A jar contains red marbles and 10 blue marbles. If you take a random sample of two marbles from this jar, then the probability that the second marble is blue exactly equal to the probability that the first marble is blue if sampling with replacement is used. In sampling with replacement, you would return the first marble obtained to the jar. True/false

Set S has 840 permutations and 70 subsets of 4 elements, and \(2^7\) - 7 - 1 = 120 subsets of 2 or more elements an example of a 4-permutation are {b, e, f, c}, and an example of a 4-subset is {a, d, g, e}.

An example of a 4-permutation from the set S would be {a, b, c, d}. An example of a 4-subset from the set S would be {a, c, e, g}.

To find how many subsets of S have two or more elements, we need to subtract the empty set and the singleton sets from the total number of subsets. The total number of subsets of S is \(2^7\) = 128. There is only one empty set, and there are seven singleton sets. Therefore, the number of subsets of S with two or more elements is 128 - 1 - 7 = 120.

To find how many subsets of S have 3 or 4 elements, we can use the combination formula. The number of 3-element subsets of S is C(7,3) = 35, and the number of 4-element subsets of S is C(7,4) = 35 as well. Therefore, there are 35 + 35 = 70 subsets of S that have 3 or 4 elements.

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Answer:

11235.35

Step-by-step explanation:

Given data

P=8225

R=4.2%=0.042

T=8years

The simple interest formula is

A=P(1+rt)

Substitute

A=8225(1+0.042*8)

A=8225(1+0.336)

A=8225*1.366

A=11235.35

Hence the balance will be 11235.35

The values that make both inequalities true are: 2 < x < 3

Inequalities are mathematical expressions that describe the relative size or magnitude of two values. An inequality is typically written with one of the following symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

To solve the inequality 2x - 1 > 3, we first add 1 to both sides to get:

2x > 4

Then, we divide both sides by 2 to get:

x > 2

Therefore, any value of x greater than 2 will make the inequality 2x - 1 > 3 true. For example, x = 3 makes the inequality true:

2(3) - 1 = 5 > 3

3x - 9 < 0

3x < 9

x < 3

Therefore, any value of x less than 3 will make the inequality 3(x - 3) < 0 true. For example, x = 2 makes the inequality true:

3(2 - 3) = -3 < 0

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The complete question is -

Write a value in each region that makes the inequality or inequalities true. 2x-1>3 and 3(x-3)<0

The area of the sector is 128 square feet.

To find the area of a sector, we can use the formula:

A = (θ/2) * r²

Given:

Diameter = 16 feet

Radius (r) = Diameter/2 = 16/2 = 8 feet

Angle (θ) = 4 radians

Substituting the values into the formula:

A = (4/2) * (8)^2

= 2 * 64

= 128 square feet

Therefore, the area of the sector is 128 square feet.

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For the segments to be congruent, x should be 13/2.

This is a case of congruency of segments. We know that two segments are congruent if and only if they have equal lengths.

Now, here the two line segments JK and RS have lengths 2x-9 and 30-4x respectively.

So, to be congruent, JK and RS must be of equal length.

Or in other words, 2x-9 = 30-4x

or 6x= 30 + 9 =39

i.e. 6x = 39.

Dividing both sides by 3, we get

2x=13 , which implies , x =13/2 or 6.5

Thus, for JK and RS  to be congruent  , x =13/2.

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For the segments to be congruent, x should be 13/2.

This is a case of congruency of segments. We know that two segments are congruent if and only if they have equal lengths.

Now, here the two line segments JK and RS have lengths 2x-9 and 30-4x respectively.

So, to be congruent, JK and RS must be of equal length.

Or in other words, 2x-9 = 30-4x

or 6x= 30 + 9 =39

i.e. 6x = 39.

Dividing both sides by 3, we get

2x=13 , which implies , x =13/2 or 6.5

Thus, for JK and RS  to be congruent  , x =13/2.

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Symbolically, they correspond to the relationships between the coefficients of the equations.

A system of 2 linear equations in 2 variables can have one of the following three possible solutions:

One unique solution: In this case, the two lines intersect at exactly one point, and this point is the solution to the system. Visually, the two lines are not parallel, but they are not the same either. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables.

Infinitely many solutions: In this case, the two lines coincide and are on top of each other, meaning they have the same slope and the same y-intercept. Visually, the two lines are identical. Symbolically, the system is represented as:

a1x + b1y = c1

ka1x + kb1y = kc1

where a1, b1, and c1 are constants, x and y are variables, and k is any non-zero constant.

No solution: In this case, the two lines are parallel and never intersect. Visually, the two lines are distinct and never meet. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables, and the slope of one line is not equal to the slope of the other.

Geometrically, these cases correspond to the three possible positions of two lines in the coordinate plane. Symbolically, they correspond to the relationships between the coefficients of the equations.

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Answer:

31

Step-by-step explanation:

Answer:

Store B and Its $1.20 cheaper if you buys five packs of strawberries from store B

Answer:

$142.50

189.99/4 = 47.49

189.99 - 47.49= 142.40

This is the answer if my math is correct.

The angles that are supplementary angles are: ∠SRT and ∠SRO

Angles that are supplementary will give us a sum of 180 degrees when we add the two angles together. One is the supplement of the other.

Some examples of angles that are supplementary angles that are formed when two parallel lines are intersected by a transversal include:

Angle SRT and angle SRO are angles that are adjacent to each other because they share a common side SR and a common vertex R. They line on the straight line OT.

Therefore, angle SRT and angle SRO are two angles that are supplementary angles as shown in the diagram attached below where lines NP and QS are parallel lines. The supplementary angles are therefore angle SRT and angle SRO.

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According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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Answer:

\(-39\sqrt{3}\)

Step-by-step explanation:

Given expression:

\(\frac{1}{2}\sqrt{48}-5\sqrt{147}-\sqrt{108}\)

Rewrite 48 as 4²·3, 147 as 7²·3 and 108 as 6²·3:

\(\implies \frac{1}{2}\sqrt{4^2 \cdot 3}-5\sqrt{7^2 \cdot 3}-\sqrt{6^2 \cdot 3}\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies \frac{1}{2}\sqrt{4^2} \sqrt{3}-5\sqrt{7^2} \sqrt{3}-\sqrt{6^2} \sqrt{3}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies \frac{1}{2}\cdot 4} \sqrt{3}-5\cdot7 \sqrt{3}-6 \sqrt{3}\)

Simplify:

\(\implies 2 \sqrt{3}-35 \sqrt{3}-6 \sqrt{3}\)

Factor out the common term √3:

\(\implies (2 -35-6) \sqrt{3}\)

Carry out the subtraction inside the parentheses:

\(\implies -39\sqrt{3}\)

The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.

To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;

`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`

Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.

The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.

Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`

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A binomial distribution is indicated when we're considering discrete events with only two possible outcomes ('success' or 'failure'). Therefore, this distribution is the most indicated to modell the number of even numbers obtained from a random number generator.

Answer:

pi r^2 h/3, height =6, r=10, 100*6=600pi/3=200pi

The removal of the estimate of 40 will result in an increase in the mean height estimate of the statue.

The mean is calculated by summing all the values and dividing by the total number of values. In this case, the mean height estimate is obtained by adding up the values 46, 30, 50, and 34, and dividing by 4 (since one value is removed). The sum of the remaining estimates is 46 + 30 + 50 + 34 = 160. Dividing this sum by 4 gives a mean of 40.

However, if we include the estimate of 40, the sum becomes 46 + 30 + 50 + 34 + 40 = 200. Dividing this sum by 5 (the total number of estimates) gives a mean of 40. Therefore, when the estimate of 40 is removed, the sum decreases to 160 and the number of values used in the calculation decreases to 4, resulting in an increase in the mean estimate. The new mean can be calculated as 160/4 = 40.

Hence, the removal of the estimate of 40 causes an increase in the mean height estimate of the statue.

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The total area of the shaded region bounded by the given curves is approximately 4.33 square units.

The given curves are x = 6y² - 6y³ and x = 4y² - 4y. The shaded area is formed between these two curves.

Let’s solve the equation 6y² - 6y³ = 4y² - 4y for y.

6y² - 6y³ = 4y² - 4y

2y² - 2y³ = y² - y

y² + 2y³ = y² - y

y² - y³ = -y² - y

Solving for y, we have:

y² + y³ = y(y² + y) = -y(y + 1)²

y = -1 or y = 0. Therefore, the bounds of integration are from y = 0 to y = -1.

The area between two curves can be calculated as follows:`A = ∫[a, b] (f(x) - g(x)) dx`where a and b are the limits of x at the intersection of the two curves, f(x) is the upper function and g(x) is the lower function.

In this case, the lower function is x = 6y² - 6y³, and the upper function is x = 4y² - 4y.

Substituting x = 6y² - 6y³ and x = 4y² - 4y into the area formula, we get:`

A = ∫[0, -1] [(4y² - 4y) - (6y² - 6y³)] dy

`Evaluating the integral gives:`A = ∫[0, -1] [6y³ - 2y² + 4y] dy`=`[3y^4 - (2/3)y³ + 2y²]` evaluated from y = 0 to y = -1`= (3 - (2/3) + 2) - (0 - 0 + 0)`= 4.33 units² or 4.33 square units (rounded to two decimal places).

Therefore, the total area of the shaded region bounded by the given curves is approximately 4.33 square units.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

The area of one of the slices is  54π square inches

The given parameters are

Diameter = 36 inches

Number of slices = 6

The pie represents take the shape of a circle

And the area (A) of a circle using the diameter (d) is

A= π(d/2)^2

Multiply the above area by 1/6 to get the area of a slice of the pie

So, we have

Area = 1/6 * π(d/2)^2

This means that the area of one of the slices is calculated by

Area = 1/6 * π(d/2)^2

Where

d represents the diameter of the pie i.e. d = 36 inches

So, we have

Area = 1/6 * π * (36/2)^2

Evaluate

Area = 54π

Hence, the area of one of the slices is  54π square inches

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Answer:

it will take 5days to reach a total of 180meters

Step-by-step explanation:

80m+20+20+20+20+20

=180meters

=5days

Answer:

that means that the new ones contains c-14*32/100

Hope This Helps!!!

Answer:

w

Step-by-step explanation:

Answer: Goofy ahhh question

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

5x=180

x=180/5=36

Answer:x=36

Step-by-step explanation:

Took the test and got it right!

Answer:

6.5

Step-by-step explanation:

all you have to do is substitute x with 2.5 in the equation and you can find y.

the correct question is

The parabola y = z^2 is changed to the form y = a(z - p)2 + q, by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of a, p, and q ?

-

we have

y=z^2 ------> parent function

vertex is (0,0)

y=a(z-p)^2+q

the translation is 2 units up and 4 units right

so

the rule is

(x,y) -----> (x+4,y+2)

so

y=a(z-4)^2+2

and

expanding it vertically by a factor of 3

the rule is

(x,y) -----> (x,3y)

therefore

y=3(z-4)^2+2

answer is

\( \: \: \: \: \: \: \: \: \: \: 4y - 2(3y - 5) \\ \\ = > 4y- 6y + 10 \\ \\ = > \green{\boxed{ - 2y + 10}}\)

By selling 19 cars Renaldo gets an amount of $16848.25.

So, calculate according to the question:

Forming the equation:

He gets an amount of $16848.25 by selling 19 cars.

Therefore, by selling 19 cars Renaldo gets an amount of $16848.25.

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Answer:

-5/6=-5/-6=- 5/6

- 7/2=-7/-2=-7/2

Step-by-step explanation:

Answer:that’s easy

Step-by-step explanation:-3x+4=1x because first you put the higher number first and then you subtracted which is 1x. Hoped it work.

Answer:

Slope:  − 3

y-intercept:  ( 0 , 4 )

x     y

0     4

4 /3  0

Step-by-step explanation:

Step-by-step explanation:

since 36% is 576 seats, 100% would be 576/36 x 100 = 1600seats

Topic: Percentage

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