How many outcomes are possible when you flip a fair coin and roll a fair 6-sided die at the same time?
12
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
Can someone please help me I really need help please help me thank you
Answer:
A
Step-by-step explanation:
Perpendicular lines always have the negative (opposite) reciprocal slope. Therefore, the slope of the line would be -2 because the reciprocal is just switching the numerator and denominator around (1/2 changes to 2/1 which is 2) and the negative means the opposite sign of which was originally given... i.e, since the 1/2 was positive, now it would be negative. That is why the slope is -2.
The equation of a line is y=mx+b with m representing the slope and b representing the y-intercept. Now to find the y-intercept, plug in the given components of the point (4,0) for the equation and solve for b (the y-intercept). Use 4 for x and 0 for y.
0=-2(4)+b
0=-8+b
8=b
Find the area of the triangle.
Answer:
80cm^2
Step-by-step explanation:
Answer:
80 ft^2
Step-by-step explanation:
To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2
Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance. In a study of a weight loss program, 77 subjects lost an average of 4141 lbs. It is found that there is about a 4040% chance of getting such results with a diet that has no effect. Does the weight loss program have statistical significance?
Answer:
No, the weight loss program doesn't have statistical significance.
Step-by-step explanation:
We are given that in a study of a weight loss program, 7 subjects lost an average of 41 lbs.
It is found that there is about a 40% chance of getting such results with a diet that has no effect.
Firstly, statistical significance means that the event is sure to be happen and there is a proper statistical calculation behind it.
But here it is stated that there is a 40% chance of getting such results with a diet that has no effect which means that the event is unlikely to happen by chance and it is just a prediction so, the weight loss program is not statistically significant.
Now, practically significant means that there is a large difference in the subjects being tested.
Here, the weight loss program is considered to be practically significant because there is a large amount of weight loss of 43 lbs of the subjects which is a large amount.
In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of side M N is 19 inches. Sides X Y and M P are congruent. Sides Y Z and P N are congruent. If mAngleP = 85°, which is a possible measure for AngleY? mAngleY = 80° mAngleY = 85° mAngleY = 100° mAngleY = 180°
Answer:
[tex]m\angle Y = 85\°[/tex]
Step-by-step explanation:
In Triangles YXZ and PMN
[tex]XY \cong MP\\YZ \cong PN[/tex]
Since the third side of triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.
Therefore:[tex]\triangle XYZ \cong \triangle MPN\\[/tex]
If the measure of angle P = 85°
Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.
Answer:
I believe the correct answer would be m<Y= 100° which would be letter C.
Step-by-step explanation:
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of 244 students and found that 96 of them drink. Is this an unusual result contradicting the national survey or it is in line with it? Answer the question by determining how far away the proportion is from 44% in terms of standard deviations.
Answer:
It is an unusual result contradicting the national survey.
Step-by-step explanation:
National survey showed 44% of college students who drink.
The professor's survey showed that 96/244 = 39% drink.
The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.
Standard deviation is the spread of a set of numbers from their mean. In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.
Please can someone help me on how to answer this question?
Answer:
Hello, I'll do it again caus eit got deleted for some reason!
m = 2g^2 + 5
Step-by-step explanation: Remove the radical by raising each side to the index of the radical.
Hope this helped you again!
what is the slope-intercept equation of this line?
Answer:
y=-2x+8
Step-by-step explanation:
Slope=-2
Y intercept= 8
John cut a paper square with a perimeter of 18 inches into two rectangles. The perimeter of one of the rectangles is 10 inches. What is the perimeter of the second rectangle?
Answer:
13.5 inches
Step-by-step explanation:
Perimeter of the paper square = 18inches
Perimeter of a square = 4s
4s = 18 inches
s = 18/4 = 4.5 inches
Therefore, each side of the square = 4.5 inches.
When the square is cut into 2 rectangles,
The perimeter of one of the rectangles is 10 inches.
