if two fair coins are tossed simultaneously, what are the chances of both coming up 'heads'?
Answer:
i think 1/4
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
We name the coins coin 1 and coin 2 for the sake of simplicity.
There are four possible situations:
coin 1 head, coin 2 head
coin 1 head, coin 2 tails
coin 1 tails, coin 2 head
coin 1 tails, coin 2 tails
Only case 1 results in both 'heads'. So the probability is 1/4.
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
PLEASE HELP. I don't understand! I will give brainliest!
Below is a graph that contains the lines for all the above equations. Find the line that represents each equation, based on the ordered pairs, and write the equation next to each letter for the line that it represents.
What is the equation for A, B, and E?
Answer:
A is Y equally X
B is X equally 2
E is Y equally -5
4x-4y+4z=8
9x+3y+z=6
16x+4y+z=2
9514 1404 393
Answer:
(x, y, z) = (-1, 3, 6)
Step-by-step explanation:
The augmented matrix for the system is ...
[tex]\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right][/tex]
Your graphing or scientific calculator can tell you the solution to this system is ...
(x, y, z) = (-1, 3, 6)
__
If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...
x -y +z = 2
This can be subtracted from the other two equations to eliminate z.
(9x +3y +z) -(x -y +z) = (6) -(2) ⇒ 8x +4y = 4
(16x +4y +z) -(x -y +z) = (2) -(2) ⇒ 15x +5y = 0
These two equations can be reduced to standard form:
2x +y = 13x +y = 0Subtracting the first equation from the second, we have ...
(3x +y) -(2x +y) = (0) -(1) ⇒ x = -1
Substituting into the first gives y:
2(-1) +y = 1
y = 3 . . . . . . . add 2
Then we can find z from the reduced first equation above:
z = 2 -x +y = 2 -(-1) +3 = 6
Then the solution is (x, y, z) = (-1, 3, 6).
simplify this algbraic expression completely 5y-3(y+2)
Answer:
2y - 6
Step-by-step explanation:
5y - 3(y + 2)
distribute
5y + (-3 * y) + (-3 * 2)
simplify
5y -3y + ( -3 * 2)
5y - 3y + ( -6)
5y - 3y - 6
combine like terms
5-3 = 2
2y - 6
A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is 89 . The total cost to rent 2 chairs and 3 tables is 34 . What is the cost to rent each chair and each table?
Answer:
Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together 4C + 8T = 73-4C - 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Step-by-step explanation:
Please help me solve this !:)
Explain your answer
I will give braisnlt . Oh
Answer:
D
Step-by-step explanation:
A is incorrect because if 1 x value corresponds to multiple y values, it is not a function
B is incorrect for the same reason as a
C is incorrect because it is linear
D is correct because 1.) all of the others are wrong, and 2.) it is nonlinear.
boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon
Answer:
7:10 or 3:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
7:10 h
Look at this please i dont need help im just trying to tell everybody something
Answer:
ok
Step-by-step explanation:
PLEASE HELP (this is all my points I’ll mark brainlist anything please help)
Answer:
I believe that it would be A+C+S but is there more to the question?
Step-by-step explanation:
omg
Step-by-step explanation:
There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.
a. normal
b. uniform
c. binomial
d. exponential
Answer:
d.exponential is answer
Step-by-step explanation:
I hope it's helpful!
9 + 7b - 666 +268 The polynomial in standard form
Answer:
7b-389
Step-by-step explanation:
This is the polynomial in standard form. Hope this helps!
2y-x=8 and y-2x=-5. Solve the system of equations
Answer:
y = 7 x = 9
Step-by-step explanation:
2y-x=8
2(2y-x=8)
4y-2x=16
-(y-2x= -5)
3y +0x= 21
3y=21
y=7
2(7)-x=8
14-x=8
9=x
Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 7 comedies, 7 mysteries, and 5 horror films. How many different combinations of 9 movies can he rent if he wants all 4 children's movies
Answer:
6188
Step-by-step explanation:
Number of children's movies = 4
Number of comedy movies = 7
Number of mystery movies = 7
Number of horror movies = 5
Total number of movies to be rented = 9 out of which 4 are fixed to be children's movies
To find:
Number of different combinations to rent 9 movies out of which 4 are children's movies
Solution:
Number of movies left to be rented = 9 - 4 = 5
Number of movies left out of which these 5 are to be rented = 7 + 7 + 5 = 17
Now, there are a total of 17 movies out of which 5 are to be selected.
Therefore, we can use:
[tex]_nC_r = \dfrac{n! }{r!(n-r)!}[/tex]
where, [tex]n = 17[/tex]
[tex]r = 5[/tex]
[tex]_{17}C_5 = \dfrac{17! }{5!(12)!}\\\Rightarrow \dfrac{17.16.15.14.13}{5.4.3.2.1} = \bold{6188}[/tex]
the art students are using clay. Each student needs 9/10
Answer:
ok mam yes mam going to do my clay
please help!! i’ll give brainly
Answer:
1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.
