The variance
The variance is a measure of variability.
It is calculated by taking the average of squared deviations from the mean.
Variance tells you the degree of spread in your data set.
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The degree of f(x) is ___
and the leading coefficient is ____
There are ___ distinct real zeros and ___ relative minimum values.
Answer: The degree of f(x) is odd and the leading coefficient positive There are 4 distinct real zeros and 2 relative minimum values.
Step-by-step explanation:
Multiply and express in the form of a complex number a + b i.
(-5 + 3i)(- 4 + 8i)
Answer:
-4 - 52 i
Step-by-step explanation:
Hope this helps :)
convert 1264 base 8 to base 10
1264₈ = 1•8³ + 2•8² + 6•8¹ + 4•8⁰
1264₈ = (2³)³ + 2•(2³)² + 3•2•2³ + 2²
1264₈ = 2⁹ + 2⁷ + 3•2⁴ + 2²
1264₈ = 512 + 128 + 3•16 + 4
1264₈ = 692
After converting the base, 1264 base 8 is equal to 692 base 10.
To convert a number from base 8 (octal) to base 10 (decimal), we need to evaluate the value of each digit in the base 8 number and then calculate the equivalent decimal value.
Given the number 1264 in base 8, we can break it down into its digits:
1 * 8³ + 2 * 8² + 6 * 8 + 4 * 1
Simplifying this expression:
1 * 512 + 2 * 64 + 6 * 8 + 4 * 1
Evaluating the multiplication:
512 + 128 + 48 + 4
Adding the products together:
692
In summary, to convert a number from base 8 to base 10, we evaluate the value of each digit by multiplying it with the corresponding power of 8, and then sum up the results. This gives us the equivalent decimal value of the number.
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Two angles (angle C and angle D) are
supplementary. The measure of angle C is
5x – 6 and the measure of angle D is 7x +
14. Find the measure in degrees of each
angle
Answer:
C= 65.5°
D= 114.1°
Step-by-step explanation:
5x - 6 + 7x +14 = 180
5x + 7x + 14 - 6 = 180
12x + 8 = 180
- 8 - 8
12x = 180
12x/12 = 180/12
x = 14.3
C= 5x - 6
5(14.3)-6
71.5 - 6
C=65.5°
D= 7x + 14
7(14.3) + 14
100.1 + 14
D= 114.1°
65.5 + 114.1 = 179.6°
When this is rounded up, you will get 180°
Hope this helps!
Find the equation of the line. Use exact numbers.
y = ?x + ?
Answer:
\(y=-2x+5\)
Step-by-step explanation:
Slope (m): \(\frac{y_2-y_1}{x_2-x_1}\)
I will be using (1,3) and (-1,7) to find the slope:
\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m =\frac{7-3}{-1-1}\\\\m=\frac{4}{-2}\\\\m=-2\)
\(y=mx+b\)
\(y=-2x+b\)
(1,3)
\(y=-2x+b\\3=-2(1)+b\\3=-2+b\\+2 +2\\5=b\)
\(y=-2x+5\)
Hope this helps!
Answer:
y = -2.4x + 5
Step-by-step explanation:
Note that the y-intercept is (0, 5).
Thus, the framework y = ?x + ? becomes y = ax + 5.
The x-intercept is (2.5, 0), as seen in the graph. b = 0. Then, y = ax + 5 becomes
0 = a(2.5) + 5, which in turn becomes 2.5a = -5.
Solving for the coefficient a, we get a = -5/2.5, or a = -2, and the equation of the line is thus
y = -2x + 5
In the equation y = 1/3x - 1, when x is 9, what is y? *
Answer:
y is 2
Step-by-step explanation:
plug in 9 for x and you get y is 2
Answer:
2
Step-by-step explanation:
Substitute 9 for x and calculate the y value:
y = (1/3)(9) -1 = 2
.In order to increase the value of the F statistic, which of the following must occur?
a. MSwithin > MSbetween
b. MSwithin = MSbetween
c. MSwithin < MSbetween
d. Ratio = 1
If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
How the F statistic is calculated?The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.
So, the answer is:
a. MSwithin > MSbetween
If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
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is 0.4444 a rational number? Why?
Answer:
yes
Step-by-step explanation:
A real number is said to be rational if it's the quotient (or the ratio, and thus the name rational) of two whole numbers. For example, 0.2 is rational because 0.2=1/5; 0.4444... is rational because 0.4444... =4/9; and so on.
please help i’ll give brainliest!!! thanks
Answer:
Tang instituted government - funded social programs , which were designed to help the poor .
hope it is helpful to you.
