The measure of center best represents the data set is Mean or Median.
Given
Data Set Best Measure of Center {27, 29, 26, 28, 25}.
What is the mean of the data set?The mean is the average of a set of data.
The mean is found by finding the sum of the data and then dividing the sum by the number of data.
The mean of the given data set is;
[tex]\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27[/tex]
Arranging the data set in the ascending order
{25, 26, 27, 28, 29}
The median is defined as the middle value of the given data set.
The median of the data set is 27.
Hence, the measure of center best represents the data set is Mean or Median.
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transfer transfer the system of equations by forming a matrix equation.
2x - 3y = 19
x + 2y = -1
he multiplies the left side of the coefficient matrix by the inverse matrix.
how does he proceed to the solution?
Answer:
Step-by-step explanation:
[tex]\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}\times \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}\times \begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7} \begin{bmatrix}2 & 3 \\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\ -1\end{bmatrix}[/tex]
Since, [tex]\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}[/tex]
And [tex]A^{-1}A=I[/tex]
[tex]\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\-1 \end{bmatrix}[/tex]
[tex]\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}35\\ -21\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}5\\ -3\end{bmatrix}[/tex]
Therefore, x = 5 and y = -3 will be the value of variables.
Which choice is the solution to the inequality below?
11x > 22
O A. x> 2
O B. x 22
O c. x> 2
O D. x > 231
Please help I didn’t study for this.
Answer:
A. x>2
Step-by-step explanation:
11x>22
x>22/11
x>2
Question 13
Which of the following is an equivalent equation obtained by completing the square of the expression below?
x^2 + 6x - 8 = 0
Answer:
B) (x + 3)^2 = 17
Step-by-step explanation:
To complete the square you need to put x + or - half of the x coefficient.
So here it would be (x + 3)^2. However, we're trying to find x^2 + 6x - 8 = 0, not x^2 + 6x + 9 = 0, which is what (x + 3)^2 expands to. So we need to -9 from x^2 + 6x + 9 = 0 and add -8 from the original equation.
This simplifies to (x + 3)^2 - 9 - 8 = 0 --> (x + 3)^2 - 17 = 0
Then all you need to do is rearrange to give: (x + 3)^2 = 17
ASAP
Select the correct answer.
Given any two events, E1 and E2, what does the probability P(E1 ∪ E2) represent?
A.
One of the events occurs, or both occur.
B.
Neither event occurs.
C.
One of the events occurs but not both.
D.
Both of the events occur.
Answer:
a is the answer
Step-by-step explanation:
The equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur which is correct option(A).
What are Mutually Exclusive events?Mutually Exclusive events is defined as in probability the particular addition rule is applicable when two occurrences are incompatible with one another. It claims that the probability of either event is equal to the probability of each event separately.
If E₁ and E₂ are said to be mutually exclusive events then the probability of an event E₁ occurring or the probability of event E₂ occurring is given as P(E₁) + P(E₂) :
P(E₁ ∪ E₂) = P(E₁) + P(E₂)
Hence, the equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur.
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6(-2) (-3) PLEASE HELP ASAP!!!!!!!!!!
Answer:
6×6
=36
Step-by-step explanation: Negative multiplied by negative is positive.
Answer:
36
Step-by-step explanation:
6 times -2 = -12
-12 times -3 = 36
I went to Wegmans wit
$12. How many TV dinners
can I get if each one costs
$1.50
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
12/1.50=8 TV dinners
What is the resistance in a circuit when the current is 0.5 ampere? Ohms
Answer:
24 Ohms
Step-by-step explanation:
Resistance is a function of amperes. For each amp, there is one and only one value for resistance.
It works the other way, too.
E=IR (well-known relationship). If IR=12, R=12/I
R=E* (1/I)
When the current is 0.5 amp, R=12/0.5 - 24 ohms
Solve the following quadratic function by factoring
f(x)=4x^(2)-9
Both solutions are valid, so the solutions to the quadratic function [tex]f(x) = 4x^2 - 9[/tex] are x = -3/2 and x = 3/2.
To solve the quadratic function [tex]f(x) = 4x^2 - 9[/tex] by factoring, we set the expression equal to zero and then try to factor it.
Step 1: Set f(x) equal to zero:
[tex]4x^2 - 9 = 0[/tex]
Step 2: Factor the quadratic expression:
The expression [tex]4x^2 - 9[/tex] is in the form of a difference of squares, which can be factored as follows:
[tex]a^2 - b^2 = (a + b)(a - b)[/tex]
In our case, a = 2x and b = 3:
[tex]4x^2 - 9 = (2x + 3)(2x - 3)[/tex]
Step 3: Set each factor equal to zero and solve for x:
First factor: 2x + 3 = 0
Subtract 3 from both sides:
2x = -3
Divide both sides by 2:
x = -3/2
Second factor: 2x - 3 = 0
Add 3 to both sides:
2x = 3
Divide both sides by 2:
x = 3/2
Step 4: Check the solutions:
Plug the values of x back into the original equation to verify:
For x = -3/2:
[tex]f(-3/2) = 4(-3/2)^2 - 9\\f(-3/2) = 4(9/4) - 9\\f(-3/2) = 9 - 9\\f(-3/2) = 0\\For x = 3/2:\\f(3/2) = 4(3/2)^2 - 9\\f(3/2) = 4(9/4) - 9\\f(3/2) = 9 - 9\\f(3/2) = 0[/tex]
Both solutions are valid, so the solutions to the quadratic function f(x) = [tex]4x^2 - 9[/tex] are x = -3/2 and x = 3/2.
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the endpoints of st are (2,22) and T(4,2). What are the coordinates of the midpoint st?
Answer: (3,12)
Step-by-step explanation:
1. Add both y-coordinates
2. Add both x- coordinates
3. Divide both by two
Answer should be (3,12)
amy bill and cara each played a game
amys score was 10 times bills score
caras score was half of amys score
write down the ratio of amys score to bills score to caras score
give your answer in simplest form
i need this now asap
Answer:
Step-by-step explanation:
either 150.7 or 40
Emma had 132 marbles.12 of them were blue and 14of them were red.the rest were white.how many white marbles did emma have?
Answer:
106 white marbles
Formula:
(Blue)+(Red)=(Answer)
(Total Marbles)-(Answer)=(White)
Work:
12 + 14 = 26
132 - 26 = 106
What is the answer to this?
To find the y-intercept substitute x as 0
[tex]y = 1 \times {0}^{2} + 7 \times 0 - 5[/tex]
[tex]y = 1 \times 0 + 0 - 5[/tex]
[tex]y = 0 + 0 - 5[/tex]
[tex]y = - 5[/tex]
Thus, The y-intercept is -5...~We know that:
The y-intercept of an equation is the constant. Constants are the numerals in the equation.Finding the y-intercept.
In the equation provided, we can see only one constant.
=> y = 1x² + 7x - 5Thus, the y-intercept is -5.
Need help asap whoever helps big thank you!
Answer:8.9
Step-by-step explanation: y=2.2 +3.5 =6.7 +0.18
y= 8.9
good luck
What is the value of the expression 6z2+2z+10 when z=3?
Hi there! Hope this helps, and if it does, please mark brainliest!
Answer:
346
Step-by-step explanation:
6z2+2z+10
(6 x 3)^2 + 2 x 3 + 10
18^2 + 12 + 10
324 + 22
346
Write a linear equation in slope-intercept form that passes through the points (-11, -5) and (1, -2).
Write any fractions in the following form: (ex: 2/3).
Answer:
y=1/4·x+-2 1/4
Step-by-step explanation:
The speed of an object can be found by dividing the distance traveled by the time it took. It takes Jamal $36$ seconds to skate once around a $500\text{ }\text{m}$ rink. If it takes Tory $40$ seconds to skate the same distance, what is the difference in their speeds?
Answer:
Difference = 13.9 m/s
Step-by-step explanation:
Speed of an object = distance traveled/time taken
Jamal takes 36 seconds to skate 500 m rink. Let his speed is v. So,
[tex]v=\dfrac{500\ m}{36\ s}\\\\=13.89\ m/s[/tex]
Tory takes 40 seconds to skate 500 m rink. Let his speed is v'. So,
[tex]v'=\dfrac{500\ m}{40\ s}\\\\=12.5\ m/s[/tex]
The difference in their speeds,
D = 13.89 - 12.5
= 1.39 m/s
Hence, the difference in their speeds is 13.9 m/s.
what is the number twelve thousand , six hundred and seventy one in figures
Hi! I hope you're enjoying your day!
First, twelve thousand is written like this:
12,000
Now, six hundred looks like so:
600
Put the numbers together:
12,600
Now, seventy-one looks like so:
71
Put all the numbers together:
[tex]\boxed{\boxed{\bold{12,671}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{250}{2}[/tex]
The answer in figures is 12671
Two friends shared 1/3 of water equally how much water did each friend get
Answer:
1/6
Step-by-step explanation:
1/3 equals 2/6 then two friends share the 2/6 and it's 1/6
Hope this helped :)
Find the one arithmetic means between a and b
Answer:
[tex]\frac{1}{2}[/tex] (a + b)
Step-by-step explanation:
The arithmetic mean is the average of the 2 numbers, that is
[tex]\frac{a+b}{2}[/tex] = [tex]\frac{1}{2}[/tex] (a + b)
What is the answer to 16 times 1/100
Answer:
16/100 or simplified is 4/25
Step-by-step explanation:
product of x and y divided by the difference of a and b
Answer:
x*y/a-b
Step-by-step explanation:
(1/5)^3 in expanded form.
Answer:
1/125
Step-by-step explanation:
The expression x[3y-2(z-w)-y] is equivalent to:
Answer:
hey Hey Im the Hero to you 2x⋅(y−z+w)
Answer :D
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
x • ((3y - 2 • (z - w)) - y)
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2y - 2z + 2w = 2 • (y - z + w)
Final result :
2x • (y - z + w)
what is 2x+x+x+2y×3y×y simplified
Answer:
4x+6y³
Step-by-step explanation:
give me thanks, please;)
Answer:
NOTHING
Step-by-step explanation:
Write a rule to describe each transformation.
I do not know how can I get help ?
Given the figure below, find the values of x and z.
Answer: z = 107; x = 5
Step-by-step explanation:
z = 107 They are vertically opposite angles, which they are equal.
z + (6x + 43) = 180
1. Plug in 107 for z.
107 + (6x + 43) = 180
2. Get rid of parentheses.
107 + 6x + 43 = 180
3. Sum up the number in the left sides.
6x + 150 = 180
4. Subtract 150 from both sides.
6x = 30
5. Divided 6 from both sides.
x = 5
Someone help me pls I'll give out brainliest pls don't answer if u don't know
Evaluate the expression for the given values of the variables:
4(c + 5) - f^4; c = -1, f = 4
Answer:
-240Step-by-step explanation:
Given
4(c + 5) - f^4c = -1, f = 4Substituting values
4(-1 + 5) - 4^4 =4*4 - 256 =16 - 256 =-240Amber simplified the expression (a4+7a−16)−(12a3−5a+3) below. Amber made her first error at,
Problem: (a4+7a−16)−(12a3−5a+3)
Step 1: a4+7a−16−12a3+5a−3
Step 2: a4−12a3+7a+5a−16−3
Step 3: −11a+7a+5a−16−3
Step 4: −11a+12a−16−3
Step 5: −11a+12a−19
Answer:
It’s step 3 became she forgot to add a^4 in the problem when solving