The problem involves finding the surface area and volume of a cylinder with a height of 18 ft and a diameter of 11 ft. Using the formulas for a cylinder's surface area and volume, appropriate calculations can be performed to determine the cylinder's surface area and volume.
Explanation:To find the surface area and volume of a given figure, we need to identify the shape of the object. The question does not specify the shape, but the provided formulas suggest that we might be dealing with a cylinder. For a cylinder:
The surface area (A) is calculated as the sum of the areas of the two circular bases (which are π×r² each, where r is the radius) plus the area of the side, which is the circumference of the base multiplied by the height (2π×r×h).The volume (V) is the area of the base (π×r²) multiplied by the height (h).If the cylinder has a height (h) of 18 ft and a diameter of 11 ft (radius is half of the diameter, so r = 5.5 ft), we can calculate its surface area and volume using the following formulas:
A = 2π×r×h + 2π×r²V = π×r²×hPlugging in the values:
A = 2π×5.5×18 + 2π×5.5²V = π×5.5²×18Now, you can substitute π with approximately 3.1416 to find the numeric answers. Remember to use the unit ft² for surface area and ft³ for volume.
Question 11: Please help. What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?
The equation will be in slope-intercept form.
Answer:
Step-by-step explanation:
Assume that you have two distinct and nonvertical lines, ℓ 1 {\ell _1} ℓ1 and ℓ 2 {\ell _2} ℓ2 in Slope-Intercept Form. They are parallel lines if their slopes are equal or the same. They are perpendicular lines if their slopes are opposite reciprocals of each other, or the product of their slopes equals −1.
Answer is y= -1
The equation will be y = -1/3x + 1 in slope-intercept form.
What is the equation of a line?The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
A linear equation is defined as an equation in which the highest power of the variable is always one.
First, we need to determine the slope of the given line.
To do this, we convert the equation to the slope/intercept form:
y − 5 = -1/3(x+2)
y = -1/3x -2/3 + 5
y = -1/3x - 13/3
So the slope of the given line is -13.
The line passes through the point (6,−1)
Now we can use the point-slope form of a line to create the equation of the new line:
(y + 1) = (-1/3) (x - 6)
y = -1/3x + 2 -1
y = -1/3x + 1
Hence, the equation will be y = -1/3x + 1 in slope-intercept form.
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-2x+5c+6c-3x=
Simplify and write the answer.
Answer:
-5x+11c
Step-by-step explanation:
add the alike terms
Paco is trying to win a bear at carnival .The bear cost 30 tickets . Paco paid $5 for $10 tokens to use to play games . So far he's won 15 tickets and used 7 tokens for different games.How many more tickets does he need to win the bear.What unit should accompany the answer to this problem
Answer: 15 tickets
Step-by-step explanation:
given that the cost of the bear = 30 tickets
He has paid $5 for 10 tokens to use to play games . And So far he's won 15 tickets and used 7 tokens for different games. Since he has won 15 tickets, then
He needs to will 30 -15 = 15 tickets
The best unit for the answer is ticket
Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. Refer to Exhibit 5-8. What is the probability that among the students in the sample exactly two are female?
Answer:
P(X=2)=0.04129
Step-by-step explanation:
-This is a binomial probability problem whose function is expressed as;
[tex]P(X=x)={n\choose x}p^x(1-p){n-x}[/tex]
-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:
[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129[/tex]
Hence, the probability of exactly two females is 0.04129
To find the probability that exactly two students are female in a sample of 8 students, we can use the binomial probability formula. The probability is approximately 43.008%.
Explanation:To find the probability that exactly two students are female, we can use the binomial probability formula. The formula is:
P(X = k) = C(n, k) * pk * (1-p)n-k
where:
P(X = k) is the probability that exactly k events occurn is the number of trialsp is the probability of the event occurring in a single trialn-k is the probability of the event not occurring in a single trialIn this case, n = 8, k = 2, and p = 0.6 (since 60% of the students are female). Plugging these values into the formula:
P(X = 2) = C(8, 2) * 0.62 * (1-0.6)8-2
Simplifying:
P(X = 2) = 28 * 0.62 * 0.46
P(X = 2) = 28 * 0.36 * 0.4096
P(X = 2) = 0.43008
Therefore, the probability that exactly two students are female in the sample is approximately 0.43008 or 43.008%.
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A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters to the ocean floor. How far (to the nearest meters) does the diver need to swim along the ocean floor to get the treasure chest?
To find the distance the diver needs to swim along the ocean floor to reach the treasure chest, we can use trigonometry. By using the angle of depression and the depth the diver is lowered, we can calculate the hypotenuse of the right triangle formed, which represents the distance the diver needs to swim. The diver needs to swim approximately 199 meters along the ocean floor to reach the treasure chest.
Explanation:To find the distance the diver needs to swim along the ocean floor, we can use trigonometry. Let's consider the right triangle formed by the diver, the treasure chest, and the ship's sonar. The angle of depression is 12°, and the diver is lowered 40 meters. We need to find the hypotenuse of the triangle, which represents the distance the diver needs to swim.
Using the angle of depression and the opposite side of the triangle (the depth the diver is lowered), we can set up the following trigonometric equation:
tan(12°) = opposite/hypotenuse
Substituting the values:
tan(12°) = 40/hypotenuse
Solving for the hypotenuse, we get:
hypotenuse = 40/tan(12°)
Calculating this value gives us approximately 199.20 meters. Therefore, the diver needs to swim approximately 199 meters along the ocean floor to reach the treasure chest.
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Suppose P(E) = 0.15, P(F) = 0.65, and P(F | E) = 0.82, compute the following:
P(E and F). P(E or F). P(E | F).
Answer:
P(E and F) = 0.123
P(E or F) = 0.677
P(E|F) = 0.189
Step-by-step explanation:
The formula for conditional probability is P(B|A) = P(A and B)/P(A)
The addition rule is P(A or B) = P(A) + P(B) - P(A and B)
∵ P(E) = 0.15
∵ P(F) = 0.65
∵ P(F|E) = 0.82
- Use the first rule above
∵ P(F|E) = P(E and F)/P(E)
- Substitute the values of P(F|E) and P(E) to find P(E and F)
∴ 0.82 = P(E and F)/0.15
- Multiply both sides by 0.15
∴ 0.123 = P(E and F)
- Switch the two sides
∴ P(E and F) = 0.123
Use the second rule to find P(E or F)
∵ P(E or F) = P(E) + P(F) - P(E and F)
∴ P(E or F) = 0.15 + 0.65 - 0.123
∴ P(E or F) = 0.677
Use the first rule to find P(E|F)
∵ P(E|F) = P(F and E)/P(F)
- P(F and E) is the same with P(E and F)
∴ P(E|F) = 0.123/0.65
∴ P(E|F) = 0.189
According to Jax's pedometer, he walked 12.783 miles on Monday, 17.2 miles on
Wednesday and 9.87 miles on Friday. How far did Jax walk on Monday, Wednesday
and Friday?
please help me
39.853
Step-by-step explanation:
He walked 39.853 miles on Monday, Wednesday
and Friday.
29 is 6 more than k.
Solve for k.
Make an equation for k.
Answer:
23
Step-by-step explanation:
29 minus 6 equals 23
Answer:
k = 23
29 = k + 6
Step-by-step explanation:
29 = k + 6
k = 29 - 6
k = 23
What is 7 And what is 8 ?
Answer:
7. 23.7
8. option 2
Step-by-step explanation:
Brainliest?
Helpppp asap PLEASEEE
[tex]89 \: cm, \: \: 749 \: m, \: \: 560 \: dm, \: \: 452 \: km[/tex]
Step-by-step explanation:
The given lengths are written in increasing order as:
[tex]89 \: cm, \: \: 749 \: m, \: \: 560 \: dm, \: \: 452 \: km[/tex]
Which polynomial correctly combines the like term and express the given polynomial in standard form
Answer: c) [tex]3x^4-13y^4+x^3y+9xy^3-8x^2y^2[/tex]
Step-by-step explanation:
[tex]9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4[/tex]
Let's rearrange from the 4th power to 1.
[tex]3x^4-4y^4-9y^4+x^3y+9xy^3-10x^2y^2+2x^2y^2[/tex]
Combine like terms (check if they have the same variable raised to the same power.
[tex]3x^4+(-4y^4-9y^4)+x^3y+9xy^3+(-10x^2y^2+2x^2y^2)[/tex]
[tex]3x^4+(-13y^4)+x^3y+9xy^3+(-8x^2y^2)[/tex]
[tex]3x^4-13y^4+x^3y+9xy^3-8x^2y^2[/tex]
A line has a slope of Negative one-half and a y-intercept of –2.
Answer:
If you are asking for the equation, it is y= -(1/2)x -2
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard deviation of 3.5 years. The winner in one recent year was 23 years old.
(a) Transform the age to a z-score.
(b) Interpret the results.
(c) Determine whether the age is unusual.
Part(a): The value of the Z-score is -1.2
Part(b): The age of the winner is -1.2 standard deviation from the mean.
Part(c): Yes, the age is unusual.
Given,
[tex]\mu =27.2\\\sigma = 3.5[/tex]
Winner age, X = 23
Part(a):
The formula for the Z-score is,
[tex]Z=\frac{x-\mu }{\sigma } \\=\frac{23-27.2}{3.5}\\=-1.2[/tex]
Part(b): The age of the winner is -1.2 standard deviation from the mean which is equal to its Z-score value.
Part(c): Yes, the age is unusual.
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To calculate the z-score, subtract the mean age from the winner's age and divide by the standard deviation, resulting in -1.2. This indicates the winner is 1.2 standard deviations younger than the mean age. Since the z-score is not beyond -2, the age is not considered unusual.
The question requires us to calculate a z-score and interpret the results regarding a recent cycling tournament winner's age in context of a normal distribution.
Calculating the z-score
To calculate the z-score:
Subtract the mean age from the winner's age.
Divide by the standard deviation.
In our case:
The winner's age = 23 years
The mean age = 27.2 years
The standard deviation = 3.5 years
Thus, z = (23 - 27.2) / 3.5 = -1.2
Interpretation
This z-score means the winner's age was 1.2 standard deviations to the left of the mean. In other words, the winner is younger than the average.
Determining Unusual Age
If we consider ages that lie more than 2 standard deviations from the mean as unusual (which corresponds to roughly the outer 5% of data in a normal distribution), then a z-score of -1.2 does not qualify as unusual, since it is not beyond the 2 standard deviation threshold.
Todd wants to paint a design on the wood along the diagonal shown. If each tile is 15 centimeters on each side, what is the length of the diagonal shown?
Answer:
130 centimeters
Completed question;
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.
Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?
A. 182 centimeters
B. 169 centimeters
C. 130 centimeters
D. 91 centimeters
Step-by-step explanation:
To determine the length of diagonal, we have to first find the length of each side;
According to the attached image;
The length consist of 8 tiles
And breadth consist of 6 tiles
Length per tile = 13 centimeters
Length = 8 × 13 = 104 centimeters
Breadth = 6×13 = 78 centimeters
Using Pythagoras theorem;
diagonal length d = √(104^2 + 78^2)
d = 130 centimeters
There are two traffic lights on Broadway. The probability of being stopped at the first light is
40%. The probability of being stopped at the second light is 70%.
Answer:
Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.
There are three possibilities we need to consider:
Being stopped at both lights
Being stopped at neither light
Being stopped at exactly one light
The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.
Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28
The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18
The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.
Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for the plane is in simplified form.
Answer:
Required equation of tangent plane is [tex]z=\frac{6}{5}(x-5y-11)[/tex].
Step-by-step explanation:
Given surface function is,
[tex]f(x,y)=6-\frac{6}{5}(x-y)[/tex]
To find tangent plane at the point (5,-1,1).
We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,
[tex]z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)[/tex]
So that,
[tex]f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}[/tex]
[tex]f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}[/tex]
[tex]f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6[/tex]
Substitute all these values in (1) we get,
[tex]z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}[/tex]
[tex]\therefore z=\frac{6}{5}(x-5y-11)[/tex]
Which is the required euation of tangent plane.
A class of 28 students can complete 896 math problems in one day how many problems does each student complete
Answer:
32
Step-by-step explanation:
Assuming they all complete it at the same rate,
896/28 = 32
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 6 feet per second. The elevator for the miners descends 16 feet per second. One day, the equipment elevator begins to descend. After 20 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 17 seconds? At that time, which elevator is deeper?
A bowling-ball maker starts with an 8.5-inch-diameter resin sphere and drills 3 cylindrical finger holes in it. Each hole is 1 inch in diameter and 3.5 inches deep. Which is the best estimate of the volume of resin in the finished ball?
Answer:
313.3084 in3
Step-by-step explanation:
To find the final volume of the finished ball, we need to find the volume of the whole sphere and then decrease it by the volume of the three holes.
The volume of the sphere is given by this formula:
V = (4/3)*pi*r^3
Where r is the radius. In our case, the radius is 8.5 / 2 = 4.25 in, so the volume is:
V1 = (4/3)*pi*4.25^3 = 321.5551 in3
The volume of each cilindrical hole can be calculated as:
V = pi*r^2*h
Where r is the radius and h is the height. We have that the radius is 1/2 = 0.5 inches and the height is 3.5 inches, so:
V2 = pi*0.5^2*3.5 = 2.7489 in3
So the final volume is:
V = V1 - 3*V2 = 321.5551 - 3*2.7489 = 313.3084 in3
Answer:
313.313inches³
Step-by-step explanation:
A bowling ball is spherical in shape hence,
The Formula used to calculate the volume of sphere is
= 4/3 πr³
For the question, we were given diameter.
Diameter of the bowling ball = 8.5 inches
Radius = Diameter ÷ 2
Radius = 8.5 inches ÷ 2
Radius = 4.25 inches
Hence,
Volume of a Sphere =
4/3πr³
= 4/3 × π ÷ 4.25
= 321.55509806inches³
Approximately = 321.56inches³
From the question we can see that the bowling ball has 3 cylindrical holes in it
With a diameter of 1 inch and a depth of 3.5inches
Hence we find the volume of these holes
Volume of a cylinder = πr²h
Diameter = 1 inch,
Radius = Diameter /2 = 1/2 inches
Height(Depth) = 3.5 inches
Volume of the cylindrical holes = π ×(1/2) ² × 3.5
Volumes = 2.749inches³
Since we have 3 holes ,
Volumes of the 3 holes = 2.749inches³ × 3
= 8.247inches³
The Volume of the total Spherical bowling ball
= Volume of the total bowling ball without holes - Volume of the cylindrical holes on the bowling ball
= 321.56inches³ - 8.247inches³
= 313.313inches³
Hence, the best estimate of the volume of resin in the finished ball = 313.313inches³
jen buys 4 tires for $272. what is the cost of 1 tire?
Answer:
68
Step-by-step explanation:
Take the cost of all 4 tiers and divide by 4
272/4 =68
The cost of 1 tire is 68
The parent function y = 0.5x is blank across its domain because its base, b, is such that blank
Answer: decreasing; 0 < b < 1
Step-by-step explanation: I got this question on edge
Answer:
Decreasing/ 0<b<1
Thank me later ;)
Amul is trying to find the volume of the cylinder. What
was Amul's error?
Amul should have squared pi.
Amul should not have multiplied by pi.
Amul should have squared the radius, not the
height
Amul did not make an error.
Answer:
c its the right answer
Step-by-step explanation: i just took it and got it right
Answer:
its C!!
Step-by-step explanation:
solve the equation!
5(n-2)=45
what is n?
Answer:
The answer is n = 11
Explanation:
Divide both sides by 5
Move the constant to the right
Then add the numbers.
Answer:
n is 11
Step-by-step explanation:
because when you work backwards 45 divided by 5 is 9 so then 9 + 2 is 11 and that is N
What 4 numbers adding give you a sum of 15
Answer: 6 and 9, 7 and 8. 69, 78, 87, 96. So, there are only 4 combinations which would result in 15.
Step-by-step explanation:
Therefore the average sum of three numbers is 45:3=15. The number 15 is called the magic number of the 3x3 square. You can also achieve 15, if you add the middle number 5 three times. The odd numbers 1,3,7, and 9 occur twice in the reductions, the even numbers 2,4,6,8 three times and the number 5 once.
9+1+3+2= 15
Hope this helps you:)
f(x) = 4x + 3x
g(x) = 2x-5
Find (f + g)(x).
Answer:
x=-1
Step-by-step explanation:
4x+3x=2x-5
7x=2x-5
7x-2x=2x-5-2x
5x=-5
Answer:
[tex]14x-35[/tex]
[tex]\mathrm{Please\:vote\:me\:Brainliest\:if\:this\:helped!}[/tex]
Step-by-step explanation:
[tex]F=4x+3x,\:g=2x-5,\:F\left(x\right)\:\circ \:g\left(x\right):\quad 14x-35[/tex]
[tex]\mathrm{For}\:F=4x+3x\:\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=2x-5[/tex]
[tex]=4\left(2x-5\right)+3\left(2x-5\right)[/tex]
[tex]\mathrm{Expand}\:4\left(2x-5\right)+3\left(2x-5\right):\quad 14x-35[/tex]
[tex]4\left(2x-5\right)+3\left(2x-5\right)[/tex][tex]\mathrm{Add\:similar\:elements:}\:4\left(2x-5\right)+3\left(2x-5\right)=7\left(2x-5\right)[/tex][tex]=7\left(2x-5\right)[/tex][tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac[/tex][tex]a=7,\:b=2x,\:c=5[/tex][tex]=7\cdot \:2x-7\cdot \:5[/tex]d[tex]\mathrm{Simplify}\:7\cdot \:2x-7\cdot \:5:\quad 14x-35[/tex]
[tex]7\cdot \:2x-7\cdot \:5[/tex][tex]\mathrm{Multiply\:the\:numbers:}\:7\cdot \:2=14[/tex][tex]=14x-7\cdot \:5[/tex][tex]\mathrm{Multiply\:the\:numbers:}\:7\cdot \:5=35[/tex][tex]=14x-35[/tex][tex]\mathrm{Therefore,\:the\:answer\:is\:14x-35}[/tex]
MARK USES 3/8 OF a box he uses to make enough to make enough for one person. Write and solve an equation to find p, how much of the box for 2 people. Use a drawing as needed.
Answer:
p = x * (3/8)
Where p is the amount of a box and x is the number of people.
For x=2 -> p = 2 * (3/8) = 3/4
Step-by-step explanation:
If Mark uses 3/8 of a box to make enough for one person, we can find the amount required (p) to be enough for 'x' people using a rule of three:
3/8 of a box -> 1 person
p -> 'x' people
(3/8)/p = 1/x
p/(3/8) = x
p = x * (3/8)
If we want the amount for 2 people, we use x = 2 in the equation:
p = 2 * (3/8) = 3/4
So Mark will need 3/4 of a box.
If M(-2,8) is reflected in the y-axis what are the coordinates of M , the image M
Answer:
If it was reflected over the y-axis, the x variable would be inverted, causing the coords to be M(2,8)
Chris Paul is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 88\%88%88, percent of the time. What is the probability of Chris Paul making all of his next 9 free throw attempts?
Answer:
.88^9
Step-by-step explanation:
this is the only right answer on khan
The required probability of Chris Paul making all of his next 9 free throw attempts is 0.31
Given that,
Chris Paul is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 88\%88%88, percent of the time. The probability of Chris Paul making all of his next 9 free throw attempts is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
According to the question,
Probability is given as,
P = [0.88]⁹
P = 0.31
Thus, the required probability of Chris Paul making all of his next 9 free throw attempts is 0.31
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100 points and brainliest
Which statement best describes the faces that make up the total surface area of this composite solid? A triangular prism on top of a rectangular prism. 9 faces, 5 rectangles, and 4 triangles 9 faces, 7 rectangles, and 2 triangles 11 faces, 7 rectangles, and 4 triangles 11 faces, 9 rectangles, and 2 triangles
Answer:
Step-by-step explanation:
1: SA = bh + (s1 + s2 + s3)H
2: A = lw
3: A = lw
Answer:
The answer is B) 9 faces, 7 rectangles, and 2 triangles
Step-by-step explanation:
It costs $ 2 to rent a video for 1 day Each extra day costs $ 1 more . Nan rents a video for 4 days . How much will it cost?
Answer:
14$
2+3+4+5=14