A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answer:

0.006 km

Step-by-step explanation:

600 cm to km

we have to divide by 100000

=> 600/100000

=>6/10000

=>0.006 km

Alicia read 1/3 of a book in the morning and still had 1/4 of the book left to read by the end of the day. Alicia read 5/12 of the book at night.

The question asks how much of the book Alicia read at night.

Let's assume the total book is represented by the unit "1." Alicia read 1/3 of the book in the morning, leaving 2/3 of the book unread. By the end of the day, she still had 1/4 of the book left to read, which is equal to 1/4 of the original 2/3.

To find out how much Alicia read at night, we need to subtract the remaining fraction from the initial 2/3.

2/3 - 1/4 = 8/12 - 3/12 = 5/12

Therefore, Alicia read 5/12 of the book at night.


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Answer:

Start at 13, then count 5 more to the right. You will end at 18, which is your answer.

Step-by-step explanation:

Answer:

the anser is 18

Step-by-step explanation:

you would start at the mark that indicates 13 and go up or to the right 5 more marks or to whichever mark indicates 18

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = \(\frac{6-4}{-1-1}\) = \(\frac{2}{-2}\) = - 1

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Answer:

here you are:

the midpoint for (-6,8) and (6,-7) is (0, 1/2)

Step-by-step explanation:

the midpoint for (-6,8) and (6,-7) is (0, 1/2)

Answer:

Exact Form: -29/5

Decimal Form:-5.8

Mixed Number Form:-5 4/5

Step-by-step explanation:

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

1. a

2. c

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The answer is 4x+5y=6.

A linear function has a single slope. A function with exponents will not be linear.

-hope it helps

Answer:

The first one yes

The second one yes they are congruent

The third one yes because when you divided 34 by 27.2(34/27.2) =1.25, 23 by 18.4 (23/18.4)=1.25 and 31 by 24.8(31/24.8)=1.25 so they are proportional.

Answer:

The rate of Trip 2 is 5  km/h.

The time of Trip 1 is 0.9-x hours.

Step-by-step explanation:

right on edg 2020

We can utilise the five triangles in the provided heptagon and the characteristics of triangles to demonstrate that the total interior angle of a heptagon is 900 degrees.

A triangle's internal angles are always added up to 180 degrees. The inner angles of the five triangles that make up the heptagon add up to 5 * 180, or 900 degrees.

The total of the interior angles of the heptagon can be calculated using the five triangles that make up the shape. We can see that the sum of the interior angles of the heptagon equals the sum of the angles of the five triangles because the angles of the heptagon are labelled.

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Answer:

the 24th day they'll be there

Step-by-step explanation:

4 8 12 16 20 24

6 12 18 24

Answer:

4 out of 256

Step-by-step explanation:

trust me. Also I’m trying to level up my Brainly so when someone else answers the question can you try to mark me brainliest.

Given the word problem, we can deduce the following information:

1. The diameter of the circle is 3 meters.

2. The side length of the square is 3 meters.

To determine the difference in area between a circle and a square, we note first the formulas of a circle with a diameter d and the area of a square with side length d:

where:

d=diameter

where:

d=side length

The figures are shown below:

Based on this, the difference of areas would be:

Next, we plug in d=3:

Therefore, the difference in areas is:

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

We have,

To determine if the die is balanced, we can perform a chi-square test of goodness of fit.

The null hypothesis is that the die is balanced, and the alternative hypothesis is that the die is not balanced.

First, let's calculate the expected frequencies for each outcome assuming the die is balanced. Since there are 180 tosses in total, each outcome is expected to have an equal probability of 1/6.

Expected frequency for each outcome

= (Total tosses) x (Probability of each outcome)

Expected frequency for each outcome = (180) x (1/6)

Expected frequency for each outcome = 30

Now, we can calculate the chi-square test statistic using the formula:

χ² = Σ [(Observed frequency - Expected frequency)² / Expected frequency]

Let's calculate the chi-square test statistic:

χ² = [(28 - 30)² / 30] + [(36 - 30)² / 30] + [(36 - 30)² / 30] + [(30 - 30)² / 30] + [(27 - 30)² / 30] + [(23 - 30)² / 30]

χ² = [(-2)² / 30] + [(6)² / 30] + [(6)² / 30] + [(0)² / 30] + [(-3)² / 30] + [(7)² / 30]

χ² = 4/30 + 36/30 + 36/30 + 0/30 + 9/30 + 49/30

χ² = 134/30

χ² ≈ 4.467

Next, we need to compare the calculated chi-square value to the critical chi-square value at a significance level of 0.01 and degrees of freedom equal to the number of outcomes minus 1 (6 - 1 = 5).

Looking up the critical chi-square value in a chi-square distribution table with 5 degrees of freedom and a significance level of 0.01, we find it to be approximately 15.086.

Since the calculated chi-square value (4.467) is less than the critical chi-square value (15.086), we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that the die is not balanced at a 0.01 level of significance.

Thus,

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

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a) The magnitude of Pˉ is P.  b) The direction cosine of Pˉ with respect to the x-axis is 110/P.  c) The directional angle of Pˉ with respect to the z-axis is arctan(60/√(110^2+(-0.58P)^2)).

a) To find the magnitude of vector Pˉ, we use the formula for the magnitude of a vector in three dimensions, which is the square root of the sum of the squares of its components.

b) The direction cosine of a vector with respect to a specific axis is the ratio of the component of the vector along that axis to its magnitude. In this case, the x-component of Pˉ is 110, so the direction cosine with respect to the x-axis is 110 / P.

c) The directional angle of a vector with respect to a specific axis can be found using the arctan function. In this case, we use the y-component and z-component of Pˉ to find the angle between Pˉ and the z-axis.

Therefore, the magnitude of Pˉ is given by P, the direction cosine with respect to the x-axis is cos(θ_x), and the directional angle with respect to the z-axis is θ_z.

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The combined area of these 2 tracts is 307500 square meters.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. A rectangle has an area of length width. Thus, width equals area divided by length, or 24 square units divided by 4 or 6 units.

Given

Area of rectangle = l× b

Guadalupe owns 2 rectangular tracts of land. one is 300 m by 500 m

Area = 300 × 500

Area = 150000m²

And the other is 250 m by 630 m.

Area = 250 × 630

Area = 157500m²

Combined area = 150000 + 157500

Combined area = 307500m²

The combined area of these 2 tracts is 307500 square meters.

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After considering the given data we conclude that the magnitude will be positive and the angle come in the range between -180° and 180°, the polar form of the expression is approximately 6.604 < 0°

To calculate the expression and convert it to polar form, let's break it down step by step:
First, Convert the angle to radians
\(245\textdegree = 245 * \pi/180 \approx 4.286 radians\)
Then, Evaluate the expression
\(60 < 245\textdegree : 6.4 - f_{10} -f_3\)
Let's apply substitution of \(f_{10}\) and \(f_3\) with their respective values:
\(f_{10} = 10 * e^{(j_0)}\)
\(= 10 * (cos(0) + j * sin(0))\)
\(= 10 * (1 + j0)\)
\(= 10 + j0\)
= 10
\(f_3 = 3 * e^{(j_0)}\)
\(= 3 * (cos(0) + j * sin(0))\)
\(= 3 * (1 + j_0)\)
\(= 3 + j_0\)
= 3
Now we can apply substitution of these values back into the expression:
\(60 < 245\textdegree : 6.4 - f_{10} - f_3\)
= 60 < 245° : 6.4 - 10 - 3
= 60 < 245° : -6.6
Thirdly, Convert the result to polar form
To alter the result to polar form, we calculate the magnitude and the angle.
Magnitude:
\(Magnitude = \sqrt(Real^2 + Imaginary^2)\)
\(= \sqrt((-6.6)^2 + 0^2)\)
\(= \sqrt(43.56)\)
≈ 6.604
Then the Angle:
\(Angle = arctan(Imaginary / Real)\)
= arctan(0 / -6.6)
= arctan(0)
= 0°
Hence the magnitude should be positive and the angle will be between -180° and 180°, the polar form of the expression is approximately 6.604 < 0°
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The complete question is given in the figure

Answer:

f(2)=6

f^-1(x)=2x-10

f^-1(5)=0

hope it helps

Answer:

So if he's paid £1500 and he's getting an increase of 3%, we only need to calculate the 3% of 1500 and then add it what he's paid now (£1500)

To calculate the x% of a number, we multiply the number by \(\frac{x}{100}\)%.

So, if we want to calculate the 3%, we need to multiply by \(\frac{3}{100}\)%, by 0.03:

1500 * 0.03 = £45

So now, we know he'll be paid £45 more than the last month, so we sum what he got before (£1500) plus those £45.

1500 + 45 = £1545

Residual sum of squares (RSS) is a measure of the total amount of variance in a given data set that is not explained by a model.

It is equal to the sum of squared differences between the observed data values and the predicted values from the model. This measure is commonly used in regression analysis to evaluate the performance of a model. The formula for RSS is  RSS = Σ(y_i - ȳ)², where y_i is the observed value and ȳ is the predicted value.For example, let's say we have a data set of 10 observations (y_1, y_2, ...,y_10). We fit a linear regression model to the data set which predicts a value ȳ_i for each observation. The RSS for this model is calculated by summing the squared differences between the observed values (y_i) and the predicted values (ȳ_i) for each of the 10 observations. This yields the RSS, which is a measure of how much of the variance of the data set is not explained by the model.

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Answer:

3/0

Step-by-step explanation:

to find the slope use rise over run or y-y/x-x, in this case, 2-(-1)/-6-(-6)the negative and the subtraction sign cancel out resulting in something like this: 2+1/-6+6 equaling 3/0

I hope this helps have a nice day

The volume of the cone in terms of pi is 216π cm³.

The figure 15 in the image is a cone.

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is radius of the base, h is the height of the cone and π is constant

From the image:

Diameter = 12 cm

Radius r = diameter/2 = 12/2 = 6cm

Height h = 18 cm

Volume V = ?

Plug the given values into the above formula and solve for V.

V = (1/3)πr²h

V = (1/3) × π × 6² × 18

V = 216π cm³

Therefore, the volume is 216π cm³.

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The annual growth factor represents the rate at which an investment grows each year. It is calculated by adding 1 to the growth rate expressed as a decimal.

In this case, the investment is growing by 7.5% each year. To express this as a decimal, we divide 7.5 by 100, which gives us 0.075. The annual growth factor is then calculated by adding 1 to the growth rate: 1 + 0.075 = 1.075.

Therefore, the annual growth factor is 1.075. This means that the investment grows by a factor of 1.075 each year, which corresponds to a 7.5% increase from the previous year's value.

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The area of parallelogram with "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches" is 60√3 inch².

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.

Here,

A parallelogram has adjacent angles that add up to 180 degrees.

Since one angle of parallelogram is 120°.

240+2x=360

2x=120

x=60

The other will be 60°

The area of parallelogram= lh

l=15 inch

h=b(sin 60°)

=8*√3/2

h=4√3 inch

area of parallelogram= 15*4√3

= 60√3 inch²

The parallelogram's area is 60√3 inch² when "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches."

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