Answer:
25/216 or 0.1157
Step-by-step explanation:
The probability of getting a 6 is 1/6.
The probability of not getting a 6 is 5/6
We roll a die 4 times and want 2 sixes, and 2 not sixes.
We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this...
(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157
The long hand way of solving this is to list the 6 ways we can roll our desired result along with their probabilities...
We could get
6, 6, not 6, not 6 (1/6)(1/6)(5/6)(5/6) = 25/1296
6, not 6, 6, not 6 (1/6)(5/6)(1/6)(5/6) = 25/1296
6, not 6, not 6, 6 (1/6)(5/6)(5/6)(1/6) = 25/1296
not 6, not 6, 6, 6 (5/6)(5/6)(1/6)(1/6) = 25/1296
not 6, 6, not 6, 6 (5/6)(1/6)(5/6)(1/6) = 25/1296
not 6, 6, 6 not 6 (5/6)(1/6)(1/6)(5/6) = 25/1296
There are 6 different way this can happen, each having a probability of 25/196. We add up the probabilities, getting 150/1296, which reduces to
25/216
Answer:
11.6%
Step-by-step explanation:
[tex]\frac{4!}{2!\left(4-2\right)!}\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^2 = 0.116 = 11.6[/tex]
Well i forgot so i need help
[tex]2\pi r\\2\pi23\\144.51[/tex]
Answer: 46 in tall for the circle
The perimeter of a rectangle garden is 54 feet. The width is 5 more feet than the length. What is the length of the garden
The Length of the rectangle is 11 ft and the width is 16 ft
a. I, III, II
b. II, I, III
c. II, III, I
d. III, I, II
The logical order for the proof is as follows: [tex]\( \overline{UV} \parallel \overline{WZ} \)[/tex] (Given), [tex]\( m\angle SQV + m\angle VQT = 180^\circ \)[/tex] (Substitution Property of Equality), [tex]\( m\angle SQT = 180^\circ \)[/tex] (Definition of a Straight Angle), and [tex]\( m\angle SQV = m\angle ZRS \)[/tex] (Subtraction Property of Equality). The correct choice is: c. II, III, I
The logical order of statements and reasons in the proof is as follows: First, it's given that [tex]\( \overline{UV} \parallel \overline{WZ} \)[/tex]. Then, by the Substitution Property of Equality, we have [tex]\( m\angle SQV + m\angle VQT = 180^\circ \)[/tex]. The Definition of a Straight Angle is applied to conclude that [tex]\( m\angle SQT = 180^\circ \)[/tex].
The Angle Addition Postulate supports [tex]\( m\angle SQV + m\angle VQT = m\angle SQT \)[/tex]. The Same-Side Interior Angles Theorem establishes [tex]\( m\angle VOT + m\angle ZRS = 180^\circ \)[/tex]. Using the Substitution Property of Equality, [tex]\( m\angle SQV + m\angle VQT = m\angle VQT + m\angle ZRS \)[/tex]. Finally, the Subtraction Property of Equality yields [tex]\( m\angle SQV = m\angle ZRS \)[/tex], and, by the Definition of Congruency, [tex]\(\angle SQV = \angle ZRS\)[/tex].
The correct answer is:
c. II, III, I
For more questions on Substitution Property:
https://brainly.com/question/30239463
#SPJ6
This is the equation of a quadratic function. y−2x2=−3 Which statement describes the graph of the function? Question 2 options: The graph opens upward and has a maximum value of –3. The graph opens upward and has a minimum value of –3. The graph opens downward and has a minimum value of –3. The graph opens downward and has a maximum value of –3.
The graph opens upward and has a minimum value of –3
Which statement describes the graph of the function
From the question, we have the following parameters that can be used in our computation:
y - 2x² = -3
This can be expressed as
y = 2x² - 3
The above has a positive leading coefficient
This means that it opens up
And as such it has a minimum and no maximum
Using the above as a guide, we have the following:
The graph opens upward and has a minimum value of –3
The figure shows two triangles on the coordinate grid:
What set of transformations is performed on triangle ABC to form triangle A’B’C’
Its the third option :)
Answer: the correct option is
(D) A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.
Step-by-step explanation: We are given two triangles ABC and A'B'C' on the co-ordinate grid.
We are given to select the set of transformations is performed on triangle ABC to form triangle A’B’C’.
From the graph, we note that
the co-ordinate of the vertices of triangle ABC are A(-4, -1), B(-3, -1) and C(-4, -4).
