Find 4+(−123). Write your answer as a fraction in simplest form.

Car B will catch up with Car A at 4:45pm, after travelling for 2 5/8 hours (3 hours minus 1 hour minus 3/8 of an hour).

Car A leaves the Grand Canyon at noon and travels at 80 mph. At 3 pm, it stops for an hour. Car B leaves the Grand Canyon at 2 pm and travels at 90 mph without stopping.To calculate when Car B will catch up with Car A, we need to find the time difference between their departure times and the difference in their speeds.Car A leaves one hour before Car B, so we can subtract 1 hour from the total travel time. The difference in their speeds is 10 mph, which is equivalent to 1/8 of an hour for every hour of travel. Therefore, we can subtract 1/8 of an hour from the total travel time for every hour of travel.We can use these two deductions to calculate the total travel time: 3 hours - 1 hour - 3/8 of an hour = 2 5/8 hours. Therefore, Car B will catch up with Car A at 4:45pm.

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\(a = lw\)

\(a = (30)(20)\)

\(a = 600 \: {ft}^{2} \)

The conference room has an area of 600 ft²

//

\(a = lw\)

\(a = (5)(4)\)

\(a = 20 \: {ft}^{2} \)

The carpet has an area of 20 ft²

//

\( \frac{600}{20} = 30\)

She would need 30 pieces to carpet the entire room.

Answer:

7 carrots all together

Step-by-step explanation:

4+3=7

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer: 83r^2 - 59 + 60

Step-by-step explanation:

R^2 - 59R - 82r^2 + 60

= 83r^2 - 59 + 60

The speed of the boat in still water is 6 and 2/3 miles per hour.

Let the speed of the boat in still water = b

And the speed of the current = c

Since we know that the boat can travel 24 miles downstream in one-half the time it takes to travel 12 miles upstream,

we can write the following equation:

⇒ 24/(b+c) = (1/2) 12/(b-c)

Simplifying this equation, we get,

⇒ 24(b-c) = 6(b+c)

Expanding the brackets gives,

⇒ 24b - 24c = 6b + 6c

Grouping the b terms and the c terms gives,

⇒ 24b - 6b = 6c + 24c

Simplifying gives:

⇒ 18b = 30c

Dividing both sides by 3, we get:

⇒ b = 5c

Now we can use the fact that the current flows at 3 miles per hour to solve for the speed of the boat in still water:

b + c = 8

Substituting b = 5c, we get:

6c = 8

So:

c = 4/3

And:

b = 20/3

Therefore,

The speed is 2/3 miles per hour.

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There is a 1/4 chance of no heads, and therefore no dice. The sum of no dice is 0, which is even.

There is a 1/2 chance of one head, and therefore one die. For one die, there is a 1/2 chance of landing on an odd total 1,3,5.

There is a 1/4 chance of getting two heads, and therefore two dice. There are an equal number of possibilities giving even and odd, so there is again a 1/2 chance of landing on an odd total.

So in total, we have total probability

1/4⋅0+1/2⋅1/2+1/4⋅1/2=3/8.

The ratio of the number of results in an exhaustive set of similarly probable outcomes that produce a given occasion to the entire quantity of feasible results. b : a branch of arithmetic worried with the observe of probabilities.

The chance of an event can be calculated through possibility system by way of truely dividing the favorable variety of results by means of the entire wide variety of feasible outcomes.

Many events cannot be anticipated with total actuality. we will are expecting simplest the danger of an event to occur i.e. how possibly they're to appear, the usage of it.

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the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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We may infer after addressing the stated question that As a result, ten expressions erasers set end to end would measure 25 inches in length.

You can add, subtract, divide, and multiply. This is how an expression is put together: Expression, number, and mathematical operator Numbers, variables, and operations (such as addition, subtraction, multiplication, and division, etc.) are all components of a mathematical expression. Expressions and phrases can be contrasted. Any mathematical statement with variables, integers, and an arithmetic operation between them is referred to as an expression or algebraic expression. For instance, the phrases 4m and 5 as well as the variable m from the given statement are all separated by the arithmetic symbol + in the phrase 4m + 5.

If an eraser is 2.5 inches long, then 10 erasers placed end to end equal:

25 inches = 10 erasers x 2.5 inches/eraser

As a result, ten erasers set end to end would measure 25 inches in length.

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Complete question:

Date Name Unit 4.7 LS² Day 3 Homework An Eraser Is 2(1)/(2) Inches Long. How Long Are 10 Erasers Placed End To End?

Answer:

1. Acute, because it is less than 90 degrees or less than a right angle.

2. that is obtuse because it is bigger than 90 degrees

3. acute, because it is less than 90 degrees.

Answer:

1. Acute 2. Obtuse 3. Acute

Step-by-step explanation:

1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.

To find the standard error of the sample mean, we use the formula. The standard error of the sample mean derived from a random sample of 12 bowls is approximately 0.0866 inches.

The expected value in this case is simply the mean diameter of the smaller series, which is 7 inches.

To find the standard error of the sample mean, we use the formula:

Standard Error = Standard Deviation / Square Root of Sample Size

Plugging in the given values, we get:

Standard Error = 0.3 / sqrt(12) = 0.086

Therefore, the standard error of the sample mean derived from a random sample of 12 bowls is 0.086 inches.

The expected value is the mean diameter of the bowls. In this case, the mean diameter is already provided, which is 7 inches. So, the expected value is 7 inches.

Now, to find the standard error of the sample mean, we will use the formula:

Standard Error (SE) = (Standard Deviation) / √(Sample Size)

In this case, the standard deviation is 0.3 inch and the sample size is 12 bowls.

SE = 0.3 / √12 ≈ 0.3 / 3.46 ≈ 0.0866 inches

So, the standard error of the sample mean derived from a random sample of 12 bowls is approximately 0.0866 inches.

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The figure red has been shifted by 5 units left and 2 units down to form the blue.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

From figure ,

Coordinates of point red = (2, 3)

Coordinates of point blue = (-3, 1)

here, figure shows the translation of peak point of red to blue.

So, red(2, 3) → blue(-3, 1)

                     → blue[(2 - 5), (3 - 2)]

Hence, figure red has been shifted by 5 units left and 2 units down to form the blue.

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Answer:

14 - 11.76 = 2.23

2.24 x 100

14 = 16%

Answer:

the answer is so you need takes Away -5

The reflection of the quadrilateral across the y-axis is shown in the graph below.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

The reflection does not change the shape and size of the geometry. But flipped the image.

The quadrilateral has four sides and four angles. And the sum of the internal angles of the quadrilateral is 360 degrees.

The quadrilateral is given in the figure.

The reflection of the quadrilateral across the y-axis is shown in the graph below.

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Answer:

A. 85°

Step-by-step explanation:

By intersecting chords theorem:

\( m\angle ABC= \frac{1}{2} (130 \degree + 40 \degree)\)

\( m\angle ABC= \frac{1}{2}\times 170 \degree\)

\( m\angle ABC= 85 \degree\)

By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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Answer:

x-y=4

Step-by-step explanation:

Answer:

thank you for letting me have the points!

Step-by-step explanation:

Density –The frequency with which something exists with a given unit of area.

Definition of density: A material's density is determined by how closely it is packed. As the mass per unit volume, it has that definition. Symbol for density: D or Formula for Density: Where is the density, m is the object's mass, and V is its volume, the equation is: = m/V.

How much "stuff" is contained in a specific quantity of space is determined by its density. For instance, a block of the harder, lighter element gold (Au) will be denser than a block of the heavier element lead (Pb) (Au). Styrofoam blocks are less dense than bricks. Mass per unit volume serves as its definition.

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Consider the traingle as per the attachment

In \({\triangle}\)ADB. By Pythagoras theorem:

\({:\implies \quad \sf x^{2}+4^{2}=AB^{2}}\)

\({:\implies \quad \sf AB^{2}=x^{2}+16\quad ...(i)}\)

Now, In \({\triangle}\)ADC. By Pythagoras theorem:

\({:\implies \quad \sf x^{2}+9^{2}=AC^{2}}\)

\({:\implies \quad \sf AC^{2}=x^{2}+81\quad ...(ii)}\)

Now, In \({\triangle}\)BAC. By Pythagoras theorem:

\({:\implies \quad \sf AB^{2}+AC^{2}=BC^{2}}\)

By (i) and (ii)

\({:\implies \quad \sf x^{2}+16+x^{2}+81=(BD+DC)^{2}}\)

\({:\implies \quad \sf 2x^{2}+97=(4+9)^{2}}\)

\({:\implies \quad \sf 2x^{2}=169-97}\)

\({:\implies \quad \sf 2x^{2}=72}\)

\({:\implies \quad \sf x^{2}=36}\)

\({:\implies \quad \sf x=\sqrt{36}=\boxed{\bf{6}}}\)

Hence, Option b) is correct

Pythagoras theorem:- It states that, in a right angled triangle the square of hypotenuse is equal to the sum of the square of base and square of perpendicular

Answer:

1*10^2

Step-by-step explanation:

Answer:

The answer would be 1x10^2 since you move the decimal place to the left two times.

Step-by-step explanation:

Answer:

Yes u did thats what i did too XD

Answer:

\(x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}\)

\(y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}\)

Step-by-step explanation:

1) Solve for 2x - y = 9

A. Solve for y.

2x - y = 9

B. Subtract 2x from both sides.

-y = 9 - 2x

C. Multiply both sides by -1.

y = -9 + 2x

D. Regroup terms.

y = 2x - 9

2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16

A. Start with the original equation.

4x² + 3y² - 2x + y = 16

B. Let y = 2x - 9.

4x² + 3(2x - 9)² - 2x + 2x - 9 = 16

C. Simplify.

16x² - 108x + 234 = 16

3) Solve for x in 16x² - 108x + 234 = 16

A. Solve for x.

16x² - 108x + 234 -= 16

B. Move all terms to one side.

16x² - 108x + 234 - 16 = 0

C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218

16 x² - 108x + 218 = 0

D. Use the Quadratic Formula.

\(x=\frac{108+4\sqrt{143}i }{32}\), \(\frac{108-4\sqrt{143} i}{32}\)

E. Simplify solutions.

\(x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}\)

4) Substitute \(x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}\) into y = 2x - 9.

1) Start with the original equation.

y = 2x - 9

2) Let x = \(\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .\)

\(y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9\)

3) Simplify

\(y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}\)

Answer:

The solution is:

\(-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}\)

The number line graph of the solution is also attached below.

From the graph, it is clear that the 2nd number line represents the solution set for the inequality.

Step-by-step explanation:

Given the inequality

\(-\frac{1}{2}x\ge 4\)

Let us solve the inequality

\(-\frac{1}{2}x\ge 4\)

Multiply both sides by -1 (reverse the inequality)

\(\left(-\frac{1}{2}x\right)\left(-1\right)\le \:4\left(-1\right)\)

Simplify

\(\frac{1}{2}x\le \:-4\)

Multiply both sides by 2

\(2\cdot \frac{1}{2}x\le \:2\left(-4\right)\)

Simplify

\(x\le \:-8\)

Thus, the solution is:

\(-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}\)

The number line graph of the solution is also attached below.

From the graph, it is clear that the 2nd number line represents the solution set for the inequality.

To find the arc length, we can use the formula:

\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)

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