Perimeter of the second rectangle = 2L + 2W
Let the length of the rectangle (L) = one side of the square = 4.5 inches
Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25
Perimeter of the second rectangle = 2(4.5) + 2(2.25)
= 9 + 4.5
= 13.5 inches
help me with this question pliz
also show that the length of the minor arc AB equals to 5.84cm correct to 3 significant figures
Answer:
a) [tex]\boxed{Area of Sector AOB = 23.3 units^2}[/tex]
b) [tex]\boxed{Arc Length = 5.84 units}[/tex]
Step-by-step explanation:
a) Area of Sector AOB = [tex]\frac{1}{2} r^2 \theta[/tex]
Where r = 8, θ = 41.8 degrees
Firstly, Angle in Radians
=> 41.8 degrees = 0.73 radians
So,
Area of Sector AOB = [tex]\frac{1}{2} (8)^2 (0.73)[/tex]
Area of Sector AOB = [tex]\frac{1}{2} (64)(0.73)[/tex]
Area of Sector AOB = 23.3 units²
b) Finding the length of minor arc AB
So,
Arc Length = Radius × [tex]\theta[/tex]
Where Radius = 8, [tex]\theta[/tex] = 0.73 radians
Arc Length AB = 8 * 0.73
Arc Length = 5.84 units
Answer:
1337.6 cm squared
Step-by-step explanation:
Using formula: [tex]A=(x/2)*r^{2}[/tex]
[tex]A=(41.8/2)*8^{2}[/tex]
i need help with this please
Answer:
I think it is C
Step-by-step explanation:
because x repeats with diffirent y.
Answer:
the bottom left box
Step-by-step explanation:
because each domain should have only one range to be a function
please help, I will mark the first response as brainiest. Factorising Expressions
Answer:
Factorising is the reverse of expanding brackets Expressions is done by these methods
talking common
making formula
Step-by-step explanation:
i hope this will help you :)
Answer:
Factorising an expression is to write it as a product of its factors. There are 4 methods: common factor, difference of two squares, trinomial/quadratic expression and completing the square.
Hope it will help you!
Step-by-step explanation:
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Smith and 44% supported challenger Jones. Also assume that the poll had a /- 3% margin of error. What would the pollster be able to safely predict
Answer:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .
draw the graph of the equation x+y=5and find the points were the line meets the x axis and y axis
Answer:
Use a graphing calculator.
Step-by-step explanation:
How to solve without a graphing calculator (if it's not allowed):
1) convert x+y= 5 to slope-intercept form. (right now it's in standard form.) We can do this by solving for y.
x+y=5 (subtract x from each side), y= -x +5
2) graph by hand using y=mx+b. From our equation, we can see that m= -1 and b=5. So, graph starting at 5, and go down one, over one, as far as you need to be able to draw the line through your points. Now, you can see that the y-intercept is 5 and the x-intercept is 5.
y is inverse proportional to x. y=16 when x is 1/2. Write an expression for y in terms of x
Answer:
The answer is
[tex]y = \frac{8}{x} [/tex]
Step-by-step explanation:
The above variation is written as
[tex]y = \frac{k}{x} [/tex]
Where k is the constant of variation
y = 16 x = 1/2
[tex]k = yx \\ k = 16 \times \frac{1}{2} \\ k = 8[/tex]
So the expression for y in terms of x is
[tex]y = \frac{8}{x} [/tex]
Hope this helps you.
Suppose the area of a rectangle is represented by the expression 100 – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?
Answer:
a - b and a + b.
Step-by-step explanation:
Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.
According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.
In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).
We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.
Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).
Hope this helps!
PLEASE HELP ME! Sally is paid a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month.
Answer: 6($m - $20)
Step-by-step explanation:
From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:
$m - $20.
The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:
= 6($m - $20)
Answer:
Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.
Step-by-step explanation:
she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)
I need help with converting this to get the answer!! Please help!! :D
Answer:
Volume of the water droplet = 0.00001 cubic meter
Step-by-step explanation:
∵ 100 centimetres = 1 meter
∴ 1 centimetre = [tex]\frac{1}{100}[/tex] meter
= 0.01 meter
Volume of a water droplet = 0.1 cubic centimetre
= 0.1 (centimetre)³
By putting 1 centimetre = 0.01 meter
Volume of the water droplet = 0.1 (0.01 meter)³
= 0.1 × (0.01)³ meter³
= 0.1 × 0.0001 meter³
= 0.00001 meter³
simplify by combining like terms: 7x + 6x + 9
Answer:
The like terms are 7x and 6x so the answer is 13x + 9.
Answer:
13x + 9 is the Answer
Step-by-step explanation:
Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the mall? $19.00 $23.50 $28.50 $31.67
Answer:
Francis spent $19 and Hector spent $28.50
A. $19
Step-by-step explanation:
The total amount spent between the two person = $47.5
If Hector is represented by H
Francis represent by F
Therefore equation 1 = H + F = 47.5
H +F = 47.5 ..........(eqn 1)
From the question
Hector = Francis + 50% Francis
Translating this into an equation we get,
H = F + 0.5F ...... (eqn 2)
Substitute equation 2 into equation 1, we get:
(F + 0.5F) + F = 47.5
Thus 2.5F = 47.5
F = 47.5/2.5 = 19
Se desea plantar árboles a lo largo de un camino de 80m de longitud, a una distancia mínima entre ellos. Si dicha distancia de separación aumentará 6m, entonces el número de árboles necesarios disminuirá en 3. ¿Cuántos árboles serán plantados de la primera forma?
Answer: 8 arboles.
Step-by-step explanation:
Ok, el camino tiene 80m de longitud.
Si la distancia entre árbol y árbol es x metros, entonces entran:
N = 80m/x arboles.
Ahora, si x aumenta en 6m, entonces el numero de arboles se reduciría en 3, entonces tenemos el sistema de ecuaciones:
N = 80/x
N - 3 = 80/(x + 6)
Para resolver esto, el primer paso es remplazar la primera ecuación en la segunda:
N - 3 = 80/x - 3 = 80/(x +6)
Ahora podemos resolver esto para x.
80*(x + 6) - 3*x*(x +6) = 80x
80*x + 480 - 3*x^2 - 18*x - 80x = 0
-3*x^2 -18*x + 480 = 0
necesitamos resolver esa ecuación cuadrática, y sabemos que las soluciones son:
[tex]x = \frac{18 +-\sqrt{18^2 + 4*3*480} }{-2*3} = \frac{18 +-78}{-6}[/tex]
Entonces las dos soluciones son:
x = (18 +78)/-6 = -16
x = (18 - 78)/-6 = 10
La solución tiene que ser positiva, así que elegimos la segunda.
Esto quiere decir que la primera distancia es 10 metros, entonces el numero de arboles es:
N = 80m/10m = 8
Solve : a) (x-4)(x-2)=0
Answer: X= 3
Step-by-step explanation:
x-4*x-2=0
+4. +4
—————-
x*x-2=4
+2. +2
——————
x*x=6
2x=6
/2. /2
—————-
x=3
Sean and katherine have been married for two years. They want to start a family soon. However, before having a child, they would like to secure their future and the future of their child. Which financial option will help them secure their family's future? A. Invest in in several real estate options B. Invest in high-risk shares that promise big returns C. Invest in a joint insurance and retirement plans D. Become entrepreneurs or invest in a profit-making business
Answer:
A joint insurance and retirement plan would generally be the most secure investment.
Step-by-step explanation:
Note: there may be divergence in the answers depending on personal opinion.
If they would like to secure their future, then they need secure investments, or low-risk investment. Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.
A. real estate options, mean unknown return in unknown time-frame
B. high risk shares that promise big returns mean risky investment with high risk of losses
C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)
D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.
A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the balcony seats cost $35 each. The theater collected $44,350 in ticket sales for the performance. How many balcony tickets were sold?
Answer:310
Step-by-step explanation:
Answer:
Balcony tickets = 310
Step-by-step explanation:
Let x be orchestra seat
and y be balcony seat
x + y = 980
x = 980 - y................ (1)
50x + 35y = 44350
Substituting in equation 2,
50 (980 - y) + 35y = 44350
y = 310
using the frequency table. what fraction of students passed the test
Add the frequency for 16 and above :
5 + 7 + 7 = 19
19 passed
Total students ( add all frequencies) is 30
The fraction that passed is 19/30
Which function's graph is shown below?
help plz quick i will make u a brainllest
Answer:
B
Step-by-step explanation:
Two 90 degree angles add up to 180, a supplementary angle
Correction: The answer is B, I have made a mistake. Sorry.
2. Michael receives a weekly pocket money of $28. If he decides to save 20% of it,
find his
() savings in a year,
(ii) spending in a year.
Assume that there are 52 weeks in a year.
a
Express 35 millimetre in centimetre
Answer:
Hello!
___________________
Express 35 millimetre in centimetre
Millimetre = 35
Centimetre = 3.5
Step-by-step explanation: Divide the length value by 10.
Hope this helped you!
:D
Answer:
Hey! :)
35 millimetre = 3.5 centimetre
Good luck!
- The Brainly Team