What’s the answer to this math problem

The required probability for the given case is obtained as 1/6.

Probability is the measurement of the chance for a random event.

It is the ratio of the favorable outcome to the total possible outcome.

It always lies in the interval [0, 1].

The sample space for the given case can be written as follow,

The total number of sample space elements are,

Possible outcomes for coin × Possible outcomes for cube

= 2 × 6 = 12

Now, the number of favorable outcomes for the given event is as below,

Number of head × Number of numbers less than 3

= 1 × 2 = 2

Now, the probability is given as,

P(Head on coin and less than 3 on cube) = 2/12 = 1/6

Hence, the probability of getting heads on the coin and a number less than 3 on the number cube is given as 1/6.

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Answer:

4cdb ( 6 − 9c )

Step-by-step explanation:

24cd = 4cd × 6

36c²d = 4cd × 9c

24cd − 36c²d = 4cd ( 6 − 9c )

To find out how much the wool costs, we need to multiply the price of a yard of nylon by 3, since the wool is 3 times more expensive. So a yard of wool costs $3 * 3 = $<<3*3=9>>9.

To find out how many yards of wool Caleb bought, we need to divide the total number of yards by the number of fabrics, since he bought the same amount of each fabric. So Caleb bought 68 / 2 = <<68/2=34>>34 yards of wool.

To find out how much Caleb spent on wool, we need to multiply the number of yards of wool by the price of a yard of wool. So Caleb spent 34 * $9 = $<<34*9=306>>306 on wool.

To find out how much Caleb spent on nylon, we need to multiply the number of yards of nylon by the price of a yard of nylon. So Caleb spent 68 * $3 = $<<68*3=204>>204 on nylon.

To find out how much Caleb spent in total, we need to add the amount he spent on wool and the amount he spent on nylon. So Caleb spent $306 + $204 = $<<306+204=510>>510 in total. Answer: \boxed{510}.

Answer:

B and D

Step-by-step explanation:

While D is a given factor for any number, 3 is the only number that 9 and 12 can be evenly divided by.

If a train traveled 300 miles. The time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

Distance = Rate × Time

Time =Distance/Rate

1. 50 mph

Time = 300/50

Time = 6 hours

2. 70 mph

Time = 300/70

Time = 4.29 hours

3. x mph

Time = 300/x

Time = 300/x hours

4. (x+10)mph

300/(x+10) hours

5. (x-5)mph

300/(x-5) hours

Therefore the  time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

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Answer:−cnotu+53.65

Step-by-step explanation: I don't really know how I got it. But it was quite easy.

The value of x after solving −0.28x − 8.4 = 8.26  is   x = −59.5 .

What is linear equation in one variable ?

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it.

To solve linear equation in one variable:

Step 1: Simplify each side, if needed.

Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.

Step 3: Use Mult./Div. Properties to remove any values that are in front of the variable.

Given :

-0.28x - 8.4 = 8.26

Adding 8.4 both the sides , we get

-0.28x + (-8.4 + 8.4) = 8.26 + 8.4

-0.28x = 16.66

x = - (16.66/0.28)

x = -59.5

Hence , the value of x after solving −0.28x − 8.4 = 8.26  is   x = −59.5 .

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This person has walked a total of 21 miles and the total displacement vector for this walk is 13.153 in northeast direction by the concept of distance and displacement.

Unaffected by direction, distance describes an object's entire movement. Displacement, in contrast, refers to a shift in an object's position. Because of this, the primary distinction between distance and displacement is that one is a scalar and the other is a vector.

According to question let us determine the total distance 2 miles+3 miles+6 miles+7 miles+3 miles =21 miles

So, this person has walked a total of 21 miles

Now let us find displacement vector as follows:

Divide into parts: Each leg on the Southeast and Southwest diagonals is the hypotenuse, therefore multiply by (2) /2.

x-axis is given as 2+3*(√ (2) /2) +0 -7(√ (2) /2) +3 =1.464

Similarly, y-axis is given as 0- 3(√ (2) /2)- 6- 7(√ (2) /2) +0=-13.071

The coordinates of the given ques are as follows: <1.464, -13.071>

By Pythagoras theorem, the hypotenuse of the given coordinates is 13.153 in northeast which is our required displacement.

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The cost for a child ticket was $4 less than the cost of an adult ticket.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of adult tickets be x.

