Answer:
Situation B is a function.
Step-by-step explanation:
We know that,
A function is a relation in which every element in the domain i mapped to a unique element in the co-domain.
That is, every element in the domain must have a unique image.
So, we see that,
Situation A = {student's name, all the colors that the student likes}
Here, the students can have more than one color which they like.
Thus, this relation is not a function.
Situation B = {student's name, the student's favorite math teacher}
Here, the students can have only one favorite math teacher.
So, this relation is a function.
Answer:
D
Step-by-step explanation:
Plz help.For what value of x is line m parallel to line n?
The midpoint of AB is M(4, -2). One endpoint is A(-2, 6). What is the other endpoint for B?
Answer:
endpoint for B is (10,-2)
Step-by-step explanation:
M={(x1+x2)/2,(y1+y2)/2}
(4,2)={-2+x2/2,6+y2/2)
By equating the x coordinates
4=-2+x2/2
8=-2+x2
8+2=x2
x2=10
By equating the y coordinates
2=6+y2/2
4=6+y2
4-6=y2
y2=-2
Therefore the endpoint for B is (10,-2)
Check all of the ordered pairs that satisfy the equation below.
A.
(21, )
B.
(7, 14)
C.
(21, 14)
D.
(42, 28)
E.
(14, 21)
F.
(28, 42)
Answer:
what is the y-coordinate for A?
Step-by-step explanation:
There are 18 football teams in a league,
Each team plays two matches against each of the other teams,
Work out the total number of matches played,
Answer:
306
Step-by-step explanation:
18x17=306
The total number of matches played by the teams will be given by using permutation is 306.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
There are 18 football teams in a league.
Each team plays two matches against each of the other teams.
Then the total number of matches played by the teams will be given by the permutation.
[tex]^{n}P_r = \dfrac{n!}{(n-r)!}[/tex]
We have
n = 18
r = 2
Then
[tex]\rm ^{18}P_2 = \dfrac{18!}{(18-2)!}\\\\\\^{18}P_2 = \dfrac{18!}{16!}\\\\\\^{18}P_2 = \dfrac{18 *17*16!}{16!}\\\\\\^{18}P_2 = 18*17\\\\\\^{18}P_2 = 306[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
The following are questions from a self-quiz.
According to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter. Suppose such an adult male is randomly chosen. Let X be height of that person. The next 2 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value.
a) The probability that the person is between 160 and 170 centimeters is
b) The probability that the person is higher than 190 centimeter is
Please state how you determined the probability from the standard normal table.
Answer:
0.0635 ; 0.1093
Step-by-step explanation:
Given that :
Mean (m) = 181
Standard deviation (s) = 7.3
Height = x
a) The probability that the person is between 160 and 170 centimeters
160 < x < 170
P(x < 160) - P(x< 170)
Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3
Z = - 1.51 ; Z = - 2.88
P(Z < - 1.51) - P(Z < - 2.88)
0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).
0.0655 - 0.0020 = 0.0635
b) The probability that the person is higher than 190 centimeter
P(x > 190)
Zscore = (x - m) / s
Zscore = (190 - 181) / 7.3
Zscore = 1.23
P(Z > 1.23) = 1 - P(Z < 1.23)
P(Z > 1.23) = 1 - 0.8907
P(Z > 1.23) = 0.1093
need help with this please!!
Answer:
a 1/4 cuz perpendicular m × m original line is -1
what is 9/10 ÷ 3/5 will give brainlist
Answer:1.5
Step-by-step explanation:
please solve:
2(X+3)=8-3(x-4)
x-3(x-2)=3(2-x)
question from equation and inequality.
Answer:
i) x = 2.8
ii) x = 2
Plz help! Will give Brainliest!!!
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!
Help please!!!! I’ll give brainilest
Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?
Answer:
She has 20 items on the list
Step-by-step explanation:
Answer:
if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.
2. Rachel makes cranberry almond cookies. The number of cups of cranberries and the number of cups of almonds are shown in the table below. What is the ratio of cups of cranberries to cups of almonds?
Answer:
Step-by-step explanation:
By 2 for the first one. And for 2 they skip counting by 6
help please i only have a few minutes will mark brainliest :)
Answer:
f(x)=-3x+9
Step-by-step explanation:
Which of the following are like terms?
15y4,16y3
8y6, 6y8
16y2, 12y
13y25, 2y25
Answer: D) 13y^25 and 2y^25
Like terms involve the same variables, and each of those variables must have the same exponents.
Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.
Is (–28, 92) a solution to the equation y = 92?
Answer:
yes
Step-by-step explanation:
the second number in a set of parenthesis is the y value and the number in the parenthesis is 92 which makes y=92 true
I need help!! Given: Quadrilateral pqrt , qsv , ptv , qv bisects rt , and Qr//pv
prove: QS=VS
What is the Statement and Reasons
Answer:
Statement 1: Quadrilateral PQRT; line QSV; line PTV line QV bisects line RT, and line OR is parallel to line PV
Statement 3: angle QSR is congruent to angle VST
Statement 5: Triangle RSQ is congruent to angle TSV
Reason 1: Given
Reason 2: If a line bisects a segment, then it divides the segment into two congruent segments.
Reason 4: If two lines are parallel, then the alternate interior angles are congruent.
Step-by-step explanation:
The first statement will always be your given statements.
The given result is proved by ASA congruence criteria.
What are the criteria for congruent triangles?Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.
The given problem can be solved in statement and reason form as follows,
In triangles ΔQSR and ΔTSV,
Statement Reason
1. ∠QRS = ∠STV Alternate interior angles for QR║PV
2. RS = TS QV bisects Line segment RT
3. ∠QRS = ∠VTS Vertically opposite angles
4. ΔQSR ≅ ΔTSV Triangles are congruent by ASA
Thus, QS =VS due to corresponding parts of congruent triangles.
Hence, QS = VS is proved by the ASA criteria for congruent triangles.
To know more about congruent triangles click on,
https://brainly.com/question/22062407
#SPJ2
What is the following product?
Answer:
The third one.
Step-by-step explanation:
Which
graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Answer:
I believe the answer would be
Step-by-step explanation:
a graph that goes up and then is a straight line then it goes down.
In other words the graph would be A.
Fill in the blank. The centroid is (blank) of the distance from each vertex to the midpoint of the opposite side.
Step-by-step explanation:
.
The centroid is 2/3 of the opposite side. of the distance from each vertex to the midpoint. 8. To inscribe a circle about a triangle, you use the.
5 pages·2 MB
The complete statement is: the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side
The properties of a centroid are:
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.The centroid is located at a point that is 2/3 from the vertex to the midpointThe second highlight above means that: the statement is to be completed with 2/3
Read more about centroids at:
https://brainly.com/question/1189196
what is the best estimate of the product 3 1/3 x 5/6
Answer:
8.611111
Step-by-step explanation:
brainliest plz
Can someone tell me the answer to me pls I have to be done in 20 minutes
Answer:
x = 9.25
Step-by-step explanation:
It is given that ABC is an isosceles triangle.
m∠A = 43° and m∠C = (6x+13)°
We need to find the value of x.
The sum of a triangle is equal to 180°.
∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°
∠A+∠B +∠C=180
43+∠B+(6x+13)°=180
6x+∠B+56=180
6x+∠B = 124
∠B =124-6x
For an isosceles triangle,
∠B = ∠C
124-6x = (6x+13)
124-13 = 6x+6x
111 = 12x
x = 9.25
So, the value of x is 9.25.
1.
A toy store is preparing for the
winter holiday season. The
manager is reviewing the current
inventory and comparing it to the
forecasted inventory needed that
is based on last year's sales.
What is the forecasted need for
board games?
Toy Inventory, 2016
Consider the following ordered data.6 9 9 10 11 11 12 13 14(a) Find the low, Q1, median, Q3, and high.(b) Find the interquartile range.
Answer:
6 ; 9 ; 11 ; 12.5; 14
B.) 3.5
Step-by-step explanation:
Given the data:
6 9 9 10 11 11 12 13 14
a.) The low = 6 (lowest value in the dataset)
b.) Q1 = Lower quartile
Q1 = 1/4(n + 1)th term
n = sample size = 9
Q1 = 1/4(9 + 1) ; 1/4(10) = 2.5th term
Q1 = (2nd + 3rd term) / 2 = (9 + 9) / 2 = 9
Median Q2:
Q2 = 1/2(9 + 1) ; 1/2(10) = 5th term = 11
Upper Quartile Q3:
Q3 = 3/4(9 + 1) ; 3/4(10) = 7.5th term
Q3 = (7th + 8th term) / 2 = (12 + 13) / 2 = 12.5
Interquartile range (Q3 - Q1)
(12.5 - 9) = 3.5
The high = 14 (highest value in the dataset)
Raju has some amount saved in his piggy bank. His uncle gave him Rs. 50 as a birthday gift and now Raju has Rs 123 with him.Find how much money he had earlier? ( Write an equation and solve).
123-50=73
Step-by-step explanation:
its pretty basic, subtract the amount his uncle gave him from what he has now
What is n?
Input
- 1
0
1
2
3
4
Output
8
9
10
11
n
13
Answer:
Please show more info you can send photos so we can see better thanks
what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25
Answer:
Contains the point (-3, 5) and is PARALLEL to the line x − 5y = 6. Solve the equation for "y":: 5y = x- 6 y = (1/5)x-(6/5) The slope is 1/5 ---- Equation of line with slope = 1/5 passing thru point (-3,5) (y-5)/(x+3) = 1/ ...
factorise x^2-3xy-18y^2
plzzzzz it's urgent
Step-by-step explanation:
here,
x^2 -3xy-18xy^2
=x^2-(6-3)xy-18xy^2
=x^2-6xy+3xy-18y^2
=x(x-6y)+3y(x-6y)
=(x-6y)(x-3y)
A school is arranging a field trip to the zoo. The school spends 698.24 dollars on passes for 29 students and 3 teachers. The school also spends 255.49 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
30.63
Step-by-step explanation:
698.24 divided by 32. because they counted the teacher and the student passes together. Then you add that number to 255.49 divided by 29 because the teachers pass is not included so then you get youre answer of 30.63
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.