He must anticipate drawing a red tile. 30 times minimum.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given this, Alex placed 8 blue tiles and 12 red tiles in a container. He plans to draw a tile, record its color, and replace it in the container before drawing another.
Let X be the number of times a red tile is drawn from the container
Number of red tiles = 12
Total tiles = 12 + 8 = 20
p = P(randomly drawing a red tile) = 12/20 = 0.6
n = 50 number of draws or trials
Since Alex replaces the tile before he draws the next tile, we can model
the distribution of X according to Binomial Distribution
Thus, X ~ Binomial with n = 50 and p = 0.6
The Expected value of a binomial variable is E(X) = np
E(X) = n * p
= 50 * 0.6
= 30
therefore, he should expect to draw a red tile At least 30 times.
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What is 188 cm in feet?
The measure of 6.16798 feet are equal to 188 cm.
What does 188 cm in feet mean?
a dimension in US measurements that is 12 inches long (or wide). The definition of a foot in the Metric System is 0.3048 metres (the foot is defined that way).
The word "foot," which refers to the sole unit of measurement, is pluralized as "foot." In this sense, how far or how long you are measuring determines the mathematical difference between a foot and a foot.
The measurements in feet and feet are often used. They enable us to estimate the size of a person or a group. They can also help us calculate the separation between two spots. The word "foot," which refers to the sole unit of measurement, is pluralized as "foot."
=188 cm = 6.16798.
=188 cm = 6.17
Divide the length value by 30.48
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How to know if a matrix is in echelon form or reduced echelon form?
If the matrix is said to be in reduced echelon form then it should satisfy the following conditions:
1. The pivot in any non-zero row is the only non-zero entry in its column.
2. The pivot in any non-zero row is positive.
What is an echelon form?
A matrix in reduced echelon form is also sometimes referred to as a row-reduced echelon form or simply a reduced row echelon form (RREF). To check if a matrix is in RREF, you need to verify if the matrix satisfies both the conditions for echelon form and the additional conditions for RREF.
1. A matrix is said to be in echelon form if it satisfies the following conditions:
2. All zero rows (if any) are at the bottom of the matrix.
3. The leading entry (the first non-zero entry) of each non-zero row occurs to the right of the leading entry of the previous row.
4. The leading entry in any non-zero row is 1, called a pivot.
A matrix is said to be in reduced echelon form if it is in echelon form and additionally satisfies the following conditions:
1. The pivot in any non-zero row is the only non-zero entry in its column.
2. The pivot in any non-zero row is positive.
Hence, if the matrix is said to be in reduced echelon form then it should satisfy the following conditions:
1. The pivot in any non-zero row is the only non-zero entry in its column.
2. The pivot in any non-zero row is positive.
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The table gives the values of a function obtained from an experiment. Use the table to estimate 9 3 f(x) dx using three equal subintervals and a right riemann sum, left riemann sum, and a midpoint sum.
Using three equal subintervals and a right riemann sum, left riemann sum, and a midpoint sum is -6.4, 3.8, -1.0.
1) Integral with left end points:
A-left = -3.4*2 + (-0.6)*2 + 0.8*2 = -6.4
2) Integral with right end points:
A-right = -0.6*2 + 0.8*2 + 1.7*2 = 3.8
3) Integral with midpoints:
A-mid = -2.2*2 + 0.2*2 + 1.5*2 = -1.0
A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
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boxplot a and boxplot b are drawn on the same axes. the box part of boxplot a is shorter in length than the box part of boxplot b. what can you tell about the two data sets?
A boxplot consists of several components including a box that shows the interquartile range (IQR) of the data, a line in the box representing the median, and "whiskers" that extend out from the box to show the range of the data.
If the box part of boxplot A is shorter in length than the box part of boxplot B, it suggests that the data in the first dataset (A) has a smaller interquartile range (IQR) compared to the data in the second dataset (B).
This means that the middle 50% of the data in dataset A is more tightly clustered together compared to the middle 50% of the data in dataset B. This can be due to the presence of outliers in the second dataset.
Boxplot A vs B ComparisonBoxplots are commonly used in statistical analysis and data visualization, but it is not used on a daily basis in every field. They are particularly useful in fields such as finance, biology, and engineering where large amounts of data need to be analyzed and visualized to draw insights and make decisions.
In these fields, they may be used daily or several times a week, depending on the specific use case and the data that needs to be analyzed. However, in other fields such as the arts, humanities, or some service industries, boxplots may not be used as frequently.
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How far is 25% of a 2000 kilometer trip?
Answer:
500 kilometers
Basically, just find out what is 25% of 2000.
First, you find what 25% is as a decimal and then multiply it by 2000.
25% as a decimal is 0.25
0.25 * 2000 = 500
25% of 2000 is 500.
Step-by-step explanation:
Hope it helps! =D
Find the measure of each arc in circle C.
The measure of the arc PN, arc QN, arc RP, arc RM, arc RZ, and arc RPN will be 65°, 128°, 125°, 120°, 55°, and 215°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
The measure of the arc MZ is given as,
arc MZ + arc MN = 90
arc MZ + 25 = 90°
arc MZ = 65°
The measure of the arc QN is given as,
arc QN = 38° + 90°
arc QN = 128°
The measure of the arc RP is given as,
arc PR = 87° + 38°
arc PR = 125°
The measure of the arc RZ is given as,
arc RZ + 87° + 38° + 90° + 25° + 65° = 360°
arc PR = 55°
The measure of the arc RM is given as,
arc RM = 55° + 65°
arc RM = 120°
The measure of the arc RPN is given as,
arc RPN = 87° + 38° + 90°
arc RPN = 215°
The measure of the arc PN, arc QN, arc RP, arc RM, arc RZ, and arc RPN will be 65°, 128°, 125°, 120°, 55°, and 215°, respectively.
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The solid with a semicircular base of radius 11 whose cross sections perpendicular to the base and parallel to the diameter are squares. Place the semicircle on the xy-plane so that its diameter is on the x-axis and it is centered on the y-axis. Set up the integral that gives the volume of the solid. Use increasing limits of integration.
The volume of the solid is 1789.33.
Volume is defined as a capacity occupied by a three-dimensional solid shape. In any shape, it is hard to visualize but can be compared between shapes. For example, the volume of a compass box is greater than the volume of an eraser placed inside it. For calculating the area of any two-dimensional shape, we divide the portion into equal square units. Similarly, while calculating the volume of solid shapes we will divide it into equal cubical units. The S.I. unit of volume is cubic meter (m3) since volume is a quantity of the three-dimensional space occupied by a shape or surface. However, the most commonly used unit for volume is liter. Apart from this, large and small volumes are measured in other units like milliliter (ml), pints, gallons, and others.
For a square base parallel to the x-axis, you can use the formula:
[tex]V = \int\limits^a_b {f(y)}^{2} \, dy[/tex]
The equation for a circle is x² + y² = r²
⇒ x = √(11² - y²) = √(121 - y²)
Then, if we consider that for a height y, the length x is double, we have that the length of each cross-section is given by:
f(y) = 2√(81 -y²)
With this, we can propose the following integral to obtain the volume that they are asking us:
[tex]V = \int\limits^{11}_0 {f(y)^{2} } \, dx \\V = \int\limits^{11}_0 {(2\sqrt{121-y^{2} } )^{2}} \, dx \\V = 4(121y - \frac{y^{3} }{3} )[/tex]
We get that the volume is V=1789.33.
Thus, the volume of the solid is 1789.33.
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The solid has a volume of 1789.33.
The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. A compass box, for instance, has a bigger volume than an eraser inserted inside of it. We split the area into equal square units to determine the area of any two-dimensional form. Similarly to this, when computing the volume of solid things, we will divide it into equal cubical units. The cubic meter is the SI unit for volume because it measures how much three-dimensional space is occupied by a form or surface (m3). However, the liter is the unit of volume that is most frequently used. Other units used to measure large and small amounts include milliliters (ml), pints, gallons, and others.
The formula is: for a square base parallel to the x-axis.
[tex]V=\int\limits^a_b {f}(y)^2 \, dy[/tex]
The circle's equation is x2 + y2 = r2.
⇒ x = √(11² - y²) = √(121 - y²)
The length of each cross-section is thus determined by: if we assume that at a height y, the length x is twofold.
f(y) = 2√(81 -y²)
As a result, we can offer the following integral to acquire the requested volume:
[tex]V=\int\limits^1_0 {f}(y)^2 \, dx[/tex]
[tex]V= \int\limits^1_0 {(2\sqrt{(121-y^2)^2} } \, dx[/tex]
[tex]V=4(121y-\frac{y^3}{3} )[/tex]
The volume is determined to be V=1789.33.
As a result, the solid has a volume of 1789.33.
The complete question is:-
Use the general slicing method to find the volume of the following solid.
The solid with a semicircular base of radius 11 whose cross sections perpendicular to the base and parallel to the diameter are squares. Place the semicircle on the xy-plane so that its diameter is on the x-axis and it is centered on the y-axis. Set up the integral that gives the volume of the solid. Use increasing limits of integration.
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Two, four,ix ided die are rolled once. Determine the um of two dice le than 5. Contruct a probability ditribution and olve for the mean,variance & tandard deviation
36 observations are produced by multiplying $6 by 6 when two fair dice are rolled.
What is meant by probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability. The likelihood that something will happen is known as probability. The number of possible outcomes is divided by the total number of possible outcomes to determine probability.When two fair dice are rolled, $6 multiplied by 6 results in 36 observations.
[tex]& P(X=2)=P(1,1)=\frac{1}{36} \\[/tex]
[tex]& P(X=3)=P(1,2)+P(2,1)=\frac{2}{36}=\frac{1}{18} \\[/tex]
[tex]& P(X=4)=P(1,3)+P(2,2)+P(3,1)=\frac{3}{36}=\frac{1}{12} \\[/tex]
[tex]& P(X=5)=P(1,4)+P(2,3)+P(3,2)+P(4,1)=\frac{4}{36}=\frac{1}{9} \\[/tex]
[tex]& P(X=6)=P(1,5)+P(2,4)+P(3,3)+P(4,2)+P(5,1)=\frac{5}{36} \\[/tex]
[tex]& P(X=7)=P(1,6)+P(2,5)+P(3,4)+P(4,3)+P(5,2)+P(6,1)=\frac{6}{36}=\frac{1}{6} \\[/tex]
[tex]& P(X=9)=P(3,6)+P(4,5)+P(5,4)+P(6,3)=\frac{4}{36}=\frac{1}{9}[/tex]
[tex]& P(X=10)=P(4,6)+P(5,5)+P(6,4)=\frac{3}{36}=\frac{1}{12} \\[/tex]
[tex]& P(X=11)=P(5,6)+P(6,5)=\frac{2}{36}=\frac{1}{18} \\[/tex]
[tex]& P(X=12)=P(6,6)=\frac{1}{36}[/tex]
Therefore, the required probability distribution is as follows.
Then, E(X) = [tex]\sum \mathrm{X}_{\mathrm{i}} \cdot[/tex] [tex]\mathrm{P}\left(\mathrm{X}_{\mathrm{i}}\right)$[/tex]
[tex]& =2 \times \frac{1}{36}+3 \times \frac{1}{18}+4 \times \frac{1}{12}+5 \times \frac{1}{9}+6 \times \frac{5}{36}+7 \times \frac{1}{6}+8 \times \frac{5}{36}+9 \times \frac{1}{9}+10 \times \frac{1}{12}+ \\[/tex]
[tex]& 11 \times \frac{1}{18}+12 \times \frac{1}{36} \\[/tex]
[tex]& =\frac{1}{18}+\frac{1}{6}+\frac{1}{3}+\frac{5}{9}+\frac{5}{6}+\frac{7}{6}+\frac{10}{9}+1+\frac{5}{6}+\frac{11}{18}+\frac{1}{3} \\[/tex]
=7
[tex]& \mathrm{E}\left(\mathrm{X}^2\right)=\sum \mathrm{X}_{\mathrm{i}}^2 \cdot \mathrm{P}\left(\mathrm{X}_{\mathrm{i}}\right) \\[/tex]
[tex]& =4 \times \frac{1}{36}+9 \times \frac{1}{18}+16 \times \frac{1}{12}+25 \times \frac{1}{9}+36 \times \frac{5}{36}+49 \times \frac{1}{6}+64 \times \frac{5}{36}+81 \times \frac{1}{9}+ \\[/tex]
[tex]& 100 \times \frac{1}{12}+121 \times \frac{1}{18}+144 \times \frac{1}{36} \\[/tex]
[tex]& =\frac{1}{9}+\frac{1}{2}+\frac{4}{3}+\frac{25}{9}+5+\frac{49}{6}+\frac{80}{9}+9+\frac{25}{3}+\frac{121}{18}+4 \\[/tex]
[tex]& =\frac{987}{18}=\frac{329}{6}=54.833 \\[/tex]
[tex]& \text { Then, } \mathrm{V} \text { ar }[/tex][tex](\mathrm{X})=\mathrm{E}\left(\mathrm{X}^2\right)-[\mathrm{E}(\mathrm{X})]^2 \\[/tex]
[tex]& =54.833-(7)^2 \\[/tex]
= 54.833 - 49
=5.833
[tex]& \therefore \text { Standard deviation }=\sqrt{\mathrm{V} \text { ar }(\mathrm{X})} \\[/tex]
[tex]& =\sqrt{5.833} \\[/tex]
= 2.415
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determine the value(s) of such that = note: if there is more than one value write them separated by commas.
Two numbers, 4, and -2, satisfy the equation such that =. The expression is 2(x+2)(x-2) and can be stretched to 2x2 - 8 by writing it that way. By putting the expression's value equal to 0, we may get the two solutions for x.
Expanding the formula 2(x+2)(x-2) yields 2x2 - 8. Thus, the two numbers that make the expression equal to 0 are the two solutions for x. The expression is 2(x+2)(x-2) and can be stretched to 2x2 - 8 by writing it that way You must set the equation equal to 0 and solve for x in order to find these values. This will allow you to identify the two x values that satisfy the equation: 4 and -2. With the expression on one side and 0 on the other, this can be compared to a balance act. The two solutions for x are the two values of x that make the equation balanced.
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Rectangle abcd was dilated to create rectangle a'b'c'd. What is ab? 6 units 7. 6 units 9. 5 units 12 units.
the length of side a'b' will be greater than the length of side ab. The length of side a'b' is 12 units.
Rectangle abcd is a 4-sided shape with sides of length a, b, c, and d. When a rectangle is dilated, it is enlarged or scaled up. The length of the sides of the new rectangle, a', b', c', and d', will be greater than the original sides of the rectangle abcd. Therefore, the length of side a'b' will be greater than the length of side ab. The length of side a'b' is 12 units.
The length of side ab of the new rectangle (a'b'c'd) is 12 units, since it was dilated from 4 units and 6 units (abcd).
The complete question is :
Rectangle abcd has side lengths of 4 units and 6 units. It was dilated to create rectangle a'b'c'd. What is the length of side ab of the new rectangle?
6 units
7. 6 units
9. 5 units
12 units.
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A, b, c, and d-length sides make up the four-sided rectangle abcd. A rectangle is expanded or scaled up when it is dilated. The new rectangle's sides, a', b', c', and d', will all be longer than the rectangle's initial sides, abcd. As a result, side a'b' will have a length that is longer than side ab. Side a'b' measures 12 units in length.
6 units
7. 6 units
9. 5 units
12 units.
explain why s is not a basis for r2. s = {(1, 5), (1, 0), (0, 1)}• S is linearly dependent.• S does not span R2.• S is linearly dependent and does not span R2.
S is linearly dependent and does not span R^2, making it not a basis for R^2.
The set S = {(1, 5), (1, 0), (0, 1)} is not a basis for R^2, as it is linearly dependent and does not span R^2.
A set is considered linearly dependent if one of the vectors in the set can be expressed as a linear combination of the other vectors. In the set S, the vector (1,0) can be expressed as a linear combination of (1,5) and (0,1), meaning that the set is linearly dependent.
A set is considered to span R^2 if every vector in R^2 can be expressed as a linear combination of the vectors in the set. In the set S, the vector (2,5) cannot be expressed as a linear combination of the vectors in S, meaning that S does not span R^2.