The 5 children received a 20% discount on their tickets.

So;

x-20% of x

= (x-20/100) × x

= x-0.2x

= 0.8x

Here, 4x+5×0.8x=160

⇒ 4x+4x=160

⇒ 8x=160

⇒ x=20

So, the cost of children is 20-20% of 20

= 20-0.2×20

= 20-4

= 16

Therefore, the cost for a child ticket was $4 less than the cost of an adult ticket.

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No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r. One solution: 2x + 4 = 3x + 1/2

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

If the value of the variable is zero, then the no solution.

If the value of the variable is one, then the one solution.

If the value of the variable is infinity, then the infinite many solutions.

No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r.

One solution: 2x + 4 = 3x + 1/2

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Answer: The answer is 8/5

Answer:

Each person gets 8/5 part of cookie

The interquartile range (IQR) is a measure of dispersion, which is a measure of how spread out a data set is. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

Q1 = ( n +1 ) / 4th observation

    = ( 9 + 1) / 4

    = 2.5 th obseravation

That is the average of 2nd and 3rd observations.

Q1 = 2

Q3 = 3 ( n + 1) / 4 th observation

     = 3 ( 9 + 1) / 4

     = 7.5 th observation

That is the average of the 7th and 8th observation

Q3 = 5.5

Interquartile range = Q3 - Q1 = 5.5 - 2 = 3.5

In this data set, the first quartile is the average of the second and third observations (2), and the third quartile is the average of the seventh and eighth observations (5.5). Subtracting the first quartile from the third quartile gives us an IQR of 3.5. This means that the values in the data set are spread out over a range of 3.5 dollars.

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The length, b, which is the longest side of the triangle, can be found to be 13.172 cm.

To find the area of 22.4 cm², the formula used was:
Area = 1/2 x a x b x Sin(C)

Using this formula, we can find the value of side a to be :
22.4 = 1/2 x 3.7 x a x Sin(97°)

a = 12. 199 cm

We can then use the Cosine rule to find the value of b, which is the longest side:

b² = a² + c² - 2 x a x c x Cos(B)

b = √ ( a² + c² - 2 x a x c x Cos(B))

b = 13. 172 cm

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Assume "in the event that p, q" is the given contingent assertion "in the event that ∼q, ∼p" is its contrapositive assertion. Consider the situation in which the conditional statement "if p, then q" serves as its converse statement.

Reversing the two statements that make up a categorical or implicational statement yields its opposite in logic and mathematics. The opposite of the implication P Q is Q P.

The converse statement (q p) and inverse statement (p q) of a conditional statement p q are equivalent to one another. The statement p q and its counter positive counterpart, q p, are equivalent.

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The translated vertices from the given vertices are:

A(3, -4) → A'(-2, -6)

B(-4, -2) → B'(-9, -4)

C(1, 1) → C'(-4, -1)

The translation rule for the coordinates of a graph is given by

(x, y) → (x + a, y + b)

Here the coordinates (x, y) are translated by (a, b) units.

The given vertices of a ΔABC are:

A(3, -4), B(-4, -2), and C(1, 1)

If the vertices are translated by T(-5, -2) units, then the new vertices after translation are calculated by using the rule (x, y) → (x + a, y + b). Here (a, b)  is (-5, -2).

Thus,

A(3, -4) → (3 - 5, -4 - 2) ⇒ A'(-2, -6)

B(-4, -2) → (-4 - 5, -2 - 2) ⇒ B'(-9, -4)

C(1, 1) → (1 - 5, 1 - 2) ⇒ C'(-4, -1)

Therefore, the translated version of the ΔABC is ΔA'B'C' and its vertices are A'(-2, -6), B'(-9, -4), and C'(-4, -1).

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Answer:

  (-6, -2)

Step-by-step explanation:

For points A(-10, 2) and B(-3, -5), you want the point P that makes AP/PB = 4/3.

Using (x, y) for the coordinates of P, we have ...

  AP/PB = 4/3

  ((x, y) -(-10, 2))/((-3, -5) -(x, y)) = 4/3

This simplifies to ...

  (x+10, y-2)/(-3-x, -5-y) = 4/3

Cross multiplying gives ...

  3(x +10, y -2) = 4(-3 -x, -5 -y)

  (3x+30, 3y-6) = (-12-4x, -20-4y)

Treating these equations separately, we have ...

