A Point Is Chosen At Random In The Large Square Shown Below. Find The Probability That The Point Is In (2024)

The expression that is equal to (7b)c is option D, 7(bc).

Selecting the equivalent expression

The expression (7b)c means that 7b is being multiplied by c.

So, the expression that is equal to (7b)c is option D, 7(bc).

In the expression (7b)c, 7b is being multiplied by c.

To simplify this expression, we can use the associative property of multiplication, which states that the way we group the factors does not affect the result of the multiplication.

Therefore, we can write (7b)c as 7(bc), which shows that 7 is being multiplied by the product of b and c.

This is represented by option D, 7(bc). The other options do not represent the correct multiplication of 7b and c.

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Answer:

When four dice are rolled, there are 6 x 6 x 6 x 6 = 1296 possible outcomes, since each die has 6 possible outcomes and the rolls are independent.

To find the probability that each of the four numbers that appear will be different, we need to count the number of outcomes where each die shows a different number. We can do this by breaking it down into cases:

Case 1: The first die shows any number. The second die must show a different number than the first, so there are 5 possible outcomes. The third die must show a different number than the first two, so there are 4 possible outcomes. The fourth die must show a different number than the first three, so there are 3 possible outcomes. Therefore, there are 5 x 4 x 3 = 60 outcomes in this case.

Case 2: The first die shows any number. The second die shows the same number as the first. There is only 1 possible outcome in this case. The third die must show a different number than the first two, so there are 5 possible outcomes. The fourth die must show a different number than the first three, so there are 4 possible outcomes. Therefore, there are 1 x 5 x 4 = 20 outcomes in this case.

Case 3: The first die shows any number. The second die shows a different number than the first. The third die shows the same number as either the first or the second. There are 2 possible outcomes in this case. The fourth die must show a different number than the first three, so there are 4 possible outcomes. Therefore, there are 2 x 4 = 8 outcomes in this case.

To get the total number of outcomes where each die shows a different number, we add up the outcomes from each case:

60 + 20 + 8 = 88

Therefore, the probability that each of the four numbers that appear will be different is:

88 / 1296 = 0.0679, or approximately 6.79%.

Answer:

45°

Step-by-step explanation:

is an opposite angle, therefore congruent, same value 45°

Answer:

45

Step-by-step explanation:

hello, the answer is 45

To find the speed of the tsunami at the depth of 2145 meters, you can use the given function:

S(d) = √(9.8 * d)

Plug in the value of d (2145 meters):

S(2145) = √(9.8 * 2145)S(2145) ≈ √(21001)S(2145) ≈ 144.917Rounded to the nearest thousandth, the speed of the tsunami at a depth of 2145 meters is approximately 144.917 m/s.

The equation (5 x 10⁶) (9 × 10⁻²) = 6 x 10⁴ when written in scientific notation. The value of b is 5 and the value of n is 4.

What is scientific notation?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in standard decimal form. The number is written in the form of a number between 1 and 10 multiplied by a power of 10.

The value of b in this equation is 5. This is because the decimal points in both terms must be aligned in order to multiply them together.

The decimal points in each term are 6 and 2, respectively.

Since 6 is greater than 2, the decimal point for the total must be aligned with 6.

This means that the number 5 must be multiplied by 10⁶, resulting in b being 5.

The value of n in this equation is 4. This is because when the two terms are multiplied together, the exponents must be added.

The exponents of 10 in each term are 6 and -2, respectively.

When these are added together, they equal 4, resulting in the exponent of 10 in the new term to be 4.

Therefore, the equation (5 x 10⁶) (9 × 10⁻²) = 6 x 10⁴ when written in scientific notation. The value of b is 5 and the value of n is 4.

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Sampling is a statistical method of selecting a representative subset of a larger population, in order to make inferences about the population as a whole.

If you decide whether you want to see an entire movie based on a 90-second trailer, you are not using a sampling technique. In this case, you are making a personal decision based on a brief preview of the movie This decision is not based on a random or representative sample of the movie, nor is it part of a systematic or scientific sampling technique.

Therefore, it would not be accurate to describe this decision as a scientific sampling technique. However, movie studios may use sampling techniques to gather data on audience reactions to trailers and other promotional materials, in order to make informed decisions about marketing and distribution strategies.

For example, they may conduct surveys or focus groups to gather feedback on specific elements of the trailer, such as the plot, characters, or visual effects. This data can then be used to refine the marketing campaign and increase the likelihood of a successful release.

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(3 + 2 i ) + ( 4-5 i ) = 7 - 3i

(-5 + i) + (12 + 3i) = 7 + 4i

(2-3 i )+(3-2i)= 5 - 5i

(-7+5i ) + (4-2i)= -3 + 3i

(11 +3i ) + (5 +6 i)= 16 + 9i

Answer: A: 4

Step-by-step explanation:

This is the number we will start the line, if we were to graph this example. We would then go up 1 page for every hour (1 y for every x), on the graph.

The relationship between the mean and median can provide information about the shape of the distribution and the presence of outliers.

Explaining mean and median

The mean and median can be either close to the same value or very different from one another, depending on the distribution of the data.

If the data is approximately symmetric, with no extreme values, then the mean and median will be close to each other. In this case, the data is evenly distributed around the central tendency of the data, so both measures provide a similar representation of the central value.

However, if the data is skewed, with one tail longer than the other, or if there are extreme values (outliers) present in the data, then the mean and median will be different.

In this case, the mean is pulled in the direction of the skew or outliers, while the median remains unaffected.

As a result, the mean may not provide an accurate representation of the central tendency of the data.

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Answer:

The third equation is equal to 2.

Step-by-step explanation:

6 times one third is equal to 6 divided by three, which equals two. Using order of operations, 5 times 2 equals 10, and that divided by 5 is 2, so that equation is equal to 2.

the answer is 5/36.

there are 36 possibilities, and only 5 of those possibilities added to be 6.

The rate of return on the account was 11.429% over the course of 15 years.

What is interest rate?

Compartmentalized is the type of data that is discussed in the problem researched by an employee rylie who is a newly hired cybersecurity expert for a government agency and has working experience in the private sector.

Data classification is the way of organizing data into different categories that make it easy to retrieve, sort and store for future use. In simple words, compartmentalization means to separate into isolated compartments or categories. In data language, A nonhierarchical grouping of information used to control access to data more finely than with hierarchical security classification alone is called Compartmentalization. Now, we have a rylie who is a newly hired cybersecurity expert for a government agency. She has working experience in the private sector. On basis of her experience she has discovered that, the private sector companies often had confusing hierarchies for data classification as compared to the government's classifications which are well known and standardized. During her training, she is researching data that requires special authorization beyond normal classification. The data type that she researched and that is authorization beyond normal classification is called compartmentalized data.

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Answer:

To find the density of the brick, we need to divide its mass by its volume:

density = mass / volume

Plugging in the values given in the problem, we get:

density = 2,022.75 g / 1,064.5 cm³

Simplifying the division, we get:

density = 1.8996 g/cm³

Rounding to the nearest tenth, we get:

density ≈ 1.9 g/cm³

Therefore, the density of the brick is approximately 1.9 grams per cubic centimeter (g/cm³).

The best prediction possible for the number of times the spinner will not land on yellow is 18.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

Assuming that the spinner is fair and all outcomes are equally likely, we can calculate the probability of the spinner not landing on yellow in one spin by adding up the probabilities of all other outcomes, which are green, blue, and red.

The probability of the spinner not landing on yellow in one spin is:

P(not yellow) = P(green) + P(blue) + P(red)

= 1/6 + 1/3 + 1/6

= 1/2

Therefore, the expected number of times the spinner will not land on yellow in 36 spins is:

E(not yellow) = 36 x P(not yellow)

= 36 x 1/2

= 18

So the best prediction possible for the number of times the spinner will not land on yellow is 18. However, it's important to note that this is just a prediction based on probabilities, and the actual number of times the spinner doesn't land on yellow in 36 spins may vary.

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we get the velocity of the car at the end of the drag racetobe162mph.

What is weight?

Assuming you meant "weight," weight is the measure of the amount of force that gravity exerts on an object. It is usually measured in units such as pounds or kilograms. The weight of an object can vary depending on the strength of gravity and the mass of the object. For example, an object that has a mass of 10 kilograms on Earth would weigh approximately 98 Newtons (which is about 22 pounds) due to the gravitational forceoftheEarth.

To find the velocity of the car, we can simply plug in the given values of horsepower and weight into the given formula:

[tex]v = 234 * \sqrt(p / w)[/tex]

Substituting p = 1311 and w = 2744, we get:

[tex]v = 234 * \sqrt(1311 / 2744)[/tex]

[tex]v \approx 162[/tex]

Rounding this to the nearest whole number, we get the velocity of the car at the end of the drag racetobe162mph.

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Answer is = 60.8TT inches squared
The first answer choice

Step by step

First we know the label is a rectangle folded into a cylinder shape so we want to find the area of the rectangle A= L x W

We know W = 7.6 inches
We need to find the Length that wraps around the circumference of the can

Circumference = C=2π r
Radius is 4 inches

C = (2) (4) (in terms of pi so don’t multiply)
C = 8 π inches

Now we have L = 8 π
And we have W = 7.6

A = L x W
A = 60.8 π inches squared

60.8π square inches is the area of the label.

What is the Surface area?

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

We wish to find the area of the rectangle A= L x W because we know the label is a rectangle that has been folded into a cylinder form.

W is known to be 7.6 inches.

We must determine the length that encircles the can's circumference.

Radius = 4 inches,

circumference = C = 2 πr.

(In terms of π, therefore don't multiply.) C = (2) π(4)

C = 8 pimillimeters

We now have L = 8π

And W is equal to 7.6.

A = L x W

A = 60.8πsquare inches.

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Answer:

C and D

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{4}{5}[/tex] ⇒ C

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{3}{5}[/tex] ⇒ D

The percent of change from 12 to 6 is -50%. This indicates a decrease of 50%.

What is percent of change?

A measure of the relative difference between two values is the percent of change, also known as percentage change or percent change.

It is frequently used to convey how much a quantity has changed over time, as well as how much it has risen or fallen relative to its starting point.

To find the percent of change between two values, we use the formula:

Percent change = [(New value - Old value) / Old value] x 100%

In this case, the old value is 12 and the new value is 6.

Adding these values to the formula yields the following results:

percent change = [(6 - 12) / 12] x 100%

percent change = (-6 / 12) x 100%

percent change = -0.5 x 100%

percent change = -50%

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The answer to the question is C

If the two figures are not related by a dilation with center and scale factor

of 2, followed by a reflection over a line, then Elena's method is not correct. therefore given statement is false.

Elena is claiming that they are similar, and she has shown this by

transforming one figure into the other through a dilation with center and

scale factor of 2, followed by a reflection over a line.

If this is the case, then Elena's method is correct if and only if the two

figures are related by a dilation with center and scale factor of 2,

followed by a reflection over a line.

A dilation with center and scale factor of 2 will result in a figure that is

twice as large as the original figure, with corresponding sides multiplied

by a factor of 2. If the dilation is followed by a reflection over a line, then

the resulting figure will be similar to the original figure, with

corresponding angles equal and corresponding sides proportional.

However, In general, two figures are similar if and only if their

corresponding angles are equal and their corresponding sides are

proportional.

There are many ways to show that two figures are similar, including using

transformations such as dilation and reflection, but the specific

transformations used must be appropriate for the figures in question.

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So, the recipe calls for 0.5 FL oz of orange juice. We have more than enough orange juice in one can to make the dish because a can has 11 FL oz.

what is unitary method ?

A mathematical method called the unitary method is used to address proportionality-related issues. It is a technique that entails determining the value of a single unit prior to applying that value to determine the value of any quantity of units. Problems involving ratios et proportions are frequently solved using the unitary technique. The unitary approach can be used to determine the price of any quantity of apples, for instance, if 5 vegetables cost $2. We can build up a proportion to determine how much 10 apples would cost: 5 apples x $2 Equals 10 apples x. where 10 apples cost x dollars.

given

We can start by applying the conversion rule that states that 6 teaspoons (tsp) of liquid equal 1 fluid ounce (FL oz). The following is how we can convert 11 FL oz to teaspoons:

6 teaspoons per FL oz times 11 FL oz equals 66 teaspoons.

Thus, an 11 FL oz can of orange juice has 66 teaspoons of orange juice.

We can also figure out how many cans of orange juice are required for the recipe as it calls for 3 tablespoons of orange juice.

[tex]0.5 FL oz = 3 tsp * 6 tsp/FL oz[/tex]

So, the recipe calls for 0.5 FL oz of orange juice. We have more than enough orange juice in one can to make the dish because a can has 11 FL oz.

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The equivalent exponential expression for this problem is given as follows:

A. 4^15 x 5^10.

How to simplify the exponential expression?

The exponential expression in the context of this problem is defined as follows:

[tex]\left(\frac{4^3}{5^{-2}}\right)^5[/tex]

To simplify the expression, we must first apply the power of power rule, which means that when one exponential expression is elevated to an exponent, we keep the base and multiply the exponents, hence:

4^(15)/5^(-10)

The negative exponent at the denominator means that the expression can be moved to the numerator with a positive exponent, hence the simplified expression is given as follows:

4^15 x 5^10.

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The t-statistic is calculated by dividing option (d) the OLS estimator by its standard error.

The t-statistic is a measure of the significance of the estimated coefficient in a linear regression model. It is calculated by dividing the estimated coefficient (also known as the OLS estimator) by its standard error.

The formula for the t-statistic is:

t = (estimated coefficient - hypothesized value) / standard error

Where the hypothesized value is the value that is assumed to be the true population parameter. This value is usually zero when testing for the significance of a coefficient.

Therefore, the correct answer is (d) the OLS estimator by its standard error.

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The Area of shaded region is 6 (w- 4).

We have,

length= w unit

shorter length = 4 unit

width = 6 unit

So, Area of larger rectangle

= l w

= 6 x w

and, Area of smaller rectangle

= l w

= 6 x 4

= 24 cm²

So, the Area of shaded region

= 6w - 24

= 6 (w- 4)

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If the three babies consume 50 liters of milk in 20 days, then 4 babies will consume 83 liters of milk in 25 days.

We can start by using the given information to calculate the daily milk consumption rate per baby. The total milk consumed over 20 days by the three babies is 50 liters. Therefore, the daily milk consumption rate per baby is:

Daily milk consumption rate per baby = 50 liters / (3 babies x 20 days) = 0.83 liters per day per baby

If we add another baby, the total number of babies becomes 4. We want to find out how much milk they will consume in 25 days. Total milk required for 4 babies in 25 days = (number of babies) x (daily milk consumption rate per baby) x (number of days)

Substituting the given values, we get:

Total milk required = 4 x 0.83 liters per day per baby x 25 days

Total milk required = 83 liters

As a result, if three babies drink 50 liters of milk in 20 days, four babies will drink 83 liters of milk in 25 days.

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