6.12 it is 9:00 p.m. the time until joe receives his next text message has an exponential distribution with mean 5 minutes. (a) find the probability that he will not receive a text in the next 10 minutes. (b) find the probability that the next text arrives between 9:07 and 9:10 p.m. (c) find the probability that a text arrives before 9:03 p.m. (d) a text has not arrived for 5 minutes. find the probability that none will arrive for 7 minutes.
Answers
So the probability that Joe will not receive a text in the next 10 minutes is approximately 0.865. So the probability that the next text arrives between 9:07 and 9:10 p.m. is approximately 0.149. So the probability that a text arrives before 9:03 p.m. is approximately 0.393. So the probability that no text will arrive for 7 minutes, given that no text has arrived for 5 minutes, is approximately 0.394.
(a) To find the probability that Joe will not receive a text in the next 10 minutes, we can use the cumulative distribution function (CDF) of the exponential distribution. The CDF gives the probability that the time until the next text is less than or equal to a given time t. The CDF of an exponential distribution with mean 5 minutes is:
\(F(t) = 1 - e^{(-t/5)}\)
To find the probability that Joe will not receive a text in the next 10 minutes, we need to find F(10):
\(F(10) = 1 - e^{(-10/5)}\)
\(= 1 - e^{(-2)}\)
≈ 0.865
(b) To find the probability that the next text arrives between 9:07 and 9:10 p.m., we need to find the probability that the time until the next text is between 7 and 10 minutes. We can use the CDF again to find this probability:
P(7 < X < 10) = F(10) - F(7)
\(= (1 - e^{(-10/5)}) - (1 - e^{(-7/5)})\)
\(= e^{(-7/5)} - e^{(-2)}\)
≈ 0.149
(c) To find the probability that a text arrives before 9:03 p.m., we need to find the probability that the time until the next text is less than 3 minutes. We can use the CDF again to find this probability:
P(X < 3) = F(3)
\(= 1 - e^{(-3/5)}\)
≈ 0.393
(d) To find the probability that no text will arrive for 7 minutes, given that no text has arrived for 5 minutes, we can use the memoryless property of the exponential distribution. The memoryless property states that the conditional distribution of the time until the next text, given that no text has arrived in the first 5 minutes, is the same as the original distribution. In other words, the fact that no text has arrived in the first 5 minutes does not affect the probability of a text arriving in the next 7 minutes.
Therefore, the probability that no text will arrive for 7 minutes, given that no text has arrived for 5 minutes, is the same as the probability that no text will arrive for 7 minutes starting from scratch. This is the probability that the time until the next text is greater than 7 minutes. Using the CDF of the exponential distribution, we can calculate:
P(X > 7) = 1 - F(7)
\(= 1 - (1 - e^{(-7/5)})\)
= \(e^{(-7/5)}\)
≈ 0.394
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Related Questions
Please answer the following questions. What is the slope of the line? How much does the distance increase for each hour since Alan crossed the bridge?
Answers
SOLUTION
The slope of the line can be gotten using the formula
\(\begin{gathered} \text{Slope =}\frac{change\text{ in distance}}{\text{change in time }}\text{ = }\frac{d2-d1}{t2-t1} \\ \text{Taking two points on along the line we have } \\ \text{Slope = }\frac{350-100}{7-2} \\ \\ \text{Slope =}\frac{250}{50} \\ \\ \text{Slope = 50} \end{gathered}\)The slope is 50. This means the distance increased by 50 miles for every hour.
A store sells 6 batteries for $4.95. Which deal is a better buy? OA. 2 for $1.80 OB. 4 for $3.99 O C. 8 for $6.99 D. 10 for $7.50
Answers
Answer:
D
Step-by-step explanation:
7.50/10=0.75
0.75*6=4.5
So, you will get 6 batteries for $4.50 which of course is less than $4.95.
Pls help and show how do show it on paper
Answers
Answer:
there is really no way to show but all you have to do is look at the angle across from angle 1 which is angle 4 because it is vertical to angle 1. hope that helps
Michael has $1,082.99 in his checking account. He is going to spend $507 43 on a new television, and he will spend the rest on
speakers that cost $45.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
Answers
Find the vectors t, n, and b at the given point. r(t) = 3 cos t, 3 sin t, 3 ln cos t , (3, 0, 0)
Answers
Here are the vectors **t**, **n**, and **b** at the given point:
* **t** = (-3 sin t, 3 cos t, 0)
* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)
* **b** = (3 cos^2 t, -3 sin^2 t, -3)
The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.
To find the vectors **t**, **n**, and **b**, we can use the following formulas:
```
t(t) = r'(t) / |r'(t)|
n(t) = (t(t) x r(t)) / |t(t) x r(t)|
b(t) = t(t) x n(t)
```
In this case, we have:
```
r(t) = (3 cos t, 3 sin t, 3 ln cos t)
r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)
```
Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.
The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.
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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
= (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
= (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.
The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.
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Given two circles whose radii are 56" and 35", the ratio of their circumferences is?
Answers
Answer: 8 to 5
Step-by-step explanation:
Ratio is referring to the relationship between two things when it is expressed in numbers or amounts. In this case we want to find the smallest amount of one value that equals to another. Think of it as a fraction, you're trying to simplify the numbers to its smallest value. For ratios it's the same but with the extra step that it compares each other.
1) Find the Greatest Common factor between 56 and 35. Answer: 8
2) Divide both 56 and 35 by 8 and your answer should be 8 and 5
3) 8:5 is the the simplest ratio of two circles whose radii are 56:35
Determine the intervals on which the function is decreasing and increasing and then find local minima and maxima. f(x) = (x-2)(x+3) f(x) = (x+1)(x-2)(x+3) f(x) = x e^(-x) f(x) = x^x defined on the interval (0, infinity).
Answers
The intervals on which the function is decreasing and increasing and the local minima and maxima are
a. f(x) = (x-2)(x+3), increasing on the interval (-∞, -1/2) and (1/2, ∞) and decreasing on the interval (-1/2, 1/2). f(x) has a local minimum at x = -1/2 and a local maximum at x = 1/2.
b. f(x) = (x+1)(x-2)(x+3),increasing on the interval (-∞, -1) and (2, ∞) and decreasing on the interval (-1, 2). f(x) has a local maximum at x = -1 and a local minimum at x = 2
c. f(x) = x e⁻ˣ, increasing on the interval (1, ∞) and decreasing on the interval (0, 1). f(x) has a local minimum at x = 1 and doesn't have local maximum or infinite
d. f(x) = xˣ, decreasing on the interval (0, 1/e) and increasing on the interval (1/e, ∞). f(x) has a local maximum at x = 1/e. Note that there is no local minimum for this function.
a) f(x) = (x-2)(x+3)
To determine where the function is increasing or decreasing, we can take the derivative of f(x):
f'(x) = 2x + 1
This derivative is positive for x > -1/2, which means that f(x) is increasing on the interval (-∞, -1/2) and (1/2, ∞). The derivative is negative for x < -1/2, which means that f(x) is decreasing on the interval (-1/2, 1/2). The critical points occur at x = -1/2 and x = 1/2. f(x) has a local minimum at x = -1/2 and a local maximum at x = 1/2.
b) f(x) = (x+1)(x-2)(x+3)
To determine where the function is increasing or decreasing, we can take the derivative of f(x):
f'(x) = 3x² - 6x - 3
This derivative can be factored as f'(x) = 3(x+1)(x-2). The derivative is positive for x > 2 and negative for x < -1, which means that f(x) is increasing on the intervals (-∞, -1) and (2, ∞), and decreasing on the interval (-1, 2). The critical points occur at x = -1 and x = 2. f(x) has a local maximum at x = -1 and a local minimum at x = 2.
c) f(x) = x e⁻ˣ
To determine where the function is increasing or decreasing, we can take the derivative of f(x):
f'(x) = e⁻ˣ - xe⁻ˣ
Setting this derivative equal to zero and solving for x, we get x = 1. Therefore, the function has a critical point at x = 1. We can evaluate the derivative for values of x less than and greater than 1 to determine the intervals on which f(x) is increasing and decreasing.
f'(x) is negative for x < 1 and positive for x > 1, which means that f(x) is decreasing on the interval (0, 1) and increasing on the interval (1, ∞). f(x) has a local minimum at x = 1.
d) f(x) = xˣ
To determine where the function is increasing or decreasing, we can take the derivative of f(x):
f'(x) = xˣ (ln(x) + 1)
Setting this derivative equal to zero and solving for x, we get x = 1/e.
Therefore, the function has a critical point at x = 1/e. We can evaluate the derivative for values of x less than and greater than 1/e to determine the intervals on which f(x) is increasing and decreasing. f'(x) is negative for 0 < x < 1/e and positive for x > 1/e, which means that f(x) is decreasing on the interval (0, 1/e) and increasing on the interval (1/e, ∞).
f(x) has a local maximum at x = 1/e. Note that there is no local minimum for this function.
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plss helpppssss
6 th grade math
Answers
Answer:
Step-by-step explanation:
By the figure, it would mean:
67, 67, 68
72, 72, 73, 76, 76, 77, 78
80, 81, 83, 83, 85, 85, 85, 87, 88
91, 91, 93, 95, 99
a) 2 students
b) 9 students
c) 2 students
Explanation : 5 students (90s) - 3 students (60s) = 2 students
d) 81
Explanation : (67 + 67 + 68 + 72 + 72 + 73 + 76 + 76 + 77 + 78 + 80 + 81 + 83 + 83 + 85 + 85 + 85 + 87 + 88 + 91 + 91 + 93 + 95 + 99) ÷ 24 = 81.33
if x:y = 0.75 : 0.90 and y:z is 1/3 : 1/4. a) simplfly x:y and z:y b) x:y:z
Answers
x:y=0.75:0.90
Here,
Dividing by the value of y=0.90,
x:y=0.75/0.90:0.90/0.90
=5/6:1
Similarly,
y:z=1/3:1/4
Dividing by 1/3,we get,
y:z=1:3/4
Now,
X:y:z=5/6:1:3/4
Multiplying by both value of y,0.90×1/3=3/10
x:y:z=5/6×3/10:1×3/10:3/4×3/10
By solving this,
x:y:z=1/4:3/10:9/40Answer:
Step-by-step explanation:
Ahhhhhh i neeed help
Answers
Answer:
ok hiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Answer:
Option C, No real solutions
Hope this helps!
pleza tell me if this a right i reely needa 100
Answers
Answer:
Yes, all 3 are correct.
Step-by-step explanation:
Answer:no it is not right
Step-by-step explanation:so to get the answer right, you have to add a one as the denominator of the five. Next you have to switch the one and the five to make it a multiplication also called the keep change flip then, you multiply and you are done hope this helps!!!!
ZA = 81 + 74° ZB = 20 = 56 S* VALITATE Solve for x and then find the measure of B:
Answers
Answer: Evaluate! To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.
Step-by-step explanation:
A number is increased by 11 is multiplied by 2 the answer is 26
Answers
Answer:
Number = 2
Step-by-step explanation:
Let the number be x.
According to the question,
Number increased by 11 = x+11Multiplied by 2 is 26 : (x+11)*2 = 26Equation will be,
2(x+11) = 26Solving for x,
2x+22 = 262x = 26-222x = 4x = 4/2x = 2Thus,the number is 2.
3. Given the perimeter of the figure is 76 ft, Find
the dimensions of the shape.
(4x-5) ft
(25-x) ft
(13 + x) ft
T
(3x + 1) ft
Answers
The most appropriate choice for perimeter of a shape will be given by-
UT = 19 ft
ST = 19 ft
RS = 19 ft
UR = 19 ft
What is perimeter of a shape?
Perimeter of a shape is the length of the boundary of the shape.
It is obtained by taking the sum of all the length of the boundary.
Here,
UT = (25 - x) ft
ST = (3x + 1) ft
RS = (13 + x) ft
UR = (4x - 5) ft
Perimeter = UT + ST + RS + UR
= (25 - x + 3x + 1 + 13 + x +4x -5) ft
= (7x + 34) ft
By the problem,
\(7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6\)
UT = \(25 - 6\) = \(19\) ft
ST = \(3 \times 6 + 1\) = \(19\) ft
RS = \(13 + 6 = 19\) ft
UR = \(4\times 6 - 5\) = 19 ft
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A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Answers
Answer: Probability = 90%
Step-by-step explanation:
In a drawer we have:
2 black shirts
7 white shirts
11 gray shirts
If we would randomly pick a shirt, what are the chances of it not being black?
To do that, we first need to calculate the probability of getting a black shirt.
To calculate that, we need to divide the number of black shirts by the total number of shirts.
Black shirts = 2
Total shirts = 2 + 7 + 11 = 20
That will be 2 black shirts divided by 20.
We get 0.1
If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.
Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.
And that will be 90% chances of not getting a black shirt.
Probability = 90%
Hope I Helped!
Help aspp please thank you
Answers
The equation of the line would be y = (-3/4)x + 5.
What is the slope-point form of the line?
For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be
y - y1 = m(x - x1)
The given equation is \(y=-\frac{3}{4}x-17\)
The required line is parallel to the given line.
and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4
And the required line passes through (8, -1)
so by using slope - point form of the line,
y - (-1) = (-3/4)(x - 8)
y + 1 = (-3/4)x - (-3/4)8
y + 1 = (-3/4)x + 24/4
y = (-3/4)x + (12/2 - 1)
y = (-3/4)x + 5
Hence, the equation of the line would be y = (-3/4)x + 5.
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Jaime has 636 blocks. About how many blocks does he have ?
a. 500
B.600
C.700
D.800
Answers
Answer:
B.) 600
Step-by-step explanation:
if you are rounding to the nearest hundred value you would get 600 because the 3 in 638 will round down to 600
it can not be A because it is to far down from the number line
it can not be C or D because they are to far up on the number line
So the correct answer has to be B-600
if the 2nd number is 5 or more you will always round up.
if the 2nd number is 4 or less you will have to round down.
After rounding off Jaime has (B) 600 blocks with him.
What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off. to reduce the number of significant digits in a number to an approximate value. Round off the numbers 15.4 to 15, 15.51 to 15.5 or 16, 0.499 to 0, and 970,000 to 1 million.So, rounding off 636:
We can easily tell that after rounding off, the number of blocks will be:
600Therefore, after rounding off Jaime has (B) 600 blocks with him.
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The correct question is given below:
Jaime has 636 blocks. after rounding off how many blocks does he have?
A. 500
B.600
C.700
D.800
Can someone help me with this Question.
Answers
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
<95141404393>
Fill in the first box to identify each measurement as a DIAMETER, RADIUS, or CIRCUMFERENCE of a circular object.
Then, find the other two measurements for the circle.
Use 3.14 for π. Round to the nearest whole number.
The fence around a circular pool is 75 ft long.
RADIUS =
ft
DIAMETER =
ft
CIRCUMFERENCE =
ft
PLEASE HELP ME!!!!!
Answers
Diameter is 23.88 = 24
Radius is 11.94= 12
In a recent poll, 11% of respondents stated that they were afraid of heights. Suppose that
11% is the true percentage of all Americans who are afraid of heights. Suppose that
responses by different persons are independent events. Round your answers to 4 decimal
places.
What is the probability that three randomly selected Americans will all be afraid of
heights?
I
What is the probability that none of three randomly selected Americans are afraid of
heights?
What is the probability that at least one of three randomly selected Americans is afraid of
heights?
Answers
Given that 11% of respondents stated that they were afraid of heights. Therefore, the probability of any random American being afraid of heights is given by:P(A) = 0.11Where,P(A) = probability of any random American being afraid of heights.I) What is the probability that three randomly selected Americans will all be afraid of heights.
Since the responses by different persons are independent events,Therefore, the probability that three randomly selected Americans will all be afraid of heights can be calculated as follows What is the probability that none of three randomly selected Americans are afraid of heights?Therefore, the probability that none of three randomly selected Americans are afraid of heights can be calculated as follows:
What is the probability that at least one of three randomly selected Americans is afraid of heights?Therefore, the probability that at least one of three randomly selected Americans is afraid of heights can be calculated as follows:P(At least one American is afraid of heights)=1 - P(No American is afraid of heights)=1 - 0.3732= 0.6268 (rounded to 4 decimal places)Hence, the required probability is 0.6268 (rounded to 4 decimal places).
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Shawn took a test in his Psychology class. The test contained 37 multiple-choice questions. Each question was worth 1 point. Shawn answered 31 questions correctly. Express Shawn's test score as a percent. You may round off to the nearest whole number. Show your work.
Answers
Answer:
84%
Step-by-step explanation:
divided and move to the nearest 2 numbers
The number of point a baketball team cored ha 3,4, and 5 a factor. What i the leat number of point the team could have cored
Answers
The least number of point the team could have scored is the LCM of the factors given = 60.
Factor 1 = 3
Factor 2 = 4
Factor 3 = 5
therefore, LCM
= 4 * 5 * 3 [because they don't have any factors in common]
= 60
The positive integers that can divide a number evenly are referred to as factors. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied.
Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.
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3) Complete the function
table below for y = x + 3.
Write the solutions as ordered
pairs.
X
0
2
5
Y
Answers
Answer:
3
5
8
Step-by-step explanation:
if x is 0 then
y= x+3
= 0+3
again x is 2 then
y= 2+3
also x is 5 then
y= 5+3
how many solutions does 12x + 1 = 12x - 10
Answers
Answer:
No solutions
Step-by-step explanation:
First things first we need to get rid of the variables so we subtract -12x from one side to the other.
Now we have 1= -10
In this case, 1 is not equal to -10 so we get no solutions!
(Side note: if they were the same like 3=3 that would be all solutions.)
8th grade algebra question
Answers
Answer:
x-int : 6, y-int : 9
Step-by-step explanation:
Hope this helps :)
Let me know if you want a full explanation
how many significant figures are there in the number 1.032
Answers
There are four significant figures in the number 1.032.
Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:
Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.
Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.
Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.
Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.
By applying these rules, we find that the number 1.032 has four significant figures.
The number 1.032 has four significant figures.
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Which two segments are congruent?
Segments AB and CD
Segments EF and GH
Segments CD and GH
Segments AB and EF
Answers
Answer:
segments AB and EF
Step-by-step explanation:
both are equal 5 units
i took the quiz and got it right :)
Determine whether the point (0,0) is in the solution set of each inequality.
Answers
a) No
b) Yes
1) Let's check algebraically whether (0,0) is the solution set
-2x +3y > 9 Plug into x and y the values of 0,0
-2(0) +3(0) > 9
0 > 9 FALSE! Since 0 can't be greater than 9
1.5x - y ≥ -4 Plug into x and y the values of 0,0
1.5(0) -0 ≥ -4
0 ≥ -4 True
2) Hence, point (0,0) verifies only the second equation.
What is the probability that amber could pull a red 9 out of a deck of cards, replace it, then pull out a black 5?
Answers
Answer:
Try looking it up
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sorry i tried! Dont get mmad i tried the best i could to work this out..
Why was the volume of your fountain smaller than the volume of the ideal sphere? Discuss a more accurate method for approximating the volume of the
spherical slab other than using just cylindrical slabs. Discuss in two to three sentences.
Answers
Yes, the volume of the fountain smaller than the volume of the ideal sphere.
What is the shape of the fountain and sphere?
The fountain shapes contain the cylindrical slabs, and a sphere is a three-dimensional, spherical solid figure in geometry.
Since the cylindrical slabs used for approximation do not exactly suit the sphere's curvature, gaps exist between the slabs and the sphere's surface, causing the volume of the fountain to be less than the volume of the ideal sphere.
Hence, the volume of the fountain smaller than the volume of the ideal sphere.
To learn more about the shape of the fountain and sphere from the given link.
https://brainly.com/question/4185363
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