an inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is 13 cm. find the rate at which the water level is rising when the water level is 6 cm.
Answers
The water level is rising at a rate of 135/64 cm per second when the water level is 6 cm.
Let's call the height of the water in the pyramid "h" and the volume of water in the pyramid "V". We know that the rate of change of volume with respect to time is constant and equal to 45 cubic centimeters per second.
We can use similar triangles to find a relationship between the height of the water and the height of the pyramid. Since the pyramid has a square base, all four triangular faces are congruent. Therefore, we can use the fact that the ratio of corresponding sides of similar triangles is constant to find:
h / (13 - h) = 6 / 8
Simplifying this equation, we get:
h = 39 / 7
Now we can find the volume of water in the pyramid when the water level is 6 cm:
V = (1/3) * 8^2 * 6 = 128 cubic cm
To find the rate at which the water level is rising when the water level is 6 cm, we can differentiate the equation for the volume of the pyramid with respect to time:
V = (1/3) * 8^2 * h
dV/dt = (1/3) * 8^2 * dh/dt
We know that dV/dt = 45, so we can plug in the values we know and solve for dh/dt:
45 = (1/3) * 8^2 * dh/dt
dh/dt = 135 / 64
Therefore, the water level is rising at a rate of 135/64 cm per second when the water level is 6 cm.
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Related Questions
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
Answers
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Several students were tested for reaction times in thousandths of a second) using their right and left hands. (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the students are included in the graph to the right. Use a 0.20 significance level to test the claim that there is no difference between the reaction times of the right and left hands. What is the test statistic? t= (Round to three decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill the answer box within your choice. (Round to three decimal places as needed.) O A. The critical value is t= OB. The critical values are t = = What is the conclusion? There enough evidence to warrant rejection of the claim that there is between the reaction times of the right and left hands.
Answers
the calculated test statistic (-0.31) is not greater than the critical value (-2.132 or 2.132), we fail to reject the null hypothesis. Therefore, we do not have enough evidence to conclude that there is a difference between the reaction times of the right and left hands.
To test the claim that there is no difference between the reaction times of the right and left hands, we can use a paired t-test. The null hypothesis is that the mean difference in reaction times between the right and left hands is equal to zero, and the alternative hypothesis is that the mean difference is not equal to zero.
Using the data from the graph, we can calculate the difference in reaction times between the right and left hands for each student, and then calculate the sample mean and standard deviation of these differences. The sample mean difference is -0.04 thousandths of a second, and the sample standard deviation of the differences is 1.46 thousandths of a second.
To calculate the test statistic, we can use the formula:
t = (sample mean difference - hypothesized mean difference) / (sample standard deviation of the differences / square root of sample size)
Since the null hypothesis is that the mean difference is zero, the hypothesized mean difference is 0. Plugging in the values, we get:
t = (-0.04 - 0) / (1.46 / \(\sqrt\)(5)) = -0.31 (rounded to three decimal places)
To identify the critical value(s), we need to look at the t-distribution table with degrees of freedom equal to the sample size minus 1 (5-1=4). Using a 0.20 significance level and a two-tailed test, we find that the critical values are t = ±2.132 (rounded to three decimal places).
Since the calculated test statistic (-0.31) is not greater than the critical value (-2.132 or 2.132), we fail to reject the null hypothesis. Therefore, we do not have enough evidence to conclude that there is a difference between the reaction times of the right and left hands.
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What are the two decisions that you can make from performing a hypothesis test?
Answers
The two decision while performing hypothesis, these are -
Reject the null hypothesisFail to reject the null hypothesis.What is hypothesis?an assertion on a population's makeup. Frequently, a population parameter is used to express it. A statistical hypothesis that is to be tested is known as a null hypothesis.
Alternative hypothesis: A hypothesis that differs from the null hypothesis.
In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.
These claims list certain factors as well as their suggested outcomes. Cavities arise as a result of the variable in this case, which is the sugar intake.
The decisions are -
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Pls Pls help asap! no f links pls n will give brainliest n points?
How could you show
Answers
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Consider ΔKML and ΔRTL, we get
RL/KL =15/(15+9)
= 15/24
= 5/8
TL/ML =12.5/(12.5+7.5)
= 12.5/20
= 5/8
Here, RL/KL=TL/ML
Here, ∠KLM≅∠RLT
By SAS similarity, ΔKML and ΔRTL are similar triangles
So, ∠KMT≅∠RTL
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
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Answer:
a
Step-by-step explanation:
got it right in edmentum
please explain step by step
Assume you had a random sample of 70 graduate students' GRE scores and you calculated a mean of 300 and standard deviation of 45 . Using a confidence level of \( 90 \% \), calculate and interpret the
Answers
If we were to take multiple random samples and calculate their confidence intervals, approximately 90% of those intervals would contain the true population mean GRE score.
To calculate the confidence interval for the mean GRE score, you can use the following formula:
Confidence Interval = sample mean ± (critical value) * (standard deviation / √(sample size))
Step 1: Determine the critical value.
Since the confidence level is 90%, the remaining probability outside the confidence interval is (100% - 90%) = 10%. Since the distribution is assumed to be normal, you can divide this remaining probability equally into both tails, resulting in 5% in each tail.
To find the critical value, you need to find the z-score that corresponds to a cumulative probability of 0.05 in the upper tail. This can be obtained from a standard normal distribution table or using a calculator. The critical value for a 90% confidence level is approximately 1.645.
Step 2: Calculate the confidence interval.
Given:
Sample mean (x) = 300
Standard deviation (σ) = 45
Sample size (n) = 70
Using the formula mentioned earlier, the confidence interval can be calculated as follows:
Confidence Interval = 300 ± (1.645) * (45 / √70)
Calculating the values:
Confidence Interval = 300 ± (1.645) * (45 / √70)
≈ 300 ± (1.645) * (5.39)
The lower bound of the confidence interval is:
300 - (1.645) * (5.39) ≈ 291.33
The upper bound of the confidence interval is:
300 + (1.645) * (5.39) ≈ 308.67
Step 3: Interpret the confidence interval.
The calculated confidence interval for the mean GRE score, based on a sample of 70 graduate students, with a 90% confidence level, is approximately (291.33, 308.67).
Interpretation: We are 90% confident that the true population mean GRE score falls within the range of 291.33 to 308.67. This means that if we were to take multiple random samples and calculate their confidence intervals, approximately 90% of those intervals would contain the true population mean GRE score.
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Which tablo represents a linear function that has a slope of 5 and a y-intercept of 20
0
y
0
20
40
60
8
4
0
4
8
y
0
-20
-40
60
Х
0
20
40
60
y у
4
0
4
8
Answers
Answer:
Table (1)
Step-by-step explanation:
We have to find the table representing a linear function with slope = 5 and y-intercept = 20.
We know y-intercept means value of the function at x = 0,
From all the tables given in picture,
Table (1) shows the value of the function is 20 at x = 0,
So the table (1) should be the answer.
Now we will recheck the answer for the slope = 5
Since slope of a line passing through the two points \((x_1,y_1)\) and \((x_2,y_2)\) is calculated by the formula,
m = \(\frac{y_2-y_1}{x_2-x_1}\)
Therefore, slope of the line passing through (-4, 0) and (0, 20) will be,
m = \(\frac{20-0}{0-(-4)}\)
= 5
Now we are sure that Table (1) is the answer.
A cross-shaped pattern is made by arranging four identical rectangles
around the sides of a square, as shown in the diagram.
The area of the square is 36 cm2.
The area of each rectangle is one and a third times the
area of the square.
Find the perimeter of the cross-shaped pattern.
Show your working and state the units of your answer.
Answers
Answer:
88 cm^2
Step-by-step explanation:
one rectangle = perimeter of 28 and times 4 equals 112 but you have to subtract 24 the perimeter of the square and get your answer
Can u pls give a clear explanation & word it out how u got the answer without using big words. Thank u
Answers
A.
We can rewrite the squared in two ways.
The first way is to rewrite it as a multiplication, this is:
\((y-6)^2=(y-6)(y-6)\)The second way to rewrite the squared is by using the formula for this kind of product:
\((y-6)^2=y^2+2(-6)(y)+(-6)^2\)B.
Once again we can find the final result using each of the options given in part A, for the first option we have:
\(\begin{gathered} (y-6)^2=(y-6)(y-6) \\ =y^2-6y-6y+36 \\ =y^2-12y+36 \end{gathered}\)For the second option we have:
\(\begin{gathered} (y-6)^2=y^2+2(-6)(y)+(-6)^2 \\ =y^2-12y+36 \end{gathered}\)No matter which way we choose the answer for the squared is:
\(y^2-12y+36\)pls help me classify each of this?!
Answers
First image -Right triangle(One angle is 90 degrees)
Second image-Isosceles triangle(Two equal sides and two equal angles).
Sin36°30’ simplify your answer. Type an integer or a decimal. Round to eight decimal places as needed
Answers
60’=1°
30’=x°
X=30’/60’
X=0.5
30’=x°
30’=0.5°
Sin36°30’=Sin(36+0.5)°
=Sin36.5°
Sin36.5=0.59482278675
To eight decimal places
=0.59482279
: Sin 36°30’=0.59482279
A tree measured 18 1/2 feet tall. Over the next 7 1/2 years, it grew to be 63 1/2 feet tall. During the 7 1/2years, what was the average yearly growth rate of the tree?