Estimate the line of best fit using two points on the line.
A. y= -3/2x + 12
B. y= 3/2x + 12
C. y= -2/3 + 12
D. y= 2/3 + 12
Answer:
?
Step-by-step explanation:
Answer: c
Step-by-step explanation:
A p e x
Consider the one-dimensional wave equation utt = a^2uxx, where u denotes the position of a vibrating string at the point at time t> 0. Assuming that the string lies between x = 0 and x = L, we pose the boundary conditions u(0, t)=0, ux (L, t) — 0,
that is the string is "fixed" at a = 0 and "free" al r L. We also assume that the string is set in motion with no initial velocity from the initial position, that is we pose the initial conditions u(x,0) = f(x), ut(x,0) = 0. Find u(x, t) that satisfies this initial-boundary value problem. [30 marks]
The solution u(x,t) is given by the following;u(x,t) = ∑ [Bnsin(nπx/L)sin(nπat/L)] ……(iv)n=1where Bn = (2/L)∫ f(x)sin(nπx/L)dx . Given the one-dimensional wave equation as follows; utt = a^2uxx …..(i)Here u refers to the position of a vibrating string at the point of time t>0.
Here, the given one-dimensional wave equation can be solved using the method of separation of variables. We assume the solution u(x,t) to be in the form of the product of two functions as follows;u(x, t) = X(x)T(t)Let's substitute this u(x, t) in the given wave equation, we get the following equation;X(x)T”(t) = a^2X”(x)T(t)On rearranging the terms and dividing by a^2XT, we get the following;1/a^2 * T”(t)/T(t) = X”(x)/X(x) = −λ^2 …..(ii)Here λ is a constant value. Let’s solve for the time equation first. The time equation is given by the following;T”(t)/T(t) = −a^2λ^2Putting the value of the constant as -a^2λ^2, we get the following differential equation;T”(t) + a^2λ^2T(t) = 0
On solving this differential equation, we get the value of T(t) as follows;T(t) = Acos(aλt) + Bsin(aλt)Now let’s solve for the spatial equation. The spatial equation is given as follows;X”(x)/X(x) = −λ^2Let’s substitute X(x) in the above equation, we get the following differential equation;X”(x) + λ^2X(x) = 0On solving the differential equation, we get the following;
X(x) = Ccos(λx) + Dsin(λx)
The general solution to the wave equation is given by the following;u(x,t) = X(x)T(t)u(x,t) = (Ccos(λx) + Dsin(λx))(Acos(aλt) + Bsin(aλt)) …..(iii)Now let's apply the initial conditions and the boundary conditions to get the values of constants. We have the following initial conditions and boundary conditions;u(x,0) = f(x), ut(x,0) = 0u(0,t) = 0, u(L,t) = 0Putting the value of t=0, we get the following;u(x,0) = f(x) = Ccos(λx) + Dsin(λx)Now taking the derivative of u(x,t) with respect to t, we get the following;ut(x,t) = −aλ(Ccos(λx) + Dsin(λx))sin(aλt) + aλ(Dcos(λx) − Csin(λx))cos(aλt)We have the value of ut(x,0) = 0 from the initial conditions. Therefore, we have the following values;ut(x,0) = 0
= −aλ(Ccos(λx) + Dsin(λx)) + aλ(Dcos(λx) − Csin(λx))u(0,t) = 0
= Ccos(λ*0) + Dsin(λ*0) = C
Therefore, we have the value of C = 0 from the boundary conditions. Hence, the solution u(x,t) is given by the following;u(x,t) = ∑ [Bnsin(nπx/L)sin(nπat/L)] ……(iv)n=1where Bn = (2/L)∫ f(x)sin(nπx/L)dx
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Need help with this question?
When x = 4, the function f(x) evaluates to f(4) = 2.
To find f(4), we need to determine which part of the function applies to the given value of x.
The function f(x) is defined as follows:
f(x) = -x - 5 for -4 < x < 1
f(x) = 3x - 10 for 1 < x < 4
Since 4 falls within the range where 1 < x < 4, we will use the second part of the function to find f(4).
Plugging x = 4 into the second part of the function, we have:
f(4) = 3(4) - 10
= 12 - 10
= 2
Therefore, when x = 4, the function f(x) evaluates to f(4) = 2.
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a school district claims that the normal attendance rate for their schools is 95%. an educational advocate believes that the true figure is lower. she chooses a school day in october and chooses 120 random students from the district. on that day, 87.5% of the students attended school. can she conduct a hypothesis test to determine whether the proportion of students who attend school is lower than 0.95?
