Given:
P = Set of all triangles,
Q = Set of scalene triangles,
R = Set of isosceles triangles and
S = Set of equilateral triangles.
To find:
Which of the following statements are true or false?
Solution:
We know that,
Scalene triangles : All sides are different.
Isosceles triangles : Two sides are equal.
equilateral triangles : All sides are equal.
Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.
[tex]Q\subset P[/tex]
So, (a) is true.
All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.
[tex]R\nsubseteq S[/tex]
So, (b) is false.
Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .
[tex]S\subset R[/tex]
So, (c) is true.
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
(1) Is the slope of the line having y=5 as its equation zero or undefined?
(2) is the slope of the line having x=-4 as it’s equation zero or undefined?
Answer choices: (A)the slope is neither zero or undefined. (B) the slope is undefined. (C) the slope is zero
Answer:
(1) The slope of the line having y = 5 as its equation is zero ⇒ (C)
(2) The slope of the line having x = -4 as its equation is undefined ⇒ (B)
Step-by-step explanation:
The line is a horizontal line if the y-coordinates of all points lie on it have the same valueThe equation of the horizontal line is y = b, b is the y-intercept (0, b)The slope of the horizontal line is zeroThe line is a vertical line if the x-coordinates of all points lie on it have the same valueThe equation of the vertical line is x = a, a is the x-intercept (a, 0)The slope of the vertical line is undefinedLet us use the rules above to solve the question
(1)
∵ The equation of the line is y = 5
→ That means the line is horizontal
∴ The line is a horizontal line
∵ The slope of the horizontal line = zero
∴ The slope of the line having y = 5 as its equation is zero
(2)
∵ The equation of the line is x = -4
→ That means the line is vertical
∴ The line is a vertical line
∵ The slope of the vertical line is undefined
∴ The slope of the line having x = -4 as its equation is undefined
If the t ratio for the slope of a simple linear regression equation is equal to 3.614 with a p-value of 0.006, then the slope is
Answer:
Then the slope is Significantly different from zero at both the 5% level and the 1% level.
Step-by-step explanation:
In statistics for a value to be said to be significant, this value has to be less than p value at the selected level of significance.
Here,
P value = 0.006
5% significance level = 0.05
0.006 < 0.05, so the slope value is significant at 5% significance level.
1% significance =0.001
0.006 is less than 0.01 so the slope coefficient is also significant at 1% significance level
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately
σ
=
62.5
dollars. You would like to be 95% confident that your estimate is within 3 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?
Answer:
The number of parents spend their kids birthday parties
'n' = 1667
Step-by-step explanation:
Explanation:-
Given standard deviation of the Population = 62.5
Given the estimate error = 3 dollars
Level of significance =0.05
Z₀.₀₅ = 1.96
The margin of error defined by
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} } \\3 = \frac{1.96 X 62.5}{\sqrt{n} }[/tex]
cross multiplication , we get
3√n = 1.96 X 62.5
√n = 40.833
Squaring on both sides, we get
n = 1667.34
The number of samples are 'n' = 1667
My soda was $3.10 but I left a 10% tip. What did I end up paying for?
Answer:
You left them a 0.31 cent tip and you payed all together $3.41
Step-by-step explanation:
Which of the following numbers are irrational? Check screenshot.
Answer:
d
Step-by-step explanation:
i think it's d because it's negative
Answer:
It is c
Step-by-step explanation:
It doesn't matter if it's negative, irrational means when the number is never repeating like π
Mr. Bobby plans to spend no more than $200 on pizza and soda for a party. Each pack of soda costs $5.00 and each pizza costs $8.00. Which inequality could Mr. Bobby use to determine how many packs of soda, s, and how many pizzas, p, he can buy?
I need it asap, pls try to include Step-by-Step if possible :)
Answer:
You can buy 12 pizzas and 20 sodas with a small sum left over.
Step-by-step explanation:
Choose the rule to describe the transformation:
T(2, 3), U(5, 4), V(2, 0)
to
T '(-1, 2), U '(2, 3), V '(-1, -1)
a. dilation of .25 about the origin
b. translation: (x, y)LaTeX: \longrightarrow⟶(x - 3, y)
c. reflection across the y-axis
d. translation: (x, y)LaTeX: \longrightarrow⟶(x - 3, y - 1)
The initial points: T(2 , 3) U(5, 4) V(2, 0)
The transformed points: T'(-1, 2) U'(2,3) V'(-1, -1)
Identifying the Transformation rule:Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them
T(2, 3) → T'(-1, 2)
We can see that these points are not reflected across the y-axis
Checking if they have a dilation of 0.25 about the origin:
Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points
So, if the points have a dilation of 0.25:
x (initial) * 0.25 = x(final)
2*0.25 = -1
0.5 ≠ -1
Hence, there is no dilution of 0.25
Checking if the given points are translated:
To check this, we will take 2 pairs of initial and transformed points
T(2,3) → T'(-1,2)
U(5,4) → U'(2,3)
To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal
Change in coordinates of T:
x-coordinates:
x(final) - x(initial) = x(change)
x(change) = -1 - (2)
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 2 - (3)
y(change) = -1
Change in coordinates of U:
x-coordinates:
x(change) = x(final) - x(initial)
x(change) = 2 - 5
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 3 - 4
y(change) = -1
Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place
Since the change in x is -3 and the change in y is -1, the translation will look like:
(x-3 , y-1)
Which is also option d.
