Answer:
8
Step-by-step explanation:
Hello, no worries! It's a pleasure to meet and help you out today.
Median refers to the number that is in the middle of a data set.
The data set you provided has the numbers listed in order, which is great! However, if it's not listed in order, then you must list it in order by yourself.
Data Set: 4, 5, 5, 8, 8, 8, 9, 12, 13
As I said previously, we must find the middle value in the data set.
Data Set: 4, 5, 5, 8, 8, 8, 9, 12, 13
Clearly, the middle value in the data set is 8, so that's the median.
I hope my work has helped you in a way, and I wish you the best of luck with the rest of your assignment! (:
Solve the simultaneous equations.
x^2+y^2=13
y=x+1
Solving the simultaneous equation gives x as 2 and y as 3
How to solve the simultaneous equationFrom the information given, we have the equations as;
x² + y² = 13 equation (1)y = x + 1 equation (2)Now, substitute the value of y as x + 1 in equation (2) into the equation (1)
We have;
x² + (x + 1)² = 13
expand the bracket
x² + (x + 1)(x+1) = 13
x² + x² + x + x +1 = 13
collect like terms
2x² + 2x + 1 - 13 = 0
2x² + 2x - 12 = 0
Factorize the equation
2x² + 6x - 4x - 12 = 0
Factor the common terms
2x(x + 3) - 4(x + 3) = 0
2x - 4 = 0
x = 2
x = -3
Substitute x as 2 into equation (2)
y = x + 1
y = 2 + 1
y = 3
Hence, the values are 2 and 3
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i dont know the answer ..can i get help?
After plotting the data where x-the side of a polygon, and f(x)= the area of the polygon, Jack used technology and determined the appropriate model to approximate the area of the polygon, F(x)=x² + 3x + 2. Use the model Jack created to predict the area of a polygon that has a side length of 3.
19 18 20 10
Answer: The answer would be D. 20 Because u plug 3 in for x so F(x)= 9+9+2
Step-by-step explanation:
Three sisters share some money. the oldest gets 5/11 of the share. The older gets 7/12 of the remainder. what fraction of the money does the old girl gets?
The fraction of the money the old girl gets is 7x/22 and the oldest gets 5x/11.
How much does an older girl get?Given,
Oldest gets 5/11 of the share.
The older gets 7/12 of the remainder.
Solution:
Let x be the total amount.
Oldest share = 5/11*x
= 5x/11
Older share =( x - 5/11*x)*7/12
= (11x-5x/11)*7/12
= 6x/11*7/12
= 42x/132
= 21x/66
=7x/22
The fraction of the money the old girl gets is 7x/22 and the oldest gets 5x/11.
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(03.05)
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. (1 point)
k=
Pic Below
Given f(x) and g(x) = f(x) + k, from the graph, we can determine the value of k as 4 units.
In the question,
Given f(x) and g(x) = f(x) + k
From the graph, we can say that there is a shift of 4 units up between f(x) and g(x).
The given lines are parallel lines, so their slopes will be the equal but intercepts will be different for both the lines.
The y-intercept of f(x) = -3 and that of g(x) = 1
Hence, the difference between the intercepts when calculated is (1 -(-3)) = 4.
Therefore, g(x) = f(x) + 4
So, the value of k is 4.
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A student believes there is a correlation between the number of texts sent during class and gpa. the student collected data and found that the line of fit can be modeled by the equation ŷ = 3.9 − 0.1x. identify and interpret the slope in this scenario. the slope is 3.9. starting at 0.1, the gpa will increase by 3.9 for every text sent in class. the slope is 3.9. starting at 0.1, the gp will decrease by 3.9 for every text sent in class. the slope is −0.1. starting at 3.9, the gpa will increase by 0.1 for every text sent in class. the slope is −0.1. starting at 3.9, the gpa will decrease by 0.1 for every text sent in class.
The slope is -0.1 starting at 3.9, the GPA will decrease by 0.1 for each text sent in class.
Here we have to find the slope.
