What are the intercepts of the line 4x + 2y = 12? x-intercept = y-intercept =​

Answer:

Below.

Step-by-step explanation:

(1/3)X = 849

x = 849*3 = 2547

The total pay per month of an operator is equal to $2547.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3.

The total monthly salary will be calculated as,

(1/3)X = 849

X = 849 x 3

X= 2547

Therefore, the total pay per month of an operator is equal to $2547.

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The distance travelled by the plane is 1365 miles.

Given,

Speed of the pane =455 miles per hour

Time taken =3 hours

To find distance covered by the plane use formula,

\(speed =\frac{Distance}{Time taken}\\ \\Distance=Speed * time taken\\\\Distance=455*3\\\\Distance=1365 miles\)

Thus, the distance travelled by the plane is 1365 miles.

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The expected number of empty bins when tossing n balls into n bins, with each toss being independent and equally likely, can be determined using the concept of probability.

Let's define the probability that a specific bin remains empty after n tosses as P(empty). Since each ball has n choices, there are n^n possible ways to distribute the balls. To find the probability that a specific bin is empty, we can consider the situation where balls can be tossed into the remaining n-1 bins, resulting in (n-1)^n possible distributions. Therefore, P(empty) = ((n-1)^n) / (n^n).

Now, to calculate the expected number of empty bins, we can use the concept of linearity of expectation. The expected value of the sum of random variables is equal to the sum of the expected values of the individual random variables. In this case, the random variables represent the empty status of each bin (1 if empty, 0 if not).

The expected number of empty bins is the sum of the probabilities of each bin being empty, which is n * P(empty). So, the expected number of empty bins = n * (((n-1)^n) / (n^n)).

Using this formula, you can determine the expected number of empty bins when n balls are tossed into n bins independently and with equal likelihood.

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Answer:

180-30

3x=150

x=50 this issss three

Answer: 39°

Step-by-step explanation:

This is a right triangle, meaning one of the angles is a 90° angle. Angle CBA in this case is the 90° angle. In order to figure out the measure of ABD, you subtract the measure of CBA by the measure of CBD, which is 51°.

90 - 51 = 39

Thus, the measure of ABD is 39°

The temperature of the soda 10 minutes after being placed in the refrigerator is approximately 61.0 degrees Fahrenheit.

The temperature of the soda 10 minutes after it is placed in the refrigerator can be determined using the given equation: T(t) = 37 + 43e^(-0.058t). To find T(10), we substitute t = 10 into the equation.

T(10) = 37 + 43e^(-0.058 * 10)

Simplifying the equation, we calculate T(10) ≈ 37 + 43e^(-0.58) ≈ 37 + 43(0.558) ≈ 37 + 23.994 ≈ 60.994.

Rounding to the nearest tenth, we obtain T(10) ≈ 61.0°F.

This means that the temperature of the soda 10 minutes after being placed in the refrigerator is approximately 61.0 degrees Fahrenheit.

The given equation models the temperature of the soda over time using an exponential decay function. The initial temperature of the soda is 80°F, and as time passes, the temperature decreases towards the ambient temperature of the refrigerator, which is 37°F. The term e^(-0.058t) represents the decay factor, where t is the time in minutes.

By plugging in t = 10, we find the temperature at that specific time point. The resulting temperature is approximately 61.0°F. This indicates that after 10 minutes in the refrigerator, the soda has cooled down considerably but has not yet reached the ambient temperature of 37°F.

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Answer:

112 ounces

Step-by-step explanation:

Malia bought 14 cans of cat food

Each of the can weighs 8 ounces

Therefore the total ounces of cat food bought can be calculated as follows

= 14×8

= 112 ounces

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

An alternative name for a combo is a choice. A combination is a choice made from a predetermined group of options. I won't organize anything here. They will be my choice. The number of distinct r selections or combinations from a set of n objects is indicated by the symbol \(^nC_{r}\).

There are eight participants in the focus group, including three software engineers, two nurses, one doctor, and two technicians.

So the 3 software engineers =3! ways, 2 nurses =2! ways,

doctor =1! way , 2 technicians =2! ways.

We must determine how many different configurations are possible so that no two pieces of software may coexist.

In order to prevent two software engineers from being seated next to each other, we first arrange five persons in a row with a space between them.

\(We get that in 6 places they can sit in ^6C_{3} ways\\ xi.e ^6C_3 = 20 (by formula of combination)\\ Therefore total ways are,6 X 2 X 1 X2 X 20 = 480.\)

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

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F is continuous at every point x₀ ∈ I. Thus, f is continuous on an interval I.

Regarding the converse, the statement "if f is continuous on an interval I, then it is uniformly continuous on I" is not always true. There exist functions that are continuous on a closed interval but not uniformly continuous on that interval. A classic example is the function f(x) = x² on the interval [0, ∞). This function is continuous on the interval but not uniformly continuous.

To prove that if a function f is uniformly continuous on interval I, then it is continuous on I, we need to show that for any ε > 0, there exists a δ > 0 such that for any x, y ∈ I, if |x - y| < δ, then |f(x) - f(y)| < ε.

Since f is uniformly continuous on I, for the given ε, there exists a δ > 0 such that for any x, y ∈ I, if |x - y| < δ, then |f(x) - f(y)| < ε.

Now, let's consider an arbitrary point x₀ ∈ I and let ε > 0 be given. Since f is uniformly continuous, there exists a δ > 0 such that for any x, y ∈ I, if |x - y| < δ, then |f(x) - f(y)| < ε.

Now, choose δ' = δ/2. For any y ∈ I such that |x₀ - y| < δ', we have |f(x₀) - f(y)| < ε.

Therefore, for any x₀ ∈ I and ε > 0, we can find a δ' > 0 such that for any y ∈ I, if |x₀ - y| < δ', then |f(x₀) - f(y)| < ε.

This shows that f is continuous at every point x₀ ∈ I. Thus, f is continuous on interval I.

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Answer:

they dif

Step-by-step explanation:

they dif bruh

Answer:

they go opposite directions

Step-by-step explanation:

i hope this helps :P

Answer:

answer: D

Step-by-step explanation:

Three cylinders and one cone of the same height and diameter.

Here, the volume of a cylinder is \(\pi r^{2} h\)

So, the same of 3 cylinders is \(3\pi r^{2} h\)

The same as a cone is \(\frac{\pi r^{2}h}{3}\)

here  \(3\pi r^{2} h\) > \(\frac{\pi r^{2}h}{3}\)

so D is not possible

Answer:

1:6 = 7:42

Step-by-step explanation:

Step-by-step explanation:

The Inaquality Notation should be ( x < - 3 ), you have it right but need to turn the arrow around or you can put in another form. ( x > 0 ) with line under the arrow.

The length of legs are 8 in and 4 in , when hypothenuse is √73 in

The Pythagorean Theorem states that a right triangle's hypotenuse (the side across from the right angle) has a square perimeter equal to the sum of its legs

Formula : a² + b² = c²

Where , a and b are legs and c is hypotenuse

According to the  question,

Hypothenuse of right angle triangle : c =√73

sum of legs => 11 = a + b

Using Pythagoras theorem ,

a² + b² = c²

=> a² + b² = (√73)²

=>  a² + b² = 73 ---------(1)

As we know ,

(a + b)² = a² + b² + 2ab

=> a² + b² = (a + b)² -2ab

Substituting the value in equation (1)

=> (a + b)² -2ab = 73

=> 11² - 2ab = 73

=> 2ab = 121 - 73

=> 2ab = 48

=> ab = 24

=> a = 24/b

Substituting the value of a,

24/b + b = 11

=> 24 + b² = 11b

Solving the quadratic equation,

b = 8 , 3

Therefore , When a = 3 , b = 8

and when a = 8 , b = 3

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Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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Statistical measures, you can construct a box plot that shows the range, median, and quartiles of Tisha's running distances over the 10 weeks.

A statistical measure is a numerical value that provides information about a specific aspect of a dataset's distribution, such as its central tendency, spread, or variability. Box plots require several statistical measures to be constructed, including:

Minimum: The smallest value in the dataset. In this case, the minimum value is 4.

Maximum: The largest value in the dataset. In this case, the maximum value is 16.

Median: The middle value of the dataset when it is arranged in numerical order. In this case, the median is the average of the two middle values, which are 8 and 9. The median is therefore (8 + 9) / 2 = 8.5.

First Quartile (Q1): The value below which 25% of the data falls. In this case, the first quartile is the median of the first half of the data, which is 6.

Third Quartile (Q3): The value below which 75% of the data falls. In this case, the third quartile is the median of the second half of the data, which is 14.

With these statistical measures, you can construct a box plot that shows the range, median, and quartiles of Tisha's running distances over the 10 weeks.

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Answer:

6.4

Step-by-step explanation:

This is because 20% of 32 is 6.4.

1936 gray tiles

Suppose that we have a square with dimensions y × y.

The diagonals each have y tiles. If y is even, the number of yellow tiles is 2y, because the 2 diagonals don't intersect.

If y is odd, then the number of yellow tiles is y+y-1= 2y-1. (We have to subtract 1 because the center tile is counted 2 times).

We know that there are 89 yellow tiles, which is an odd number, so 89 = 2y-1.

This implies that y = 45. So, the dimensions of the floor are 45×45 2025 square units.

Since all of the other tiles are gray, there are 2025 - 89 = 1936 gray tiles.

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The first four terms of the infinite geometric series are 11/2, 11/6, 11/18, and 11/54.

We can use the formula for the sum of an infinite geometric series to find the value of the first term:

S = a / (1 - r)

Where S is the sum of the infinite geometric series, a is the first term, and r is the common ratio.

Given that:

S=33/4

r=1/3

Substituting the given values:

33/4 = a / (1 - 1/3)

33/4 = a / (2/3)

a = (33/4) × (2/3) = 11/2

Now that we know the first term, we can use the formula for the nth term of a geometric series to find the first four terms:

an = a × r^(n-1)

Where an is the nth term, a is the first term, r is the common ratio, and n is the number of the term we want to find.

So the first four terms are:

a1 = 11/2

a2 = 11/2 × 1/3 = 11/6

a3 = 11/6 × 1/3 = 11/18

a4 = 11/18 × 1/3 = 11/54

Therefore, the first four terms are 11/2, 11/6, 11/18, and 11/54.

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Answer:

1/8

Step-by-step explanation:

ingna ko kung wrong

nakasabot ka

Answer:

62 in^2.

Step-by-step explanation:

We can do this by working out the area of each of the 6 rectangles and then adding them up.

The area of a triangle = width * length.

Reading from left to right and top to bottom:

Total area = 7 * 1 + 3 *1  + 7 *3 + 3*1 + 7*1 + 7*3

= 7 + 3 + 21 + 3 + 7 + 21

= 10 + 24 + 28

= 62.

Comparing only the mean distances, we would infer that Henry jogs for a longer distance than Carl.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

To calculate the mean in the context of this problem, we consider the same period of time.

As we are working with the same period of time and Henry has a larger mean, we can conclude that Henry jogs for a longer distance than Carl.

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Answer:

66.5

Step-by-step explanation:

9.5 × 7 is 66.5

Hope this helps!

The ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class is 10:9.

A ratio shows us the number of times a number contains another number.

The complete question is:

The ratio of the number of students in Mr. Moore’s class compared to the number of students in miss Henry’s class is 5:4. The ratio of the number of students in Miss Henry’s class compared to the number of students in Mr. Wilson’s class is 8:9. What is the ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class?

The ratio of the number of students in Mr.Moore's class compared to the number of students in Miss henry's class is 5:4.

Moore/Henry = 5/4

The ratio of the number of students in Miss Henry's class compared to Mr. Wilson's is 8:9.

Henry/Wilson= 8/9

To find the ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class, we need to multiply the two of the given ratios, therefore, we can write the ratios as,

Moore/Henry × Henry/Wilson = 5/4 × 8/9

Moore/Wilson = 10/9

Hence,  the ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class is 10:9.

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Answer:

First ratio is 5:4. 4 is equal to Henry class

If you multiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

=> 2(5:4)

=> 10:8

=> 8:9

So, the answer is 10:9.

Answer: A reflection (Across the y-axis)

Step-by-step explanation:

Transformation possiblitites:

Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.

Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.

Dilation: The new point if dilated wouldn't be in close proximity with the original point.

There are 12 cells or groups in a 3 × 4 ANOVA design.

So, the answer is option B.

This design involves three levels of one independent variable and four levels of another independent variable, resulting in 12 unique combinations or cells.

Each cell represents a specific condition or treatment group in the study, and the dependent variable is measured for each group.

ANOVA, or analysis of variance, is a statistical method used to compare means between groups to determine if there are significant differences. Understanding the number of cells or groups in the design is important for planning the study and interpreting the results accurately.

Hence,the correct answer is B.

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To create a parallelogram, just think of 2 different pairs of parallel lines that never intersect.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. To create a parallelogram, we need to visualize two different pairs of lines that never intersect. The pairs of lines must be parallel to each other, meaning they have the same slope and will never converge or cross each other. By ensuring that these pairs of lines remain parallel, we can form a quadrilateral with opposite sides that are parallel and equal in length, defining a parallelogram.

Understanding the concept of parallel lines is fundamental for constructing a parallelogram. This knowledge enables us to identify and visualize the appropriate lines that can form a parallelogram. By ensuring the parallelism of these lines, we guarantee the creation of a quadrilateral with specific geometric properties.

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Using the normal curve to estimate the following percentages. The answer that is closes to being correct is 39.4%. So, the correct answer is C.

Since the distribution is approximately normal, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages.

a. 10.6%: This corresponds to the area under the curve that is more than 2 standard deviations below the mean. Using the rule, we know that about 2.5% of the area under the curve is more than 2 standard deviations below the mean. So 10.6% is too high. The answer is not a.

b. 89.4%: This corresponds to the area under the curve that is less than one standard deviation above the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 89.4% is too high. The answer is not b.

c. 39.4%: This corresponds to the area under the curve that is within one standard deviation of the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 39.4% is the closest to being correct. The answer is c.

d. 78.8%: This corresponds to the area under the curve that is less than two standard deviations above the mean. Using the rule, we know that about 95% of the area under the curve is within two standard deviations of the mean. So 78.8% is too high. The answer is not d.

e. 68.27%: This corresponds to the area under the curve that is within one standard deviation of the mean. This is the same as c. So e is not the correct answer.

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