And, the co-ordinates of the vertices of triangle A'B'C' are A'(-1, 1), B'(-2, 1) and C'(-1, 4).
We know that if a point (x, y) is translated 5 units right, followed by a rotation of 180-degrees clockwise about the origin, then its new co-ordinates becomes
(x, y) ⇒ (-x-5, -y).
So, after these two transformations, the co-ordinates of the vertices of triangle ABC will become
A(-4, -1) ⇒ (4-5, 1) = (-1, 1),
B(-3, -1) ⇒ (3-5, 1) = (-2, 1)
and
C(-4, -4) ⇒ (4-5, 4) = (-1, 4).
The new co-ordinates are the co-ordinates of the vertices of triangle A'B'C'.
Thus, the required set transformations is
A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.
Thus, option (D) is CORRECT.
Did I set up the equation right? Please help me.
Yes you did a little reminder for you from me is that c^2 will ALWAYS be across from the right angle(90 degree)
What is the discriminant of 9x^2+2=10x^2
Answer:
8
Step-by-step explanation:
To find the discriminant, we need to get the equation in standard form
9x^2+2=10x^2
Subtract 10x^2 from each side
9x^2-10x^2+2=10x^2-10x^2
-x^2 +2 =0
This is in the form ax^2+bx +c =0
where a=-1 b=0 and c=2
The discriminant is
b^2 -4ac
0^2 -4*(-1)*2
0+8
The discriminant is 8
lenear programming equation
Answer: Its where the variable functions matches an output, for example *(modelvariable)=(output((x))
Step-by-step explanation:
Answer:
Linear programming
Linear programming is a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming.
Step-by-step explanation:
Use 12 x 5 = 60 and 12 x 2 = 24 to help you multiply 12 x 7.
Uh... 84 is correct. Add 60 & 24 and you get 84. Hopefully that helps
Answer:
84
Step-by-step explanation:
12*7=84
12*5=60
7-5=2
84-60=24
how much money must be deposited now in an account paying 7% annual interest compounded yearly to have a balance of $1000 after 6 years
To find out how much money must be deposited now in an account paying 7% annual interest compounded yearly to have a balance of $1000 after 6 years, we can use the formula for compound interest. Plugging in the values given, we get an approximate deposit of $665.58.
Explanation:To find out how much money must be deposited now, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the future value, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, we have A = $1000, r = 7% (or 0.07), n = 1 (compounded yearly), and t = 6 years. Plugging in these values, we can solve for P:
A = P(1 + r/n)^(nt)
$1000 = P(1 + 0.07/1)^(1 * 6)
$1000 = P(1 + 0.07)^6
$1000 = P(1.07)^6
$1000 = P(1.5037)
P ≈ 1000 / 1.5037
P ≈ 665.58
Therefore, approximately $665.58 must be deposited now to have a balance of $1000 after 6 years.
solve the inequality -5x<15
x > -3 divide by -5 on both sides and then switch the sign bc everytime u divide by a negative number u have to switch the sign
Answer:
x < -3
Step-by-step explanation:
All you have to do is divide -5 on both sides.
-5x < 15
------ ------
-5 -5
x < -3
Sometimes, you might have to flip the < sign. So it will be like:
x > -3
If you want to graph the inequality, here's how it will look:
(Graph shown on bottom of answer)
Mathematics is a great, beautiful, and important thing in life! With math, you can do anything when you out your mind to it!
- Jamal Josecite
8th Grade Student
(Please give me brainliest! I need to level up!)
A school is arranging a field trip to the zoo. The school spends 654.36 dollars on passes for 34 students and 4 teachers. The school also spends 303.96 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
The school spent approximately $26.16 per student for a zoo pass and lunch during their field trip.
Explanation:The total amount spent on passes for the 34 students and 4 teachers is $654.36. The total amount spent on lunch for just the students is $303.96. It means for each student, the school spent a combined amount on passes and lunch. To find this, first, we need to identify how much was spent per student for the pass, then add this to the amount spent per student on lunch.
First, we calculate the cost of a pass for each student. Since the total cost of passes is for both students and teachers, we need to find only the cost for the students. We accomplish this by subtracting the teachers’ share. It assumes the cost of a pass for a student and a teacher is the same.
The cost per person (student or teacher) for the pass is: $654.36 / (34 students + 4 teachers) = $654.36 / 38 = $17.22 (approximately, rounding to the nearest penny).
To determine the cost per student for lunch, we just need to divide the total lunch cost by the number of students: $303.96 / 34 = $8.94 (approximately).