2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.
3: the answer is simply 0
4: y-(1/5*x-10)=0
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
y - ((— • x) - 10) = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
10 10 • 5
10 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (10 • 5) x - 50
———————————— = ——————
5 5
Equation at the end of step
2
:
(x - 50)
y - ———————— = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
y y • 5
y = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
y • 5 - ((x-50)) 5y - x + 50
———————————————— = ———————————
5 5
Equation at the end of step
3
:
5y - x + 50
——————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Hope this helps :)
PLEASE ANSWER ASASP
16d + 5 = -10
what is d?
Answer:
d = -15/16
Step-by-step explanation:
To solve for D, you have to get D alone on one side of the equation (one side of the equal sign).
So get rid of the other numbers that are being added or subtracted to d first. To do that, you have to do the opposite of what is being done.
So u have +5 on the left, you have to minus it to get rid of it. Whatever you do on one side of the equation, you have to do to the other side
so 16d +5 minus 5 = -10 minus 5
the 5 cancels out on the left and -10 - 5 = -15
now you have 16d = -15
Now you have to get rid of the 16. It's being multiplied to d so to do opposite is to divide it by 16. And whatever you do on one side, u have to do on the other.
16d divided by 16 = -15 divided by 16
16d/16 = d -15/16
So d = -15/16
For the expression, value of d is,
⇒ d = - 15/16
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 16d + 5 = - 10
Now, We can solve the expression as;
⇒ 16d + 5 = - 10
Subtract 5 from both side;
⇒ 16d + 5 - 5 = - 10 - 5
⇒ 16d = - 15
Divide by 16 both side;
⇒ d = - 15/16
Therefore, For the expression, value of d is,
⇒ d = - 15/16
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
A recipe asks for 2 1/3 cups cup of flour.
How many cups of flour are needed for 3 1/2 recipes
Answer:
8.17 sorry if its wrong
Step-by-step explanation:
60 is it rocking horse has a weight limit of 60 pounds what percentage of the weight limit is 114 pounds
Answer:
86.4
Step-by-step explanation:
Factorise (3m -2n)^2 +5p(3m - 2n)
Answer: if you factor it you will get this-->(3m−2n)(3m−2n+5p)
Step-by-step explanation:
Help me pleaaase!!!!!!!
Answer: The answer is D.
Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.
Use f(x) = 2x + 7 find f(2)
Answer:
i just want 100 points
Step-by-step explanation:
HAHHA BYE
2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degrees. how far apart are they after 2.5 hours
Answer:
183.27miles
Step-by-step explanation:
Note that we are considering two planes.
Plane 1
Speed = 140 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
140 mph = distance/2.5hrs
Distance = 140×2.5
= 350miles
Plane 2
Speed = 170 mph
Time = 2.5 hours
Distance = ?
Speed = distance/time
170 mph = distance/2.5hrs
Distance = 170×2.5
= 425miles
The angle between side is 25 degree
From cosine rule
c^2 = a^2 + b^2 − 2abcos(tetha)
Where a = 350
b = 425miles
c^2 = 350^2+425^2-2(350×425)(cos25)
c^2 = 122500+180625-297500(0.906)
c^2 = 303125-269535
c^2 = 33590
C = √33590
C = 183.27miles
The distance they flew apart after 2.5hrs is 183.27miles
Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form
I need help
Answer:
3/5, 4/5, 3/4
Step-by-step explanation:
First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4
The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Calculation of the sine, cosine, and tangent:Here first we determine the BC by applying the Pythagorean Theorem.
[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]
So the BC should be 12
hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Learn more about an angle here: https://brainly.com/question/3401487
I’ll mark you brainliest if you answer
Answer:
A=Pier^2
a=pie2.5^2
a=19.63
A=Pier^2
a=pie2^2
a=12.57
19.63 - 12.57
=7.07
B
Please help solve this. (Answer is not 80)
Answer:
70
Step-by-step explanation:
triangle is 180deg in total thus,
3 3/4 +2 1/8 = ?
n n
The equation y= 12x-9 has its y-intercept at the point
Answer:
-9
Its in the format y=mx+b, where m is the slope and b is the intercept. Also since x is 0 at the y intercept, you could substitute 0 for x and see the intercept
Step-by-step explanation:
Find the percent increase from 85 to 125
Answer: 47.06
Step-by-step explanation: math
LOOK AT PICTURE, THEN ANWSER QUESTION, WHOEVER GETS CORRECT I WILL MARK BRAINIEST:)