There is a raffle at a hockey game and 250 tickets are sold. Trenton bought 88 tickets. What percent of the
tickets does Trenton have?

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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Answer:

-5

Step-by-step explanation:

15=-x+10

x-10=-15

x=-15+10

x=-5

Answer:

1) Are dividing the group rate cost.

2) Multiplication.

3) Action is being performed on the variable.

4) n/4 or n [divided sign] 4

Step-by-step explanation:

Atleast this book tells you. but most times its a multi questioning test like online.

The equation to find the nth term of the sequence is aₙ = 4n - 17

The equation of the sequence can be represented as follows;

a₃ = - 5, a₄ = - 1, a₅ = 3, a₆ = 7, a₇ = 11

Therefore, let's find the equation of the nth term.

Using arithmetic formula,

aₙ = a + (n - 1)d

where

Therefore,

d = 11 - 7 = 4

Hence, let's find the first term using 7th term

11 = a + 6(d)

11 = a + 6(4)

11 - 24 = a

a = - 13

Therefore, the equation to find the nth term of the sequence is as follows:

aₙ = -13 + (n - 1)4

aₙ = - 13 + 4n - 4

aₙ = - 13 - 4 + 4n

aₙ = 4n - 17

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Answer:

its the 3rd one

Step-by-step explanation:

The probability P(Y<2X^2) is equal to (4c/3).

The domain of X and Y in the xy-plane is shown in the graph below:Explanation:As it is given, X and Y are two random variables with joint probability density function fx,y(x, y) = cx + 1 for x, y ≥ 0 and x + y < 1. Therefore, we get: $$
\int_0^{1-x}\int_0^\infty{cx + 1}dydx=1
$$$$
\int_0^{1-x}{cx + 1}dx=\frac{1}{2}$$$$
\frac{1}{2}c(1-x)^2+c(1-x)+x= \frac{1}{2}$$$$
\frac{1}{2}c(1-x)^2+c(1-x)+x-\frac{1}{2}= 0$$$$
c(1-x)^2+2c(1-x)+2x-1= 0$$$$
c=-2x^2-2x+1$$$$
\int_{-\infty}^\infty\int_{-\infty}^\infty{f_{X,Y}(x,y)}dydx=1$$$$
\int_0^1\int_0^{1-x}(-2x^2-2x+1)dydx=1$$$$
\int_0^1[-2x^2y-2xy+y]_0^{1-x}dx=1$$$$
\int_0^1{-2x^3-3x^2+3x-1}dx=1$$$$
\left[-\frac{1}{2}x^4-x^3+\frac{3}{2}x^2-x\right]_0^1=1$$$$
-\frac{1}{2}-1+\frac{3}{2}-1=-1/2$$$$
c=2a) The marginal distribution fx(x) can be found by integrating fx,y over y from 0 to 1-x:$$
f_X(x)=\int_0^{1-x}cx + 1 dy = c(1-x)+x = -2x^2-2x+2$$$$
x+1/2\leq fx(x)\leq 2$$$$
0\leq x\leq 1$$$$
b) $$P(Y<2X^2)=\int_0^1\int_0^{2x^2}f_{X,Y}(x,y)dydx$$$$
=\int_0^1\int_0^{2x^2}cx+1dydx$$$$
=\int_0^1(cx^22+2x)dx$$$$
=\frac{4c}{3}$$$$
=-\frac{8}{3}x^2-4x+4$$Therefore, the probability P(Y<2X^2) is equal to (4c/3).

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Answer:

2/65

Step-by-step explanation:

trust me

The probability that Sam picks two blue pens is,

⇒ 5 / 26

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A box has 26 pens —6 red, 8 green, 5 blue, and 7 black.

Here, Sam picks two pens at a time without replacement.

Hence, We get;

The probability that Sam picks two blue pens is,

⇒ P =  5 / 26

Thus, The probability that Sam picks two blue pens is,

⇒ 5 / 26

\

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Answer:

Step-by-step explanation:

\(f(x)-g(x)=2x^2+3x+2-x-1\\ \\ f(x)-g(x)=2x^2+2x+1\)

Answer:

a 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

The expected number of aces in a poker hand given that the first card drawn is an ace is 0.235.

If the first card drawn is an ace, then there are only 3 aces left in the deck of 51 cards from which to draw the remaining 4 cards. Therefore, we can model the number of aces in the poker hand as a binomial random variable with parameters n = 4 (the number of cards after the first ace) and p = 3/51 (the probability of drawing an ace from the remaining deck).

The expected number of aces in a poker hand given that the first card drawn is an ace can be calculated as follows:

E(X) = np = 4 * 3/51 = 12/51 = 0.235

Therefore, the expected number of aces in a poker hand given that the first card drawn is an ace is approximately 0.235.

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____ The given question is incorrect, the correct question is given below:

A poker hand consists of five cards drawn from a standard 52-card deck. find the expected number of aces in a poker hand given that the first card drawn is an ace.

There are 640 acres in 1 square mile. The area of a forest is increasing at a rate of 1 acre per decade. The rate at which the area of the forest is increasing, in square kilometers per decade is C) 0.0025 square kilometers per decade.

The area of the forest is increasing at a rate of 1 acre per decade. To find the rate in square kilometers per decade, we first need to convert acres to square miles, and then square miles to square kilometers.

1 acre = 1/640 square miles (since there are 640 acres in 1 square mile)

Now, we'll convert square miles to square kilometers using the given conversion factor (1 kilometer = 0.62 mile):

1/640 square miles * (1 km / 0.62 mile)^2 = 1/640 * (1 / 0.3844) square kilometers ≈ 0.00256 square kilometers

So, the closest answer to the rate at which the area of the forest is increasing is:

C) 0.0025 square kilometers per decade

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

1. 8,397 ÷ 27 =311

2. 9,396 ÷ 18 =522

3. 8,442 ÷ 14 =603

Step-by-step explanation:

D furniture mart

Step-by-step explanation:

This is the best shop based on the name

Answer:

Kings Row, because you get 1/4th the price off.

Answer:

4

Step-by-step explanation

+8  + (-7)  + (+11) + (-2)= 4

The value of the series plays is 10.

--------------------------

In this question, we have to find the total amount of points, considering the number of points on each series.

--------------------------

The total is:

\(T = 8 - 7 + 11 - 2 = 1 + 9 = 10\)

10 points.

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Answer:

Number 4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

cos x = 18/22

          = 9/8

          =1.1250

Answer:

We are looking for a new number which is 690 less than 4995.

We will get the new number by subtracting 690 from 4995.

We write it down as:

4995-690=4305

And finally the solution for: What number is 690 less than 4995?

is 4305

Step-by-step explanation:

Answer: t he answer is 4305 because 4995 - 690

Step-by-step explanation:

We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.

However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.

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The answer is option a) Yes. Lines ℓ and k are parallel to each other.

The two distinct lines defined by the following two equations in slope-intercept form are:

Line ℓ: y = 34x + 6

Line k: y = 34x - 7

To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.

Both lines are in slope-intercept form, so we can immediately read off their slopes:

Line ℓ has a slope of 34, and line k has a slope of 34.

Both the lines ℓ and k have the same slope of 34.

Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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The tangent plane approximation at h(4.001,0.997) is 72.026, where h(x, y) = x³ + 2xy.

Plane is h(x, y) = x³ + 2xy.

Substitute the value of x and y in the plane

h(4, 1) = (4)³ + 2(4)(1)

h(4, 1) = 64 + 8

h(4, 1) = 72

Partial Differentiation with respect to x

hₓ = ∂h/∂x

hₓ = 3x² + 2y

at (4, 1)

hₓ = 3(4)² + 2(1)

hₓ = 3(16) + 2

hₓ = 48 + 2

hₓ = 50

Partial Differentiation with respect to x

\(h_{y}\) = ∂h/∂y

\(h_{y}\) = 2x

at (4, 1)

\(h_{y}\) = 2(4)

\(h_{y}\) = 8

tangent plane is

z = h(4, 1) + hₓ(x - x₀) + \(h_{y}\)(y - y₀)

z = 72 + 50(x - 4) + 8(y - 1)

z = 72 + 50x - 200 + 8y - 8

z = 50x + 8y - 136

at (x, y) = (4.001, 0.997)

z = 50(4.001) + 8(0.997) - 136

z = 200.05 + 7.976 - 136

z = 72.026

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Answer:

umm is there a diagram for this?

118°

The overall shape is a quadrilateral. meaning total angles on the inside = 360°

each side is equal and therefore both CDE and CFE are the same. 90 + 34 = 124

360 - 124 = 236

236/2 = 118 therefore you answer is 118°

Step-by-step explanation:

According to given table we have pairs of points:

The rate of change is:

or

It is 2.25 and the meaning is:

Based on the interquartile range, the true statement about the box plots is: D. Number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

The interquartile range is the range of the box, which is the difference between the upper and lower quartile. Interquartile range is a measure of variation. The larger the value, the more the variation of the data.

Interquartile range for cracker = 85 - 75 = 10

Interquartile range for trail mix = 105 - 90 = 15

This means that the variation for trail mix is greater.

Therefore, the statement that is true is: D. Number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

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Answer:d

Step-by-step explanation:

As per the concept of linear equation, the equation of that represents the function is y = 1/3x

The term linear equation in math refers an equation in which the highest power of the variable is always 1

Here we have to convert feet to yards, you multiply the number of feet by 1/3 and then we have to name the two quantities in this situation that are in a functional relationship.

As we know that,

=> 1 feet = 3 yards

So, here we have to find the feet by multiply 1/3 with the unknown values that is written as x.

Here let us assume the variables are x and y, where x represents feet and y represents yard.

Here the unit in feet is multiplied by 1/3 to get the unit in yard.

Therefore, the resulting equation is written as,

=> y = 1/3 x

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Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.

To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)

1 3/4 cups + 3 1/5 cups

= 1 + 3/4 + 3 + 1/5

Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal

= 1 + 15/20 + 3 + 4/20

= 4 + 19/20

= 4 19/20 cups

4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.

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