Choose the equation that correctly shows the Commutative Property of Multiplication.
10 x3/10 = 10 x 3/10
10 +3/10 = 3/10x 10
10 x 3/10 = 3/10 x 10
10 x3/10 = 3/10 ÷ 10 IL GIVE BRAINLIEST!!!

The decimal equivalent of 0xc9 is 201.

Hexadecimal is a number system with a base of 16, in which we use 16 distinct symbols to represent numbers. The symbols used in hexadecimal are the digits from 0 to 9 and the letters from A to F.  

Hexadecimal notations are commonly used in computer programming and digital electronics because they can represent binary data more compactly than binary notation.

Here we have

0xc9  

By converting each symbol as a number we can calculate as follows

Here 0x represents hexadecimal

And the value of c is 12    

0xc9 =  (12 × 16¹) +  (9 × 16⁰)

= 192 + 9 = 201  

Therefore,  

The decimal equivalent of 0xc9 is 201.

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Yes we can say that 10 mm is a conversion factor because it is equals to 1 cm and that is what conversion factor is.

A millimetre is a unit of measurement smaller than a metre. Because of something called conversion factors, I know that a mm is smaller than a m.

Simply said, a conversion factor is a number that may be multiplied or divided to convert one set of units to another. Hence, when we need to translate 10 millimetres to centimetres, we utilise a conversion factor.

The mm to m conversion factor is:

10 mm = 1 cm

We can simply compute the conversion of 10 mm to m now that we know the conversion factor by multiplying 0.001 by the amount of millimetres we have, which is 10.

10 x 0.1 = 1 cm

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90, They are measuring the same, therefore m4 = 90. Four right angles are produced when two lines overlap to form single right position.

Two full lines or rays intersect at a same terminus to make an angle. The centroid of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

Right angles are created when two straight lines cross at a 90° angle or are identical to one another at the intersection. The sign stands for a right angle.

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1/4 of all the students in the orchestra are girls who play string instruments.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's assume there are a total of 100 students in the school orchestra. Then, according to the problem, 2/5 of them are string players.

The number of string players is:

2/5 x 100 = 40

Out of these 40 string players, 5/8 are girls.

The number of girls who play string instruments is:

5/8 x 40 = 25

Therefore, the fraction of all the students in the orchestra who are girls who play string instruments is:

25/100 = 1/4

Therefore, 1/4 of all the students in the orchestra are girls who play string instruments.

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The width W of the island will be 3.75 ft by given scaling factor.

What exactly is scaling factor?

The Scale Factor is used to scale shapes in various dimensions. Geometry teaches us about various geometrical shapes in both two and three dimensions. The scale factor is a statistic for figures that seem similar but have different scales or measures. Imagine two circles have the same appearance but different radii.

The scale factor specifies how much larger or smaller a figure is than the original figure. With the use of a scale factor, you may design an expanded or smaller version of any original form.

Now,

Here given that 1 inch=1.5 ft

and as w=2.5 inches then the actual width W will be =2.5*1.5

=3.75 ft

and we can find scaling factor by  length of the actual object divided by length of scale drawing i.e.

S=length of object/length of drawing

hence,

          The width W of the island will be 3.75 ft.

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In the United States, a bushel is legally defined as 2,150.42 cubic inches or approximately 35.24 liters. The weight of a bushel depends on the density of the item being measured.

For example, a bushel of wheat weighs approximately 60 pounds, a bushel of soybeans weighs approximately 60 pounds, and a bushel of apples weighs approximately 42 pounds.

A bushel is a unit of measurement used to quantify dry goods such as grains, fruits, and vegetables. The exact weight of a bushel can differ depending on the item being measured.

It is worth noting that the bushel is not a universal measurement, and other countries may use various standards for measuring dry goods.

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To convert 8 cups to quarts, you can divide the number of cups by 4 to get 2 quarts.

To convert cups to quarts, you can use the following conversion factor:

1 quart = 4 cups

Therefore, to convert 8 cups to quarts, you can divide the number of cups by 4:

8 cups ÷ 4 = 2 quarts

So, 8 cups is equal to 2 quarts.

It's important to keep in mind that cups and quarts are units of volume measurement commonly used in cooking and baking. Cups are often used to measure smaller amounts of liquid or dry ingredients, while quarts are used for larger amounts.

In many recipes, the measurements are given in cups, but in some cases, you may need to convert from cups to quarts or other units.

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The value of the exponential equation is A = ( 8/7 ) x ^ -15/2

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 8 / ( 7√x¹⁵ )   be equation (1)

On simplifying the equation , we get

The value of √x¹⁵ = x ^ 15/2

Now , the equation will be

A = ( 8/7 ) x ^ -15/2

Hence , the exponential equation is A = ( 8/7 ) x ^ -15/2

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The critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514.

The critical value, zα/2, is the z-score that cuts off an area of α/2 in the tails of the standard normal distribution. In other words, it represents the number of standard deviations away from the mean that corresponds to a particular level of confidence.

To find the critical value for a 87% confidence level, we first need to determine the area that is left in the tails of the distribution. Since the confidence level is 87%, the area in the middle of the distribution is (1 - 0.87) = 0.13. We then divide this area in half to get the area in each tail, which is 0.065.

Using a standard normal distribution table or a calculator, we can find that the z-score that cuts off an area of 0.065 in one tail is approximately 1.514. Therefore, the critical value, zα/2, is:

zα/2 = ±1.514

However, since we want to find the z-score that corresponds to the middle 87% of the distribution, we need to add the absolute value of this number to the mean of the distribution, which is 0. This gives us:

zα/2 = |1.514| = 1.514

Therefore, the critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514

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--The question is incomplete, answering to the question below--

"Find the critical value, zα/2 that corresponds to the given confidence level 87​%"

If the tens digit of a two-digit number is one more than the units digit and the number itself is 6 times the sum of the digits, then the solution is a two-digit number 54.

Let's assume that the units digit of the two-digit number is x. According to the problem statement, the tens digit is one more than the units digit, which means that the tens digit is x + 1. Therefore, the two-digit number can be expressed as 10(x+1) + x, which simplifies to 11x + 10.

The problem also states that the number is 6 times the sum of its digits. The sum of the digits is x + (x + 1) = 2x + 1. Therefore, we can set up an equation:

11x + 10 = 6(2x + 1)

Simplifying the equation, we get:

11x + 10 = 12x + 6

Subtracting 11x from both sides, we get:

10 = x + 6

Subtracting 6 from both sides, we get:

x = 4

Therefore, the units digit is 4, and the tens digit is one more than that, which is 5. The two-digit number is 54. We can check that this is indeed 6 times the sum of its digits:

54 = 6(4 + 5)

54 = 6(9)

54 = 54

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The trigonometric ratios are presented in this answer.

The three trigonometric ratios are defined as follows:

The hypotenuse is the slanted segment connecting the horizontal segment and the vertical segment.

The adjacent side to an angle x is the side length between the angle x and the angle of 90º.

The opposite side to an angle x is the side length between the angle 90 - x and the angle of 90º.

The problem is incomplete, hence the important concepts of trigonometric ratios were presented.

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The given statement about two variables is false. This is because to determine whether the respective two variables are related, we cannot compare two marginal distributions.

A correlation coefficient is used to assess the relationship between the two variables. The letter r is used to represent this coefficient. The r values range from -1 to  +1.

Based on this value, the correlation is classified into two types negative correlation and positive correlation. When the r value is -1, it is referred to as a perfect negative correlation. When the r value is +1, it is referred to as a perfect positive correlation. So to compare the relation of two variables, we require a correlation coefficient, not marginal distribution. Therefore, the given statement is false.

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The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept of the line.

It allows for the easy representation of a linear equation in two variables, with the slope indicating how steep the line is and the y-intercept indicating where the line intersects the y-axis.

By rearranging an equation in standard form

or point-slope form

we can solve for y in terms of x to convert it to slope-intercept form. This form is commonly used in applications such as graphing and predicting values on a line.

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Answer:

1 pin = 473.17 ml

Step-by-step explanation:

1 pin = 473.17 ml

To convert pin to ml, you need to take the number of pin times 473.17.

The true and false statements are

True, False, False, True, True, True

From the question, we have the following parameters that can be used in our computation:

The graph

The maximum from the graph is

y = 4

The graph has real zeros because it crosses the x-axis

Also, it is true that the graph increases from negative infinity to x = -1 and it it true that the y-intercept is 3 (because it intersects the y-axis at this pont)

The vertices are (-1, 4)

Lastly, the function is above 0 at the interval (-3, 1)

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the answer would be

1, 2, 29, 58

230 lbs is approximately equal to 104.3260 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

230 lbs =  0.453592 × 230

Multiply the numbers

= 104.3260 kg ( rounded to four decimal places )

Therefore, 230 lbs is 104.3260 kg

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On converting the weight of 166 lbs to Kg , we get that 166 lbs is equivalent to 75.29  Kg .

One Kilogram (Kg) is defined as the base unit of mass in the International System of Units (SI). and

One Pound (lb) is defined as a unit of mass which is commonly used in the United States to measure the weight .

We know that ; 1 pound is approximately equal to 0.4535 Kilograms ;

To convert 166 lbs to Kg ; we multiply the given weight with 0.4535 ;

We get ;

⇒ 166 lbs = 166 × 0.4535 Kg ;

⇒ 166 lbs = 75.281 Kg ≈ 75.29 Kg .

Therefore , 166 pounds is approximately equal to 75.29 Kilograms .

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Based on the information provided, the greatest weight of a baby walrus in ounces is 2560 ounces.

According to the information provided, the weight of a baby walrus is between 100 and 160 pounds, which means 160 is the maximum weight for these animals.

Now, let's convert the pounds to ounces to know the maximum weight in ounces. For this, let´s consider that 1 pound = 16 ounces.

160 x 16 = 2560 ounces

Based on this, it can be concluded that the maximum weight is 2560 ounces.

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The missing angles of the shape are

For a rhombus shape, the opposite angles are equal and the sum of the angles are equal to 360 degrees

The four shapes makes a fifth rhombus between them

2 < BIF + 2 < IBJ = 360

2 < BIF + 2 * 54 = 360

2 < BIF + 108 = 360

2 < BIF = 360 - 108

2 < BIF = 252

< BIF = 152

solving for < JBC

2 <JBC + < JBI = 180

< JBC = < IBA

2 < JBC + 54 = 180

2 < JBC = 180 - 54

2 < JBC = 126

< JBC = 63

Solving for < BJD

2 < JBC + 2 < BJD = 360

126 + 2 < BJD = 360

2 < BJD = 360 - 126

2 < BJD = 234

< BJD = 117

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Answer:

Step-by-step explanation:

A RIGHT triangle has TWO LEGS and a HYPOTENUSE ( the longest side)

Pythagorean Theorem for right triangles states:

Hypotenuse ^2  =  Leg1 ^2 + Leg2 ^2    

    if you sub in the three sides of the triangle and this is TRUE , it is a RIGHT triangle .

Option D. Nominal measurement is used primarily to name or categorical data.

Nominal measurement is one of the four levels of measurement used in statistics, along with ordinal, interval, and ratio measurement. Nominal data are qualitative or categorical data that can be assigned to discrete categories based on some characteristic or attribute, such as color, gender, or species. Nominal data do not have a natural ordering, so they cannot be ranked or ordered based on magnitude or size.

Nominal measurement is a type of measurement in which data are named or categorized based on some characteristic or attribute. Nominal data are typically qualitative or categorical in nature, meaning that they are not numerical in value. Examples of nominal data include gender, race, religion, color, or type of animal.

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By multiplying 40 feet by conversion factor, we found that 40 feet is equal to 12.192 meters.

Converting units of measurement is an essential skill in mathematics and science. It helps us express measurements in a standardized system that is easy to understand and work with. In this case, we'll learn how to convert 40 feet to meters.

To convert feet to meters, we need to use a conversion factor. A conversion factor is a ratio that expresses the relationship between two units of measurement. In this case, we'll use the conversion factor that relates feet to meters.

The conversion factor for feet to meters is 1 ft = 0.3048 m. This means that 1 foot is equivalent to 0.3048 meters. To convert 40 feet to meters, we need to multiply the value in feet by the conversion factor.

So, we have:

40 ft x 0.3048 m/1 ft = 12.192 m

Therefore, 40 feet is equal to 12.192 meters.

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Answer:

Step-by-step explanation:

The meaning of the y-intercept of the given graph is the starting battery percentage of the tablet. In this case, the y-intercept is 30, which means that the tablet starts with 30 percent of battery remaining. As the x-axis represents time in hours, at the beginning, the tablet has not been in use yet, and it has a full charge of 30 percent. From the given graph, we can see that after 3 hours, the tablet's battery percentage drops to 0. Therefore, it can be concluded that the battery of the tablet does not last for more than 3 hours, and it has to be recharged after this time period.

So, the correct option that describes the meaning of the y-intercept in the context of the problem is "The tablet starts with 30 percent of battery remaining."

(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)

(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:

(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),

(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),

(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:

(1,1,1), (2,2,2), (3,3,3)

In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.

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99% confidence interval for the number of chocolate chips per cookie is

15.4 ± 1.1115

The mean of sample plus and minus the range of that sample constitutes a confidence interval.

Within a specific level of confidence, this is the range of values anticipated to fall within, if the test is repeated.

Number of cookies in the sample n = 55

Mean μ = 15.4

Standard deviation s = 3.2

Confidence = 99%

For 99% confidence interval Z-value = 2.576

Confidence interval

= μ ± Zs/√n

= 15.4 ± 2.576×3.2/√55

= 15.4 ± (8.2432/7.4162)

= 15.4 ± 1.1115

Hence, 15.4 ± 1.1115 is the 99% confidence interval for the number of chocolate chips per cookie.

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The height of cliff is 62.50 ft

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that, the angle of elevation from point A to the top of a cliff is 38°, the point A is 80 feet from the base of the cliff,

Refer to figure attached,

The scene is making a right triangle, with an acute angle 38°, and base (distance from point to base of the cliff) 80 ft, we need to find the length of perpendicular line which is the height of the cliff,

Therefore,

We know that,

tan β = ratio of the perpendicular side to base of a triangle,

Therefore,

tan 38° = AB / 80

AB = 62.50

Hence, the height of cliff is 62.50 ft

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To  calculate unit vector online we have to divide the original value of the vector by its magnitude.

A vector with a length of one is known as a unit vector. A direction vector is a unit vector that represents a spatial direction.

It is possible to determine the unit vector along the same direction if you are given an arbitrary vector. To accomplish it, use the following formula:

û = u / |u|,

Our distance calculator can be used to determine a vector's magnitude, or you can use the straightforward equation:

|u| = √(x² + y² + z²)

Finding the midpoint of a segment can be done with the help of the vector magnitude calculation.

When defining linear transformations, the unit vector is a helpful concept to understand. The matrix norm, for instance, represents the amount by which a unit vector is stretched when multiplied by a matrix.

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Answer:

Step-by-step explanation:

5 seconds later acceleration of the car is 6m/h^2

We know that the initial velocity of a car is 50 mph.

In the end, the final velocity of a car is 80 mph.

The time difference is 5 seconds.

For the calculation of the acceleration, we have this formula,

α = δv/t

so here, according to our data, velocity and time are,

u = 50 mph

v = 80 mph

t = 5 s

Finally, the acceleration of the car can be calculated by,

α = (80 - 50) / 5

α = 30 / 5

α = 6 m/h^2

From the above calculations, the car's acceleration is 6 m/h^2.

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