In the end, the total cost per student for both the pass and lunch is: $17.22 + $8.94 = $26.16
Therefore, the school spent approximately $26.16 per student for a zoo pass and lunch.
Learn more about Cost per student here:https://brainly.com/question/33678156
#SPJ12
The school spent approximately $17.22 on passes and $8.94 on lunch for each student.
Now, let's plug in the values and calculate:
Step 1:
Total spent on passes = $654.36
Step 2:
Amount spent on passes for teachers = 4 * (Amount spent on each teacher's pass)
To find the amount spent on each teacher's pass, divide the total spent on passes by the total number of passes.
Step 3:
Calculate the amount spent on passes for students.
Number of students = 34
Number of teachers = 4
Total number of passes = 34 + 4 = 38
Amount spent on each pass = Total spent on passes / Total number of passes
[tex]\[Amount\ spent\ on\ each\ pass = \frac{654.36}{38}[/tex] ≈ 17.22
Step 4:
Find the total amount spent on lunch for students.
Total spent on lunch for students = $303.96
Step 5:
Calculate the amount spent on lunch for each student.
[tex]\[Amount\ spent\ on\ lunch\ for\ each\ student[/tex] = [tex]\frac{303.96}{34}[/tex] ≈ 8.94
So, the school spent approximately $17.22 on passes and $8.94 on lunch for each student.
the combined area of two squares is 45 square cm. each side one square is twice as long as a side of the other Square. what is the length of each side of the larger square
Answer: it is 45cm^2
Step-by-step explanation:
it is because it is
how do u change inches into feet
Step-by-step explanation:
[tex]1\ ft=12\ in\to1\ in=\dfrac{1}{12}\ ft\\\\\text{Therefore, if you want to change inches to feet,}\\\text{you must divide the number of inches by 12.}\\\\\text{Examples:}\\\\36\ in=\dfrac{36}{12}\ ft=3\ ft\\\\120\ in=\dfrac{120}{12}\ ft=10\ ft[/tex]
A triangle has sides 42, 4x, and 2x−6. What is the possible range of x?
? < x < ?
Answer:
[tex]8\ units< x < 18\ units[/tex]
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Theorem
case 1) [tex]42+4x > 2x-6[/tex]
[tex]4x-2x > -6-42[/tex]
[tex]2x > -48[/tex]
[tex]x > -24\ units[/tex]
case 2) [tex]42+(2x-6) >4x[/tex]
[tex]42-6 >4x-2x[/tex]
[tex]36 >2x[/tex]
[tex]18 >x[/tex] -----> rewrite
[tex]x<18\ units[/tex]
case 3) [tex]4x+(2x-6) > 42[/tex]
[tex]4x+2x > 42+6[/tex]
[tex]6x > 48[/tex]
[tex]x > 8\ units[/tex]
therefore
[tex]8\ units< x < 18\ units[/tex]
URGENT!!! Which expression is equivalent to cos(2α)cosα−sinα for all values of α for which cos(2α)cosα−sinα is defined?
Select the correct answer below:
2
cosα+sinα
cot2α−2cos2α
2tanα1+tanα
2sinα1−tan2α
ANSWER
[tex] \cos( \alpha ) + \sin( \alpha ) [/tex]
EXPLANATION
The given expression is
[tex] \frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } [/tex]
Recall and use the double angle identity,
[tex] \cos(2 \alpha ) = { \cos}^{2} \alpha - { \sin}^{2} \alpha [/tex]
This implies that,
[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = \frac{ \ { \cos}^{2} \alpha - { \sin}^{2} \alpha }{ \cos( \alpha ) - \sin( \alpha ) } [/tex]
Recall again that: a²-b²=(a-b)(a+b)
We use difference of two squares to obtain,
[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = \frac{ (\ { \cos}\alpha - { \sin}\alpha )(\ { \cos}\alpha + { \sin}\alpha)}{ \cos( \alpha ) - \sin( \alpha ) } [/tex]
We cancel out the common factors to get,
[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = { \cos}\alpha + { \sin}\alpha[/tex]
The expression cos(2α)cosα−sinα is equivalent to the formula 2tanα / (1+tan^2α), reached by substituting cos(2α) with 1 - 2sin^2α and recognizing the resulting function as the derivative of the tangent function.
Explanation:In addressing your question on expressions equivalent to cos(2α)cosα−sinα, we will employ some trigonometric identities. The expression cos(2α)cosα−sinα is equivalent to the expression 2tanα / (1+tan^2α).
The way to reach this answer is to first know the identity cos(2α) = 1 - 2sin^2α and plug this into the equation. The result will be 2sin^2α cosα + sinα. Then, you recognize this is the derivative of the tangent function, and find that it equals 2 tanα / (1 + tan^2α).
Learn more about Trigonometric Identities here:https://brainly.com/question/3785172
#SPJ3
Which expression is equivalent to
Answer:
pq^9
Step-by-step explanation:
so this is basically multyplying the 2 variables
p there is 1
q there is 9
pq^9
Answer:
p q^9
Step-by-step explanation:
pqqqqqqqq
There is one p and 9 q's
That means raise p to the power of 1 and q to the power of 9
p^1 * q^9
Anything to the power of 1 is itself
p q^9
The points (-2, -1), (5, -4), and (-2, -4) are vertices of a polygon. What is the best name for the polygon?
obtuse triangle
isosceles triangle
right triangle
acute triangle
Answer:
the answwee is right triangle
Step-by-step explanation:
Answer:
Right triangle,
Step-by-step explanation:
The points (-2,-1) and (-2,-4) joined make a vertical line.
Also the line between (-2,-4) and (5, -4) is horizontal.
The 3 points make a right triangle.
a 24-ft. hallway is just 8in on the blueprint. what is the scale?
1 inch is to 3 feet
1 in. : 3 ft.
Chris is making a tabletop. He has 9 tiles that are each 3 1/8 long by 2 3/4 inches wide.
What is the area of all the tiles
Plz help i don’t understand it
since you cross multiply, 2 times 4 is 8 and 6 times the p is 6p so divide both sides by 6 and 8/6 is 1.33 so 1.33=p
Answer:
p = 4/3
Step-by-step explanation:
The problem is showing you a proportion and how to solve it.
Let's use the following proportion to explain the cross multiplication method.
[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]
Start with the proportion above. To get rid of parentheses, multiply both sides by b and by d.
[tex] bd\dfrac{a}{b} = bd\dfrac{c}{d} [/tex]
Simplify:
[tex] ad = bc [/tex]
Now look again at the proportion we started with.
[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]
The two products we ended up with are the same you have circled in your problem. Those products are the result of cross multiplying.
Now let's do your problem and go straight to the cross multiplication.
[tex] \dfrac{6}{2} = \dfrac{4}{p} [/tex]
6 and p are circled together, so the left side becomes 6p.
2 and 4 are circled together, so the right side becomes 2 * 4.
After cross multiplying, we have
6p = 2 * 4
6p = 8
Divide both sides by 6 to find p.
p = 8/6
Reduce the fraction
p = 4/3
What the problem shows you is that to simplify a proportion, set the cross products equal to each other, and solve the equation.
I need help really bad
Volume is found by multiplying the length by the width by the height.
Since you are given the volume and two of the dimensions, multiply the two dimensions together, then divide the volume by that number.
11 x 5 = 55
Width = 440 / 55
Width = 8 inches.
What value is equivalent to 23 · 34?
Answer:
782
Step-by-step explanation:
You have to multiplied 23 and 34
23 X 34 = 782
Answer:
782 is the answer
Step-by-step explanation:
Multiply 23 x 34 and that gives you 782.
Let f(x) = 7x^2-5x+3 and g(x) = 2x^2+4x-6
Part A: f(x)+g(x)
Part B:f(x)-g(x)
Part C: g(x)-f(x)
***I need to find the simplfied answer, when everything is combinded
Answer:
[tex]\large\boxed{A.\ f(x)+g(x)=9x^2-x-3}\\\boxed{B.\ f(x)-g(x)=5x^2-9x+9}\\\boxed{g(x)-f(x)=-5x^2+9x-9}[/tex]
Step-by-step explanation:
[tex]f(x)=7x^2-5x+3,\ g(x)=2x^2+4x-6\\\\A:\\f(x)+g(x)=(7x^2-5x+3)+(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3+2x^2+4x-6\qquad\text{combine like terms}\\f(x)+g(x)=(7x^2+2x^2)+(-5x+4x)+(3-6)\\f(x)+g(x)=9x^2-x-3[/tex]
[tex]B:\\f(x)-g(x)=(7x^2-5x+3)-(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3-2x^2-4x+6\qquad\text{combine like terms}\\f(x)-g(x)=(7x^2-2x^2)+(-5x-4x)+(3+6)\\f(x)+g(x)=5x^2-9x+9[/tex]
[tex]C:\\g(x)-f(x)=(2x^2+4x-6)-(7x^2-5x+3)\\g(x)-f(x)=2x^2+4x-6-7x^2+5x-3\qquad\text{combine like terms}\\g(x)-f(x)=(2x^2-7x^2)+(4x+5x)+(-6-3)\\g(x)-f(x)=-5x^2+9x-9[/tex]
the length of a rectangle playground in a scale drawing is 12 inches. if the scale is 1 inch = 10 feet, what Is the actual length. please show me how you got the answerrr
Answer:
120 feet
Step-by-step explanation:
12 x 10 = 120
I need help with 25-46 Can someone please help me with any of them or all? 50 POINTS
Answer:
firs
Step-by-step explanation:
the sum of foir consecutive even integers is -28
It would cost $81.61 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan cost $77.44. How much does an average movie ticket cost in each of these countries?
