The average amount of money a person spends on lottery tickets each month is €6. By looking at the data​ set, a Poisson discrete distribution is assumed for this variable. Calculate each of the following.
a. The probability of buying no lottery ticket.
b. The probability of buying 1 lottery ticket.
c. The probability of buying 2 lottery tickets.
d. The probability of buying fewer than or equal 3 tickets.

Answer:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Step-by-step explanation:

Answer:

641799

Step-by-step explanation:

274561

+367238

641799

Answer: We can use the following formula for the union of two sets:

n(A U B) = n(A) + n(B) - n(A ∩ B)

where n(A ∩ B) is the number of elements in the intersection of A and B.

Substituting the given values, we get:

n(A U B) = n(A) + n(B) - n(A ∩ B)

n(A U B) = 25 + 18 - 7

n(A U B) = 36

Therefore, the value of n(A U B) is 36.

Answer:

the diameter is 14 and the perimeter is 43.97

Answer:

$2.79 per pound of apple.

Step-by-step explanation:

\(\frac{3}{8.37}=\frac{1}{x}\)

\(3x = 8.37\)

\(x = 2.79\)

Answer: 0.0139358  

Step-by-step explanation: 999,999,999,999,999,999,999,999,999,999,999% sure!

The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

\(I=\dfrac{Prt}{100}\)

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

\(P=83.42\times12\\P=1001.04\)

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

\(I=\dfrac{1001.04\times1.83}{100}\\I=54.06\)

The total total amount in his bank account after 3 years is,

\(A=P+I\\A=1001.04+54.06\\A=1055.10\)

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

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Answer:

b.

$1,055.10

Step-by-step explanation:

right on edg 22

Answer:

Yes

Step-by-step explanation:

Any whole number is an integer.

Yes, because any whole number, positive or negative, is an integer.

Answer:

A

Step-by-step explanation:

Multiply the number by every element of the matrix. Answer: A

The range of people who like both coffee and tea is between 75% and 75%, with the total number of people who like both being 75%.

If 70% of people like coffee, and 80% of people like tea, the minimum number of people who like both coffee and tea is the smaller percentage, which is 70%. The maximum number of people who like both coffee and tea is the smaller of the two percentages, which is 80%.

Therefore, the range of people who like both coffee and tea is 70% to 80%.

To calculate the actual range, you must first calculate the difference between the two percentages:80% - 70% = 10%

Then divide that difference by 2 and subtract and add it to the smaller number:

10% ÷ 2 = 5%

Lower bound: 70% + 5% = 75%

Upper bound: 80% - 5% = 75%

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Answer:

Ok

Step-by-step explanation:

Y = mx + c

Slope is for the gradient =m therefore we have +3 as our gradient

Now we are going to substitute pont - 8mac- 8 on the above equation

Y = mx +c

-8=3(-8) +c

-8=-24 +c

-8+24 =c

16=c

This means that the y intecept of this straight line is 0 mac 16

Meaning that when the line touches the y axis at 16 x will be equal to zero

Therefore our equation is

Y =3x +16

Answer:

Step-by-step explanation:

Answer:38

Step-by-step explanation:

Using the distance between two points, it is found that you travel approximately 41 meters.

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

In this problem, we have that:

Hence the distance is:

D = sqrt[(-15 - (-25))² + (15 - (-25))²] = sqrt(10² + 40²) = 41 meters.

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The equation use to determine the value of \(x\) is \((2x+5)+3(2x+5)=92\).

The measures of \(\angle A, \angle B\) are \(23^\circ, 69^\circ.\)

Let us assume the measures of \(\angle A, \angle B\) are \(z, y\).

Now according to the question, we can write the relation between \(\angle A, \angle B\) is \(y=3z....(i)\).

We know, the measure of \(\angle A\) is \(2x+5\) so \(2x+5=z....(ii)\). Now, we will substitute the value of \(z\) from equation \((ii)\) in equation \((i)\).

\(y=3z\\= 3 \times (2x+5)\\=6x+15\)

So, the final equation will be \((2x+5)+3(2x+5)=92\)

⇒ \(6x+15+2x+5=92\)

⇒ \(8x+20=92\)

⇒ \(8x=72\)

⇒ \(x=9\)

\(\therefore\) measure of \(\angle A\) is \(2x+5=(2 \times 9)+1=25\) and measure of \(\angle B\) is \(2 \times 23 = 69\).

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Use the rules of exponents to divide variables with the same base when dividing monomials. According to this rule, the base should remain in the position (numerator or denominator) where the greater exponent was when dividing variables with the same base after the exponents have been subtracted.

In order to divide a polynomial by a monomial, let's first divide a monomial by another monomial. The monomial should be divided into numerical and variable factors. By deducting the exponents of each y term, divide the coefficients and variables.

Let's go over the three steps that must be completed in order to divide a polynomial by a monomial. Rewrite the issue and divide each polynomial term by the monomial as a first step. Dividing the numbers is the next step. Divide the variables is the third and last stage.

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The answer to all the questions is illustrated below.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given information,

a. The percentage of women actually pregnant is,

= [(90 + 30)/300]×100%.

= (120/300)×100%.

= 40%.

b. The percentage of women who received a positive result is,

= [(90 + 15)/300]×100%.

= [105/300]×100%.

= 35%.

c. The false positive rate is,

= (15/105)×100%.

= 14%.

d. The negative-positive rate is,

= (30/195)×100%.

= 15%.

e. The percentage of women who were not pregnant received a negative test result is,

= (30/195)×100%.

= 15%.

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Given the equation of a parabola:

• You can rewrite it in Standard Form by following these steps:

1. Add the y-term to both sides of the equation:

2. Subtract the Constant Term from both sides of the equation:

3. Divide both sides of the equation by 5 (the leading coefficient)

4. The coefficient of the x-term is:

Then, you need to add this value to both sides:

Therefore.

5. Rewrite the equation as follows:

• Having the equation written in Standard Form:

You can identify that:

Solving for "p", you get:

• You can identify that:

Therefore, the Vertex is:

• By definition, the Focus of a parabola that opens upward is given by:

Then, in this case, this is:

• By definition, the Directrix for a parabola that opens upward is given by:

Then, in this case, you get:

Hence, the answers are:

• Standard Form:

• Value for "p":

• Vertex:

• Focus:

• Directrix:

The domain of the rational function  \(\frac{x^3 + 5x^2 + 3x - 9}{x^2 -x - 2}\) is:

D: {x ∈ R| x ≠ -1, 2}

The domain will be the set of all real numbers, minus these ones that make the denominator equal to zero.

The denominator will be zero when:

x² - x - 2  =0

Using the quadratic formula we will get:

\(x = \frac{1 \pm \sqrt{(-1)^2 - 4*1*-2} }{2*1} \\\\x = \frac{1 \pm 3}{2}\)

The two solutions are:

x = (1 + 3)/2 = 2

x = (1 - 3)/2 = -1

If the numerator is not zero on these values, then we need to remove them from the domain.

When x = 2 the numerator is:

2³ + 5*2² + 3*2 - 9 = 25

When x = -1

(-1)³  + 5*(-1)²  + 3*-1 - 9 = -8

Neither of these is zero, so we need to remove x = -1 and x = 2 from the domain, then the domain is:

D: {x ∈ R| x ≠ -1, 2}

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The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer:

if there are any less than 4.84 then yes it is.

Step-by-step explanation:

please give brainliest and hope this helps

Answer:

Step-by-step explanation:

Answer is 65 simple

The Average speed of a world class sprinter, is he runs 100 yards in 10 sec is 36 km/h.

If an athlete can run 100 meters in 10 seconds,  It is said that he cannot run 10 meters in one second. That may also apply to the physical world we live in. But you clearly state that you want to say mathematically whether he ran 10 meters in his 1 second.

If a sprinter runs 100 meters in 10 seconds, then, First, we need to convert meters to kilometers and seconds to hours. 1 meter = 1/1000 kilometers 100 meters = 100/1000 kilometers = 1/10 = 0.1 kilometers 1 second = 1/3600 hours 10 seconds = 10/3600 = 1/360 hours.