The chances of conducting a hypothesis are positive, under the condition that the proportion of students who attend school is lower than 0.95.
the null hypothesis of the portion of students who attend school is lower than 0.95.
therefore, the test statistics for a population portion are calculated using the formula
\(TS =(P' - P)\sqrt{(P(1-P)/n)}\)
here,
P' = sample population
P = hypothesized population
n = sample size
staging the values according to the given question,
P' = 0.875
P = 0.95
n = 120
then,
\(TS = (0.875 - 0.95) \sqrt{(0.95 * (1 - 0.95) / 120)} = -2.53\)
using the principles of the standard normal distribution table we conclude that there is a 0.56% chance of observing a sample portion as an extreme 0.875 or less. So the population of students who attend the school is less than 0.95.
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tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. if this continues, what will tacoma's population be in 2016?
Answer:
it will grow by 1.44 people
Step-by-step explanation:
Help, please! An explanation would be great, I'm so confused on this question-
Answer:
a=250 and b=10
Step-by-step explanation:
a=5*100/2=250
b=200*5/100=10
Answer:
a = 250
b = 10
Step-by-step explanation:
1) a = \(\frac{5x^2}{2}\)
Putting x = 10
a = 5(10)²/2
a = 5(100)/2
a = 250
2) b = \(\frac{2x^2(x-5)}{10x}\)
Putting x = 10
b = 2(10)²(10-5) / 10(10)
b = 2(100)(5) / 100
b = 1000 / 100
b = 10
help with this answer
3x+2
5
= 7
Answer:
X= -6
Step-by-step explanation:
subtract 25 from both sides then you simplify the expression when you do that you divide both sides from the same factor which is 3 then you get you're solution x=-6
What percent of students in grade 8 prefer to joun a dance club?
The percent of students in grade 8 those who like to join dance club is equal to 25%.
Total number of students in grade 8 = 20
Total number of students of grade 8 join in dance club = 5
Percent of students of grade 8 prefer to join dance club
= ( total number of students prefer dance club ) / ( Total number of students in grade 8 ) × 100
Substitute the value in the formula we get,
⇒ Percent of students of grade 8 prefer to join dance club
= ( 5 ) / ( 20 ) × 100
⇒ Percent of students of grade 8 prefer to join dance club = 0.25 × 100
⇒ Percent of students of grade 8 prefer to join dance club = 25%
Therefore, percent of grade 8 students who preferred to join dance club is equal to 25%.
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The above question is incomplete, the complete question is:
What percent of students in grade 8 prefer to join a dance club?
Dance club Hiking club Total
Grade 7 15 15 30
Grade 8 5 15 20
Total 20 30 50
This is Evaluating Functions.Replace the X values with the number in the question ("Find f( )" )
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Use the conditional statement "If it is January, then there is snow." for questions 17 - 18.
17. Identify the hypothesis:
18. Identify the conclusion:
Answer:
Hypothesis: It is January
Conclusion: There is snow
Step-by-step explanation:
COnditionals are in the form If p, then q.
P is the hypothesis.
Q is the conditional.
If (It is January), then (there is snow).
If and then are not included in the hypothesis and conclusion, respectively.
Hypothesis: It is January
Conclusion: There is snow
What is Hypothesis and Conclusion ?
The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.
Conditionals are in the form if P, then Q.
P is the hypothesis.
Q is the conclusion.
If It is January, then there is snow.
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The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
11. Find the value of x. (3 points)
Answer:
x= -20
Step-by-step explanation:
I think this is the answer, but not totally sure. If it is right, I hope it helped!
Lisa needs 18 yards of red, gold, and green fabric to make a quilt. She bought 6 3 4 6 3 4 yards of red fabric and 4 1 3 4 1 3 yards of gold fabric. What is the most accurateestimate for the amount of green fabric Lisa bought?
Complete Question
Lisa needs 18 yards of red, gold, and green fabric to make a quilt.
She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?
Answer:
6 11/12 yards
Step-by-step explanation:
The total yards of fabric = Red + Blue + Green
18 = 6 3/4 + 4 1/3 + Green
Green = 18 - (6 3/4 + 4 1/3) yards
Lowest Common Denominator = 12
18 - (10 + ( 3/4 + 1/3) yards
18 - (10 + ( 9 + 4/12) yards
18 - ( 10 + 13/12) yards
18 - ( 10 + 1 1/12) yards
18 - 11 1/12 yards
= 6 11/12 yards
Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards
graph the function given below by moving the vertical asymptote, then the value of the x-intercept. finally, select the correct end behavior. the x-intercept (2,0) is already provided for you.
f(x)= (x-2)(x - 5)/ (x-3)^2
To graph the function f(x) = (x - 2)(x - 5) / (x - 3)^2, we can start by plotting the given x-intercept at (2, 0). Next, we can analyze the behavior of the function as x approaches certain values to determine the vertical asymptote and end behavior. By moving the vertical asymptote and considering the x-intercept, we can draw the graph of the function.
Given that the x-intercept is at (2, 0), we plot this point on the graph.
To determine the vertical asymptote, we look for values of x that make the denominator of the function equal to zero. In this case, when x = 3, the denominator (x - 3)^2 becomes zero, indicating a vertical asymptote at x = 3. We draw a vertical dashed line at x = 3 to represent the asymptote.
Next, we can consider the end behavior of the function. As x approaches negative infinity, the function approaches positive infinity. As x approaches positive infinity, the function approaches negative infinity. We can represent this behavior by drawing arrows indicating the direction of the graph as it extends towards negative and positive infinity.
By incorporating the vertical asymptote, the x-intercept, and the end behavior, we can sketch the graph of the function f(x) = (x - 2)(x - 5) / (x - 3)^2. The graph should approach the asymptote near x = 3, pass through the x-intercept at (2, 0), and exhibit the determined end behavior.
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The LSRL after an exponential transformation is log ŷ = 0.986 + 3.149x. What is the exponential form of the regression?
ŷ = 1409.29 • 9.68278x
ŷ = 0.986 • 9.68278x
ŷ = 9.68278 •1409.29x
ŷ = 0.986 • 3.149x
ŷ = 9.68278 • 3.149x
The exponential form of the regression, after an exponential transformation, is:ŷ = 9.68278 *\(e^(0.986 * x)\)None of the options provided match the correct exponential form.
In this case, the LSRL (Least Squares Regression Line) equation in logarithmic form is given as:
log ŷ = 0.986 + 3.149x
To convert this equation to exponential form, we need to take the exponential (base e) of both sides:
\(e^(log y) =\)\(e^(0.986 + 3.149x)\)
\(y= e^0.986 * e^(3.149x)\)
Simplifying further, we can write it as:
ŷ = 9.68278 * e^(3.149x)\(y = 9.68278 * e^(3.149x)\)
Therefore, the correct exponential form of the regression equation is ŷ = 9.68278 * \(e^(3.149x).\)
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Annalisa is ordering a sandwich. What are the possible independent variables involved in the cost of a sandwich?
Answer:
Step-by-step explanation:
Independent variables may be referred to as one or more single or standalone variables which affects the outcome or output variable, which is the dependent or response variable. To determine the cost of sandwich (this will be the response variable), this will be affected or dictated by the independent variables, which includes ; the size of sandwich, the type of bread roll used (hard roll, soft bun, hero, slice bread). Also, the tyoe of sandwich filling which may be (cheese, Ham salad, Ham and cheese, Egg mayonnaise and so on). Therefore, these variables are independent and the combination of each of these predictor variables will dictate the dependent variable, Cost.
Can someone help me with this please?
since you said please: 127*
Write the linear system of equations
as a
single matrix equation.
x - 2y - 5z = -1
y + 2x + 2z = 7
Z + y + 4x = -1
Answer: here ya go
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please help please help
Answer:
C.) =
Step-by-step explanation:
the absolute value of 5 is 5, and the absolute value of -5 is 5, so they will be equal
Answer:
=
Step-by-step explanation:
The absolute value of a number is how far the number is from zero on a number line.
Both 5 and -5 are 5 units from zero on a number line, so
|5| = |-5| since |5| = 5 and |-5| = 5.
Which is a linear equation with a slope of 1/2 and a y-intercept of -5?
A.y= –5x + 1/2
B.y=1/2x – 5
C.y=1/2x + 5
D.y= –1/2x − 5
Answer:
B. y=1/2x-5
m=1/2
b=-5
Josue decides to estimate the volume of an apple by modeling it as a sphere. He
measures its radius as 7.9 cm. Find the apples's volume in cubic centimeters. Round
your answer to the nearest tenth if necessary.
In a case whereby Josue decides to estimate the volume of an apple by modeling it as a sphere the apples's volume in cubic centimeters is \(2064cm^{3}\)
What is the volume of a sphere?sphere, The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.
The volume of a sphere can be calculated using
\(V= \frac{4}{3} \pi r^{3}\)
radius= 7.9 cm
\(V= \frac{4}{3} *\pi *7.9^{3}\)
\(V=2064.2cm^{3}\)
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