Answer: 10/21
Step-by-step explanation:
From the question, we are told that two urns both contain green balls and red balls. Urn I contains 4 green balls and 8 red balls and Urn II contains 2 green balls and 5 red balls.
Urn 1 contains 4 green balls and 8 red balls. This means that the probability of drawing a red ball in urn 1 will be 8/12 = 2/3.
Urn II contains 2 green balls and 5 red balls. This means that the probability of drawing a red ball in urn 2 will be 5/7
Since we've the probability of drawing a red ball from both urns, we then multiply them together. This will be:
= 2/3 × 5/7
= 10/21
-2
n is an integer.
What are the possible values of n?
A
-2, -1, 0, 1, 2, 3, 4, 5, 6
B
-1, 1, 2, 3, 4, 5, 6
C
-2, -1, 0, 1, 2, 3, 4, 5
D
-2, -1, 0, 1, 2, 3, 4, 5, 6, 7
-1, 0, 1, 2, 3, 4, 5, 6
PLS ANYONE HELP NEEDS ANSWER FOR TODAY
Answer:
E. -1, 0, 1, 2, 3, 4, 5, 6
Step-by-step explanation:
In order to correctly determine the possible values of n, first let's understand what -2 < n ≤ 6.
Let's write out the given statement in words. We have, -2 is less than (<) n, and n is equal to or less than (≤) 6.
It means, the possible values of n lies between -1 up to 6.
Thus, they are: -1, 0, 1, 2, 3, 4, 5, 6
The answer is E
PLS ANSWER MY QUESTION!
Answer:
A variable cubed: [tex]x^3[/tex]
Quotient of some number and 3: [tex]b / 3[/tex]
Product of an unknown number and 3: [tex]3a[/tex]
Three less than a variable: [tex]y- 3[/tex]
Three more than some number: [tex]z +3[/tex]
Step-by-step explanation:
A variable cubed:
This implies that a variable multiplied by itself in 3 places
From the list of options, [tex]x^3[/tex] answers this question because;
[tex]x^3 = x * x * x[/tex]; i.e. x multiplied by itself in 3 places
Quotient of some number and 3: [tex]b / 3[/tex]
The quotient of a number means the division of a number by another number;
Represent the number with b;
When divided by 3; the quotient is [tex]b / 3[/tex]
Product of an unknown number and 3: [tex]3a[/tex]
This means 3 multiplied by a number;
Represent the unknown number with a;
This implies that
[tex]3 * a = 3a[/tex]
Three less than a variable:
This means that we subtract 3 from a variable;
Represent the variable with y
This implies that
[tex]y - 3[/tex]
Three more than some number:
This means that we add 3 to a variable;
Represent the variable with z
This implies that
[tex]z + 3[/tex]
Please help ASAP!! Will give brainliest
Answer:
y^12/5
Step-by-step explanation:
(9x^(5)y^(16))/(45x^(5)y^(4))
y^12/5
Here is a easy question: What is the mean of the data set {32,20,40,44,21,38}?
Answer:
32.5.
Step-by-step explanation:
32 + 20 + 40 + 44 + 21 + 38 = 52 + 84 + 59 = 195
There are 6 terms in the data set.
195 / 6 = 65 / 2 = 32.5.
Hope this helps!
Answer:
Isn't it 6?
Step-by-step explanation:
Divide. Simplify(or reduce) 32 dived by seven eights
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?
Answer:
x = 4
Step-by-step explanation:
We would like to find the value of x such that:
2x + 1 = (8x + 5) + 20
Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.
Now, we simply solve for x:
2x + 1 = 8x + 5 + 20
2x + 1 = 8x + 25
6x = 24
x = 4
The answer is thus 4.
~ an aesthetics lover
Answer:
x = -4.
Step-by-step explanation:
The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.
2x + 1 = 8x + 5 + 20
2x - 8x = 25 - 1
-6x = 24
x = -4
Hope this helps!
Find the missing factor. Write your answer in
exponential form.
9^-6= (?) • 9^-2
Answer:
9^-4
Step-by-step explanation:
9^-6=?*9^-2
Let the unknown=x
9^-6=x*9^-2
9^-6=9^-2(x)
x=1/9^6÷1/9^2
=1/9^6×9^2/1
=9^2/9^6
x=1/9^4
x=9^-4
Check
9^-4*9^-2
=9^-4-2
=9^-6
Speed. One car travels 12 mph faster than another. While one car
travels 141 mi, the other travels 105 mi. How fast is each car
traveling?
Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.
Step-by-step explanation:
Here you must remember the relation:
Speed = distance/time.
So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.
We know that:
Sa = Sb + 12mph.
and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:
Sa*T = 141mi
Sb*t = 105mi
we can take the quotient of those two and get:
(Sa/Sb) = 141/105.
now we can replace Sa by Sa = Sb + 12mph.
(Sb + 12mph)/(Sb) = 141/105.
Sb + 12mph = (141/105)*Sb
Sb*(141/105 - 1) = 12mph
Sb = 12mph/(141/105 - 1) = 35mph.
and we know that:
Sa = Sb + 12mph = 35mph + 12mph = 47mph.
The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters. A circle is shaded blue. A small unshaded square is at the center of the circle.
Answer:
31/40
Step-by-step explanation:
The question is incomplete. Here is the complete question with appropriate diagram.
The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.
What is the probability that a point chosen at random is in the blue region?
Given the area of the circle to be 314cm², we need to get the diameter of the circle first since the diameter of the circle is equivalent to length of the side of the square inscribed in it.
Using the formula Area of a circle = πr²
314 = 3.14r²
r² = 314/3.14
r² = 100
r = 10 cm
Diameter of the circle = 2*10 = 20 cm
Area of a square = Length * length
Area of the outer square = 20*20 = 400cm²
Area of the inner square with side length 2cm = 2*2 =4cm²
Area of the shaded region = Area of the square - Area of the inner square
= 314-4 = 310cm²
The probability that a point chosen at random is in the blue region = Area of the shaded region/total area of the outer square
= 310/400
= 31/40
Answer: its 2/157
Step-by-step explanation: edg 2020
Choose the biconditional statement that could be based on the following: P → Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. Q → P: If its opposite sides are parallel, then a quadrilateral is a parallelogram. Question 1 options: A) P ↔ Q: A quadrilateral is a parallelogram if and only if its opposite sides are parallel. B) P ↔ Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. C) ∼P → ∼Q: If a quadrilateral isn't a parallelogram, then its opposite sides aren't parallel. D) P → P: If a quadrilateral is a parallelogram, then it's a parallelogram.
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA Q⇔P
Step-by-step explanation:
A biconditional statement puts a conditional statement in If and Only if form. it does not negate or switch the hypothesis or conclusion.
The symbol is q arrows going both ways (⇔) p
Hope this helps!!
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA QtoP
Step-by-step explanation:
2m^2? + 10 = 210
Answer plssss
Answer:10
Step-by-step explanation:subtract 10, divide by 2, then do sqrt of 100
Dividing Polynomials Divide x^5+15x^4+54x^3−25x^2−75x−34 by x+8 You must show all of your work to receive credit.
Answer:
Step-by-step explanation:
You can ask me ıf you don't understand :)
**true or false**
all functions are relations but not all relations are functions
explain
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
ab is x-4 cb 3x-8 what is AC
Answer:
The length of AC is [tex]4x-12[/tex]
Step-by-step explanation:
Length of AB =[tex]x-4[/tex]
Length of CB = [tex]3x-8[/tex]
We are supposed to find the length of AC
So, length of AC = AB +CB
[tex]AB = x-4[/tex]
[tex]BC = 3x-8[/tex]
Length of AC = [tex]x-4+3x-8[/tex]
Length of AC = [tex]4x-12[/tex]
So, AC=[tex]4x-12[/tex]
Hence The length of AC is [tex]4x-12[/tex]
7. Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in each step. 5(x – 4) + 3x – 9x + 7 Step 1: Rewrite the subtraction operations as addition of negative numbers. (1 point) Step 2: Use the distributive property. (1 point) Step 3: Use the commutative property of addition to reorder terms so that like terms are together. (1 point) Step 4: Use the associative property of addition to group like terms. (1 point) Step 5: Simplify. (1 point)
Answer:
-x + -13
Step-by-step explanation:
Rewrite: 5(x – 4) + 3x – 9x + 7
Step 1: 5(x + –4) + 3x + –9x + 7
Step 2: 5x + -20 + 3x + –9x + 7
Step 3: 5x + 3x + –9x + -20 + 7
Step 4: -1x + -13
Step 5: -x + -13
Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)
Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex]
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it [tex]x\in {R-3}[/tex]
Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]
[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.
Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]
Hence, Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex] is for option D.
Answer:
OPTION D IS NOT CORRECT.
i took the test & selected D and it was wrong.
THE CORRECT ANSWER IS C.
Step-by-step explanation:
what is 10x-3x+2????
Answer:
7x+2
Step-by-step explanation:
Subtract 3x from 10x.
be sure to give me brainliest
Which of the following cannot be a part of a rational expression?
A rational expression is anything of the form P/Q where both P and Q are polynomials. The value of Q cannot be zero. Recall that polynomials cannot have square roots of variables in them. So we cannot have something like [tex]\sqrt{x}[/tex].
You can think of [tex]\sqrt{x}[/tex] as [tex]x^{1/2}[/tex]. The non-whole number exponent is not allowed with polynomials. Only positive whole numbers are allowed as exponents when it comes to polynomials.
Side note: choice C can be written as 4x^0 which is a polynomial (specifically it is a monomial of degree 0, similar to how choice A is as well).
3x² – 4√x cannot be a part of a rational expression. Then the correct option is B.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
If in the expression, there is a square root on any variable, then the expression become irrational or non-rational expression.
3x² – 4√x cannot be a part of a rational expression.
Then the correct option is B.
More about the rational number link is given below.
https://brainly.com/question/9466779
#SPJ2
Where must the fulcrum be located if a 300-pound weight and a 450-pound
weight balance when placed on each end of a 15-foot bar
Answer:
9 foot.
Step-by-step explanation:
From the question given, we were told that a 300-pound weight and a 450-pound weight are placed on each end of a 15-foot bar.
The diagram illustrating the question can be seen on the attached photo.
Weight 1 (W1) = 300 pound
Weight 2 (W2) = 450 pound.
Distance to which the fulcrum must be placed in order to balance (d1) = x
Distance from the other side of the bar (d2) = 15 – x
W1d1 = W2d2
300 × x = 450 (15 – x)
Clear bracket
300x = 6750 – 450x
Collect like terms
300x + 450x = 6750
750x = 6750
Divide both side by the coefficient of x i.e 750
x = 6750/750
x = 9 foot.
Therefore, the fulcrum must be placed at 9 foot in order to balance the bar.
A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (13.5, 14, 20 , 28) meters and the total length of the carpet is (25.5, 26 ,32 ,40) meters. which number in the () is correct?
Answer:
28 meters.
40 meters.
Step-by-step explanation:
Let x be the length of the larger piece, then we have:
1/4 x + 5 = 12
1/4 x = 12 - 5
1/4 x = 7
Multiply both sides by 4:
x = 28 meters.
The total length of the carpet = 12 + 28 = 40 meters.
The length of bigger piece is 28 and the total length of carpet is 40.
How to find the length of object from problem statement -By the problem,
A machine cuts a strip of carpet into two pieces.
Given, length of smaller piece is 12 meters .
Also given, length of smaller piece = 5 + 1/4 (length of larger piece)
⇒ Length of larger piece = 4*(length of smaller piece - 5) meters
= 4*(12 - 5) meters
∴ Length of larger piece is = 28 meters
Thus the total length of carpet is = length of larger piece + length of smaller piece .
∴ Total length of carpet is = (28 + 12) meters = 40 meters
The length of bigger piece is (28)
The total length of carpet is (40)
To learn more about statement problem, refer -
https://brainly.com/question/18648288
#SPJ2
From the graph y = 10/x^2 shown below, what happens to the y- values as the negative x- values get closer to zero?
a.
They increase
c.
They stay the same
b.
They decrease
d.
cannot be determined from the graph
Answer: a
Step-by-step explanation:
if you look on the x axis and go from the far left to 0 you can see the y values go up and increase.
The y- values as the negative x- values get closer to zero is they decrease the correct option is B.
How to find the function which used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The function= y = 10/x^2
Now,
As x gets closer to 0 from the negative side, x becomes a larger negative number in magnitude. When we substitute a large negative value for x in y = 10/x^2, the square of this negative number becomes a large positive number, and the fraction 10/x^2 becomes a small positive number.
For example, if we substitute x = -2 into y = 10/x^2, we get:
y = 10/(-2)^2 = 10/4 = 2.5
If we substitute x = -10 into y = 10/x^2, we get:
y = 10/(-10)^2 = 10/100 = 0.1
Therefore, by the graphed function the answer will be they decrease.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ7
Help, I don't understand
Answer:
5 hours 24 minutes
Step-by-step explanation:
the speed is :279/4.5 = 62 miles per hour (mph)
if he continues on the same speed : 325/62=5 16/62 or 5 hours 24 minutes
hope it works
The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the angles.
Answer:
The measure of the angle will be 25°
Step-by-step explanation:
when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.
Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).
The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°. we will get 310. The angles will be 310/2 = 155°. Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.
Answer:
25 degrees
Step-by-step explanation:
justt trust me
Some points were initially placed on a line. After that, a point was inserted between each pair of neighboring points. After that, such an insertion was repeated two more times. 113 points are on the line as a result. How many points were placed on the line initially?
Answer: The initial number of points on the line was 15.
Step-by-step explanation:
8n-7=113
8n=120
n=15
Answer:
15 points
Step-by-step explanation:
Initial number of points= x
It can be added 1 less points between the existing ones, so:
Step 1
added x-1, and number of points become x+x-1= 2x- 1Step 2
added 2x-1-1= 2x-2 and number of points become 2x-1+2x-2= 4x-3Step 3
added 4x-3-1= 4x-4 and finally we have 4x-3 + 4x-4= 8x -7 pointsNow,
8x-7= 1138x= 120x=120/8x=15Number of initial points is 15
How many different 2-digit numbers are there with the following property: each of them has at least one digit 7?
Answer:
18 numbers
Step-by-step explanation:
These are all the two digit numbers with at least one 7.
17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.
Answer:
The correct option is D
D) the height of the rock 3.2 seconds after it is propelled
Question:
The question is incomplete as it doesn't say what to find. I know that whole question which is given below
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?
A) the height of the rock 3.2 seconds before it reaches the ground
B) the time it takes the rock to reach the ground, or 3.2 seconds
C) the time it takes the rock to reach a height of 3.2 meters
D) the height of the rock 3.2 seconds after it is propelled
Solution:
h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.
Which is the correct way to show that (2, 3) is a solution to the following system of
inequalities?
y - X > - 4
2y - 5
1. 3 - 2 > -4 TRUE
2(3) – 5 < 2 TRUE
2. 3 - 2 > - 4 TRUE
2(2) – 5 < 3 TRUE
3. 2 - 3 > - 4 TRUE
2(3) - 5 < 2 TRUE
Answer:
Option 1.
Step-by-step explanation:
Note: In second inequality "<x" is missing after 5.
Consider the given inequalities are
[tex]y-x>-4[/tex]
[tex]2y-5<x[/tex]
If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).
Substitute x=2 and y=3 in the above inequalities and that should be true.
[tex]3-2>-4\Rightarrow 1>-4[/tex] True
[tex]2(3)-5<2\Rightarrow 1<2[/tex] True
Therefore, the correct option is 1.
A triangles angle measures are in the ratio 3: 4: 7. Find the measures of the angles
Answer:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Step-by-step explanation:
Vhen 2.0 moles of magnesium reacts, how many liters of oxygen gas, O2, are needed at STP conditions?
- Mg (3) + O2(g) → 2 Mgo (3)
Answer:
22.4 litres
Step-by-step explanation:
Reaction:
2Mg (s) + O2 (g) → 2 MgO (s)
From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2
STP conditions mean:
absolute temperature of 273.15 K absolute pressure of 1 atmUsing the equation of state for ideal gases:
PV = nRT
where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:
V = nRT/P
V = 1*0.082*273.15/1
V = 22.4 litres
PLEASE HELP! 20 POINTS!An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the
table below:
Month
Enrollment
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90
-50
-100 -100 150 -50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit
O No, the equation is not a good fit because the sum of the residuals is a large number
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number
Answer:
The answer would be A
Step-by-step explanation:
I took the test :)
No, the equation is not a good fit because the sum of the residuals is a large number.
The following information should be considered:
A residual refers to the difference on the scatter plot that lies between the actual y-value and the predicted y-value via the regression line equation.The residual should be positive so the data point is above the graph.The sum should be = 4 - 1 - 1 + 1 - 1 - 1 = 1It is greather than zero.learn more: https://brainly.com/question/10046743?referrer=searchResults