Now,
According to the question:

Given that,

Distance covered by sprinkler = 100m

Time taken by sprinkler = 10 seconds

Using the equation of velocity

Distance/ Time = velocity

Now, substituting the values -

= 100/10

= 10

Thus, the velocity is 10m/s

To convert it into m/s in to km/h -

= (10/1000) x 3600

= 36000/1000

= 36

Therefore, The average velocity of sprinkler is 36 km/h

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The diameter of the headlight's opening is 4 inches.

To find the diameter of the headlight's opening, we need to determine the distance between the two points on the paraboloid where the depth is 2 inches.

Using the formula for the paraboloid of revolution, we know that the equation for the shape of the headlight is:
\(y^2 = 4px\)

where p is the distance from the vertex to the focus. In this case, p = 1 inch.

To find the distance between two points on the paraboloid where the depth is 2 inches, we can set y = ±2 and solve for x:

\(4p^2 = 4x(\pm2)\\x = p^2/\pm1\)

Since we're interested in the distance between two points, we can subtract the two x-values:

\(x^2 - x^1 = p^{2/1} - p^{2/-1}\\x^2 - x^1 = 2p^2\)
Substituting in the value of p, we get:

x2 - x1 = 2(1^2) = 2

So the distance between the two points where the depth is 2 inches is 2 inches.

To find the diameter of the headlight's opening, we need to double this distance and then multiply by the focal length:

d = 2(2)(1) = 4 inches

Therefore, the diameter of the headlight's opening is 4 inches.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Ordered pairs of points that can be plotted to graph are (-1,1),(1,5).

The correct option is (b).

A graph is a structure made up of a collection of things where some object pairs are conceptually "connected." Each pair of connected vertices is known as an edge, and the items are represented by mathematical abstractions called vertices (also known as nodes or points) (also called a link or line). In a diagram, a graph is often represented by a group of dots or circles for the vertices and lines or curves for the edges. Graphs are one of the subjects covered in discrete mathematics. Both directed and undirected edges are possible. The fundamental topic of graph theory is graphs.

Calculation:

We have to find the ordered pair of points that can be plotted to graph of 6x - 3y = -9

By putting x =  -1

⇒ -6 - 3y = -9

⇒ 3 = 3y

⇒ y = 1

By putting x = 0

⇒ -3y = -9

⇒ y = 3

By putting x = 1

⇒ 6 - 3y = -9

⇒ 15 = 3y

⇒ y =  5

So, the ordered pairs obtained are (-1,1),(0,3) and (1,5).

Hence, the correct option is (b)

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\((\stackrel{x_1}{-6}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-6)}}} \implies \cfrac{4 +5}{6 +6} \implies \cfrac{ 9 }{ 12 } \implies \cfrac{3 }{ 4 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ \cfrac{3 }{ 4 }}(x-\stackrel{x_1}{(-6)}) \implies y +5 = \cfrac{3 }{ 4 } ( x +6) \\\\\\ y+5=\cfrac{3 }{ 4 }x+\cfrac{9}{2}\implies y=\cfrac{3 }{ 4 }x+\cfrac{9}{2}-5\implies {\Large \begin{array}{llll} y=\cfrac{3 }{ 4 }x-\cfrac{1}{2} \end{array}}\)

Answer:

\(\displaystyle \boxed{ y=\frac{3}{4}x-\frac{1}{2} }\)

Step-by-step explanation:

      First, we will find the slope. This is done by finding the change in y over the change in x.

\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }= \frac{4--5}{6--6} =\frac{4+5}{6+6}=\frac{9}{12}=\frac{3}{4}\)

      Next, we will find the equation. We will create a point-slope equation and simplify into slope-intercept form.

y - 4 = \(\frac{3}{4}\)(x - 6)

y = \(\frac{3}{4}\)x - \(\frac{9}{2}\) + 4

y = \(\frac{3}{4}\)x - \(\frac{1}{2}\)

Answer:

B. false

Step-by-step explanation:

The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.

Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.

Answer:

12.57

Step-by-step explanation: