Answer: 0.3 units
Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.
Five whole numbers are written in order.
4 6 х у
10
The mean and median of the five numbers are the same.
Work out the values of x and y.
Answer:
x = 7, y = 8Step-by-step explanation:
Given numbers in order:
4, 6, x, y, 10The mean is same as median.
The median is x as middle number. Since x is a whole number, the mean is also a whole number.
x and y can be selected from 7, 8 or 9 (numbers between 6 and 10).
The mean is:
(4 + 6 + x + y + 10)/5 =(20 + x + y)/5 = 4 + (x + y)/5It should be a whole number, so (x + y) should be divisible by 5.
The option is (7 + 8) = 15, and 9 is excluded.
Let's verify:
Median = x = 7Mean = 4 + (7 + 8)/5 = 4 + 3 = 7Mean:-
[tex]\\ \sf\longmapsto \dfrac{4+6+x+y+10}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}[/tex]
Median:-
n=5M(D)=n+1/2=5+1/2=3rd term[tex]\\ \sf\longmapsto M(D)=x[/tex]
Compare
[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}=x[/tex]
[tex]\\ \sf\longmapsto x+y+20=5x[/tex]
[tex]\\ \sf\longmapsto 4x=y+20[/tex]
[tex]\\ \sf\longmapsto x=y/4+5[/tex]
[tex]\\ \sf\longmapsto x[/tex]
Take pair of (7,8)
[tex]\\ \sf\longmapsto 7=8/4+5\implies 7=2+5[/tex]
Verified
Hence
x=7y=8A litter of puppies consists of black puppies and white puppies. A
puppy is randomly selected and removed from the litter. Then another
random selection is made from the remaining puppies.
Event A: The first
selection is a black
puppy.
Event B: The second
selection is a white
puppy.
Is A dependent on B?
We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.
So the situation is:
We have a group of puppies, some are black, some are white.
Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:
n₁ + n₂ = N
Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:
q = n₁/N
Then now we have:
N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.Now for the second selection, event B, the probability of selecting a white puppy is:
P = n₂/(N - 1)
Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.
So clearly event B depends on event A.
Now the question is:
Is A dependent on B?
No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.
If you want to learn more, you can read:
https://brainly.com/question/12138717
Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket
Answer:
$14Step-by-step explanation:
The difference of sales between the first and the second days is the cost of 85 tickets:
2310 - 1120 = 1190Cost of a ticket:
1190/85 = 14Find the slope of these two points that's the cost
(0,1120)(85,2310)Slope
m=2320-1120/85-0m=14The fraction 7/12 is found between which pair of numbers on a number line?
Answer:
B
Step-by-step explanation:
[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]
Part 1: Celebration!
You and three friends will be going out to eat at your favorite restaurant!
Each of you will order three items of your choice. You will also need to leave a tip. If you split the bill evenly among all four of you, how much will each person need to contribute?
Locate a menu for your favorite restaurant and pick three items for yourself and each friend. Make sure all or some of the items differ for each person.
List the restaurant name, items, and prices in a table like the one below.
In the column labeled Subtotal, determine the cost of each person’s order.
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
In the column labeled Total Bill, determine the total of each person’s order, including the tip.
Restaurant name:
Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Your name
Friend #1
Friend #2
Friend #3
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
Answer: All four friends would have to share paying the tip and the total so all of them would pay 1/4 of the bill and 1/4 of the tip
Step-by-step explanation: divide the bill and tip between the 4 friends and you get 1/4 which is how much of the bill and tip that all you and the friends have to pay
the angle bisectors of a triangle intersect at the
Answer:
The incenter
Step-by-step explanation:
The three angle bisectors of the angles of a triangle meet in a single point, called the incenter
Graph this inequality:
y ≤ 1/4x
In the equation y=14x what is the constant of proportionality.
i need help on this last question
HELP ANSWER ASAP
ANSWER???
A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.
Help me plzzzz!! It is math and I have to walk the number line. And i don't know how to do it!
Answer:
1 is 13
2 is 13
3 is -7
4 is 7
Step-by-step explanation:
The emotional atmoshere a reader sences in a poem or story is referred toas its
Suppose y varies jointly as × and z. What is y when × = 2 and z = 3, if y = 20 when × = 4 and z = 3?
Answer:
y = kxz
Step-by-step explanation:
(Find K)
20 = k(4) (3)
20/12 = k
k = 5/3
(Find Y)
y = (5/3)(2)(3)
y = 10
I hope this helps.
Please help me with this homework …
Julio is buying tickets for a football game from an online retailer. Tickets Inc. charges a fee of 6.75% per ticket and Max Tickets charges a flat fee of 55 per ticket. It
the tickets cost $79.50 each, from which retailer should Julio buy the tickets to pay a lesser ticket fee?
Answer:
Buy from Tickets Inc.
Step-by-step explanation:
Transform y = cot(x) to get the graph of. Which type of transformation is not performed? vertical shift horizontal shift vertical stretch horizontal stretch.
Transformation involves changing the form of the function
The transformation that is not performed is (a) vertical shift
The function is given as:
[tex]\mathbf{y = cot(x)}[/tex]
From the complete question, the transformed function is:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
On y = cot(x); start by translating the function 2 units left.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]
So, we have:
[tex]\mathbf{y = cot(x + 2)}[/tex]
Next, stretch the function horizontally by a factor of 1/5
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]
So, we have:
[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]
Lastly, stretch the function vertically by a factor of 3
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
From the above transformations, we have:
Horizontal shift Vertical stretch Horizontal stretchHence, the transformation that is not performed is (a) vertical shift
Read more about transformations at:
https://brainly.com/question/13801312
Answer:
vertical shift
Step-by-step explanation:
edge
look at screenshot if you answer correct I will mark brainliest help now.
Answer:
Step-by-step explanation:
point-slope form: y-y₁=m(x-x₁)
x₁= -5
y₁= 3
m= 5
y-3=5(x+5)
Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment AB¯¯¯¯¯ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)
Answer:
A. (8 2/5, 8 2/5)
Step-by-step explanation:
You want to find point P such that ...
AP : PB = 2 : 3
3AP = 2PB . . . . . . . . cross multiply
3(P -A) = 2(B -P) . . . recognize length XY = Y - X
5P = 3A +2B . . . . . collect P terms
P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5
P = (8 2/5, 8 2/5) . . . . matches choice A
Hello can someone pls help me with this
Answer:
simple y=5x
Step-by-step explanation:
This is because y and x are the same because anything times 0 is 0 and when x becomes 1, 1*5=5 and that continues the chain
please help im failing
Statement
∠1 = ∠2
Reason(1): l║m, Corresponding angles are congruent
Reason(2): Corresponding angles are congruent (Postulate)
Hope this can help
We have to prove how j||k?
As <1=<2 Theya are opposite interior angles .<1 and <4 are corresponding angles so they are equal .Hence
J||K ProvedIf y + 6 = 45, then y = 39
Answer:
True!
Step-by-step explanation:
Given that ∠3≅∠5 .
Which theorem proves that d∥e?
alternate exterior angles theorem
converse of the alternate interior angles theorem
converse of the alternate exterior angles theorem
alternate interior angles theorem
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
From the given figure ∠3≅∠5.
What are alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
From the given figure, 46° + ∠3 =180°
⇒ ∠3 =134°
∠3 = ∠5 =134° (alternate interior angles)
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
https://brainly.com/question/28380652.
#SPJ2
Help me with this question
Answer:
Is it for a test
Step-by-step explanation:
HI GUYS COULD YOU PLEASE HELP ME WITH THIS TYSM
Answer:
-13
Step-by-step explanation:
2(-2)-3(3)=
-4-9=
-13
100 people are asked if I drank two 7/10 10 years and 20% of people are you
30/x = 54/81 what value does x have to be to make it true
Answer:
x=45
Step-by-step explanation:
30/x = 54/81
30 = 54/81(x)
x = 30 ÷ 54/81
x=45
Answer:
x = 45
Step-by-step explanation:
30/x = 54/81
~Cross multiply
30 * 81 = 54 * x
~Simplify
2430 = 54x
~Divide 54 to both sides
45 = x
Best of Luck!
Cho hàm số y = (m + 1)x + 3 có đồ thị là đường thẳng d1 và y = 2x - m
có đồ thị là đường thẳng d2
a) (1,5 đ) Tìm giá trị m để d1 song song với d2.
b) (1,5 đ) Với giá trị m tìm được ở câu a, vẽ đồ thị 2 hàm số trên cùng một mặt
phẳng tọa độ.
c) (0,5 đ) Tìm khoảng cách giữa hai đường thẳng trong câu b
Answer:
What language is this
Step-by-step explanation:
Melissa is going shopping. She has no more than $55.00 to spend on new clothes. She wants to buy a pair of pants for $19.95 and some shirts that cost $9.50 each.
Which inequality can Melissa use to determine how many shirts, s, she can buy?
9.5s+19.95≤55
9.5s+19.95≥55
9.5s+19.95<55
9.5s+19.95>55
Answer:
A is the final answer the first option.
Answer:
The answer is (A) 9.5s + 19.95 ≤ 55
I took the K12 Test and got it correct!
Hope this helps!
how do you solve something like this?
Answer:
-24
Step-by-step explanation:
First, use the equation find the value of x. Then, substitutes the value of x into 9x+12.
how long is the Yangtze river
Answer:
3,915 mi
Step-by-step explanation: