James rolling A 1-6 Number cube. Which statement is true ? James is equally likely to roll a 4 as an even number. True or false? James is equally likely to roll a 3 as an odd number? True or false? James is more likely to roll a 5 than 2 . True or false? James is equally likely to roll an even number as an odd number.? True or false?

By using property of similar triangle and speed, the answer is 4.2ft/sec

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Similar triangles always have comparable sides that are in the same ratio.

We can compare the ratio of sides of similar triangle for the calculations.

x= shadow length at 35feet away.

Using the property of Similar Triangle we get,

\(\frac {16}{35+x} = \frac {6}{x}\)

x=21 feet

Velocity of shadow= 21/5

=4.2 feet/sec

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Answer:

92%

Step-by-step explanation:

100-8=92

Answer:

91%

Step-by-step explanation:

If 8% is 8 out of 100, then the rest would be 91%, out of 100.

Answer: 5,2 2,3 2,2

Step-by-step explanation:

Based on the information given, we can assume that "x" represents the price of sandwiches, and "demand" refers to the quantity of sandwiches that consumers are willing and able to buy at that particular price. The term "market" refers to the overall demand for sandwiches in the entire market, rather than just one individual consumer.

If x = 1, we can look at the table to see that the quantity demanded is 6 sandwiches. We can use this information to calculate the slope of the market demand curve, which represents the relationship between the price of sandwiches and the quantity demanded by all consumers in the market.

To calculate the slope, we need to find two points on the demand curve. Let's use the points (1,6) and (2,4), since they are the closest to x=1. We can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

slope = (4 - 6) / (2 - 1)

slope = -2

So the slope of the market demand curve when the price is on the vertical axis is -2. However, none of the answer choices given match this result.

The closest answer is (b) -1/3, but this is not correct based on the calculations we just did.

Therefore, the correct answer cannot be determined with the information given.

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The simplest form is (-2 ±√12)/2.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Given: x = (-4 ±√48)/4

We have to simplify the given term.

x = (-4 ±√48)/4

x =  (-4 ±√12×4)/4

x =(-4 ±2√12)/4

Now, we take 2 as common and get

x = (-2 ±√12)/2

Hence, the simplest form is (-2 ±√12)/2.

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a. The probability that someone consumed more than 40 gallons of bottled water is approximately 0.1736 or 17.36%.

b. Probability that someone consumed between 30 and 40 gallons of bottled water is approximately 0.3264 or 32.64%.

c. Probability that someone consumed less than 30 gallons of bottled water is approximately 0.4750 or 47.50%.

d. 97.5% of people consumed less than approximately 51.6 gallons of bottled water.

To solve these probability questions, use the z-score formula and the standard normal distribution calculator.

a. To find the probability that someone consumed more than 40 gallons of bottled water,

calculate the area under the normal distribution curve to the right of 40 gallons.

calculate the z-score,

z = (x - μ) / σ

where x is the value we're interested in (40 gallons),

μ is the mean (30.6 gallons),

and σ is the standard deviation (10 gallons).

z = (40 - 30.6) / 10

⇒z = 9.4 / 10

⇒z = 0.94

Now, use the z-score to find the probability using the standard normal distribution calculator.

The probability of consuming more than 40 gallons can be found by subtracting the cumulative probability of the z-score (0.5) from 1,

P(x > 40) = 1 - P(z < 0.94)

Using the standard normal distribution calculator,

find that P(z < 0.94) is approximately 0.8264.

P(x > 40) = 1 - 0.8264

               ≈ 0.1736 or 17.36%

b. To find the probability that someone consumed between 30 and 40 gallons of bottled water,

calculate the area under the normal distribution curve between those two values.

calculate the z-scores for both values,

For x = 30 gallons,

z₁ = (30 - 30.6) / 10

⇒z₁ = -0.6 / 10

⇒z₁ = -0.06

For x = 40 gallons

z₂ = (40 - 30.6) / 10

⇒z₂= 9.4 / 10

⇒z₂ = 0.94

Now, find the probabilities for each z-score using the standard normal distribution calculator.