Hence, option d is the correct answer
Can someone help with these two PLZ.
Answer:
5. 76
6. 24
Step-by-step explanation:
5.
x + x = 152
2x = 152
x = 76
6.
2x + 3x = 120
5x = 120
x = 24
Select the correct answer.
Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter to draw the scale diagram. If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeters, what is the actual area of the court?
A.
1,307.84 square meters
B.
326.96 square meters
C.
81.74 square meters
D.
78 square meters
4x+3y=32
4x+y=16
work out x and y pleaseeeeeee
Answer:
The answer is xy=16-4 and xy=12
Simplify the expression:
2 + 8c + 3c+ 3c
Answer:
Solutions,Here:
2+ 8c + 3c + 3c
2+ 14c
14c + 2
Therefore, Answer is 14c + 2
I think that is the answer...
6x+12 factorizar mediante a factor comun
The circumference of a circle is
9m
What is the area of the circle?
Answer:
Cai on kgpkvugcg7 vgu ygvhy6vgvh7
PLZ HELP ILL GOVE YOU BRAINLIEST
Damian is deciding between two different movie streaming sites to subscribe to. Plan
A costs $33 per month plus $3 per movie watched. Plan B costs $37 per month plus
$2 per movie watched. Let A represent the monthly cost of Plan A if Damian watches
x per month, and let B represent the monthly cost of Plan B if Damian watches x
movies per month. Write an equation for each situation, in terms of x, and determine
the number of monthly movies watched, x, that would make the two plans have an
equal monthly cost.
Using linear functions, it is found that:
The equation for Plan A is: [tex]C_a(x) = 33 + 3x[/tex]The equation for Plan B is: [tex]C_b(x) = 37 + 2x[/tex]The monthly plans would have an equal cost when 4 movies are watched.A linear function for a cost depending on the number of movies x is given by:
[tex]C(x) = C(0) + ax[/tex]
In which:
C(0) is the fixed cost.a is the cost per movie.For Plan A, $33 per month plus $3 per movie watched, hence [tex]C(0) = 33, a = 3[/tex], and the equation is:
[tex]C_a(x) = 33 + 3x[/tex]
For Plan B, $37 per month plus $2 per movie watched, hence [tex]C(0) = 37, a = 2[/tex], and the equation is:
[tex]C_b(x) = 37 + 2x[/tex]
The monthly cost is equal when:
[tex]C_a(x) = C_b(x)[/tex]
[tex]33 + 3x = 37 + 2x[/tex]
[tex]x = 4[/tex]
The monthly plans would have an equal cost when 4 movies are watched.
A similar problem is given at https://brainly.com/question/16302622
Why did our Founding Fathers make the Articles of Confederation so weak?
A.They were afraid of having another monarchy/king
B.They wanted a strong executive branch of government
C.They wanted a strong court system
D.They want states to have no power
Answer:
A. They were afraid of having another monarchy/king.
Step-by-step explanation:
This is because they were already under a rule of a cruel king from Britain and the whole reason they were creating this document was because they rebelled from monarchy and wanted to create a better government.
grade 8 math PLEASE HELP
Answer:
C
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function.
Please help!! Please!!
Answer:x=B and y=D
Step-by-step explanation:plz leave a like
This recipe makes 6 portions of chocolate mousse.
Cali has 600 g chocolate, 36 eggs, 100 ml of lemon juice and 200 g of sugar.
Cali makes 18 portions of mousse by following this recipe.
How much of each ingredient will she have left?
Recipe: Serves 6
180 g chocolate
9 eggs
15 ml lemon juice
60 g sugar
Answer:
Chocolate - 420g
Eggs - 27
Lemon juice - 85ml
Sugar - 140g
Step-by-step explanation:
Given that:
Initial amount of ingredients:
Chocolate - 600g
Eggs - 36
Lemon juice - 100ml
Sugar - 200g
Amount of ingredients used :
Chocolate - 180g
Eggs - 9
Lemon juice - 15ml
Sugar - 60g
Amount of ingredient left :
Initial amount - Amount used :
Chocolate : 600g - 180g = 420g
Eggs : 36 - 9 = 27
Lemon juice : 100ml - 15ml = 85ml
Sugar : 200g - 60g = 140g
A lender estimates the closing costs on a home loan will be 3% of the loan amount of $180,000. The actual closing costs are listed below.
Closing Cost
Charge
Loan origination
$345
Title insurance
$600
Attorney's fees
$1,350
Appraisal
$480
Inspection
$550
Recording fees
$175
Escrow
$1,900
Evaluate the lender's good faith estimate.
a.
The lender made an excellent estimate; it was equal to the actual closing costs.
b.
The lender made a very good estimate; it was within 0.25% of the actual closing costs.
c.
The lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs.
d.
The lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
An evaluation of the lender's good faith estimate shows a. The lender made an excellent estimate; it was equal to the actual closing costs.
Data and Calculations:
Estimated rate of closing costs of loan = 3% of loan amount
Loan amount = $180,000
Estimated closing costs = $5,400 ($180,000 x 3%)
Actual closing costs incurred:
Loan origination $345
Title insurance $600
Attorney's fees $1,350
Appraisal $480
Inspection $550
Recording fees $175
Escrow $1,900
Total actual costs $5,400
Actual costs in percentage = 3% ($5,400/$180,000 x 100)Thus, the lender made an excellent estimation. It equals the actual closing costs.
Learn more: https://brainly.com/question/21448382
Answer:
maybe I'm wrong but I think is A.
Step-by-step explanation:
The table below shows that the number of miles driven by Nolan is directly proportional to the number of gallons he used.
Answer:
1835.16
Step-by-step explanation:
if you divide the miles driven by the gallons used, the answer is the # of gallons.
In this problem, 37.3 gallons is the gallons used so 49.2 x 37.3 = 1835.16
A store sells a package of comic books with a poster. A poster and three comic books cost $10.50. A poster and 12 comics cost $19.50. Write a linear function rule that models the cost Y of a package containing any number of X comics. Suppose another store sells a similar package, modeled by a linear function rule with initial value $8.75. Use y = mx + b
answer:
there you goooo
Explanation
Answer:
It is either 10.50=3x+b or 19.50=12x+b
Step-by-step explanation:
HELP FAST! PLEASE
What is the Domain and range?????
Domain: [tex]x \ge 0[/tex]
Domain in interval notation: [0, infinity)
This is because the domain is the set of all allowed x inputs. In this case, x = 0 is the smallest and we include this endpoint. Any x value x = 0 or larger is part of the domain (since the graph stretches' on forever to the right)
--------------------------------------------------------------------
Range: [tex]y \ge 2[/tex]
Range in interval notation: [2, infinity)
For similar reasoning as the domain, but now we consider the possible y output values. Here y = 2 is the smallest and we include it. Note the square bracket for interval notation means "include this endpoint". The curved parenthesis means "exclude this endpoint"
In the context of the passage as a whole, the first sentence of the third paragraph (“Yet . . . can do”) marks the transition between
Answer:
ITS D
Step-by-step explanation:
The answer is D, an explanation of a viewpoint and a rebuttal of that viewpoint. I got it right on AP Classroom.
the perimeter of square ground is 122
i) find its length
ii)find its area
iii)find the Cost of growing grasses I n don't the ground at rs 40 per sq.m.
Answer:
i. 30.5m
ii. 930.25m²
iii. Rs. 37,218
Step-by-step explanation:
Perimeter of a square = 4 * Length
i. Length = Perimeter/4
= 122/4
= 30.5 m
ii. Area = Length * Height
= 30.5 * 30.5
= 930.25 m²
iii. Cost of growing grasses at Rs. 40 per m²
= 930.25 * 40
= Rs. 37,218
What fraction divided by 3/6 is equal to -9/10?
Answer:
9/18
3/6 is the same as 9/18.
Step-by-step explanation:
Use the following rules to graph and label the ordered pairs on a coordinate grid with at least 4 points on the coordinate
plane:
Maddy and Ted worked together to graph points on a coordinate plane.
1. Maddy wrote a pattern for all the x coordinates starting at 3 and followed the rule "add 2.".
2. Ted wrote a pattern for all the y coordinates starting at O and followed the rule "add 4."
Answer:
3
Step-by-step explanation:
Given a rational expression, identify the excluded values by finding the zeroes of the denominator.
x − 4
x2 + 2x − 24
The excluded values are x ≠ .
Step-by-step explanation:
In the rational fraction (x - 4)/(x² + 2x - 24),
x² + 2x - 24 is the denominator.
When x² + 2x - 24 = 0, (x + 6)(x - 4) = 0.
=> x = -6 or x = 4.
The excluded values for x are -6 and 4.
ce What is the distance between (-4,-10) and (-4, -4)? o 3 units 04 units 06 units 08 units
Answer:
06 units
Step-by-step explanation:
f(x) = x2 What is g(x)=f(3x)