish the original addition, look at the two original numbers. 5 is greater than 3. 5, the greater value, is on a negative number, so the answer is negative.
3 + (-5) = -2
3. What is the last step to complete a perpendicular bisector construction?
A. Put the compass point on an endpoint and draw a large arc where the opening is geater than half the length of the segment.
B. Draw a similar arc from the other endpoint using the same opening.
C. Draw a line connecting the the intersection of the arcs below and above the segment.
D.Draw a ray from one endpoint.
Its B. Draw a similar arc from the other endpoint using the same opening.
The last step is to draw a line connecting the intersection of the arcs below and above the segment. Option C is correct.
Given that,
To determine the last step to complete a perpendicular bisector construction.
Geometry is the mathematical study of figures and shapes.
Here,
Steps to construct the perpendicular bisector.
Step 1: Draw a line segment.
Step 2: Take a compass, and with endpoints as the center and with more than half of the line segment as width, draw arcs above and below the line segment.
Step 3: Repeat the same step with another endpoint as the center.
Step 4: Draw a line connecting the intersection of the arcs below and above the segment.
Thus, the last step is to draw a line connecting the intersection of the arcs below and above the segment. Option C is correct.
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how long would it take Amal to run 3 miles at that pace
Hello!
Time taken to travel 1 mile =12 minutes
Amal can run 1/8 mile in 1 1/2 minutes
distance ran by amal= 1/8 miles.
Time taken= 1/12 = 1x2+1/2 = 3/2 minutes.
We need to find how many minutes did he take to run one mile,
he travels 1/8 of a mile in 3/2 minutes.
Time taken to travel 1 mile is given by
T=3/2 x 8/1 = 12 minutes.
Time taken to travel 1 mile = 12 minutes
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=-x-
12
-6x - 12y = 21
Answer:
neither......................
Answer:
None.
Step-by-step explanation:
To be parallel, slope must be equal
To be perpendicular, product of slope must be -1
For Slope of y=-x- 12
x+y=-12
Slope= - coefficient of x/coefficient of y = -1/1=-1
For Slope of -6x - 12y = 21
Slope= - coefficient of x/coefficient of y = -(-6)/-12=-1/2
They are neither same (-1,1/2) nor is their product -1(-1*-1/2=1/2)
Thus, they are neither parallel nor perpendicular.
The height of Mount Everest is times the height of a waterfall.
Answer:
true
The height of Mount Everest is times the height of a waterfall.
Evaluate the indefinite integral.
∫2x−3/(2x^2−6x+3)^2
dx
The indefinite integral of (2x-3)/(2x^2-6x+3)^2 dx is -(1/(2x^2-6x+3)) + C, where C is the constant of integration.
What is the antiderivative of the given expression?To evaluate the indefinite integral, we can use the substitution method or partial fractions. Let's proceed with the substitution method for this problem.
Step 1: Perform the substitution:
Let u = 2x^2-6x+3. Taking the derivative of u with respect to x, we have du = (4x-6) dx.
Step 2: Rewrite the integral:
We can rewrite the integral as ∫(2x-3)/(2x^2-6x+3)^2 dx = ∫(1/u^2) du.
Step 3: Evaluate the integral:
Now we can integrate ∫(1/u^2) du. Applying the power rule of integration, the result is -(1/u) + C, where C is the constant of integration. Substituting back u = 2x^2-6x+3, we get -(1/(2x^2-6x+3)) + C as the final answer.
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Given each set of vertices determine whether BEFG Is a rhombus, rectangle or square.
9514 1404 393
Answer:
9. rhombus
10. rhombus, rectangle, square
11. rhombus
Step-by-step explanation:
9, 11. Angles are obviously not 90°, so each figure is a rhombus.
__
10. Line slopes are 1 or -1, so are perpendicular. Side lengths are all the diagonal of 6 squares, so 6√2.
The figure is a rhombus, rectangle, and square.
1 1/4 x 3/4 as a fraction
Answer:
2 and 1/16th! ^^
Step-by-step explanation:
Answer:15/16
Step-by-step explanation:
1 1/4×3?4
= 5/4×3/4
= 5 × 3/4 × 4
= 15/16