Answer:
choice 3) area = 1188 in²
Step-by-step explanation:
area = 36 x 33 = 1188 in ²
Find the total surface area.
The total surface area is 640.56 in².
We have,
The TSA (Total Surface Area) of a cone is given by the formula:
TSA = πr² + πrℓ
Now,
We see that,
There are two cones so we find the TSA for both the cones and add them up to get the TSA.
So,
Cone 1:
r = 6 in
l² = r² + h²
l² = 36 + 64
l² = 100
l = 10
So,
TSA = πr² + πrℓ
= 3.14 x 36 + 3.14 x 6 x 10
= 113.04 + 188.4
= 301.44 in²
Cone 2:
r = 6 in
l = 12 in
TSA = πr² + πrℓ
= 3.14 x 6 x 6 + 3.14 x 6 x 12
= 113.04 + 226.08
= 339.12 in²
Now,
Total surface area.
= 301.44 + 339.12
= 640.56 in²
Thus,
The total surface area is 640.56 in².
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ1
Which of the following deschbes the transformation from Figure 1 to Figure 2?
translation 2 units to the left and 1 unit down
translation 2 units to the night and 1 unit down
translation 4 units to the right and 1 unit down
translation 4 units to the left and 1 unit up
Answer:
well we need to see a visual representation of figure 1 and figure 2
Step-by-step explanation:
Show your steps
Multiply and simplify if possible.
(3−√5)(7−√5)
The product of (3 - √5)(7 - √5) simplifies to 26 - 10√5.
To multiply and simplify the expression (3 - √5)(7 - √5), we can use the distributive property of multiplication over addition. Here are the steps:
1. Start by multiplying the first terms in each set of parentheses: 3 * 7 = 21.
2. Then multiply the outer terms: 3 * (-√5) = -3√5.
3. Next, multiply the inner terms: -√5 * 7 = -7√5.
4. Finally, multiply the last terms: -√5 * -√5 = 5.
Now we can combine these terms to simplify the expression:
21 + (-3√5) + (-7√5) + 5
Combine the like terms: 21 + 5 - 3√5 - 7√5
Combine the constants: 21 + 5 = 26.
Combine the radical terms: -3√5 - 7√5 = -10√5.
The final simplified expression is: 26 - 10√5.
for more search question product
https://brainly.com/question/28782029
#SPJ8
katrina wants to estimate the proportion of adult americans who read at least 10 books last year. to do so, she obtains a simple random sample of 100 adult americans and constructs a 95% confidence interval. matthew also wants to estimate the proportion of adult americans who read at least 10 books last year. he obtains a simple random sample of 400 adult americans and constructs a 99% confidence interval. assuming both katrina and matthew obtained the same point estimate, whose estimate will have the smaller margin of error? justify your answer.
With the same point estimate, Matthew's estimate will have a smaller margin of error due to the larger sample size and wider confidence interval.
The margin of error is influenced by the sample size and the chosen confidence level. Generally, a larger sample size leads to a smaller margin of error, and a higher confidence level leads to a larger margin of error.
Matthew's sample size is four times larger than Katrina's sample size (400 vs. 100). Assuming they obtained the same point estimate, Matthew's estimate will have a smaller margin of error compared to Katrina's estimate. This is because a larger sample size allows for more precise estimation and reduces the variability in the estimate.
Additionally, Katrina constructed a 95% confidence interval, while Matthew constructed a 99% confidence interval. A higher confidence level requires a wider interval to capture the true population parameter with a higher degree of certainty. Therefore, Matthew's estimate will have a smaller margin of error compared to Katrina's estimate.
Learn more about point estimate here:
https://brainly.com/question/30888009
#SPJ11
Micah is perparing for a piano recital . He practices for 50 minutes on Monday and 90 minutes on Wendnesday.
Micah increased his practice time by 80%.
What is percent?
A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.
Given:
Micah is preparing for a piano recital .
He practices for 50 minutes on Monday and 90 minutes on Wednesday.
Micah increased his practice time by 40%.
%increase = (Final value - starting value) / |starting value| x 100
= (90 - 50) / |50| x 100
= 40/50 x 100
%increase = 80%
Hence, Micah increased his practice time by 80%.
To know more about percent, click on the link
https://brainly.com/question/24877689
#SPJ1
Complete question:
as in example 2.38, assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it. (a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails? (b) after how many straight tails can we say that with 90% probability the coin i hold is biased? (c) after n straight tails, what is the probability that the next flip is also tails? (d) suppose we have flipped a very large number of times (think number of flips n tending to infinity), and each time gotten tails. what are the chances that the next flip again yields tails?
The probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
Bayes' theorem is a mathematical formula that helps us update our beliefs about the probability of an event occurring based on new information or evidence. It involves the prior probability, which is our initial belief about the probability of an event, and the likelihood of the evidence given that the event has occurred. By combining these two pieces of information, Bayes' theorem allows us to calculate the updated or posterior probability of the event occurring.
After one flip that results in tails, the probability that the coin is a biased coin can be found using Bayes' theorem:
P(biased coin | tails) = P(tails | biased coin) * P(biased coin) / P(tails)
P(tails | biased coin) = 3/5 (given)
P(biased coin) = 0.1 (given)
P(tails) = P(tails | fair coin) * P(fair coin) + P(tails | biased coin) * P(biased coin)
= 1/2 * 0.9 + 3/5 * 0.1
= 0.55
Therefore,
P(biased coin | tails) = (3/5 * 0.1) / 0.55
= 0.109 (approximately)
Thus, the probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
To learn more about Bayes' theorem please click on below link
https://brainly.com/question/28096770
#SPJ4
Assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it.
(a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails?
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many silver and gold medals were won?
50
75
100
120
The number of silver and gold medals won is given as follows:
75.
How to obtain the number of silver and gold medals?The number of silver and gold medals is obtained applying the proportions in the context of this problem.
The percentage equivalent to silver and gold medals is given as follows:
Gold: 20%.Silver: 30%.20 + 30 = 50%.
Hence half the number of medals was either silver or gold, thus the number is given as follows:
0.5 x 150 = 75 meddals.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
When can estimating an angle measure be useful in
solving a problem?
Estimating an angle measure in a problem can be useful when the actual angle measurement cannot be determined
When estimates are usefulEstimates are simply used to approximate and to guess the actual value of a measured quantity
In angles, when the actual measurement is not known, the estimate can be used in place of the actual value
Hence, estimating an angle measure can be useful when the actual angle measurement cannot be determined
Read more about estimation and approximation at:
https://brainly.com/question/6768038
what is $20.00 take away $4.60
a virus is accidentally released from a cdc lab. the virus infects everyone in a 24 mile radius from the cdc lab where it was released. if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected?
If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.
When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.
The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:
The area of a circle with a radius of 24 miles is A = πr²,
which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.
Therefore, the number of people infected is calculated by multiplying the area by the population density:
Residents infected = area x population density
= 1,809.56 x 18.8 ≈ 34,037.
Approximating to the nearest hundred yields 34,000.
For similar question on density.
https://brainly.com/question/1354972
#SPJ11
What is the end behavior of the polynomial
Answer:
As x --> ∞, then y --> - ∞
Step-by-step explanation:
As the value of x increases(as the graph goes right), the graph seems to go down, meaning the y-values are getting more an more negative. This means that as x approached infinity, the y values approach negative infinity ( x --> ∞, y --> - ∞ ).
As the value of x decreases(going to the left), the graph seems to go higher and higher. Therefore, as x approaches negative infinity, the y-value approach infinity. ( x --> - ∞, y --> ∞ )
Out of the options given, the one As x --> ∞, then y --> - ∞ is true.
HELP EXPLAIN THIS TO ME
Answer:
-54 an
Step-by-step explanation:
Answer:
I'm guessing when it says "over the y-axis", it means to reflect it over the y-axis.
In that case, you would graph the points of the triangle, then flip them over the y-axis (change the x-values).
ex. R(-5,3)-R`(5,3)
4x^2+3x+2 and 7x^2+7x+3.
find the sum.
Answer:
11x^2 + 10x + 5
Step-by-step explanation:
(4x^2 + 3x + 2) + (7x^2 + 7x + 3)
=> 4x^2 + 7x^2 + 3x + 7x + 2 + 3 ----> rearranging like terms together.
=> 11x^2 +10x + 5
9) Brenn has $60 in his savings account. His brother Chris has $135 in his. Brenn decides to save $5 of his allowance each week, while Chris decides to spend his whole allowance along with $10 of his savings each week. After how many weeks will Brenn and Chris have the same amount of money in their savings accounts?
Answer:
9) 15
Step-by-step explanation:
Can I get the standard deviation table representations basis some sample data assumptions for the online gaming industry?
Wanted Std deviation presented in tabular format ( actual results ) with assuming some of the online gaming industry sample data.
I can provide you with a table representation of the standard deviation based on assumptions for sample data in the online gaming industry. However, please note that the values presented will be hypothetical and may not reflect actual industry data.
In this hypothetical table, each row represents a specific variable related to the online gaming industry, and the corresponding standard deviation value is provided. The variables included here are player age, game session duration, number of in-game purchases, player engagement score, and monthly revenue.
Learn more about standard deviation here: brainly.com/question/16173140
#SPJ11
Select the three equations that are correct.
A
56 ÷ 7 = 8
B
8 × 4 = 34
C
64 ÷ 9 = 7
D
42 ÷ 7 = 6
E
6 × 9 = 54
Answer:
A
C
D
Step-by-step explanation: Every other answer is wrong
Answer:
A, C,
Step-by-step explanation:
find the total differential of the function w = e y cos(x) z^2 .
To find the total differential of the function w = e^y * cos(x) * z^2, we can take the partial derivatives with respect to each variable (x, y, and z) and multiply them by the corresponding differentials (dx, dy, and dz).
The total differential can be expressed as:
dw = (∂w/∂x) dx + (∂w/∂y) dy + (∂w/∂z) dz
Let's calculate the partial derivatives:
∂w/∂x = \(-e^{y} * sin(x) * z^{2}\)
∂w/∂y = \(e^{y} * cos(x) * z^{2}\)
∂w/∂z = \(2e^{y} *cos (x)* z\)
Now, let's substitute these partial derivatives into the total differential expression:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y}* cos(x) * z^{2} ) dy + 2e^{y} *cos (x)*z) dz\)
Therefore, the total differential of the function w = e^y * cos(x) * z^2 is given by:
\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y} * cos(x) * z^{2} ) dy + ( 2e^{y} * cos(x) * z) dz\)
To know more about total differential refer here:
https://brainly.com/question/31402354?#
#SPJ11
Three friends are on a road trip, and they rent a triple room for a night. When they get to the hotel, they pay the fee of $30 and go up to their room. The porter brings up their bags and refunds them $5 because the hotel is running a weeknight special. The three friends each keep one of the dollars and give the porter a $2 tip. Later, they sit down to work out their expenses for the weekend and find they have a problem.
They each paid $10 for the room and got $1 back each, making their contributions $9. Then they gave the porter a $2 tip. However, 9 times three is 27, plus two is $29. Where did the extra dollar go?
The error in the calculation is in adding up the wrong numbers. The three friends paid a total of $27 for the room ($9 each) and gave the porter a $2 tip, making the total expenses $29. The extra dollar is not missing, but it was never part of the expenses in the first place. The mistake arises from adding up the $27 they paid for the room with the $2 tip they gave the porter, which gives $29. However, this sum includes the $3 they got back from the hotel, which should not be included in the expenses since they received it back.
Another way to think about it is to subtract the $3 they got back from the $30 they paid initially. This gives $27, which is the amount they actually spent on the room. Then, when they added the $2 tip for the porter, the total expenses for the weekend were $29, as expected.
So, the mistake is not in the missing dollar, but in adding up the wrong numbers.
Which inequality does the graph represent?
Answer:
Step-by-step explanation:
-2
Answer:
(-3,-3)
Step-by-step explanation:
I think I think
a + b =c a + b + c = 36 given that a and b have the same value what is a,b and c
Answer:
a = 9 b = 9 c = 18
Step-by-step explanation:
a+b = c
a+ b + c = 36 but we know a+b = c sub that in
c + c = 36
c = 18 now a + b = c and a and b are the same
so a and b are = 9
Answer:
a is 9
b is 9
c is 18
Step-by-step explanation:
Let's list the information provided
a + b =c
a + b + c = 36
a=b
Knowing that a=b we can replace b with a in the equations
a+a is the same as 2a since a is being doubled
2a=c
Knowing this we can replace c with 2a
2a+2a=36
Now solve for a
\(2a+2a=36\\4a=36\\\frac{4a}{4} =\frac{36}{4} \\a=9\)
Now let's sub this value of a into the equations to see what the other values are
a=b
9=b
2a=c
2(9)=c
18=c
TO ANY MATH GEOMETRY GENIUS HELP ME OUT PLS
Answer:
The answer is A
Step-by-step explanation:
since JHG = 65, then the other two angles added together = 65. Therefore, I can just add what the two smaller angles are to equal 65. Solve for x, then plug x into one of the equations! JHI = 19, and GHI = 46
What is the volume of the cylinder? Express the answer in term of x.
On top of the picture says d=8cm
Step-by-step explanation:
d = 8 cm
r = 8 : 2
r = 4 cm
V = πr²h= π × 4 × 4 × 18
= 288π cm³
#CMIIWCan someone please help me
Answer:
(3, 0)
Step-by-step explanation:
So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
3x + y = 9 (keep as is)
x + 2y = 3 --> -3( x + 2y = 3) In this case I chose to make the X the opposite of each other
--
3x - 3x = 0 (forced to get rid of)
y - 6y = -5y (Get the -6 by -3 x 2)
9 - 9 (Get the -9 by -3 x 3)
Left with:
-5y = 0 (Divide both sides by -5 to get X alone)
y = 0
----------------------------------------------------------
(Choose any ORIGINAL equation)
x + 2y = 3
x + 2(0) = 3 (substitute)
Left with:
x = 3 (x + 0 = 3)
-------------------------------------------------------------
Optional:
Chose the other equation (the opposite from above)
Substitute X and Y in 3x + y = 9
3(3) + (0) = 9
Left with: 9 = 9 (check)
Hope this helps!
Help needed!!! Will give 20 points!!!
Answer:
1st answer
Step-by-step explanation:
\(f(g(x)) = f(4x)=(4x)^2-8(4x)+4\\=16x^2-32x+4\)
Naturalists find that the populations of some kinds of predatory animals vary periodically. Assume that the population of foxes in a certain forest varies sinusoidally with time. Records started being kept when time t=0. A minimum number, 200 foxes, occurred when t=2.9 years. The next maximum, 800 foxes, occurred at t=5.1 years. (a) Sketch a graph of this sinusoid. (b) Write an equation, using the sine function, to express the number of foxes as a function of time, t. (c) Predict the population when t=7. (d) Foxes are declared to be an endangered species when their population drops below 300. Between what two non-negative values of t were foxes first endangered?
Answer:
Step-by-step explanation:
(a) To sketch the graph of this sinusoid, we can use the given information. The graph will have peaks and valleys representing the maximum and minimum populations of foxes over time. At t = 0, the population is not specified, so we can start the graph at t = 2.9 years when the minimum number of 200 foxes occurred. At t = 5.1 years, the next maximum of 800 foxes occurred. The graph will be symmetric about the midpoint between these two points.
(b) To write an equation using the sine function, we need to find the amplitude, period, and phase shift of the sinusoid. The amplitude is half the difference between the maximum and minimum values, which is (800 - 200) / 2 = 300. The period is the time it takes for one complete cycle, which is the difference between the times of the two peaks, 5.1 - 2.9 = 2.2 years. The phase shift is the horizontal shift of the graph, which is the time at which the sinusoid starts, t = 2.9 years.
Therefore, the equation expressing the number of foxes as a function of time, t, is:
f(t) = 300 * sin((2π / 2.2) * (t - 2.9))
(c) To predict the population when t = 7 years, we substitute t = 7 into the equation:
f(7) = 300 * sin((2π / 2.2) * (7 - 2.9))
Simplifying the expression will give us the predicted population at t = 7.
(d) To find the values of t when the foxes were first endangered (population drops below 300), we need to determine the points where the sinusoid crosses the line y = 300. By analyzing the graph or solving the equation f(t) = 300, we can find the two non-negative values of t between which the foxes were first endangered.
Learn more about sinusoidal functions and their applications here:
https://brainly.com/question/21008165
#SPJ11
A hiker walks 5 km/hr, how long does it take him to walk 48 km?
Answer:
\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)
Explanation:
\(\sf Time \ taken : \dfrac{Distance}{Speed}\)
Here given:
distance: 48 kmspeed: 5 km/hourApplying formula,
\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)
question is in the picture
Answer:
4th triangle
Step-by-step explanation:
The correct answer for the given problem above would be the fourth triangle. So here is the given solution: Since Triangle 1 is already given with a measurement of 50 inches, and 80% of 50 inches if 40. Triangle 2 then is 40 inches. 80% of 40 is 32, so triangle 3 is 32 inches, and then 80% of 32 is 25.6 inches so triangle 4 is 25.6 inches. Therefore, the triangle that will first have a side length of less than 29 inches is triangle 4.
hope this was helpful :)
HELP ASAP
Find P (Junior|Boy) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 4 8
[?]
Sophomore 5 7 12
Junior 2 3 5
Senior 1
4 5
12 18
Answer:
Step-by-step explanation: 1/6
The Probability of junior boys will be \(\frac{1}{6}\) .
What is Probability ?Probability is the ratio of the number of possible outcomes to the total number of outcomes.
We have,
Total number of boys = 12
Total Junior boys = 2
So,
Probability \(=\frac{number\ of\ possible\ outcomes }{total\ number\ of\ outcomes}\)
So,
P (Junior Boy) \(=\frac{number\ of\ junior\ boys}{total\ number\ of\ boys}\)
So,
P (Junior Boy) \(=\frac{2}{12}\)
i.e.
P (Junior Boy) \(=\frac{1}{6}\)
So,
The Probability of junior boys is \(\frac{1}{6}\) .
Hence, we can say that the Probability of junior boys will be \(\frac{1}{6}\) .
To know more about Probability click here
https://brainly.com/question/23355769
#SPJ2
A carton of grapefruit juice displays the nutritional information shown below. How many grams of sugar are there in a 200 ml glass of juice? Grapefruit juice 250 ml contains Carbohydrate Sugar Protein 19.5 g | 16.5 g | 1.5 g
Answer:
13.2 g
Step-by-step explanation:
let x = grams sugar in a 200 ml glass
16.5 g sugar / 250 ml = x g sugar / 200 ml
x(250) = (16.5)(200)
x = (16.5)(200) / (250) = 3300 / 250 = 13.2
Answer: there are 13.2 g sugar in a 200 ml glass of juice
1 Consider the following system of linear equations:
x + 2y = 2, y − z = 1, 2x + 3y + z = 3
(i) Write the above system of equations as an augmented matrix.
(ii) Reduce the augmented matrix to reduced-row echelon form using appropriate row operations.
(iii) Hence determine if the system is inconsistent, has a unique solution or has infinitely many solutions. In the case that there are infinitely many solutions, express your solution in terms of one or more parameters. If the solution is unique, state the solution explicitly for x, y and z.
(i) The augmented matrix for the given system of linear equations is:
[1 2 0 2]
[0 1 -1 1]
[2 3 1 3]
(ii) To reduce the augmented matrix to reduced-row echelon form, we perform the following row operations:
R2 → R2 + (-1)*R1/2 (subtract half of R1 from R2)
R3 → R3 + (-2)*R1 (subtract twice of R1 from R3)
R3 → R3 + (-3)*R2 (subtract three times of R2 from R3)
R2 → R2/(-1) (divide R2 by -1 to make the leading entry 1)
The resulting reduced-row echelon form is:
[1 0 0 1]
[0 1 0 1]
[0 0 1 0]
(iii) The reduced-row echelon form has a leading 1 in each row and column, which indicates that the system has a unique solution. The solution is:
x = 1, y = 1, z = 0.
For more questions like Matrix click the link below:
https://brainly.com/question/28180105
#SPJ11