Answers
Step-by-step explanation:
first subtract how tall is was 7 1/2 years ago from hell with all it is now. 57 - 40.5 = 16.5 or 16 1/2 so and the seven and a half years the tree Grace 16.5 with 16 1/2 seats to get the average yearly growth for the 7 1/2 year. You have to divide 16 and 1/2 ft by 7 and 1/2 Tim Wiles it makes it much easier if you change the fractions to decimals
The quadratic expression x2−2x−35 can be factored into (x+5)(x−7) . Which ordered pairs represent the zeros of this expression’s related quadratic function? Responses (5, 0) and (–7, 0) (5, 0) and (–7, 0) (–5, 0) and (7, 0) (–5, 0) and (7, 0) (0, –5) and (0, 7) (0, –5) and (0, 7) (0, 5) and (0, –7) (0, 5) and (0, –7)
Answers
The zeros of the quadratic expression x² - 2x - 35 are (-5, 0) and (7, 0)
What is an equation?An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.
Given the quadratic expression:
x² - 2x - 35
= x² - 7x + 5x - 35
= x(x - 7) + 5(x - 7)
= (x + 5)(x - 7)
The zeros of the expression is at:
(x + 5)(x - 7) = 0
x + 5 = 0; and x - 7 = 0
x = -5; and x = 7
The zeros are (-5, 0) and (7, 0)
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We traveled coast-to-coast, discovering new destinations and picking the top landmark in every state. Which did we choose for Arizona? 1. The Hoover Dam 2. Antelope Canyon 3. Havasupai Falls 4. Monument Valley
Answers
The correct response is 3. Havasupai Falls. We travelled from coast to coast, finding new places to visit and selecting the best landmark in each state. We decided on Havasupai Falls for Arizona.
Arizona's most well-known and current official moniker, "The Grand Canyon State," honours the state's most recognizable natural landmark, the Grand Canyon. Arizona is frequently referred to as the "Copper State," which indicates how abundant this mineral is there. More than 7.279 million people live in the stunning state of Arizona, which is situated in the southwest region of the country. Arizona is a great area to live and is frequently regarded as one of the best places in the nation to start a new life. It is known as The Grand Canyon State. Discover Arizona's snow in Flagstaff. Snow does fall in Flagstaff. plenty of snow! In its yearly assessment based on the state's Gross Domestic Product (GDP), population, and job growth, the American Legislative Exchange Council's most recent Rich States, Poor States research gave Arizona the highest ratings in the nation.
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Write your own recipe for a mixed berry and yogurt parfait. Remember to include a list of the ingredients, and to clearly describe the process for preparing it.
Answers
Step-by-step explanation:
1st buy greek yogurt granola and fruits of your choice
2nd i put mine in old fashioned ice cream sunday glass
3rd layer it how ever you feel
Answer:
1st Buy Greek yogurt, granola, and fruits of your choice.
2nd Put in old fashioned ice cream Sunday glass
3rd Layer it where ever you like.
Step-by-step explanation:
Hey you there, yeah you, this is a revision on what he put above me. I added commas, periods, and capitals. So please don't hate on me, and have a great day!
I need the measure of angle 1
Answers
Answer:
Angle 1 is 69°
Step-by-step explanation:
9x + 66 = -9x + 156
9x + 9x = 156 - 66
18x = 90
18x/18 = 90/18
x = 5
-9x + 156
-9(5) + 156
-45 + 156
111
180 - 111 = 69.
I need help figuring this question out
Answers
Comment below if you have any questions or want an explanation:
Find an equation for a line parallel to \(3x-4y=12\), with an x-intercept of 6.
Answers
The equation of line parallel to the line 3x - 4y = 12 with an x intercept of 6 is \(y=\frac{3}{4}x-4.5\).
Consider the equation,
3x - 4y = 12
Adding 4y on each side of the equation.
3x = 4y + 12
Subtracting12 from each side of the equation
4y = 3x - 12
Dividing each side of the equation by 4.
\(y=\frac{3}{4}x -3\)
Given this equation, we can see that the gradient of the line is \(\frac{3}{4}\) and we know that parallel lines have the same gradient.
Now that we are aware of the gradient of our solution, we must determine the y-intercept.
Let c represent the y-intercept.
Therefore, (6, 0) is a point on the graph as the x-intercept is 6.
So,
\(y=\frac{3}{4} x+c\)
Using the point ( 6,0)
\(0=\frac{3}{4}(6)+c\)
\(0=\frac{9}{2}+c\)
0 = 4.5 + c
c = - 4.5
Therefore, the equation for a line parallel to 3x - 4y = 12 is \(y=\frac{3}{4}x-4.5\).
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Equation of line parallel to 3x-4y=12 and with an x-intercept of 6 is
3x-4y=18.
Given that the line is parallel to 3x-4y=12 and having x intercept of 6.
We are told to write the equation of the line.
Equation is like a relationship between two variables that are expressed in equal to form.
The equation is 3x-4y=12. We have to first find the slope of this equation.
3x-4y=12
4y=3x-12
y=(3x-12)/4
y=3/4x-12/4
y=3/4x-3
Slope is 3/4.
SInce the line is parallel to 3x-4y=12 so the slopes of line are equal.
X intercept is 6 so the coordinate will be (6,0).
y-0=3/4 (x-6)
y=3/4x-18/4
4y=3x-18
3x-4y=18
Hence equation of line parallel to 3x-4y=12 and with an x-intercept of 6 is 3x-4y=18.
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How hot does it get in Death Valley? The following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures ( ∘
F) were taken from May to November in the vicinity of Furnace Creek. Compute the mean, median, and mode for these ground temperatures. (Round your mean to four decimal places.) 145
184
151
180
167
167
173
180
184
164
180
151
181
143
mean median x
mode
Answers
Approximately 151.7857 is the mean.
The median of the given data is 170.
151 and 180 are the mode.
Death Valley is one of the most popular national parks in the United States. Death Valley is located in the Mojave Desert of California and is one of the hottest places on the planet.
On July 10, 1913, the temperature in Death Valley reached a record high of 134 degrees Fahrenheit. This temperature is considered the highest recorded temperature ever on Earth, and is still being debated by scientists.
What is a median?The median is a mathematical statistic that is used to find the center value of a dataset. The median is calculated by placing all of the values in the dataset in numerical order and then selecting the middle value. If there are an even number of values in the dataset, then the median is the average of the two middle values.
The given data are:
145184151180167167173180184164180151181143
Mean:
To calculate the mean of the given data, we need to add up all the values and divide by the total number of values.
Mean = (145+184+151+180+167+167+173+180+184+164+180+151+181+143)/14
Mean = 2125/14
Mean = 151.7857
Approximately 151.7857 is the mean.
Median:
To calculate the median of the given data, we need to arrange the given data in ascending order.145, 143, 151, 151, 164, 167, 167, 173, 180, 180, 180, 181, 184, 184
Now we have to find out the middle term. As there are even number of terms, the median is the mean of the middle two terms. The middle terms are 167 and 173.
Median = (167+173)/2
Median = 340/2
Median = 170
Therefore, the median of the given data is 170.
Mode:
Mode is the most frequent number in a data set. In the given data set there are two values which are repeated twice which are 151 and 180. So there are two modes, 151 and 180.
Approximately, 151 and 180 are the mode.
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Define Torsion, pure torsion and it's assumptions, torsion
equation and limitation of its formula?
Answers
Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.
Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.
To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.
However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.
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Anyone know how to do this one?
Answers
Answer:
2(c + 7)
Step-by-step explanation:
c is a number
the sum of c and 7 is c + 7
twice the sum of c and 7 is 2(c + 7)
Answer: 2(c + 7)
what is the probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover?
Answers
The probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover is 3/32.
What is the probability?The required probability is determined as follows:
Total number of books = 5 (blue) + 6 (red) + 1 (orange) + 3 (white) + 1 (blue and white) = 16
The total number of books with blue on their cover is 5 + 1 = 6.
The total number of books with white on their cover is 3 + 1 = 4.
The probability of choosing a blue book on the first draw is 6/16.
After replacing the book, the probability of choosing a white book on the second draw is 4/16.
The overall probability of the two independent events is:
Probability = (6/16) * (4/16) = 24/256
Probability = 3/32
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Complete question:
A shelf has books with different-colored covers; 5 are blue, 6 are red, 1 is orange, 3 are white, and 1 is blue and white.
What is the probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover?
?????????????????????
Answers
Answer:
\(\sqrt{x+6}\)
Step-by-step explanation:
So, there are a few things we need to go over to graph a function,
When a number is outside of a root, it changes the y value. For example:
y=\(\sqrt{x}+6\)
With the +6, y will always be 6 higher than normal.
If it was -6, then y will always be 6 lower than normal.
What if the number is inside the root? Well, it works a little differently.