The equation given is:
y = 3.9 - 0.1x
As we know that the equation of a line is:
y = mx + c
Therefore we get that the slope is m = -0.1
Starting at 3.9 the GPA will decrease by 0.1 for every text sent in class ( for y = mx + b, a is the slope which is the coefficient of x)
Because the slope is less than 0, it is decreasing.
Therefore the slope is -0.1 and there is a decrease in GPA of 0.1.
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Eli has a points card for a movie theater.
• He receives 40 rewards points just for signing up.
• He earns 7.5 points for each visit to the movie theater.
• He needs 100 points for a free movie ticket.
How many visits must Eli make to earn a free movie ticket?
Answer:
8 visits
Step-by-step explanation:
x=# of visits
100=40+7.5x
60=7.5x
x=8
hope this helps :)
Answer:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Step-by-step explanation: hqwediywydgwq78d
What’s the answer plss
Answer:
∠M
Step-by-step explanation:
∠M is the only vertex that does not already have an indicated angle. There are three vertexes, being 90° at ∠K (the box-like figure means it is a right angle, therefore 90°) , 61° at ∠N , and ∠M, which does not have a given angle.
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2), B(2, 4), and C(6, 4). He wants to create another, similar-shaped garden, A'B'C', by dilating triangle ABC by a scale factor of 0.5. What are the coordinates of triangle A'B'C'? A. A'(2, 2), B(1, 2). C'(3, 2) B. A'(2, 1), B(1, 2). C'(3, 2) C. A'(8,4), B'(4, 8), C'(12, 8) D. A(2, 1), B(1, 2), C'(6, 4)
Hello, we have drawn the triangular region indicated in the first photo and we will find the side lengths of the triangle by means of the right triangles you see in red and green. (Using the Pythagorean Theorem) The triangular region indicated represents an isosceles triangle. Its base is [tex]4[/tex] units.
Next, we take half the length of the sides. Draw a triangle with base [tex]2[/tex] units and each of its lateral sides with [tex]\sqrt{2}[/tex] units.
Only Option B meets this condition. I wish you success.
Rewrite the expression in the from form b^n
If b=3, then 3^-2=1/9, and 3^4=81. 1/9÷81= 1/729, which is 3^-6.
You can use any other example you want (I would recommend a calculator)
Find the midpoint between coordinates (-8,6)
and (-10,4)
Answer:
(-9, 5)
Step-by-step explanation:
A midpoint is the point, or center at the middle of two given points.
The midpoint formula:
[tex](Xm, Ym)= (\frac{x1 + x2}{2}), (\frac{y1 + y2}{2})[/tex]
X1, Y1 is an endpoint
X2, Y2 is an endpoint.
Explanation:
X1, Y1= (-8, 6)
X2, Y2= (-10, 4)
[tex]Xm, Ym= \frac{(-8)+(-10)}{2}, \frac{(6+(4)}{2}[/tex]
[tex]Xm, Ym= \frac{-18}{2}. \frac{10}{2} \\\\Xm, Ym= (-9, 5)[/tex]
The Midpoint is (-9, 5)
Mr. Meyer watches g hours of TV every night after school. Ms. Gellos watches the amount of TV that Mr. Meyer 5 watches. Write two equivalent expressions that represent the total amount of TV watched by both teachers on a given night.
The two equivalent expressions for the given situation are 'g = 5g' and 'g - 5g = 0'.
What are expressions?Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.So, the expressions will be:
Mr. Meyer watches g hours of TV and Ms. Gellos watches the amount of TV that Mr. Meyer 5 watches.Then, let time be 'g':
g = 5gg - 5g = 0Therefore, the two equivalent expressions for the given situation are 'g = 5g' and 'g - 5g = 0'.
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Maggie has $960. She spends 1/4 of the money on a mountain bike and 1/6 of
the remainder on bicycle clothing and accessories. She saves the rest of the
money. How much money does she save?
After calculating the given fractions, we have to find that Maggie is left $500 and therefore she saved $500.
What is fraction?Mathematically, a fraction is represented as a numerical value that identifies a portion of a whole. A fraction is a portion or section of any amount that makes up a whole, where a whole can be any number, a certain amount, or an object.
Use this example to help us understand this idea. Pizza is divided into 8 equal pieces in the following illustration. Now, if we want to express one particular piece of the pizza, we can do so by using the notation 1/8, which indicates that we are speaking of one piece out of a total of 8 equally sized pieces.
It means one in eight equally sized portions. It can also be read as follows:
1/8th, or 1 by 8
Given that Maggie has $960
She spends 1/4 of the money on a mountain bike that gives
⇒ 960 - (960 × 1/4)
⇒ 960 - 240
= $720
And the she uses 1/6 of the remainder on bicycle clothing and accessories that gives
⇒ 720 - (720 × 1/6)
⇒ 720 - 120
= $500
Thus, she is left $500 dollar and therefore she saved $500.
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Focus (5, 6) and Directrix x = 1
Answer:
kitchen scaleuwueieie
True or False:
The Commutative Property of Multiplication states that for all expressions a and b, ab = ba.
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
= 8; = 2
P(7 ≤ x ≤ 11) =
The indicated probability of the normal distribution is 0.9332
The natural and social sciences frequently utilize normal distributions to describe real-valued random variables which distributions are unknown, which is why normal distributions are essential in statistics.
The central limit theorem contributes to some of their significance. According to this statement, under some circumstancesThe average of numerous samples (observations) of a random vector with finite mean and variance is itself a random variable, whose distribution conforms to a normal distribution as the number of samples rises. As a result, the distributions of physical quantities, such as error margins, that are predicted to be the sum of numerous distinct processes frequently resemble normal distributions.In the given normal distribution:
mean = 8 and standard deviation = 2
The indicated probability is given by P(7 ≤ x ≤ 11)
The z score of the distribution is given by
Z = ( 11 - 8 ) ÷ 2 = 1.5
From the z-score we can calculate the probability :
P(7 ≤ x ≤ 11) = 0.9332
Therefore the indicated probability is 0.9332
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can someone please help me !!!!!!!!!!!!!!!!!!!!!!!!11
answer
: I think it's -70 I'm not 100 percent sure but I think
Answer:
m is undefind
Step-by-step explanation:
sorry for the scribbles i got confused
m=m
Find x if m/LMN = 135°,
m/LMV=-1+45x, and m/VMN = 23x.
Answer:
Follow these steps for find x
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters
help please please please
Answer:
Step-by-step explanation:
-1 + 14x = 12x + 17
-12x -12x
-1 + 2x = 17
+1 +1
2x = 18
x is equal to 9
hope this helps!
A bag contains 80 more red marbles than black marbles. Ifthe ratio of red marbles 9 to 4, how many marbles are in the bag in total?
The ratio of red marbles to black marbles is 9:4, this implies:
[tex]\frac{x+80}{x}=\frac{9}{4}[/tex]By cross-multiplying and solving for x, we have:
[tex]\begin{gathered} 9x=4(x+80) \\ 9x=4x+320 \\ 9x-4x=320 \\ 5x=320 \\ x=\frac{320}{5} \\ x=64 \end{gathered}[/tex]Thus, the number of red marbles is 64+80=144 and the number of black marbles is 64.
Hence, the total number of marbles in the bag is:
[tex]144+64=208\text{ marbles}[/tex]What is the prime factorization of 175?
Answer: 5 x 5 x 7
Step-by-step explanation: 5 x 5 x 7
In Exponential Form:
52 x 71
CSV Format:
5, 5, 7
Prime[3] = 5, Prime[4] = 7
please help!
The Equation P= 2.5m + 35 represents the price P (in dollars) of a bracelet, where m is the cost of the materials (in dollars). The price of a bracelet is $115. What is the cost of the materials?
Answer:
The cost of materials is $32.
Step-by-step explanation:
You can solve this in a simple manner:
115 = 2.5m + 35
115-35 = 2.5m
80 = 2.5m
m = 32
You can check your answer by putting 32 back into the equation(P=2.5m+35) and you should get 115(which is price of bracelet)
Write an equation for the monthly wages of each family, including any bonuses or wage reduction.
Family 2: A married couple with two children who are in school. Both adults are working 40 hours per week with one making $16 per hour while the other makes minimum wage. One of these workers pays $25 per month in union dues.
