The probability of rolling an even number on a single die is 1/2, or 50%. This can be calculated by considering the possible outcomes of rolling the die.
There are six possible outcomes, and three of these are even numbers (2, 4, and 6). Therefore, there is a 3/6, or 1/2, chance of rolling an even number. In terms of probability, this can be expressed as a fraction, percentage, or decimal. As a fraction, the probability of rolling an even number on a single die is 3/6, or 1/2. As a percentage, the probability of rolling an even number on a single die is 50%. As a decimal, the probability of rolling an even number on a single die is 0.5. No matter how it is expressed, the probability of rolling an even number on a single die is 1/2, or 50%. This can be easily remembered by considering that there are six possible outcomes, and three of them are even numbers.
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A group of 125 students went on a field trip to a museum. Mr. Shan asked a random sample of 50 students which exhibit was their favorite. Ten students favored the insect exhibit, 15 students favored the space exhibit, and 25 students favored the dinosaur exhibit. Based on the survey results, which inferences about the entire group of 125 students are true? Select TWO correct answers. 1.One-fifth of students favored the insect exhibit. 2.The dinosaur exhibit is most favored. 3.The insect exhibit is favored more than the space exhibit. 4.Only 24% of students favored the space exhibit. 5.Fifty students favored the dinosaur exhibit.
Answer:1 and 2
Step-by-step explanation:
so, they asked 50 students and then that was later broke down to smaller groups.
10,15,25
so, for every 10 students will be one. 1 vote= 10 students.
also, the dinosaur had the greatest number of votes so that explains answer 2.
A ladder leans against the side of a house. The angle of elevation of the ladder is 69 when the bottom of the ladder is 8ft from the side of the house. How high is the top of the ladder from the ground? Round your answer to the nearest tenth.
Answer:
20.8
Step-by-step explanation:
Let h be the height of the ladder. We know that the distance BC is 8 ft, and the angle of elevation BAC is 69 degrees. Therefore, we have:
tan(69) = h/8
Multiplying both sides by 8, we get:
8*tan(69) = h
Using a calculator, we get:
h ≈ 20.8 ft
Therefore, the height of the top of the ladder from the ground is approximately 20.8 feet.
Use the information given below to find tan(a + B)
cos a = 3/5, with a in quadrant IV
tan B = 4/3, with B in quadrant I I I
Give the exact answer, not a decimal approximation.
tan(a + B) = ?
let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said
[tex]\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}[/tex]
A capital is invested, at simple interest, at the rate of 4% per month. How long, at least, should it be applied, so that it is possible to redeem triple the amount applied? * 1 point a) 15 months b) 30 months c) 35 months d) 50 months.
The amount of time needed for this capital to triple would be 50 months, the letter "d" being correct. We arrive at this result using simple interest.
Simple interestSimple interest is a type of financial calculation that is used to calculate the amount of interest on borrowed or invested capital for a given period of time.
In order to find the amount of time required for the principal to be equal to three times the redemption, we have to note that the amount will be equal to three times the principal, using this information in the formula. Calculating, we have:
M = C * (1 + i * t)
3C = C * (1 + 0.04t)
3 = 1 + 0.04t
0.04t = 3 - 1
0.04t = 2
t = 2/0.04
t = 50
Use a number line to find equivalent fractions to 2/3
The equivalent fraction for 2/3 is 8/12.
Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
each classroom has 6 rows of 5 desks. how many desks are thre in 45 classrooms?
There are 1,350 desks in 45 classrooms that each have 6 rows of 5 desks.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Each classroom has 6 rows of 5 desks.
So the total number of desks in one classroom.
= 6 rows x 5 desks per row
= 30 desks
To find the total number of desks in 45 classrooms, we can multiply the number of desks in one classroom by the number of classrooms.
= 30 desks per classroom x 45 classrooms
= 1,350 desks
Therefore,
There are 1,350 desks in 45 classrooms that each have 6 rows of 5 desks.
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Im stuck on these questions I need help
Answer:
Step-by-step explanation:
modal weight: the weight that appear most often
4.5 kg appears 3 times
6-sided polygon: even though it is an irregular polygon, the interior angles still add up to (6 - 2)180 = 720
therefore, angle f = 720 - 576 = 144 (the sum of a+b+c+d+e is very blurry in the image, it looks like 576--please double check that!)
modal score: read this right off the graph. The score with the highest frequency is the modal score: 14 (meaning, 9 contestants got this score)
Review the graph of a piecewise function.
The range of the function is the set of all real numbers greater than or equal to -2, because the lowest possible value of the function is -2, which occurs at x = 2.
What is a piecewise function ?
A piecewise function is a function that is defined by different equations on different parts of its domain. The graph of a piecewise function consists of several distinct parts, each corresponding to a different equation.
The graph shown is an example of a piecewise function. The function is defined using different equations on different intervals of the domain.
On the interval from negative infinity to negative 2, the function is defined by the equation y = 2. This means that the value of the function is always 2 on this interval, regardless of the value of x.
On the interval from negative 2 to 2, the function is defined by the equation y = -x. This means that the value of the function is equal to the negative of x on this interval.
On the interval from 2 to positive infinity, the function is defined by the equation y = 2. This means that the value of the function is always 2 on this interval, regardless of the value of x.
At the point x = -2, the function experiences a discontinuity, because the two equations that define it have different values at this point. The function is not differentiable at this point, because it does not have a well-defined tangent line.
The domain of the function is the set of all real numbers, because there are no restrictions on the values of x that are allowed.
Therefore, The range of the function is the set of all real numbers greater than or equal to -2, because the lowest possible value of the function is -2, which occurs at x = 2.
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The ratio of James ' age to Andy's age is 2 : 7. In 8 years' time, the ratio will become
2 : 5, Find James' present age.
Answer: James' age now is 12 years old.
Nathaniel would like to establish a trust fund that will provide R380 000 a year, forever, for his descendants. The trust fund will be invested very conservatively, so the expected rate of return is only 6,45%. How much money must he deposit today, to fund this gift for his descendants?
Answer:
Step-by-step explanation:
To calculate the amount of money Nathaniel needs to deposit today to fund this gift for his descendants, we can use the present value formula for a perpetuity:
Present Value = Annual Payment / Discount Rate
In this case, the annual payment is R380 000 and the discount rate (expected rate of return) is 6.45% in decimals, or 0.0645 as a fraction. So we can plug these values into the formula:
Present Value = R380 000 / 0.0645
This gives us a present value of approximately R5,899,225.68. Therefore, Nathaniel would need to deposit R5,899,225.68 today into the trust fund to provide R380 000 a year forever for his descendants, assuming a 6.45% expected rate of return.
Determine the slope of the line through the points (-1, 8) and (-1, -4). Plot the points on the graph.
The slope for the given point through which it passes through the graph is [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex] = infinity .
What about slope?
The slope of a line is a measure of its steepness. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between the same two points. In other words, it is the rate at which the line rises or falls as we move along it in the horizontal direction.
Define graph:
In mathematics, a graph is a visual representation of a set of data or mathematical relationships between variables. Graphs can be used to display and analyze data in a variety of formats, including line graphs, bar graphs, scatter plots, and pie charts.
According to the given information:
As, we know that the slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
⇒ In which the point given are (-1,8) and (-1,-4)
By putting the value of the given point we have that
⇒ [tex]\frac{-4-(8)}{-1-(-1)}[/tex] = infinity.
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I’m so confused please help me
We can claim that after answering the above question, the As a result, angles the regular polygon has ten sides.
what are angles?An angle is a shape in Euclidean geometry that is made up of two rays, known as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays may combine to generate an angle in the plane in which they are located. An angle is formed when two planes collide. They are known as dihedral angles. In plane geometry, an angle is a potential configuration of two rays or lines that share a termination. The English term "angle" derives from the Latin word "angulus," which means "horn." The vertex is the point at where the two rays, also known as the angle's sides, converge.
The interior angle of a regular polygon with n sides is calculated as follows:
(n-2) * 180° / n = interior angle
The internal angle of the polygon is presented to us as 144°. When we plug this into the formula, we get:
144° = (n - 2) * 180° / n
144° * n = (n - 2) * 180°
144° * n = 180° * n - 360°
144° * n + 360° = 180° * n
360° = 36° * n
n = 10
As a result, the regular polygon has ten sides.
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determine what type of transformation is represented
The type of transformation represented in the figure is the translation transformation i.e. (c) none of these
Identifying the type of transformation representedGiven the triangles ABC and A'B'C'
The transformation between the triangles is translation
The translation transformation is a type of transformation that moves an object without changing its size, shape, or orientation.
This transformation involves sliding an object in a particular direction by a certain distance, either horizontally or vertically.
In this case, the direction is horizontally and vertically
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Given a right triangle with = 60° and the hypotenuse equal to 25 feet, which trigonometric
function would you use to solve for the opposite side?
cosine
secant
sine
tangent
We will use sine function, and length of the opposite side is [tex]\frac{25\sqrt{3}}{2}$[/tex] feet.
Explain about Sine function.To solve for the opposite side of the right triangle, we would use the sine function. In a right triangle, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
In this problem, we are given that one angle of the right triangle is 60 degrees and the hypotenuse is 25 feet. Let's label the opposite side as x and the adjacent side as y. Then we can use the sine function:
[tex]$\sin 60^\circ = \frac{x}{25}$[/tex]
Simplifying the left side, we have:
[tex]$\frac{\sqrt{3}}{2} = \frac{x}{25}$[/tex]
Multiplying both sides by 25, we get:
[tex]$x = \frac{25\sqrt{3}}{2}$[/tex]
Therefore, the length of the opposite side is [tex]\frac{25\sqrt{3}}{2}$[/tex] feet.
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ms walker has 15 kilograms of clay she wants to give 3 students an equal amount of clay what is the mass of the clay that each student will get
Answer: 5kg
Step-by-step explanation:
If Ms. Walker has 15 kilograms of clay that she wants to distribute evenly among 3 students, all you need to do is divide 15 by 3. Doing so, we get:
15 kg / 3 = 5 kg
Therefore, each student will receive 5 kilograms of clay.
The mass of clay that each student will get is 5kg.
Here, the given questions ask for a solution that deals with the concept of the basic principle of division. hence implementing the principle we can see that,
The given total amount of clay by Ms. walker is 15 kilograms(kg).
Furthermore, this total amount of clay needs to be divided equally between the 3 students.
Then, let the mass of clay given to each student equally be denoted by M in the equation to find out the solution can be written as
M = Total amount of clay ÷ Total number of students
Then,
M = 15 ÷ 3
M = 5 kg
Therefore, The mass of clay that each student will get is 5kg.
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13) Two supplementary angles
are represented by 3y +10 and 2y+30 What are the measures of each angle?
Up to 180 degrees
Your Welcome
can you solve this question?
y'=?
The differentiation of the variable y is equal to [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex] for the differential equation.
Given equation: [tex](x^{2} +y^{2} )^{2} = 2xy^{2}[/tex]
differentiate with respect to x
2 [tex](x^{2} + y^{2})[/tex] [ [tex]2x+2y.\frac{dy}{dx}[/tex] ] =[ (1).[tex]y^{2}[/tex] + [tex]x (2y) + \frac{dy}{dx}[/tex] ]
4 [tex](x^{2} + y^{2})[/tex] [ [tex]x+y \frac{dy}{dx}[/tex] ] = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]
4( [tex]x^{3} + x^{2} y \frac{dy}{dx} + xy^{2} + y^{3} \frac{dy}{dx}[/tex] ) = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]
[tex]4x^{3} +4 x^{2} y \frac{dy}{dx} +4 xy^{2} +4 y^{3} \frac{dy}{dx}[/tex] = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]
[tex]4x^{2}y \frac{dy}{dx}[/tex] + [tex]4y^{3}[/tex] [tex]\frac{dy}{dx}[/tex] - [tex]2xy\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex]
[tex](4x^{2}y + 4y^{3} - 2xy )[/tex] [tex]\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex]
[tex]\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex] / [tex](4x^{2}y + 4y^{3} - 2xy )[/tex]
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex]
Hence solved. The differentiation for the given differential equation is done using the technique of implicit differentiation. The differentiation of the variable y is equal to [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex] for the differential equation.
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Need help pleaaasseee
By using chi-squared test, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.
What is chi-squared test?
To perform a chi-squared test for independence between breed and milk yield, we need to set up the hypotheses:
Null hypothesis: There is no association between breed and milk yield.
Alternative hypothesis: There is an association between breed and milk yield.
We will use a significance level of 0.05.
To calculate the expected counts for each cell, we will use the formula: (row total x column total) / grand total.
The observed counts and expected counts are:
The grand total is 100.
The degrees of freedom for the test are (number of rows - 1) x (number of columns - 1) = (2 - 1) x (3 - 1) = 2.
Using a chi-squared distribution table or calculator, we find the critical value for a chi-squared test with 2 degrees of freedom and a 0.05 significance level to be 5.99.
To calculate the test statistic, we use the formula:
chi-squared = [tex]sum((observed\ count - expected\ count)^2 / expected\ count)[/tex]
The calculated value of chi-squared is:
[tex]chi-squared = ((32-25.76)^2 / 25.76) + ((20-19.04)^2 / 19.04) + ((16-13.20)^2 / 13.20) + ((10-16.24)^2 / 16.24) + ((18-18.96)^2 / 18.96) + ((4-4.80)^2 / 4.80) = 10.92[/tex]
The degrees of freedom for the test are 2, and the critical value is 5.99.
Since the calculated value of chi-squared (10.92) is greater than the critical value (5.99), we reject the null hypothesis.
Therefore, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.
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A sphere has a surface area of 60 square feet. Which choice is the best approximation of its radius? Use 3.14 to approximate pi.\
Answer:
Step-by-step explanation:
The surface area of a sphere is given by the formula:
S = 4πr^2
where S is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 60 square feet. Using the formula above, we can solve for the radius:
60 = 4πr^2
Dividing both sides by 4π, we get:
15/π = r^2
Taking the square root of both sides, we get:
r = sqrt(15/π)
Using 3.14 as an approximation for π, we can evaluate this expression:
r ≈ sqrt(15/3.14)
r ≈ 2.20
Therefore, the best approximation for the radius of the sphere is 2.20 feet.
Answer:
Radius is 2.18
Step-by-step explanation:
;)
14. (Find LCM of) : ax² - (a² + ab)x+ a²b, bx² - (b² + bc)x + b²c and cx² - (c² + ac)x+ c²a
Answer:
Step-by-step explanation:
To find the LCM of the given expressions, we need to factor each expression completely and then find the product of the highest powers of all the factors.
ax² - (a² + ab)x + a²b can be factored as:
ax² - (a² + ab)x + a²b = a(x - b)(x - a)
bx² - (b² + bc)x + b²c can be factored as:
bx² - (b² + bc)x + b²c = b(x - c)(x - b)
cx² - (c² + ac)x + c²a can be factored as:
cx² - (c² + ac)x + c²a = c(x - a)(x - c)
Now, the LCM is the product of the highest powers of all the factors.
The highest power of a is a², the highest power of b is b², and the highest power of c is c². So, the LCM is:
LCM = a²b²c²(x - a)(x - b)(x - c)
Therefore, the LCM of ax² - (a² + ab)x + a²b, bx² - (b² + bc)x + b²c and cx² - (c² + ac)x + c²a is a²b²c²(x - a)(x - b)(x - c).
The circumference of a circle is 81.64 miles. What is the circle's radius?
Use 3.14 for л.
The radius of the circle with given circumference is 13.
What is circumference?
In mathematics, the circumference of any shape determines the path or boundary that surrounds it. In other words, the perimeter, also referred to as the circumference, helps determine how lengthy the outline of a shape is.
We are given that the circumference of a circle is 81.64 miles.
We know that circumference of a circle is given by 2πr.
So, using this we get
⇒ C = 2πr
⇒ 81.64 = 2 * 3.14 * r
⇒ 81.64 = 6.28 * r
⇒ r = 13
Hence, the radius of the circle with given circumference is 13.
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What is the measure of ∠m
Answer:
26° 180 -81 - 73 = 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
triangle= 180
81 + 73 = 154
180 - 154= 26
Determine the intercepts of the line.
�
xx-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
�
yy-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, negative ten and three, zero.
The intercepts of the line are:
x-intercept: (3, 0)
y-intercept: (0, 1)
What are the intercepts?
To find the x-intercept, we need to find the point where the line intersects the x-axis. This occurs when the y-coordinate of the point is zero. From the given information, we know that the line passes through the point (3, 0), so this point must be the x-intercept.
Therefore, the x-intercept is (3, 0).
To find the y-intercept, we need to find the point where the line intersects the y-axis. This occurs when the x-coordinate of the point is zero. We can find the equation of the line using the two given points (0, y) and (3, 0):
Slope of the line = (y2 - y1) / (x2 - x1)
= (0 - y) / (3 - 0)
= -y / 3
Using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can write:
y - 0 = (-y/3)(x - 3)
Simplifying this equation, we get:
y = (-y/3)x + 1
Multiplying both sides by 3, we get:
3y = -yx + 3
Adding yx to both sides, we get:
yx + 3y = 3
This is the equation of the line in standard form. To find the y-intercept, we set x = 0:
0 + 3y = 3
Solving for y, we get:
y = 1
Therefore, the y-intercept is (0, 1).
Hence, the intercepts of the line are:
x-intercept: (3, 0)
y-intercept: (0, 1)
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Please help me!!!
Suppose the proportion p of a school’s students who oppose a change to the school’s dress code is 73%. Nicole surveys a random sample of 56 students to find the percent of students who oppose the change. What are the values of p that she is likely to obtain?
Match each expression to its equivalent expression.
Answer: top two goes together, middle left goes to bottom right, bottom left goes to middle right
Step-by-step explanation:
Substitute x for an easy number like 2 and solve.
x - 2/3 - 1/2x = 1/2x - 2/3
x - 1/2 - 3/4x = 1/4x- 1/2
1/3x - 3/4 - 2/3x = -1/3x - 3/4
PLEASE ANSWER ASAP THIS QUESTION IS ALOT OF POINTS
The graph is increasing from 0 minutes to 40 minutes, decreasing from 40 minutes to 80 minutes, and constant from 80 minutes to 200 minutes.
What is increasing?The rate of global warming is increasing. Every year, average global temperatures continue to rise, leading to more extreme weather events and disruptions to the environment. This has been caused by human activities, such as burning fossil fuels, which release carbon dioxide and other greenhouse gases into the atmosphere. These gases trap heat, leading to a rise in temperatures.
The domain of the relation is the set of all time values, ranging from 0 minutes to 200 minutes. The range of the relation is the set of all depth values, ranging from 0 feet to 8 feet.
The graph represents a function because for every value of time, there is exactly one corresponding value of depth.
The graph shows the depth of water in a horse trough over a certain amount of time. The graph starts at 0 feet and increases to a maximum of 8 feet over the first 40 minutes. After 40 minutes, the depth of the water starts to decrease until it reaches a minimum of 2 feet at 80 minutes. After 80 minutes, the depth of the water remains constant at 2 feet until the end of the graph at 200 minutes.
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9.Weights of the NBA’s Top 50 Players Listed are the weights of the NBA’s top 50 players. Construct a grouped frequency distribution and a cumulative frequency distribution with 8 classes. Analyze the results in terms of peaks, extreme values, etc.
Frequency Distribution Table is down below.
Class Count Cumulative Frequency Table
160 - 180 3 3
181 - 201 5 8
202 - 222 14 22
223 - 243 14 36
244 - 264 10 46
265 - 285 2 48
286 - 306 1 49
307 - 327 1 50
Total 50 100
How to explain the distributionHere its peak is in between 202 to 243 frequency range. There are three extreme values that are 270, 295 and 325 pounds weight.
Median lies in the interval 223-243 and mean also lies in that interval. Maximum values lies in between 200 - 225 interval.
The distribution is left skewed.
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Stanley wants to know how many students in his school enjoy watching talk shows on TV. He asks this question to all 24 students in his history class and finds that 55% of his classmates enjoy watching talk shows on TV. He claims that 55% of the school's student population would be expected to enjoy watching talk shows on TV. Is Stanley making a valid inference about his population? (1 point)
a
No, it is not a valid inference because he asked all 24 students in his history class instead of taking a sample from his math class
b
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
c
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
d
Yes, it is a valid inference because he asked all 24 students in his history class
Answer:
B.......................
calculate the total distance that the water tanker has covered in March 2022
The total distance that the water tanker has covered in March of 2022 is given as follows:
1860 kilometers.
What is the relation between velocity, distance and time?Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:
v = d/t.
The parameters for this problem are given as follows:
Velocity of 60 kilometers a day.Time of 31 days, as the month of March has 31 days.Hence the total distance is then obtained as follows:
d = v x t
d = 60 x 31
d = 1860 kilometers.
Missing InformationThe complete question is:
"Assuming that the water tanker travels an average of 60 kilometers a day, calculate the total distance that the water tanker has covered in March 2022".
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
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The point (7,8) in the coordinates plane represents a ratio. Adela claims that you can find an equivalent ratio by adding the same number to both coordinates of the point. Is Adela correct?
Answer:
It depends on the context of the problem and the interpretation of the ratio represented by the point (7, 8).
If we interpret the point (7, 8) as representing the ratio 7:8, then Adela's claim is incorrect. Adding the same number to both coordinates of the point would change the value of the ratio. For example, adding 1 to both coordinates would give the point (8, 9), which represents the ratio 8:9, which is not equivalent to 7:8.
However, if we interpret the point (7, 8) as representing a different type of ratio, such as the ratio of the distances from the point to two fixed points or the ratio of the areas of two shapes, then it may be possible to find an equivalent ratio by adding the same number to both coordinates of the point. In this case, Adela's claim could be correct.
Without more information about the context and interpretation of the ratio represented by the point (7, 8), it is difficult to determine the correctness of Adela's claim.