Instead of changing the y value, it changes the x value. For example:
y=\(\sqrt{x+6}\)
So if you put a number in for x, lets say -6, wht would you get?
You would get -6+6=0
The square root of 0 is 0, so when x=-6, y=0
Normally, x would have to equal 0 for the y value to be 0.
So basically, when we see the number isnide of the root, we can think the our x coordinate being subtracted by that number.
This makes since, because if we subtract the +6 from x:
x-(+6)= x-6, and -6 is our x coordinate.
If it was -6 at the start, this would also work:
x-(-6)= x+6. So our x coordinate would start at 6.
Now, lets look at our graph.
As we can see, the x values start at -6, and the y values starts at 0.
This eliminates A and D, since the +6 would change the y value, not the x.
Remember that x-6 would make x a postive 6.
x+6 however, would make x a negative 6.
So we need x+6 in a square root.
This eliminates B, since it has a x-6, making the x coordinate postive 6, not negative 6.
So c is our answer.
Hope this helps!
Ian bought a cup of coffee. At first, he sipped slowly. As it cooled down, he drank more quickly. The last bit was cold, and he dumped it out
Answers
Answer:
ian just wasted the last bit of coffee.
Step-by-step explanation:
The width of a machine part is designed to be 3.59 inches . The manufacturing tolerance is within 0.04 The equation |x-3.59|=0.04 can be used to determine the maximum and minimum value of x , the width of the machine part. Select all viable widths, in inches, for the machine part.
Answers
The possible lengths for the widths of the machine parts is w = 3.63 inches and w = 3.55 inches
Given data ,
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Now , width of a machine part is designed to be 3.59 inches
And , manufacturing tolerance is within 0.04 inches
So , the possible widths of the machine be w
where w = 3.59 ± 0.04
On simplifying , we get
w = 3.63 inches and w = 3.55 inches
Hence , the percentage error is solved
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PLEASE HELP ME!!!! All three friends want to purchase the same gaming system so they can play games together. The list price of the gaming system is 349.99 How much will each friend pay for the gaming system?
Answers
Answer:
116.663333333 repeating
Step-by-step explanation:
do 349.99 divided by 3
Juicy's business Sweet Sauce is profiting at a rate 20,000 dollars per month. The starting balance in Sweet Sauce's account for 2020 was $50,000. How much money will be in Sweet Sauce's account after July 31st? Write an equation for this problem and answer the question. How much money will be in the account after 2 years?
Answers
Answer:
-The equation for this problem is:
y=50,000+20,000x
-The money in Sweet Sauce's account after July 31st is $190,000
-The money in the account after 2 years is $530,000.
Step-by-step explanation:
With the information provided, you can say that the money in the account would be equal to adding up the starting balance plus the profit per month for the number of months that have passed, which is:
y=50,000+20,000x, where:
y is the money in the account
x is the number of months that have passed
Now, to find the amount of money in the account after July 31st, you have to consider that this is the 7th month and you have to replace x with 7:
y=50,000+(20,000*7)
y=50,000+140,000
y=190,000
Also, to find the amount the amount of money in the account after 2 years, you have to consider that 2 years is equal to 24 months:
y=50,000+(20,000*24)
y=50,000+480,000
y=530,000
Pls help will give brainliest!
Answers
i used the coordinates (-1,0) and (3,4) to find the slope 4/4 or 1.
plugged in M and B using the coordinates and got
4=1•3+b
4=3+b
-3 -3
1=b
y=1x+1
hope this makes sense!!
I need help with ANGLES!!!!!!!!!!
Answers
98% sure that's corresponding angles.
Answer:
corresponding angles
Step-by-step explanation:
The box plots show the weights, in pounds, of the dogs in two different animal shelters.One-half of the dogs in each shelter are between which weights?
Answers
One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.
A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.
Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.
If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.
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What does the point (7,84) represent in this situation?
Answers
The point (7,84) represents a precise location on a graph or coordinate plane.
A coordinate is a set of values that specifies the position or location of a point in a geometric space.
The point (7,84) represents a specific location on a graph or coordinate plane. The first number, 7, represents the point's position on the x-axis, which is a horizontal line that runs left to right. The second number, 84, represents the point's position on the y-axis, which is a vertical line that runs up and down. Together, the two numbers give us a precise location for the point.
In this situation, we don't have enough context to know what the point (7,84) represents. It could be the location of a city on a map, the amount of rainfall in inches on a specific day, or the price of a stock at a particular time. However, regardless of the situation, the point (7,84) is simply a specific location in a two-dimensional space that has been identified using coordinates.
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Complete Question:
What does the point (7,84) represent in the graph? And define the explanation for each value.