Minimum wage is $11.50
Slope intercept form, please.
Answer:
what is the slope and the rest of them
the slope intercept form would be y=mx+b so you would need to help me help you. I just need to know a little information about this. Try sending me a picture of your problem or something so that I can help you!
write an equivalent expression to (x + 2) + 5y
Answer:
5y + x + 2 is one.
Step-by-step explanation:
Another one: x + (2 + 5y)
How do I solve this problem 2 5/12 = 3 1/4 + k
Answer:
Step-by-step explFirst, convert each mixed number into an improper fraction:
2
5
12
=
−
3
1
4
+
k
2
+
5
12
=
−
(
3
+
1
4
)
+
k
(
12
12
×
2
)
+
5
12
=
−
(
[
4
4
×
3
]
+
1
4
)
+
k
24
12
+
5
12
=
−
(
12
4
+
1
4
)
+
k
29
12
=
−
13
4
+
k
Next, add
13
4
to each side of the equation to isolate
k
while keeping the equation balanced:
13
4
+
29
12
=
13
4
−
13
4
+
k
13
4
+
29
12
=
0
+
k
13
4
+
29
12
=
k
Then, we need to put
13
4
over a common denominator so we can add the two fractions by multiplying it by an appropriate form of
1
:
(
3
3
×
13
4
)
+
29
12
=
k
39
12
+
29
12
=
k
68
12
=
k
Now, if necessary we can convert the improper fraction back into a mixed number:
60
12
+
8
12
=
k
5
+
4
×
2
4
×
3
=
k
5
+
4
×
2
4
×
3
=
k
5
+
2
3
=
k
5
2
3
=
k
k
=
5
2
3
Solve for x
1.5x = 25+x
Answer:
x = 50
Step-by-step explanation:
in pic
(-1, 1) (1, -1) (2, -2) (-2, 2) (1, -2) is it a function?? how do I explain if it is? please help! thanks :)
Answer:
This relation is NOT a function
Step-by-step explanation:
As you see in the attached image, the x value of 1 has 2 different points assigned to it. This relation would fail the vertical line test, therefore it is not a function.
Key words:
Relation: Any graph
Function: A relation that has 1 y value for every x value
Vertical line test: An imaginary line drawn on a relation/function to test if it is a function. (in some cases, like this relation, you will see right away from the placement of the points that it is not a function)
Hope that helps
NEED ANSWER ASAP
any answers are appreciated
part a. use the diagram to write an equation and solve for x. show your work
part b. use your answer from part a for x, and find the measure of both angles. select two answers
- 116
- 68
- 61
- 112
- 119
- 64
Answer:
×= 38
2x-15 = 61°
3×+5= 119°
Step-by-step explanation:
2×-15+3x +5= 180
180+10= 190
190 ÷5x
×=38
Answer:
a) x = 38
b) 61° and 119°
Step-by-step explanation:
Same-side Exterior Angles Theorem
When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).
Part (a)Using the Same-side Exterior Angles Theorem, equate the sum of the two angles to 180° and solve for x:
⇒ (2x - 15)° + (3x + 5)° = 180°
⇒ 2x - 15 + 3x + 5 = 180
⇒ 5x - 10 = 180
⇒ 5x = 190
⇒ x = 38
Part (b)Substitute the found value of x from part (a) into the expressions for each angle:
⇒ (2x - 15)°
⇒ (2(38) - 15)°
⇒ (76 - 15)°
⇒ 61°
⇒ (3x + 5)°
⇒ (3(38) + 5)°
⇒ (114 + 5)°
⇒ 119°
Therefore, the two angles are 61° and 119°.
Kate's middle school graduation party will be at the skating rink. The cost for each person is $15. The cost of the room for the party's $80 katies parents have set a budget of $478.
Given the function 15z +80=470, determine the maximum number of people who can be at the party.
Answer:
26 people
Step-by-step explanation:
15z +80 = 478
15z = total cost of the people
80 = cost of room
478 = budget
15z + 80 = 478
Subtract 80 from both sides
15z = 398
z = 26.53333
You can't have a decimal person
z = 26
Hope this helps :)
Have a nice day
