Answer:
In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.
Step-by-step explanation:
:3
a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246
So the probability of that is 24,6 %
Good Luck
What is slope ? Help me please
Answer:
Step-by-step explanation:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). there you go.
Solving Systems of Three equations
(please help i will make you brainliest!!!)
Answer:
2) x = -4; y = 0; z = -2
4) x = 4; y = 2; z = 0
Step-by-step explanation:
2)
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4
Add the 2nd and 3rd equations to eliminate y and z.
-4x = 16
x = -4
Substitute x = -4 in first and second equations.
(-4)(-4) - 5y - z = 18
(-2)(-4) - 5y - 2z = 12
-5y - z = 2
-5y - 2z = 4
Multiply first equation by -1 and add to second equation.
5y + z = -2
(+) -5y - 2z = 4
----------------------
-z = 2
z = -2
Substitute x = -4 and z = -2 in first original equation and solve for y.
-4(-4) - 5y - (-2) = 18
16 - 5y + 2 = 18
-5y = 0
y = 0
Answer: x = -4; y = 0; z = -2
4)
4x + 4y + z = 24
2x - 4y + z = 0
5x - 4y - 5z = 12
Add equations 1 and 3 to eliminate y.
9x - 4z = 36 Eq. 1
Add equations 1 and 2 to eliminate y.
6x + 2z = 24 Eq. 2
Multiply Eq. 2 by 2 and add to Eq. 1.
12x + 4z = 48
(+) 9x - 4z = 36
----------------------------
21x = 84
x = 4
Substitute x = 4 into Eq. 1 to solve for z.
9x - 4z = 36
9(4) - 4z = 36
-4z = 0
z = 0
Substitute x = 4 and z = 0 into the first original equation to solve for y.
4x + 4y + z = 24
4(4) + 4y + 0 = 24
4y = 8
y = 2
Answer: x = 4; y = 2; z = 0
* THIS IS A WARM UP*
First level: Easy
What is −12 4/3 + −5 2/1? Write your answer as a mixed number in simplest terms.
Good luck middle schoolers or anyone
=》The answer is -61/3 = -20.333
Steps are in the attachment.
Note :-
=》The LCM is 3.
_______
Hope it helps ⚜ :))
chip and dip magazines ratio of men to women subscribers is 5 to 8 if they have 75000 women how many men
Answer:
46875
Step-by-step explanation:
Men :Women = 5 : 8
Total parts = 5+8 = 13
Total number be x
[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]
Number of men = 121875 - 75000 = 46875
2x+5=12 i don´t know what the value of x is
Answer: X = 7/2 or 3.5
The cost of videotaping a basketball tournament is modeled by the function f(x) = 20x + 350 where x represents the cost of each video. What is the rate of change for this scenario ?
Step-by-step explanation:
the factor of x : 20 or 20/1
that means with each additional videotaping (number of tapings goes up by +1) the cost goes up by +20.
can someone please help me with this i have 2 questions so yeah..
1.Natalie and her friends decided to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, and 4 people are members. What is the total cost for the party?
medium sodas cost $1.25 and hot dogs cost $2.50
2. Natalies group brought in pizzas, but is buying the drinks at the concession stand. How many medium sodas can Natalies group buy with $20? Make a table to show your answer.
Answer:
1. Hence, the answer is $74.50
2. Hence, the answer is 16.
Step-by-step explanation:
1. Given: Natalie and her friends decide to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, adn 4 people are members.
To find: What is the total cost for the party?
Solution:
Since Natalie and her friends wanted to rent four lanes, we need to calculate this at REGULAR cost.
4 * 9 .75 = 39
Now since 10 people want to rent shoes, and 4 people are members, we subtract.
10 - 4 = 6
6 nonmembers
4 members
6 times the amount of shoe rental for 6 * 3.95 - 23.70
non members
4 times the number of members shoe rental 4* 2.95
11. 80
Now add the quantities
39 + 11.80 + 23.70 += 50.80 + 23.70 =
74.50
Now, our answer is 74.50
2.
Solution:
20 / 1.25 = 16
So the possible amount that can be bought is 16 medium sodas.
find the equation of the line passing through (3,-6) with the gradient of -1/2
Answer:
2y+x+9=0
Step-by-step explanation:
eqn is given by
[tex]m = \frac{y - y1}{x - x1} [/tex]
given
[tex] - \frac{1}{2} \: as \: m[/tex]
and
[tex]{3 \: and \: - 6} \: as \: x \: and \: y \: respectively[/tex]
subtitute values into the formula
[tex] - \frac{1}{2} = \frac{y - - 6}{x - 3} [/tex]
cross multiply giving
[tex] - 1{x - 3}= 2{y + 6[/tex]
[tex] - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0[/tex]
Pls help me
On June 1, Mary had a balance of $50 in her bank account. During June she made the four transaction below.
Deposited $25.62
Withdrew $19.76
Wrote a check for $56.29
Paid a bank fee of $25
If there were no other transaction, what was the balance in Mary's account at the end of the month?
Answer:
The balance in Mary's account at the end of the month is $14.09
Step-by-step explanation:
Step 1: 50+25.62=75.62
Step 2: 75.62+19.76=95.38
Step 3: 95.38-56.29=39.09
Step 4: 39.09-25= $14.09
Can you help me on this math questions. Correctly thanks.
1.
In this equation, 2x + 6 has to be greater than or equal to y. You must substitute each coordinate into the equation and evaluate to find the correct answer. In this case, the answers are (-10, -20) and (7, 14).
2.
Same goes for this problem. The answers are (11, -32) and (-6, -2).
3.
Since we are given the line equation, we just determine the operator to use. Because it is a dotted line, that means that the point on the line is not included, so we will use a regular <>. Because the space highlighted indicates that -10x - 6 will always be greater than y, the answer is y < -10x-6, or C.
4.
We are given the line equation here as well. Since the boundary line is not dotted, we include the values, meaning we use [tex]\leq \geq[/tex]. Since the highlighted space indicates that y is always greater than or equal to x-5, the answer is [tex]y\geq x-5[/tex], so the answer is B.
Find the value of x
Answer:
11
Step-by-step explanation:
2x - 6 = 16 (Based on similarity)
2x = 16 + 6
2x = 22
x = 22/2
x = 11
[tex]3\frac{3}{4} +8\frac{3}{4}[/tex]
What is the correct equation to solve for X?
Determine whether these two ratios
form a proportion:
8/10 and 24/30
Write the equation of the line from the graph.
Answer: x=-5
Step-by-step explanation:
Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer
Answer: X= -5
Step By-Step explantation:
what do you guys think the answer is?
Explanation:
Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.
To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.
To go from A to D, we do the following steps
move to the right 9 spacesmove up 6 spacesCut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.
To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.
Everything is marked in the diagram below.
A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0. 4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2. 5 hours. Which of the following is the most restrictive level that would validate his claim? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.
Answer:
1%
Step-by-step explanation:
0.4X2.5=1
What is -5/6 – (-5/6)?
Answer:
0
Step-by-step explanation:
-5/6 - (-5/6)
Negative times a negative is a possitive
-5/6 + 5/6
0
Hopes this answers your question. :)
Answer: 0
Step-by-step explanation:
-5/6 - -5/6 =
-5/6 + 5/6 =
-5 + 5
6
= 0/6
=0
3x−7= Can you Guys help
Answer:
not sure
Step-by-step explanation:
Answer:
x= 7
3
Step-by-step explanation:
find x by making the subject of formula
3x=7x = 7 3I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.
Answer:
tan 72 = 6/x
OR
cos 72 = x/15
Step-by-step explanation:
A good way to remember trig ratios is this
SOH CAH TOA -
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
You can find x in a few different ways.
If you did tangent, it would be
tan 72 = 6/x (because tangent is opposite over adjacent)
Or, there's also the pythagorean theorem...
Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
12 weeks
Step-by-step explanation:
I will use x to describe the amount of weeks.
200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)
Now, just solve for x.
80.10x = 961.2
x = 12
5/7 of a number is 55
work out the number.
please help with this question
Answer:
77
Step-by-step explanation:
Hope this helps..
Good luck.
Evaluate the formula t=
x−μ
s
n when μ=117, n=28, x=113, and
Work Shown:
[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]
In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).
What’s the remainder of 3,231 / 7
solve, (you can use long division if needed) <3
Answer:
4.9 inches
Step-by-step explanation:
78.4 diveded by 4
19.6 divided by 4
=4.9
Hi there- kinda confused on this
Which point could be used to find f(2)?
point A will represent the input-output values of the function.
What is number line ?
Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.
In the graph of y = f(x),
For every x-value (input value), value of the function is the y-value (output value).
For the input value x = 2,
Output value of the function will be,
y = f(2)
Therefore, point A will represent the input-output values of the function.
check and know more about function here :
https://brainly.com/question/12431044
#SPJ2
HELP PLEASE DONT GIVE THE WRONG ANSWER
Answer:
120 minutes
Step-by-step explanation:
find the LCM
first find the GCF using prime factorization
15=3*5 12=2*2*3 10=2*5
GCF is 5 and 2 respectively
remove from each and multiply
3*2*2*2*5=120
A. Wealth
B. Level of living
C. liquidity
D. Assets
Answer:
D: assets.
Step-by-step explanation: