Height of cylinder = [tex] 19\frac{3}{4} =19.75 [/tex]ft
Diameter of cylinder = [tex] 1\frac{2}{5} [/tex]times its height = [tex] 1.4 * 19.75=27.65 [/tex]ft
Now Radius = half of diameter = [tex] \frac{27.65}{2} =13.825 [/tex]ft
Now we have to find the Volume of cylinder
formula for Volume of cylinder is
Volume of cylinder = [tex] \pi r^2 h [/tex]
let's plug the values
Volume of cylinder = [tex] (3.14)*(13.825)^2 *(19.75) [/tex]
Plug the values in calculator
= 11852.9657 cubic feet
Round off the answer to two decimal places(i.e. hundredth)
= 11852.97 cubic feet
Can someone help me find the value of q? Thanks!
Dianne spends 40% of her net income on rent and 15% of her net income on food. If she spends a total of $1375 per month on rent and food, what is her net monthly income?
A prism with a volume of 270 m³ is dilated by a factor of 3. What is the volume of the dilated prism? Enter your answer in the box.
A prism with a volume of 270 m³ is dilated by a factor of 3. What is the volume of the dilated prism? Enter your answer in the box.
If we dilate each dimension by 3, then the volume of the figure will be dilated by [tex] 3^{3} [/tex] .
[tex] 3^{3} [/tex] =3*3*3 =27
So, the volume of the dilated prism is [tex] 3^{3} [/tex] *volume of original prism
Volume of dilated prism=27*270[tex] m^{3} [/tex]
Volume of dilated prism=7290[tex] m^{3} [/tex]
The volume of a prism when dilated by a factor of 3 increases to 7290 m³,
A prism with a volume of 270 m³ that is dilated by a factor of 3 will have its new volume calculated by cubing the scale factor and multiplying it by the original volume.
Original Volume (V1) = 270 m³
Scale Factor (k) = 3
Dilated Volume (V2) = V1 × k³
So, V2 = 270 m³ × 3³
V2 = 270 m³ × 27
V2 = 7290 m³
Hence, the volume of the dilated prism is 7290 m³.
If 2 more violinists join the orchestra and 1/2 the orchestra are violinists already what fraction of all musicians would play a stringed instrument
X is less than or equal to -8 graphed on a number line
Graphing x \<= -8 involves placing a solid circle at -8 on a number line and shading everything to the left to represent all numbers less than or equal to -8.
To graph x \<= -8 on a number line, you need to include every number that is less than or equal to -8. Start with a number line and locate the point -8 on it. Then, draw a solid circle at -8 to indicate that -8 is included in the solution (because of the '<=' symbol). Next, shade or draw a thick line to the left of -8, going towards the negative direction, to cover all numbers that are less than -8. This shaded area represents all the possible values for x that satisfy the inequality x \<= -8.
Visual Representation on Number Line
A visual representation helps to understand the solutions to the inequality. When graphing, remember that the area to the left of the chosen point on a number line includes all numbers less than the indicated value, and if the circle is solid, that point is also part of the solution set.
The process described here provides a straightforward approach to graphing linear inequalities on a number line, which is a fundamental concept in algebra.
In a video game, Val scored 30\%30%30, percent fewer points than Peeta. Peeta scored 1060 points.
How many points did Val score?
Answer:
3533.33333333
Step-by-step explanation:
Ana walked 13/3 miles write 13/3 as a mixed numder
The nth even number is 2n, the next even number after 2n is 2n+2, explain why.
A community center has an l shaped swimming pool that is 10 feet deep. What is the volume of the pool?
A. 640 cubic feet
B. 880 cubic feet
C. 1200 cubic feet
D. 1040 cubic feet
Answer:
1,040 cubic feet
Step-by-step explanation:
volume = width * length * height
In order to find this split the pool into two separate rectangular prisms.
The first one's measurements are 4ftx16ftx10ft
4*16*10 = 640
the next prism is 4ftx10ftx10ft
4*10*10 = 400
640+400= 1040 cubic feet
Please help ASAP ! I need it buy 11:30 thanks !
what is the area of the trapezoid?
Please help with the question above :)!!! ^^
Managers at a company rate employee's on performance and attitude and find that an employee's attitude depends on their performance. They find a linear relationship and the line of best fit is y = 11.7 + 1.02x. What does 1.02 mean in the context of the problem?
A)That if their attitude rating was 0 the performance rating would be 1.02.
B)That if the performance rating was 0, their attitude rating would be 1.02.
C)That for every point their performance rating goes up their attitude rating improves by 1.02 points.
D)That for every point their attitude rating goes up their performance rating improves by 1.02 points.
The movie theater in town has 4 rooms. Each room has 58 seats on the left side and 32 seats on the right side. Which equation could be used to show the total number of seats in the theater?
A) 52 + 32= ?
B) 4 + 32 + 58= ?
C) (58 + 32) x 4= ?
D) (58 - 32) x 4= ?
Answer:
The right option is (C) (58 + 32)×4
Step-by-step explanation:
Total number of rooms = 4
Number of seats on left = 58 seats in each room
Number of seats on right = 32 seats in each room
Total number of seats in a room = 58 + 32 seats
Total number of seats in the movie theater = Number of rooms × Number of seats in each room
Total number of seats in the movie theater = 4 × (58 + 32) = 360 seats
Hence the right option is (C) (58 + 32)×4
In a distribution, a score of X=60 has a z-score of -3.0.. A score of X=85 has a z-score of 2.0. What are the mean and standard deviation for this population?
Final answer:
By using the z-score formula and solving a system of linear equations, we find that the mean (μ) of the population is 75, and the standard deviation (σ) is 5.
Explanation:
To find the mean (μ) and standard deviation (σ) of the distribution based on the given z-scores, we can use the z-score formula:
z = (X - μ) / σ. Rearranging this formula, we can express X as X = zσ + μ.
For the two provided z-scores and X values:
For X = 60 and z = -3.0: 60 = (-3)σ + μ
For X = 85 and z = 2.0: 85 = (2)σ + μ
We now have a system of linear equations that can be solved to find μ and σ:
-3σ + μ = 60
2σ + μ = 85
Solving for σ and μ:
Multiplying the first equation by 2, and the second equation by 3 and adding them gives us:
(-3)(2)σ + 2μ = 120
(2)(3)σ + 3μ = 255
Adding these together yields 5μ = 375, so μ = 75.
Now, substitute the μ value into either equation to find σ:
-3σ + 75 = 60
σ = (75 - 60) / 3
σ = 5
Therefore, the mean (μ) of the population is 75 and the standard deviation (σ) is 5.
PLEASE NEED HELP
Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.
Secure hike emergency radio 4.0
21,22,24,25,25,25,25,26,27,29,30,30,30,30,33
Streamline radio
25,25,27,28,29,30,30,30,34,36,36,38,39,42
A. 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks, while only 25% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
B. 75% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
C. 100%of x- streamline crank radios ARE LIKELY to play 30 minutes or longer afte
The following six students – Andy, Betty, Chris, Frank, Mark and Mary are standing in line outside of a classroom: Chris, the last one in line, is right behind Andy; Mark is between Mary and Betty; Frank, who is one ahead of Betty, is the first one in line. Where is Mary in the line?
A news reporter wants to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming election. Which statement describes a method that will help him accurately estimate this percentage?
A.) He could contact every resident in the town, ask whether the resident will vote for the particular candidate, and then calculate the percentage of residents who say they will vote for the particular candidate.
B.)He could ask employees at the newspaper which candidate each will vote for, and then calculate the percentage who will vote for the particular candidate.
C.)He could take a random sample of registered voters, and then calculate the percentage of the sample who will vote for the particular candidate.
D.)He could ask his readers to respond to a survey that asks which candidate the reader will vote for and then calculate the percentage of people who say that they will vote for the particular candidate.
A news reporter wants to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming election. Which statement describes a method that will help him accurately estimate this percentage?
Answer: In order to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming election, a news reporter can randomly take a sample from the registered list of voters and based on their opinion a reporter can accurately estimate percentage of registered voters who will vote for a particular candidate in an upcoming election. Therefore, the option C will be correct.
Therefore the correct method is C) He could take a random sample of registered voters, and then calculate the percentage of the sample who will vote for the particular candidate.
The other options to gather the opinion about the percentage of the sample who will vote for the particular candidate are non probabilistic and there is every possibility of introduction of bias in the estimate. The only option which is probabilistic is option c because it involves random selection of respondents. Therefore the appropriate option is c.
Describe two ways to express the edge length of a cube with a volume of 64
The edge length of a cube with a volume of 64 cubic units can be expressed as 4 units, which is the cube root of 64, or algebraically as V⅛ or 64⅛.
Explanation:To express the edge length of a cube with a volume of 64 cubic units, we can use the formula for the volume of a cube, which is V = L³, where V is volume and L is the length of an edge. Since we have the volume (V), we can solve for L (the edge length) by taking the cube root of the volume. Consequently, the cube root of 64 is 4, so one way to express the edge length is simply as 4 units.
Alternatively, we can express the edge length in terms of the formula for volume. If the volume V is a constant 64 cubic units, the edge length can be represented as V⅛, or 64⅛ in this specific case. This second expression emphasizes the relationship between volume and edge length in a cube and is particularly useful in algebraic and geometric applications.
Find these measures for the number of days in the months of a leap year
You have a credit card with a balance of $1,758.64. The interest is 12.75% APR. A late payment fee of $35.00 is added to the principal if you pay after 12/20. You make a payment for $100.00 on 12/20. How much interest did you pay? A. $224.23 B. $18.69 C. $211.48 D. $17.62
A bee with velocity vector
r'(t)
starts out at
(5, −5, −3)
at
t = 0
and flies around for 5 seconds. Where is the bee located at time
t = 5
if
5
0
r'(u)du = 0?
Final answer:
The bee returns to the starting point at (5, -5, -3) after 5 seconds since the integral of its velocity over that period is zero, indicating no net change in position.
Explanation:
To find where the bee is located at time t = 5, we start by looking at the given velocity vector r'(t). Since ∫05r'(u)du = 0, this implies that the integral of the velocity function over the interval from 0 to 5 seconds results in zero net displacement. Thus, the total change in position of the bee over these 5 seconds is zero.
Since the bee starts at the position (5, −5, −3) at t = 0, and there is no net change in position over 5 seconds, the bee must return to the starting point at t = 5. Therefore, the bee is located at (5, −5, −3) at time t = 5 seconds.
How can the Associative Property be used to mentally find 48 +82? i know the answer is 130. don’t answer the expression plz.❗️❗️❗️
melanie's food bill at a restaurant is $28.45, the sales tax rate was 6%. if she added 20$ of the amount before tax as a tip, what was the total cost of the meal
A wall is 4 m by 3 m. Which is the correct unit of measurement to use when figuring out how much paint to buy to cover the wall? A. m B. m3 C. m2
solve by substitution
2y+x=-15
5x=3y
Which statement or statements are TRUE?
I. The data distribution is skewed
II. The interquartile range is 6
III. The median is 10
A) I only
B) II only
C) I and II only
D) II and III only
Answer: A. I only
Step-by-step explanation:
Most of the observations are on the lower end, so the distribution is skewed right. The interquartile range is indicated by the length of the box, about 14. The median is indicated by the vertical line running through the box, about 13
Any number with a non-repeating and non-terminating decimal is an irrational or rational number.
PLEASE HELP MATH MADD POINTS
The rates of change of two data sets can be compared by finding:
A-the initial values.
B-the slope of each trend line.
C-how close the points are to the line.
D-the y-intercepts.
what is the quotient of 4 2/3 divided by 4 1/5 :fraction
Answer:
1 1/9
Step-by-step explanation: