Molly is thinking of a number. twice her number take away seven is the same as her number plus five. what is her number?

The approximately probability that a person will go to the Saturday morning game and buy nachos is 18%.

The approximately probability of a person going to a Saturday morning game and buying nachos:

Probabaility= [tex]\frac{150}{846} *100[/tex]

                   =17.7%

Approximately=18%.

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Answer:

5/6

Step-by-step explanation:

we add all the marbles together to get 6

then we seperate the marbles according to the question which would be yellow and red. that would make the probability of getting one of those to 5/6. Hope this helps :)

Answer:

The cable length will have to be at least 30.51936ft

Step-by-step explanation:

[tex]c= \frac{25}{ \sin( 55 ) } = 30.51936[/tex]

C = Cable

Answer:

Step-by-step explanation:

(14 - 7x)/7 =

[7(2-x)]/7 =

2-x

The radius of the circle is 24 hectometers.

Remember that the circumference of a circle of radius R is given by the equation:

[tex]C = 2*\pi*R[/tex]

In this case, we know that the circumference is: C = 150.7968 hm

And π = 3.1416

Replacing that and solving for R, we get:

[tex]R = \frac{C}{2*\pi} = \frac{150.7968hm}{2*3.1416} = 24hm[/tex]

The radius of the circle is 24 hectometers.

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Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:

To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:

= (4 + 6) / 2

= 5

Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.

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Answer:

LK = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

given point J (4, 4 )

then LJ = 4 and JK = 4

using Pythagoras' identity in right triangle LJK

LK² = LJ² + JK² = 4² + 4² = 16 + 16 = 32 ( take square root of both sides )

LK = [tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

Answer:

48

Step-by-step explanation:

48 because you are multiplying it by -2 each time. -24 x -2 = 48

Based on the graph of the budget function with the x-intercept and the y-intercept, the two ordered pairs that would fall on this line are (2, 0) (0, 5).

The x-intercept is the point on the graph where the budget function would cross the x-intercept.

At this point, the value of y would be 0 because the x-axis intersects the y-axis at y = 0.

An x-intercept of 2 would therefore have the point, (2,0).

The y-intercept would be the point where the y axis is crossed. At this point, x will be zero because the y-axis intercepts the x-axis at the value, x = 0.

A y-intercept of 5 would therefore yield a point of (0, 5).

In conclusion, option A is correct.

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The difference between the 6th term and the 9th term of the sequence is 135

Given that the nth term is;

3n² + 11

For the 6th term, the value of n is 6

Let's solve for the 6th term

= 3( 6)^2 + 11

= 3 × 36 + 11

= 108 + 11

= 119

For the 9th term, n = 9

= 3 (9)^2 + 11

= 3( 81) + 11

= 243 + 11

= 254

The difference between the 6th and 9th term

= 254 - 119

= 135

Thus, the difference between the 6th term and the 9th term of the sequence is 135

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The correct option regarding the point at which the linear functions intersect is given by:

C) The lines don't intersect.

A linear function is modeled by:

y = mx + b

In which:

For line m, we have that the y-intercept is of b = 8. When x changes by 4, y changes by 8, hence the slope is of 2, and the equation is:

y = 2x + 8.

Line n, in slope-intercept format, is given by:

-8x + 4y = 24

4y = 8x + 24

y = 2x + 6

Hence:

2x + 8 = 2x + 6

0x = -2

Which is impossible, hence they do not intersect and option C is correct.

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Answer:

Formula=√(x2-x1)²+(y2-y1)² =√(4-0)²+(9-13)2 =√16+16 =√32

Answer:  slope=-1

Step-by-step explanation:

9-13     -4

------   ---------    -4/4=-1

4-0       4

The hypotenuse is [tex]c = a\sqrt{2}[/tex]  times the length of each leg 'a'. Triangle XYZ is a isosceles right triangle, therefore the Pythagoras theorem becomes  and this can be evaluated by using properties of isosceles triangle.

According to the statement

we have given that a theorem and we have to prove it.

So, For this purpose,

The given information is :

Isosceles triangle XYZ where [tex]Angle X = 45^{0}[/tex] [tex]Angle Y = 45^{0}[/tex] [tex]Angle Z = 90^{0}[/tex]

Let the sides of triangle XYZ be a, b, and c. Then side XY = c, YZ = b and ZX = a.

Now, it is given that triangle XYZ is isosceles triangle therefore, the shorter sides must be equal that is, a = b.

Now use Pythagoras theorem

[tex]a^{2} + b^{2} = c^{2}[/tex]

But here a= b then the equation become

[tex]a^{2} + a^{2} = c^{2}[/tex]

Then after solving it become

[tex]2a^{2} = c^{2}[/tex]

And here we have to find the value of the hypotenuse,

so we solve it for c.

Then

[tex]c = a\sqrt{2}[/tex]

From this it is clear that the

it can be concluded that the hypotenuse is  times the length of each leg 'a'.

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Answer:

$0.95/lb

Step-by-step explanation:

1 ton = 2000 lb

3 tons = 3 × 1 ton = 3 × 2000 lb = 6000 lb

$5700/(6000 lb) = $0.95/lb

Answer: $0.95/lb

Step-by-step explanation:

3 tons = 6000 pounds

Therefore, using ratio and proportion rules,

6000/5,700 = 1/x

x = 5700/6000 = 0.95

The price is $0.95, or 95 cents per pound.

Answer:

Side AB = [tex]9\sqrt{2}[/tex]

Side AB = [tex]9\sqrt{2}[/tex]

Side CB = 36

Step-by-step explanation:

This is a special right triangle and it's also an isosceles triangle

therefore the measure of AC = AB and they are both = [tex]9\sqrt{2}[/tex]

for this special triangle the measure of hypotenuse (CB in here) is represented with [tex]x\sqrt{2}[/tex] and the legs are represented with x, each

since legs' lengths are given as = [tex]9\sqrt{2}[/tex] then x = [tex]9\sqrt{2}[/tex]

replace the x in front of [tex]x\sqrt{2}[/tex] with  [tex]9\sqrt{2}[/tex]

[tex]9\sqrt{2}[/tex] *  [tex]\sqrt{2}[/tex] = 36

The shape of a bst approaches that of a perfectly balanced binary tree, (log2n) is the time complexity for a balanced binary search tree in case of insertions and search.

In computing, binary bushes are mainly used for looking and sorting as they offer a way to save statistics hierarchically. a few common operations that may be conducted on binary trees encompass insertion, deletion, and traversal.

A binary tree has a special situation that each node could have a most of two youngsters. A binary tree has the benefits of each an ordered array and a linked listing as search is as brief as in a taken care of array and insertion or deletion operation are as fast as in related listing.

In pc science, a binary tree is a tree information shape in which every node has at maximum two youngsters, that are known as the left baby and the proper toddler.

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Answer:

56

Step-by-step explanation:

combinations

C(8,3)

Answer:

x=2.5

Step-by-step explanation:

Solve for x in this systems of equations, we already have two values which equal y so half the work is finished for us.

Starting with the equation:

[tex]x+12=17-x[/tex]

Add x to both sides to remove the negative x on the right side of the equation:

[tex]2x+12=17[/tex]

Subtract 12 from both sides to remove the 12 on the left side of the equation:

[tex]2x=5[/tex]

Divide both sides by 2 to cancel out the x coefficient

[tex]x=2.5[/tex]

Answer:

you need all of them?

Step-by-step explanation:

Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

For the given points ...

  [tex]x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)[/tex]

The distance between x and y is ...

  [tex]d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45[/tex]

Answer:

=======================

Connect the center with one end of the chord, this gives us a right triangle with hypotenuse of x, one leg of 6 and another leg of 24/2 = 12.

Use Pythagorean to find the value of x:

Correct choice is C.

Answer:

x = 13.4

Step-by-step explanation:

Definitions

Radius: a straight line from the center of the circle to its circumference.

Chord: a straight line joining two points on the circle.

Perpendicular:  at a right angle (90°).

Isosceles triangle: a triangle with 2 sides of equal length and 2 congruent base angles.

From inspection of the given diagram:

If lines are drawn from the center of the circle to the endpoints of the chord, an isosceles triangle is created with base of 24 units and height of 6 units.  

The isosceles triangle is made up of two right triangles with base of 12 units and height of 6 units.  The radii are the hypotenuse of these right triangles.  Therefore, to calculate the radius of the circle (x), use Pythagoras Theorem.

Pythagoras Theorem

[tex]\sf a^2+b^2=c^2[/tex]

where:

Therefore:

[tex]\sf \implies 6^2+12^2=x^2[/tex]

[tex]\implies \sf x^2=36+144[/tex]

[tex]\implies \sf x^2=180[/tex]

[tex]\implies \sf \sqrt{x^2}=\sqrt{180}[/tex]

[tex]\implies \sf x=\pm 6\sqrt{5}[/tex]

As length is positive:

[tex]\implies \sf x = 6\sqrt{5}=13.4\:units\:(nearest\:tenth)[/tex]

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The maximum possible profit = $7068

For given question,

One Microsoft July $72 put contract for a premium of $1.32

The payoff arise from put option is max (K - S, 0) - P

Now it would be maximum at S = 0

And, the maximum payoff is

K - 0 - P

= K - P

= 72 - 1.32

= $70.68

We assume that for each and every contract the number of shares is 100

So, the maximum profit gained from this strategy is

= $70.68 × 100 shares

= $7068

The maximum profit that will be gained from this strategy is $7068

Therefore, the maximum possible profit = $7068

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Answer:

2J - 1

Step-by-step explanation:

Let J = John's age. Sherry is 4 years less than twice as old as John, so Sherry is 2J - 4 years old. Ron is 3 years older than Sherry, so Ron is 2J - 4 + 3 = 2J - 1 years old.

The probability of selecting an ace or a heart when one card is drawn from 52 cards is 1/52.

Given that there are 52 cards in which there are 13 cards each for spades,clubs,hearts and diamonds.

We are required to find the probability of getting an ace or a heart when one card is drawn from 52 cards.

Probability is basically the chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative. The probability can be calculated through following formula:

Probability=Number of items/total number of items.

Number of hearts=13

Number of ace=4

Probability of getting an ace or a heart when one card is drawn=P(X=heart)*P(X=ace)

=13/52 * 4/52

=52/(52*52)

=1/52

Hence the probability of getting an ace or heart when one card is drawn from standard deck of cards is 1/52.

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The minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.

In the question, we are asked to use Lagrange multipliers to find the minimum distance between the origin and the plans 3x + y + 2z = 28.

Lagrange multipliers state that if we want to minimize a function, f(x, y, z), subject to a constraint g(x, y, z) = constant, then ∇f = λ∇g.

We want to minimize the distance, and the distance formula says that the distance from the origin to a point (x, y, z), is given as:

D = √(x² + y² + z²), which can also be shown as:

D² = x² + y² + z².

The gradient of this function is: (2x + 2y + 2z), which needs to be equal to the gradient of the constraint equation multiplied by the constant, λ, that is, λ(3, 1, 2), which gives:

2x = 3λ, or, x = (3/2)λ,

2y = λ, or, y = λ/2, and,

2z = 2λ, or, z = λ.

Substituting these in the equation of the plane, 3x + y + 2z = 28, we get:

3(3/2)λ + λ/2 + λ = 28,

or, 6λ = 28,

or, λ = 28/6 = 14/3.

Thus, we get:

x = (3/2)λ = 7,

y = λ/2 = 7/3, and,

z = λ = 14/3.

Substituting these in the distance formula, we get:

D = √(7² + (7/3)² + (14/3)²) = √(49 + 49/9 + 196/9) = √(686/9) = 8.73.

Thus, the minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.

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Answer:

[3,0]

[0,9]

Step-by-step explanation:

9x+3y=27

9x+3(0)=27

9x=27

x=3

9(0)+3y=27

3y=27

y=9

Answer: [tex]\Large\boxed{-30x^2+40x}[/tex]

Step-by-step explanation:

Given expression

10x (4 - 3x)

Expand the parenthesis by distributive property

= 10x · 4 - 10x · 3x

= (10 × 4)x - (10 × 3) (x × x)

[tex]\Large\boxed{=-30x^2+40x}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Hi :)

We'll use distributive property to solve this

[tex]\LARGE\boldsymbol{10x(\hfill\stackrel{\hfill\stackrel{10x}\curvearrowright}4-\hfill\stackrel{\hfill\stackrel{10x}\curvearrowright}{3x)}}}[/tex]

Thus

[tex]\large\boldsymbol{10x\cdot4-3x\cdot10x}[/tex]

Simplify

[tex]\Large\boldsymbol{40x-30x^2}[/tex]

[tex]\tt{Learn~More;Work~Harder}[/tex]

:)

The degrees of freedom for a chi-square test applied to a cross-tabulation with 5 rows and 2 columns is equal to 6

The given parameters are:

Rows = 5

Column = 2

The degrees of freedom is then calculated as:

df = Rows + Column - 1

Substitute the known values in the above equation

df = 5 + 2 - 1

Evaluate the expression

df = 6

Hence, the degrees of freedom for a chi-square test applied to a cross-tabulation with 5 rows and 2 columns is equal to 6

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The conclusion that the building managers can draw based on the given data is; D: Riding to work is more common among tech company employees than at the other modes of transportation.

The results of the survey are shown in the two-way frequency table below.

From the table we can see that;

Total Cars = 55

Total Number of Buses = 46

Total Number of Walks = 36

Total Number of Bikes = 48

Total Number of Subways = 80

Total Number of  Tech company = 98

Total Number of Law Firms = 73

Total Number of Finance Groups = 94

Option A; There are 16 people who use buses from the tech company while there are 26 people who use subway from the Law firm. Thus, the statement is false.

Option B; There are 12 people who walk to work  at the finance group while there are a total of 10 people who walk to work at the law firm. Thus the statement is false.

Option C; Percentage of walkers at law firm = 10/73 * 100% = 13.7%

Percentage of car drivers at the tech firm = 10/98 * 100% = 10.2%

Thus, the statement is false

Option D; This is true

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Answer:

It is more common to find a bus rider who works at the tech company than a person on the subway who works at the law firm.

Step-by-step explanation:

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