  3x +30 = -12 -4x   ⇒   7x = -42   ⇒   x = -6

  3y -6 = -20 -4y   ⇒   7y = -14   ⇒   y = -2

The point that partitions the segment is (-6, -2).

__

Additional comment

The point that partitions AB in the ratio m/n is ...

  P = (mB +nA)/(m+n)

  P = (4(-3, -5) +3(-10, 2))/(4+3) = (-12-30, -20+6)/7 = (-42, -14)/7 = (-6, -2)

Above, we started from the basic requirement, rather than using the formula that results from that requirement.

Answer:

Look at the image I attached to this answer for the answers.

This is a crossword puzzle on geometry terms and concepts, including lines, angles, and planes.

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Answer:

y - intercept = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6 + 2x , that is

y = 2x + 6 ← is in slope- intercept form

with y- intercept c = 6

The expression that gives the perimeter of the A'B'C is 2 (a + b + c).

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The side length of triangle A'B'C' is twice the length of the corresponding side length of triangle ABC.  

The perimeter of a triangle.

= Sum of all the three sides

Now,

The perimeter of the triangle ABC.

= a + b + c

Thus,

The perimeter of the triangle A'B'C'.

= 2 (a + b + c)

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Answer:

Step-by-step explanation:

Use the figure to complete each sentence. The base of this rectangle is cm. The height of this rectangle is cm. The area of this rectangle is cm2.

Answer:

24 cm²

Step-by-step explanation:

Solution Given:

The base of this rectangle is 4 cm. The height of this rectangle is 6 cm

height =6 cm

base = 4cm

Since

Area of Rectangle= base*height

=6*4

=24 cm²

Therefore, the area of this rectangle is 24 cm².

Answer:

Step-by-step explanation:

j = 3s

(j-10 + s-10) =44

3s-20 + s =44

4s = 64

s = 16

j=3*16

j=48

currently Joseph is 48,  the son is 16,  so

16 years ago,  when the son was born,  Joseph was 32

Answer:

Joseph was 34 years old when his son was born.

Answer:

Mixture B

Step-by-step explanation:

A) the concentrate per cup is 2/3

B) the concentrate per cup is 6/8 = 3/4

The concentration of B is higher, so it will taste juicier.

Answer:

y is equal to or greater than 1x

Step-by-step explanation:

Answer:

-2/4

Step-by-step explanation:

Answer:

xx=5 and yy=6

Step-by-step explanation:

Hope it helps you

The {-4, 0, 1} represents members of the domain of the graphed function.

What is the domain of the function?

A function is a mathematical object that accepts input, appears to apply a rule to it, and returns the result.

A function can be thought of as a machine that requires in a number, performs some operation(s), and then outputs the result.

The domain of a function is the collection of all its inputs. Its codomain is the set of possible outputs.

The range refers to the outputs which are actually used.

We have,

collection of the ordered pairs represents a function:

{(4, 19), (-2, 77), (0, 10), (1/2, 9/5), (1, 10), (-3, 0), (100, 100)

a) Domain of the function is:

{ -2, -3, 0, 1/2, 1, 4, 100}.

b) Range of the function is:

{ 0, 9/5, 10, 19, 77,  100}.

Hence, the Domain of the function is { -2, -3, 0, 1/2, 1, 4, 100} and the Range of the function is {0, 9/5, 10, 19, 77,  100}.

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Answer:

x is the first mile marker

then, x+%2B+1 the second mile marker

given:

x%2Bx+%2B+1=655

2x+=655-1

2x+=654

x+=654%2F2

x+=327->the first mile marker

and

x+%2B+1=328 the second mile marker

A problem that could be solved by multiplying (−3) × (−6) is "the product of -3 and -6"

From the question, we have the following parameters that can be used in our computation:

(-3) x (-6)

In the above expression, we can see that

-3 and -6 are multiplied

This means that the problem is a product expression

And a problem that can represent (-3) x (-6) is "the product of -3 and -6"

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Answer:

the answer is 10

Step-by-step explanation:

The value of the numerical expression 24 / (4 × 2 - 2) will be 4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 24 / (4 × 2 - 2)

Simplify the expression, then we have

⇒ 24 / (4 × 2 - 2)

⇒ 24 / (8 - 2)

⇒ 24 / 6

⇒ 4

The value of the numerical expression 24 / (4 × 2 - 2) will be 4.

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