help help help me please

The total distance Migual ran during these sessions is 13 miles

The line plot represents the given parameter

From the line plot, we have the following frequency table:

Distance   Frequency

0                    0

1/2                  4

1                     3

1 1/2               1

2                    2

2 1/2               1

3                    0

The total distance from the line plot is then represented as

Total distance = Sum of the product of distance and frequency

Mathematically, we have the following equation

Total distance = (0 * 0) + (1/2 * 4) + (1 * 3) + (1 1/2 * 1) + (2 * 2) + (2 1/2 * 1) + (3 * 0)

Evaluate the sum of products

Total distance = 13

Hence, the total distance is 13 units

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Using the given graph we can answer the questions:

a. The parabola opens upward.

b. The coordinates of the vertex, which is the point at the bottom of the parabola, are (2,1).

c. The equation of the axis of symmetry is x=2.

d. The y intercept is 5.

The graph has no x intercepts.

The required value of te angle ∠3 = 100 degree.

A circle is a shape that is made up of all of the points in a plane that are at a certain distance from the center. Alternatively, it is the plane-moving curve traced by a point at a constant distance from a given point.

From the figure of the circle, we can identify that AD and CD are two diameter of the circle.

and ∠COA = ∠3 is inscribed angle made by up by 2 radian of the circle

So, arcCA = ∠3 = 100 degree

Thus, required value of te angle ∠3 = 100 degree.

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"not more" means "less than or equal to". We just have to use the inequality sign "less than or equal to" which means 5 is less than or equal to x.

Having said that, we can express the statement as follows

Answer:

d

Step-by-step explanation:

d because there are no numbers common to  both sets

Disjoint sets are those sets that have no common values between the sets.

A: numbers above 100; B: numbers less than -200​ is a disjoint set.

Option D is the correct answer.

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, complements of sets.

We have,

Disjoint sets are those sets that have no common values between the sets.

a) A: odd numbers; B: the number 5

Set A = {1, 3, 5, 7, 9,.....}

Set B = {5}

A ∩ B = {5}

This is not a disjoint set.

b) A: even numbers; B: numbers greater than 10

A =  {2, 4, 6, 8, 10, , , }

B = {11, 12, 13, 14, 15, 16, 18,,,,,}

A ∩ B = {12, 14, 16, 18,,,}

This is not a disjoint set.

c) A: numbers less than 5; B: all negative numbers

A = {, , ,, -3, -2, -1, 0, 1, 2, 3, 4}

B = {, , , , -3, -2, -1}

A ∩ B = { , , , , -3, -2, -1}

This is not a disjoint set.

d) A: numbers above 100; B: numbers less than -200​

A = {101, 102, 103, 104, ,,,,,,}

B = {, , , , -204, -203, -202, -201}

A ∩ B = Ф

There are no common values between set A and set B.

This is a disjoint set.

Thus,

A: numbers above 100; B: numbers less than -200​ is a disjoint set.

Option D is the correct answer.

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Answer: 1/9

Step by step explanation:

Answer:

1/9

Step-by-step explanation:

Answer:

x = \(\frac{2}{3}\)

Step-by-step explanation:

x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides

x - 5x + 5 = x - 2x + 3

- 4x + 5 = - x + 3 ( add x to both sides )

- 3x + 5 = 3 ( subtract 5 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

x = \(\frac{2}{3}\)

-11/9 < c is the simplest form of the given inequality

What is Linear Inequality?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Solution:

In this question all that we have to do is to seperate the variable terms and the constant terms

It is showwn in the solution below

c - 8 < 10c + 3

-8-3 < 10c - c

-11 < 9c

-11/9 < c

as you can see after seperating the terms we can surely make an inequality

Refer to the Graph Attached

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Answer:

x=21,y=159

Step-by-step explanation:

6x+15=7x-6 ( vertically opposite angles)

x=21°

21°+y = 180° (straight angle)

Answer:

14.3

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(14^{2}\) + \(3^{2}\) = \(c^{2}\)

196 + 9 = \(c^{2}\)

205 = \(c^{2}\)

\(\sqrt{205}\) = \(\sqrt{c^{2} }\)

14.3178210633 ≈ c

14.3 Rounded.

Helping in the name of Jesus.

Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

The equation of hyperboloid of one sheet: \(\frac{x^{2} }{A^{2} } +\frac{y^{2} }{B^{2} } -\frac{z^{2} }{C^{2} } =1\) which is used to calculate hyperboloid.

The most challenging quadric surface is probably the hyperboloid of a single sheet. For starters, it is puzzling since its equation is quite similar to that of a hyperboloid with two sheets. For information on how to tell them apart, see to the section on the two-sheeted hyperboloid. Its cross portions are also highly intricate equation.

Having said all of that, everyone who has watched The Simpsons, even for the first time, will recognize this form. One-sheet hyperboloids have a striking resemblance to Springfield Nuclear Power Plant cooling towers.

The cross sections of a straightforward one-sheeted hyperboloid with A = B = C = 1.

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Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

Answer:

Step-by-step explanation:

Let's start by finding the probability distribution of the random variable Y = [X] + 1, where [X] is the largest integer less than or equal to X. Since X is an exponential random variable with rate λ, its probability density function is:

f_X(x) = λe^(-λx) for x ≥ 0

The probability that Y = k, where k is an integer greater than 1, is:

P(Y = k) = P([X] + 1 = k) = P(k - 1 ≤ X < k) = ∫(k-1)^k f_X(x) dx

Using the probability density function of X, we get:

P(Y = k) = ∫(k-1)^k λe^(-λx) dx = [-e^(-λx)]_(k-1)^k = e^(-λ(k-1)) - e^(-λk)

The probability that Y = 1 is:

P(Y = 1) = P(X < 1) = ∫0^1 λe^(-λx) dx = 1 - e^(-λ)

Therefore, the probability that Y = k, for k ≥ 1, is:

P(Y = k) = (1 - e^(-λ)) * (e^(-λ))^(k-2) for k ≥ 2

This is the probability mass function of a geometric distribution with parameter p = 1 - e^(-λ).

Therefore, we have shown that if X is an exponential random variable with rate λ, then Y = [X] + 1 is a geometric random variable with parameter p = 1 - e^(-λ).


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Answer:

150 is the answer I hope it helps

Answer:

150 miles

Step-by-step explanation:

15 x 2 x 5 = 150

2 times a day for 5 days

The value of n in the given congruent triangle is 6.

Congruent triangles have the same corresponding angle measures and side lengths.

Given that two congruent triangles, Δ ABC ≅ Δ XYZ,

Since, we know that, corresponding parts of congruent triangle are equal,

Therefore,

AB = XY

5n+8 = 38

5n = 30

n = 6

Hence, the value of n in the given congruent triangle is 6.

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Answer:

length of a regular hexagon's sides is using the following formula: s = P ÷ 6, where P is the perimeter of the hexagon, and s is the length of any one of its sides.

The property of the average of any two odd integers being odd is true for all integers.

This is because the sum of any two odd integers is always an even integer. For example, if we take any two odd integers, say 3 and 7, then the sum of these two is 10, an even integer. Therefore, the average of 3 and 7, which is (3 + 7)/2, is also an even integer, in this case, 5.

Since all even integers are divisible by 2, the average of any two odd integers must be an odd integer.

Therefore, the property is true for all integers.


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According to the question,

Given data in the question.

If the genome contained 20,000 genes, the average length of DNA per gene will be 40,000 base pairs.

What is the average length of DNA per gene?

Only 2.5% of the human genome is protein-coding. Introns make up the remaining 97.5%. The male nuclear diploid genome is 6.27 Giga base pairs (G b p), 205.00 cm (cm) long, and 6.41 picograms in weight (p g). Female measurements are 6.37 G b p, 208.23 cm, and 6.51 p g

For a 25% mammalian genome with 20,000 genes, the total number of base pairs, which is the length of DNA per gene, will be approximately double the payment of genes contained in the genome, in this case 40,000.

The average length of DNA per gene, assuming 20,000 genes in the genome, is 40,000 base pairs.

How long does DNA typically be per gene?

Only 2.5% of the human genome codes for proteins. The remaining 97.5% is made up of introns. The size and weight of the male nuclear diploid genome are 6.27 Giga base pairs (G  bp), 205.00 centimetres (cm), and 6.41 picograms (p g). 6.37 G   bp, 208.23 cm, and 6.51 p g are the female measurements.

The total number of base pairs, which is 20,000 for a 25% mammalian genome with 20,000 genes,

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The average length of DNA per gene would be 40,000 base pairs if the genome had 20,000 genes.

The human genome only codes for proteins in 2.5% of it. The remaining 97.5% are introns. The male nuclear diploid genome measures 205.00 centimeters (cm), is 6.27 Gigabase pairs (Gbp), and weighs 6.41 picograms (pg). 208.23 cm, 6.51 pg, and 6.37 Gbp are the female measurements.

Although there may be some hereditary component to math aptitude, this probably only accounts for a small portion of it. Even in the current study, genetics alone could only account for 20% of math prowess. According to Libertus, "this leaves more than 80% of the variety in children's math aptitude unexplained."

The overall number of base pairs, which is the length of DNA per gene, will be roughly twice the number of genes present in the genome, in this example 40,000, for a 25% mammalian genome with 20,000 genes.

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The correct answer is not provided in the options. None of the given options match the calculated probability.

P(Headache)

To calculate the probability of having a headache, we need to divide the number of workers who reported a headache by the total number of workers. According to the table, 33 workers reported a headache.

P(Headache) = 33 / 167 ≈ 0.197

Therefore, the correct answer is not provided in the options. None of the given options match the calculated probability.

ii) P(Shortness of Breath or Night)

To calculate the probability of having either shortness of breath or working the night shift, we need to add the number of workers who reported shortness of breath and the number of workers who worked the night shift, and then divide by the total number of workers.

According to the table, 25 workers reported shortness of breath, and 38 workers worked the night shift.

P(Shortness of Breath or Night) = (25 + 38) / 167 ≈ 0.323

Therefore, the correct answer is option B) 0.323.

iii) P(Evening | Weakness)

To calculate the probability of working the evening shift given that the worker has weakness symptoms, we need to divide the number of workers who worked the evening shift and had weakness symptoms by the total number of workers with weakness symptoms.

According to the table, 16 workers had weakness symptoms, and out of those, 16 worked the evening shift.

P(Evening | Weakness) = 16 / 16 = 1

Therefore, the correct answer is not provided in the options. None of the given options match the calculated probability.

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The value of an item is greater than or equal to 5. This statement is represented by the inequality \(x\geq 5\) .

An inequality is a mathematical relation which compares the values of two different entities.

The various symbols used in expressing inequalities are

Linear inequalities in one variable are represented on the number line.

For example: a>100 represents all numbers greater than 100 along the number line

Linear inequalities in two variables are represented as a region in a cartesian plane.

For example: 2x+3y<6 represents a region below the straight line 2x+3y=6.

The given statement denotes that the value of the item is greater than or equal to 5.

Therefore the required inequality is : \(x\geq 5\).

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The event is randomly selecting one card from a standard deck of 52 playing cards. We need to determine the number of outcomes in this event and whether it is a simple event or not.

In a standard deck of 52 playing cards, there are 4 suits (hearts, diamonds, clubs, spades) and each suit has 13 cards (Ace, 2-10, Jack, Queen, King). Therefore, there are 52 possible outcomes or cards to choose from in this event.
Now, let's determine if this event is a simple event or not. A simple event is an event that consists of a single outcome. In this case, since we are randomly selecting one card from the deck, the event of selecting a specific card (e.g., Ace of Hearts) would be a simple event because it has a single outcome. However, if the event is defined as selecting a card of a specific suit or a card of a specific rank (e.g., selecting a heart or selecting a King), then it would not be a simple event as there are multiple outcomes associated with that event.
When randomly selecting one card from a standard deck of 52 playing cards, there are 52 possible outcomes in the event. The event of selecting a specific card, like the Ace of Hearts, would be a simple event with a single outcome. However, events defined by selecting cards of a specific suit or rank would not be simple events as they have multiple outcomes.

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Answer:

0.040 "<" 0.207

Step-by-step explanation:

0.040

0.207

We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.

Write an inequality using the "<" sign:

0.040 < 0.207.

Hope this helps!

Answer:

$34

Step-by-step explanation:

85×40÷100=34

The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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Answer:

85

Step-by-step explanation:

Answer:

85 is the answer to this problem.

Step-by-step explanation:

(7+2)^2 + (1+1)^2​

9^2 + 2^2

81 + 4

= 85

Have a nice day! :D

Answer:

222

Step-by-step explanation:

Hey there!

250 - {(135 + 34) ÷ (46 - 33)} - 15 

= 250 - 169/(46 - 44) - 15

= 250 - 169/13 - 15

= 250 - 13 - 15

= 237 - 15

= 222

Therefore, your answer should be:

222

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The value of the computer with initial value $4600 after 3 years using the exponential model is equal to $2422.39 (approximately).

Cost of new computer = $4600

Book value after 2 years = $3000

use the exponential model,

y = a × \(e^{(-kt)}\)

where y is the value of the computer after t years,

a is the initial value of the computer when t=0,

k is a constant,

and e is the base of the natural logarithm.

Find the value of k using the information given,

y(2) = 3000

⇒3000 = a × \(e^{(-2k)}\)

y(0) = 4600

⇒ 4600 = a × e⁰

⇒ 4600  = a

Dividing the two equations, we get,

⇒3000/4600 =  \(e^{(-2k)}\)

⇒0.6522 =   \(e^{(-2k)}\)

Taking the natural logarithm of both sides, we get,

⇒ -2k = ln (0.6522 )

Solving for k, we get,

⇒ k = -0.4276 /2

⇒ k = - 0.2138

So the exponential model for the value of the computer is,

y = 4600 × \(e^{(-0.2138 \times t)}\)

To find the value of the computer after 3 years, we can plug in t=3,

y(3) = 4600 × \(e^{(-0.2138 \times 3)}\)

      = 4600 × \(e^{(-0.6413)}\)

      = 4600 × 0.5266

      = 2422.39

Therefore, the value of the computer after 3 years using the exponential model is approximately $2422.39.

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