P(30 < x < 40) = P(0.06 < z < 0.94)

Using the standard normal distribution calculator,

find P(0.06 < z < 0.94) is approximately 0.3264.

c. To find the probability that someone consumed less than 30 gallons of bottled water,

calculate the area under the normal distribution curve to the left of 30 gallons.

calculate the z-score,

z = (x - μ) / σ

⇒z = (30 - 30.6) / 10

⇒z = -0.6 / 10

⇒z = -0.06

Now, find probability using the standard normal distribution calculator,

P(x < 30) = P(z < -0.06)

Using the standard normal distribution calculator, find that P(z < -0.06) is approximately 0.4750.

d. To find the value of x (number of gallons) below which 97.5% of people consumed,

find the z-score that corresponds to the cumulative probability of 97.5%. Use the standard normal distribution calculator to find the z-score.

P(z < z-score) = 0.975

Probability in the standard normal distribution calculator,

find that the z-score corresponding to a cumulative probability of 0.975 is approximately 1.96.

Now, use the z-score formula to find the value of x,

z-score = (x - μ) / σ

Rearranging the formula,

x = μ + (z-score × σ)

⇒x = 30.6 + (1.96 × 10)

⇒x ≈ 51.6

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The above question is incomplete, the complete question is:

The annual per capita consumption of bottled water was 30.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.6 and a standard deviation of 10 gallons.

a. What is the probability that someone consumed more than 40 gallons of bottled water?

b. What is the probability that someone consumed between 30 and 40 gallons of bottled water?

c. What is the probability that someone consumed less than 30 gallons of bottled water?

d. 97.5% of people consumed less than how many gallons of bottled water?

There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Line a & b are parallel

Line c is perpendicular to both lines a & b

Step-by-step explanation:

Let's solve for y in all the lines, starting with line a

-3x - 12y = 36

Add 3x to both sides

-3x - 12y = 36

+ 3x          + 3x

-12y = 3x + 36

Divide both sides by -12

-12y/-12 = (3x + 36)/-12

y = -x/4 - 3

Now for line b

x + 4y = 2

- x      - x

4y = -x + 2

4y/4 = (-x + 2)/4

y = -x/4 + .5

Since line a and b have the same slop, they are parallel

Notice how their slops are opposite and flipped of line c, 4x, making them perpendicular to line c.

Green = line a

Blue = line b

Purple = line c

Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

Based on the very strong negative correlation (r = -0.37) observed between variables x and y, we can conclude that y is strongly associated with x. However, there may be a need for a second independent variable to fully explain the observed changes in y.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient is -0.37, indicating a strong negative correlation between variables x and y.

Option a, "y is strongly associated with x and there may be no need for a second independent variable," is not the correct conclusion because a strong correlation does not necessarily imply that no other independent variable is needed. It only suggests a strong relationship between x and y.

Option b, "Regardless of the range of data, further changes in x will lead to no changes in y," is not accurate since a strong correlation indicates that changes in x will likely result in changes in y.

Option c, "x has caused y," is not an appropriate conclusion because correlation does not imply causation. It suggests a relationship between x and y but does not establish a cause-and-effect relationship.

Option d, "Y is not associated with X. There may be another variable required to define the observed changes in y," is also incorrect because the observed strong correlation indicates an association between x and y. However, it acknowledges the possibility of another variable contributing to the observed changes in y.

Therefore, the correct conclusion is that y is strongly associated with x, but there may be a need for a second independent variable to fully explain the observed changes in y.

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The sample mean is c) M=51.

To find the sample mean, we can use the formula for z-score:
                                              z = (X - M) / s

where:

In this case, we have two equations with two unknowns:

-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s

Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M

Simplifying gives us:
-0.25s = -3

Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M

Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M

Simplifying gives us:
9 = 44 - M

Finally, we can solve for M:
M = 44 - 9
M = 35

So the sample mean is 35.

However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.

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Therefore, Caleb paid approximately $14,067.90 for the shares.

Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.

Selling price = 130% of the amount paid

$18,189.27 = 1.3 * x

To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:

x = $18,189.27 / 1.3

Calculating this, we find:

x ≈ $14,067.90

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The volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.

What is the volume of the rectangular prism?
Four rectangular faces and two parallel rectangular bases make up a rectangular prism. We are aware that a rectangular prism's cross section is a rectangle. The term "Cuboid" is another name for the rectangular prism.
Therefore, the following formula is provided to determine a rectangular prism's volume: Volume = l*b*h cubic units.

Given, the length of the rectangular prism = l = x
Also, the width of the rectangular prism = w = x²
Again, the height of the rectangular prism = h = 5x² + 4x + 1
Volume of the rectangular prism = l*w*h = x*(x²)*(5x² + 4x + 1)
= x³(5x² + 4x + 1) = 5x⁵ + 4x⁴ + x³
Thus, the volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.

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Answer:

4- true

5-true

6-false

7-false

8-true

9-true

Step-by-step explanation:

Follow the letters and the sign of congruence

≅

Answer:

12 x -6 is -72 and -6 + 12 is 6 so 12 and -6 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equations to check:

The 2 numbers that add up to 6, but multiply to -72 are - 6 and 12.

Brainliest please.

B. It is the amount of three-dimensional space inside the solid.

Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.

It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.

In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.

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let's call that point C, thus we get the splits of AC and CB

\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)

\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)

Answer:

Option 1

Step-by-step explanation:

The formula of constant porpotionality is

\(y = kx\)

or

\(y = \frac{k}{x} \)

where k is the constant of porpotionality.

This equation is direct variation so we will use

\(y = kx\)

The equation is in the form

\(y = 1.5x\)

1.5 is in k place so the constant of porpotionality is 1.5

Answer:

the answer to your problem is B

Answer:

Step-by-step explanation:

3===o===2=======1========0========-1=======x-2

I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.

Ben should be right at -2 where the x is.

Answer:

The slope of the line is zero.

Step-by-step explanation:

The slope is zero. This is a perfectly horizontal line passing through y=−3 .

Answer:

228 square meters

Step-by-step explanation:

Answer:

A

Step-by-step explanation: You are given a specific direction, while the rest aren't certain.

Step-by-step explanation:

6/=14000

6x140

840x7

5880

x and x⁴-16x²+56 are the resulting composite functions respectively.

Given the following functions below

f(x) = 7/x

g(x) = x² - 8

We need to determine the composite functions (fof)(x) and (gog)(x)

(fof)(x) = f(f(x))

f(f(x)) = f(7/x)

Replace x with 7/x

f(7/x) = 7/(7/x)

f(7/x) = 7 * x/7

f(7/x) = x

Similarly:

(gog)(x) = g(g(x))

g(g(x)) = (x² - 8)² - 8

g(g(x)) = x⁴-16x²+64 - 8

g(g(x)) = = x⁴-16x²+56

Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56

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Answer:

v = 3,463,118,874

Step-by-step explanation:

2214 * 225 = 498,510

diameter = 498,510

v = pi(d) * h

v = 3.14(498,510) * 2214

v = 1,564,191 * 2214

v = 3,463,118,874

2 hours will pass before they meet.

"Information available from the question"

In the question:

Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.

Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.

Now, According to the question:

Total distance = 20mi

Aaron starts riding a bike at a rate of  = 3mi/h

Zhang rides his bike toward Aaron along the same road at  = 2mi/h

Let y be the number of hours for them to meet.

The expression is given as

3y + 2y = 20

solving for y, we have

5y = 20

y = 20/5

y = 4hrs

Therefore, 2 hours will pass before they meet.

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Answer:

x = 18/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 2 = 20

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 18/5 is a solution to the equation.

Answer:

4x5 = 20

Step-by-step explanation:

Im not rlly sure at all but hope this helps :)