The average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.
To solve the problem of determining the average cost of a movie ticket in Japan and Switzerland, we need to set up a system of equations based on the information given. If we let J represent the cost of a ticket in Japan and S represent the cost of a ticket in Switzerland, we can formulate the following equations from the scenario provided:
3J + 2S = $81.61 (Cost for three tickets in Japan and two in Switzerland)
3S + 2J = $77.44 (Cost for three tickets in Switzerland and two in Japan)
Now we solve the system of equations using substitution or elimination method. For simplicity, we'll use the elimination method:
Multiply the first equation by 3 and the second equation by 2 to make the coefficients of S the same:
9J + 6S = 3 x $81.61 = $244.83
6S + 4J = 2 x $77.44 = $154.88
Subtract the second new equation from the first to eliminate S:
9J + 6S - (6S + 4J) = $244.83 - $154.88
5J = $89.95
Divide by 5 to solve for J:
J = $89.95 / 5 = $17.99
Now substitute the value of J in either original equation to solve for S:
3(17.99) + 2S = $81.61
53.97 + 2S = $81.61
2S = $81.61 - 53.97
2S = $27.64
Divide by 2 to solve for S:
S = $27.64 / 2 = $13.82
Therefore, the average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.
Quadrilateral LMNP has sides measuring 16,28,12 and 32 what could be the side lengths of a dilation of LMNP
The side lengths of a dilation of quadrilateral LMNP can be determined by multiplying the original side lengths by the dilation scale factor. For example, a scale factor of 2 would double the side lengths, resulting in a dilated quadrilateral with doubled dimensions.
Explanation:The question asks about the side lengths of a dilation of quadrilateral LMNP with original sides measuring 16, 28, 12, and 32. In mathematics, a dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor of the dilation determines how much larger or smaller the dilated figure will be compared to the original.
For example, if a quadrilateral LMNP is dilated by a scale factor of 2, all side lengths would be twice as long as the original. Therefore, the dilated quadrilateral would have sides of 32 (16×2), 56 (28×2), 24 (12×2), and 64 (32×2). Conversely, if the dilation scale factor is 0.5, the sides would be half as long, resulting in lengths of 8, 14, 6, and 16 respectively.
To determine the side lengths of a dilated version of LMNP, simply multiply each of the original side lengths by the dilation scale factor. This property of similarity due to dilation applies to any polygon, maintaining the shape but altering the size proportionally in all dimensions.
Betsy is buying topsoil for the flower bed shown below.
One bag of topsoil covers 20 square meters.
How many bags of topsoil does Betsy need to cover her flower bed?
A 2 bags
B 3 bags
C 4 bags
D 5 bags
Answer:
The correct answer is B. 3 bags
Correct statement, question and image:
Betsy is buying topsoil for the flower bed shown below (image attached)
One bag of topsoil covers 20 square meters.
How many bags of topsoil does Betsy need to cover her flower bed?
A 2 bags
B 3 bags
C 4 bags
D 5 bags
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's find the area of the triangle:
Area = (Base * Height)/2
Area = (20 * 6)/2
Area of the flower bed = 60 m²
2. Now, let's calculate the number of bags of topsoil Betsy needs to cover her flower bed:
Number of bags = Area of the flower bed/Area covered by a bag of topsoil
Number of bags = 60/20
Number of bags = 3
The correct answer is B. 3 bags
There are 3 bags of topsoil Betsy needs to cover her flower bed option (B) is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The figure is missing. Please refer to the attached picture.
As we know,
The area of the triangle = (1/2)base length×hieght
= (1/2)20×6
= 60 square m
One bag of topsoil covers 20 square meters.
Number of bags = 60/20 = 3 bags
Thus, there are 3 bags of topsoil Betsy needs to cover her flower bed option (B) is correct.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ5