How many license plates in Ontario were registered between the following licence plates? As the question is asking for plates between the given ones, you should consider that these plates are NOT included in the range. From: AVVJ 144 To: BVNP 199

Answer:

Total time = 19 minutes.

Step-by-step explanation:

Given the following data;

Time to shower = 720 seconds

Time to eat breakfast = 420 seconds

To find the total time in minutes;

Total time = 720 + 420

Total time = 1140 seconds

We know that 60 seconds equals a minute.

Total time = 1140/60

Total time = 19 minutes.

Therefore, it will take Andrew 19 minutes to take a shower and eat breakfast.

The number of women ran faster, if there were 405 women who ran in Joans age group is 109.

The standard deviation of Joans' finishing time for the 10k race is given as 1.78. Assuming a normal distribution, we can use this information to determine how many women ran faster.

To solve this problem, we need to calculate the z-score for Joans' finishing time. The z-score tells us how many standard deviations away from the mean Joans' time is. We can use the formula:

z = (x - μ) / σ Where: - x is Joans' finishing time, μ is the mean finishing time for the women in her age group, σ is the standard deviation of the finishing times for the women in her age group.

We can determine the number of women who ran faster by using the properties of the normal distribution. In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Since Joans' finishing time is 1.78 standard deviations away from the mean, we can estimate that approximately 95% - 68% = 27% of the women in her age group ran faster than her.

To find the actual number of women who ran faster, we need to multiply this percentage by the total number of women in her age group (405):

27% of 405 = 0.27 * 405 = 109.35 Therefore, approximately 109 women ran faster than Joans in the 10k race.

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If a car uses 1.5 gallons of gas every 30 miles, it means that it uses 0.05 gallons of gas per mile. Therefore, if you have 6 gallons of gas, you can drive for:

6 gallons / 0.05 gallons per mile = 120 miles
So you can drive for 120 miles with 6 gallons of gas.
To find out how many miles can be driven with 6 gallons of gas, you can use the given ratio of 1.5 gallons for every 30 miles.

First, find out how many times 1.5 gallons fits into 6 gallons:
6 gallons / 1.5 gallons = 4
Now, multiply this number (4) by the 30 miles per 1.5 gallons:
4 * 30 miles = 120 miles

So, with 6 gallons of gas, you can drive 120 miles.

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Using subtraction and division operations, the amount you receive for each soup mix sold is $6.

Subtraction and division operations are two of the four basic mathematical operations. The other two are multiplication and addition.

Mathematical operations combine variables, numbers, and mathematical operands to solve mathematical problems.

The number of soup mixes sold = 16

The total sales revenue = 16x + 96

The amount for the company that makes the soup = 16x

The amount that the seller receives = 96 (16x + 96 - 16x)

The amount the seller receives per soup mix = The total revenue received divided by the number of units sold

= 6 (96/16)

Thus, for each soup mix that you sell, you receive $6.

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There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The homogeneity of variance assumption assumes that the two populations have equal variances. Therefore, the correct answer is option c, "The two populations have equal variances."

This assumption is often made in statistical tests that compare the means of two groups, such as the t-test.

When the variances of the two populations are equal, it allows for more precise estimates of the standard error and can improve the accuracy of the test results.

However, if the variances are not equal, it can lead to biased and unreliable results.

In such cases, alternative methods, such as Welch's t-test or the Brown-Forsythe test, can be used to adjust for unequal variances.

Hence, homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

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Answer:

2*x^(3/8)

Step-by-step explanation:

Answer:

2*x^(3/8)

Step-by-step explanation:

khan

The area of the lawn in the scale drawing is approximately 996 square feet.

1. Measure the length and width of the lawn in inches on the scale drawing.

Length = 16.5 inches

Width = 15.5 inches

2. Convert the measurements to feet by dividing the inches by 12.

Length = 16.5/12 = 1.375 feet

Width = 15.5/12 = 1.291 feet

3. Calculate the area of the lawn by multiplying the length and width.

Area = 1.375 x 1.291 = 1.75 square feet

4. Multiply the area by the scale factor (in this case, 560) to get the actual area.

Area = 1.75 x 560 = 996 square feet

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Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.

Let's fix this issue using a set of equations. Assume that x is the quantity of lollipops sold and y is the quantity of fruit snacks sold.

Then we have two equations based on the information given:

x + y = 13.(Total number of fruit snacks and lollipops sold)

1.5x + 1.25y= 18.25 (total amount of money earned)  

To solve for x and y, we can use the substitution method :

x + y = 13 (equation 1)

1.5x + 1.25y = 18.25 (equation 2)

From equation 1, we have x = 13 - y. Substituting this into equation 2, we get:

1.5(13 - y) + 1.25y = 18.25

Simplifying and solving for y, we get

19.5 - 0.25y = 18.25

-0.25y = -1.25

y = 5

Nakeisha therefore sold 5 fruit treats. We may change y = 5 into equation 1 and solve for x to get the quantity of lollipops sold:

x + 5 = 13

x = 8

Therefore, Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.

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Answer:

They Played 15 games total

Step-by-step explanation:

Make ratios:

9:60 %

x:100 %

Cross multiply: 60 times x =60x and 9x100= 900 = 60x=900

Divide to get x: 60x/60=900/60

x=15

They Played 15 games total

Please mark brainliest and have a awesome day

The intersection of a line and a plane may produce three possible outcomes: a single point, a line contained within the plane, or no intersection.

Three potential solutions exist for the intersection of a line and a plane. The first is when a line and a plane intersect at a single point. The second one is when a line is contained within the plane. The third one is when a line and a plane do not intersect each other. The intersection point is identified in the first case. In the second case, it is a line. There is no intersection in the third situation.

In the first case, a line and a plane intersect at a single point. In the second case, a line is contained within the plane. In the third case, there is no intersection between the line and the plane. The intersection point is located in the first case. The second case produces a line. In the third scenario, there is no intersection. The parametric equation of a line perpendicular to a plane can be calculated using the dot product of the plane's normal vector and the line's direction vector.  

The dot product of the plane's normal vector and the line's direction vector is used to obtain the parametric equation of a line perpendicular to a plane.

To calculate the equation of the line passing through (2, -1, 3) perpendicular to the plane x - 6y + 4z = 12, we should first find the normal vector of the plane.

The coefficients of x, y, and z in equation x - 6y + 4z = 12 correspond to the elements of the normal vector, which are (1,-6,4).

Let the vector representing the line be v. Since the line is perpendicular to the plane; the vector v is perpendicular to the normal vector of the plane. Let the direction vector of the line be (a, b, c), so we have:

a-6b+4c=0

The vector (a, b, c) is parallel to the line. Therefore the line can be represented parametrically as follows:

x = 2 + at,

y = -1 + b,

z = 3 + ct

Plug in a=6b-4c, and the parametric equation of the line can be written as :

x=2+6bt-4ct

y=-1+bt,

z=3+ct

This is the parametric equation of the line passing through (2, -1, 3) perpendicular to the plane x - 6y + 4z = 12. The intersection of a line and a plane may produce three possible outcomes: a single point, a line contained within the plane, or no intersection.

The plane's normal vector and the line's direction vector can be used to calculate the parametric equation of a line perpendicular to the plane. By using the dot product of the normal vector and the direction vectors' dot product, we can obtain the equation of the line passing through a given point perpendicular to the plane.

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The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Answer:

3(4m - 3n)

Step-by-step explanation:

\(12m - 9n\)

\( = 3(4m - 3n)\)

The partial derivative of z with respect to x is 28x^3(x^4 - y)^6.

To find the partial derivative of z with respect to x, we treat y as a constant and differentiate z with respect to x while holding y fixed:

z = (x^4 - y)^7

Taking the derivative with respect to x, we use the chain rule:

∂z/∂x = 7(x^4 - y)^6 * d/dx(x^4 - y)

Now we need to differentiate x^4 - y with respect to x:

d/dx(x^4 - y) = 4x^3

Substituting this back into the expression for ∂z/∂x, we get:

∂z/∂x = 7(x^4 - y)^6 * 4x^3

Simplifying, we get:

∂z/∂x = 28x^3(x^4 - y)^6

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The amount of energy required to move the book from the shelf to the floor, taking into account the force applied by Jessica and the distance over which the force was applied is 19.6 Joules.

To find the amount of work done on the book, we need to know the force that Jessica applied to the book and the distance over which she applied the force.

Based on the information provided, it seems that Jessica applied a force in the downward direction to move the book from the 2 m high shelf to the floor. The displacement of the book would also be in the downward direction, from the shelf to the floor.

To calculate the amount of work done on the book, we can use the formula: Work = Force x Distance.

If we assume that the force applied by Jessica was constant and equal to the weight of the book (1 kg x 9.8 m/s2 = 9.8 N), and the distance over which she applied the force was the distance from the shelf to the floor (2 m), then the work done on the book would be:

Work = 9.8 N x 2 m = 19.6 Joules.

Hence, the amount of energy required to move the book from the shelf to the floor, taking into account the force applied by Jessica and the distance over which the force was applied is 19.6 Joules.

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Answer:

y=4x+24

Step-by-step explanation:

1: find slope

\(\frac{0+24}{-6-0}\)

\(\frac{24}{-6}\)

4

2:plug into point-slope form

y-0=4(x+6)

y=4x+24

Answer:

y = -4x - 24

Step-by-step explanation:

slope = -4

Answer:

22

Step-by-step explanation:

3-1=2

2+3^2 x 2

3x3=9

2+9 x2

11x2=22

The graph of the linear equation y = (1/4)*x - 1 is on the image at the end.

To graph the line, we need to find two points that belong to the line, and then we can connect them with a line.

So let's evaluate the linear equation.

if x = 0

y = (1/4)*0 - 1 = -1

We have the point (0, -1)

Now let's get another point:

if x = 4

y = (1/4)*4 - 1 = 4 - 1 = 3

We have the point (4, 3)

Now graph these two points and draw a line that connects them.

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A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

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Answer:

Step-by-step explanation:

1 answer. 10

2 answer. 8

Answer:

∠3 = ∠6 = ∠8

Step-by-step explanation:

∠3 = ∠8 (Vertically opposite angles)

∠3 = ∠6 (Alternate inner angles)

∠3 = ∠1 (Corresponding angles)

Therefore, ∠3 = ∠6 = ∠8

Hoped this helped.

Answer:

fidgety ushering txt scarecrow

The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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By using the concept of probability, it can be calculated that

a)  P(X \(\leq\) 1) = 0.25

b) P(0.5 \(\leq\) X \(\leq\) 1)  = 0.1875

c) P(X > 1.5) = 0.4375

d) Median = 1.414

e) F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2

           0, otherwise

f) E(X) = 1.33

g) V(X) = 0.2311, SD(X) = 0.4807

h)  E(h(X)) = 2

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

The cdf is

f(x) = \(\left \{ {\frac{x^2}{4}},{ 0 \leq x \leq 2} \atop {1, x=2}} \right.\)

Now,

a) P(X \(\leq\) 1) = \(\frac{1^2}{4} = 0.25\)

b) P(0.5 \(\leq\) X \(\leq\) 1)

= \(\frac{1^2}{4} - \frac{0.5^2}{4}\\\\\frac{3}{16}\\\\0.1875\)

c) P(X > 1.5) = 1 - P(X \(\leq\) 1.5)

                      \(1 - \frac{1.5^2}{4}\)

                       0.4375

d) Let \(\mu\) be the median

P(x \(\leq \mu\)) = 0.5

\(\frac{\mu^2}{4} = 0.5\)

\(\mu^2 = 0.5 \times 4 =2\\\mu = \sqrt{2}\\\mu = 1.414\)

e) F'(x) =

\(\frac{2x}{4}, 0 \leq x \leq 2\\0, otherwise\)

F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2

           0, otherwise

f) E(x) =

\(\int_0^2 x \times 0.5 xdx\\=0.5 \times \frac{x^3}{3} |_0^2 \\=0.5 \times \frac{2^3}{3}\\=\frac{4}{3}\\=1.33\)

g) V(X) = E(\(X^2\)) -\((E(X))^2\)

    E(X^2) =

                   \(\int_0^2x^2(0.5x)dx \\0.5 \times \frac{x^4}{4}|_0^2\\2\)

\(V(X) = 2 - (1.33)^2\)

V(X) = 0.2311

SD(X) = \(\sqrt{0.2311} = 0.4807\)

h) h(X) = \(X^2\)

   E(h(X)) = \(\int_0^2X^2({0.5X)dx\)

               = \(0.5 \frac{x^4}{4}|_0^2\)

               = \(0.5 \times \frac{2^4}{4}\)

               = 2

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Answer:

320

Step-by-step explanation:

distance=speed*time= 8 *40.

Answer:

3 of the DVDs were documentaries.

Step-by-step explanation:

We know that at first, there were 15 DVDs in total.

Now, we need to find how much 1/5 of 15 DVDs were equal to.

1/5 of 15 is equal to the number 3.

So, that means our answer is 3 of the DVDs are documentaries.

Hope this helps.

Answer:

I think the answer should be 3.