Therefore, S is linearly dependent and does not span R^2, making it not a basis for R^2.
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The following are the rating of male by female in an experiment involving peed dating. Ue the given data to contruct a boxplot and identify the 5-number ummary. 1. 0 1. 5 2. 5 3. 0 4. 0 4. 0 4. 5 4. 5 4. 5 4. 5 4. 5 5. 0 5. 0 5. 5 5. 5 5. 5 6. 0 6. 0 6. 5 6. 5
1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.
How do you find the 5 number summary?
When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.
Smallest value = 1.0
Median of the first half data Q1 = 3.5
Median Q2= 5.0
Median of the second half data Q3 = 6.5
Largest number = 10.0
The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
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Bryan and Jeremy have 3,070 grams of cereal. How
many kilograms of cereal is this?
A 3.07 kg
B 30.7 kg
C 307,000 kg
D 3,070,000 kg
Help pls
Answer:
Step-by-step explanation:
Maybe just add or multiply the number by something to get the answer
estimate the median for the 400 observations shown in the histogram, and note whether you expect the mean to be higher or lower than the median. compared to the median, what would you expect the mean of this distribution to be?
The mean of the distribution would be lower than the median of 82.5.
The median for the 400 observations shown in the histogram can be estimated as follows:
Since there are 400 observations, the median will be the 200th observation. The histogram shows that there are 55 observations between 90 and 100 and 155 observations between 80 and 90. Approximately 210 observations are between 80 and 100, and 140 observations are between 85 and 100.
Therefore, the 200th observation is likely to be between 80 and 85. The median can be calculated as the average of 80 and 85, which is (80 + 85) / 2 = 82.5.
The histogram shows that the distribution is skewed to the left, so the mean is expected to be lower than the median. The mean of the distribution would be lower than the median of 82.5.
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The mean of the distribution would be lower than the median of 82.5.
The median for the 400 observations shown in the histogram can be estimated as follows:
Since there are 400 observations, the median will be the 200th observation. The histogram shows that there are 55 observations between 90 and 100 and 155 observations between 80 and 90. Approximately 210 observations are between 80 and 100, and 140 observations are between 85 and 100.
Therefore, the 200th observation is likely to be between 80 and 85. The median can be calculated as the average of 80 and 85, which is (80 + 85) / 2 = 82.5.
The histogram shows that the distribution is skewed to the left, so the mean is expected to be lower than the median. The mean of the distribution would be lower than the median of 82.5.
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Is there any function that is both even *and* odd?
The only function whose range includes all real values and is both odd and even is the constant function f (x) = 0, which is precisely zero.
What is the only function which is both even and odd?The constant function that is precisely zero, f (x) = 0, is the only function whose range encompasses all real values and is both odd and even. When two functions are added together, they are either even or odd.
F(x) = 0, which is defined for all real numbers, is the unique function that is both even and odd. This is merely a line that is located on the x-axis. A function that is even is the result of two even functions. An even function is the result of two odd functions. An odd function is created when an even function and an odd function are combined.
Neither an even nor an odd function is a function f(x) in which f(x) ≠ f(−x) and −f(x) ≠ f(−x) for any value of x. These functions aren't symmetrical either about the origin or the y-axis on a graph.
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X = [2 4 6 8 10 12 14 16] Part 1: Approximately what percentage of the data lie between 4 and 8 hours?- This cannot be determined from the boxplot- about 50% - about 75% - about 33% - about 25%
The percentage of the data X = [2 4 6 8 10 12 14 16] lie between 4 and 8 hours about 50%.
A boxplot is a graphical representation of the data in a set, and it can be used to quickly identify patterns in a data set. In this example, we have a set of numbers X = [2, 4, 6, 8, 10, 12, 14, 16]. A boxplot of this data set would show a box that contains the middle 50% of the data and the whiskers that extend out to the maximum and minimum values.
From the boxplot, we cannot determine what percentage of the data lie between 4 and 8 hours. However, we can estimate that approximately 25% of the data lie between 4 and 8 hours, as this is a quarter of the middle 50% of the data.
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What is Simpson's Rule?
The integral of a function between two limits, a and b, can be approximated numerically using Simpson's Rule. It is based on understanding the region beneath a parabola or other flat curve. h = (b - a) / N and N is an even integer in this rule.
What is Simpson's Rule?A numerical technique known as Simpson's Rule uses quadratic functions to estimate the value of a definite integral. The English mathematician Thomas Simpson (1710–1761) is honored by having his method called in his honor.Thomas Simpson (1710–1761), the author of the 1743 publication of the Simpson's rule for estimating definite integrals, received its name. Simpson was not, however, the first to find the rule; James Gregory (1638-1675) published it in 1668, and Bonaventura Cavalieri (1598-1647) discovered a variation of it as early as 1639 [3, p.When creating a new marine vessel, addressing stability and buoyancy issues. The computation of a vessel's displacement, total wetted surface area, and longitudinal center of buoyancy of the hull are a few applications of this discipline's use of Simpson's rule.Simpson's Rule equation is,
[tex]$\int_a^b f(x) x^{\prime} \approx \frac{\Delta x}{3}\left(f\left(x_0\right)\right. \\[/tex]
[tex]$+4 f\left(x_1\right)+2 f\left(x_2\right)+\cdots \\[/tex]
[tex]$\left.+4 f\left(x_{n-1}\right)+f\left(x_n\right)\right) \\[/tex]
[tex]$\quad \text { where } \Delta x=\frac{b-a}{n} \\[/tex]
[tex]$\quad \text { and } x_i=a+i \Delta x[/tex]
n = it is an even subdivisions of the function.
a = point at the function graph's beginning
b = point at the function graph's tip
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(HELP MX+ B)alyssa just accepted a job at a new company… HELP
Answer:
Salary after 9 years: $86,000
Salary after t years: ($2,000×t)+$68,000
Does someone mind helping me with this problem? Thank you!
Answer: 17.63698
Step-by-step explanation:
8 kilogram is equal to 17.63698096 pounds. If You want convert kilograms to pounds, multiply the kilogram value by 2.2046226218.
Answer:
8 kg is equal to 17.6 lbs.
Step-by-step explanation:
Since 2.2 lbs is equal to 1 kg, you would have to multiply 2.2 by 8.
2.2 x 8 = 17.6
Because 2.2 multiplied by 8 is 17.6 that means 8 kg is the same as 17.6 lbs.
someone help fr pls
How many solutions does the system of equations below have? y = -5x - 3/10
y = 3/4x - 10/7
Answer:
it has 1 solution
Step-by-step explanation:
find the parametric equation of the line through a parallel to b, using t as the parameter. 2 -8 a= b= 5 + (type an integer or a simplified fraction for each matrix element.)
The Parametric equation is x = 2 + 3t y = -8.
Using the two points as a starting point, we can get the vector equation of the line by first locating the direction vector and then adding it to one of the points to obtain the general equation.
Subtracting the two points yields the direction vector:
b - a = (5, -8) - (2, -8) = (3, 0) (3, 0)
The direction vector is then added to one of the points, and t is used as the parameter to find the general equation of the line through point a parallel to point b:
x = 2 + 3t
y = -8
Therefore, x = 2 + 3t y = -8 is the parametric equation of the line through point a parallel to point b.
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Cellular phone company A charges a $27.95 monthly fee and $.12/min for local calls. Company B charges $12.95 a month and $.32/min for local calls.
A) Write an equation to represent the number of minutes a month, x, the companies will charge the same amount.
B) After how many minutes will company A and Company B charge the same amount?
C) What is that amount?
On solving the provided question, we can say that, by solving the equations that amount is $36.95
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
Suppose x be the number of minutes of local calls when cost of plans are the same
Cost of Plan 1is $27.95+.12x
Cost of Plan 2 is $12.95+.32x
[tex]$27.95+0.12x=12.95+.32x \\[/tex]
[tex]$27.95-$12.95+.12x-.12x=$12.95-$12.95+.32x-.12x\\$15.00=.20x[/tex]
x=75 minutes
[tex]27.95+.12(75)=12.95+.32(75)\\27.95+9.00=12.95+24.00\\36.95=36.95[/tex]
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Cual es el resultado de la división?
Answer:
Step-by-step explanation:
0.52
There are 2 groups with 10 carrots in each group how many carrots are there in all enter the answer in the box.
Answer:
Step-by-step explanation:20 10x2=20
Answer: 20
Step-by-step explanation: 2 times 10 = 20
Question 1 of 10
Numerical data are information about people, places, and things that can
measured with
Answer here
SUB
Numerical data are information about people, places, and things that can measured with numbers.
What are numbers?
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
The system of numbers -
Is a helpful collection of numbers.
It reflects the number's algebraic and mathematical structure.
It offers a common depiction.
People utilise numbers, such as 1, 2, 3, 4, etc., to count various things or objects. Since thousands of years ago, people have used numerals to count objects.
Numbers are used to measure numerical data that are information about people, places, and things.
Therefore, the measurement is done by numbers.
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In which of the rectangles are the area and the perimeter the same number of units or square units?
Answer: 4 yards x 4 yards
Step-by-step explanation:
All squares have the same perimeter and area
Which of these functions (or none of them):(1) z = ey (y cos x - x sin y) or 2=(2) z = e (y cos x - x sin x)satisfies the equationმ²z/მ2+მ²z/მy²=0
As per the definition of Laplace equation, none of the functions satisfy the Laplace equation.
The equation ∇²z/∇x² + ∇²z/∇y² = 0 is known as the Laplace equation, which describes the behavior of a scalar field that is in a state of equilibrium, meaning it is not changing over time.
When examining the two functions, z = ey (y cos x - x sin y) and z = e (y cos x - x sin x), it is important to determine if they satisfy the Laplace equation.
For the first function, z = ey (y cos x - x sin y), the partial derivatives can be calculated as follows:
∇²z/∇x² = e^y (cos x + x cos y - y sin x)
∇²z/∇y² = e^y (x sin x - sin y - y cos y)
By adding these two partial derivatives together, we can see that the first function does not satisfy the Laplace equation, as the result is not equal to zero.
For the second function, z = e (y cos x - x sin x), the partial derivatives can be calculated as follows:
∇²z/∇x² = -e (cos x + x cos x - y sin x)
∇²z/∇y² = -e (x sin x - sin y - y cos x)
Once again, by adding these two partial derivatives together, we can see that the second function also does not satisfy the Laplace equation, as the result is not equal to zero.
Therefore, none of the given functions satisfy the Laplace equation.
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∠I=90°, IH = 12, HG = 37, and GI = 35. What ratio represents the cosecant of ∠G?
The cosecant of ∠G is 1/sin(∠G) = 37/35
The cosecant of an angle is defined as the reciprocal of the sine of the angle. To find the sine of ∠G, we can use the Pythagorean theorem on the right triangle GHI:
The Pythagorean theorem is a mathematical principle that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
So, [tex]H^2 = side^2 + side^2[/tex]
[tex]35^2 + 12^2 = GI^2 + IH^2 = HG^2[/tex]
1225 + 144 = 1225 + 144 = [tex]37^2[/tex]
1369 = 1369 = 1369
So, HG = 37.
Hence, the sine of ∠G is 35/37.
Therefore, the cosecant of ∠G is 1/sin(∠G) = 37/35.
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Evaluating and dividing polynomials (4 problems) do all and show work please.
Therefore , the solution of the given problem of polynomial comes out to be quotient comes out to be (p³ + 2p² + 6p -10) .
Describe polynomials.A polynomial is a mathematical statement with coefficients or uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to a phrase in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that can be added, deducted, multiplied, then raised to negative number powers of non-variables.
Here,
Given :
=> (p⁴ -7p³ - 12p² - 64p + 90 ) / (p-9)
=> (p-9) * (p³ + 2p² + 6p -10) / (p-9)
=> (p³ + 2p² + 6p -10)
Thus , quotient comes out to be (p³ + 2p² + 6p -10) .
Therefore , the solution of the given problem of polynomial comes out to be quotient comes out to be (p³ + 2p² + 6p -10) .
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Picking a multiple of 5 from the integers between 1 and 20
Answer:
if all you want is a multiple of 5 then here are a few; 5, 10, 15, and 20
Step-by-step explanation:
a multiple of 5 is any number that 5 can go into without having a remainder. it's the same for all numbers.