18/24 greater than or less than 55%
Answers
75% is greater than 55%
Answer:
I think 55°% is less
Related Questions
if a sample size of 16 yields an average of 12 and a standard deviation of 3, estimate the 95% ci for the mean. a. [10.4, 13.6] b. [10.45, 13.55] c. [10.53, 13.47] d. [10.77, 13.23]
Answers
The estimated 95% confidence interval for the mean is [10.4, 13.6], making answer choice (a) correct.
To estimate the 95% confidence interval for the mean, we can use the formula
CI = X ± t(α/2, n-1) * (s/√n)
where X is the sample mean, s is the sample standard deviation, n is the sample size, t(α/2, n-1) is the t-value for the given confidence level and degrees of freedom, and α is the significance level (1 - confidence level).
For a 95% confidence interval with 15 degrees of freedom (n-1), the t-value is approximately 2.131.
Plugging in the values, we get
CI = 12 ± 2.131 * (3/√16)
CI = 12 ± 1.598
CI = [10.402, 13.598]
Therefore, the closest answer choice is (a) [10.4, 13.6].
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how do you find LCM of 5 and 35
Answers
Answer:
LCM is 35
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Answer:
The answer would be 35
Step-by-step explanation:
The answer would be 35 because 35 is the least Common Multiple of 35 and 5
For the curve (x^2+y^2)^3−8x^2y^2=0 find an equation of the tangent line at (1,−1)
Answers
Answer:
x - y = 2
Step-by-step explanation:
You want an equation for the tangent to (x^2+y^2)^3−8x^2y^2=0 at the point (x, y) = (1, -1).
InspectionA graph of the curve shows it has a slope of +1 at (x, y) = (1, -1).
In point-slope form the equation of the line is ...
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
y -(-1) = 1(x -1) . . . . . . substituting known values
x - y = 2 . . . . . . . . rearranging to standard form
__
Additional comment
Differentiating implicitly, you get ...
3(x^2 +y^2)^2(2x·dx +2y·dy) -16xy^2·dx -16x^2y·dy = 0
at (1, -1), this is ...
3(1 +1)^2(2·dx -2·dy) -16·dx +16·dy = 0
8dx -8dy = 0 . . . . simplified
dy/dx = 1
Then we can proceed with the point-slope equation as above.
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Have to find x,y and z
Answers
Answer:
x=2, y=5
Step-by-step explanation:
the triangle that x is in is a right triangle (don't remember the theorem sorry)
use pythagorean theorem (a^2 + b^2 = c^2)
x is the hypotenuse(c)
1 squared plus /3 squared =c squared
1+3= c squared
4= c squared
c=2
x=2
find y using pythagorean theorem as well
/12 squared plus 2 squared = y squared
y is the hypotenuse
12+4=y squared
16= y squared
4=y
add one to account for that extra little piece
y=5
... I don't see z
Answer:
y= if it is the hypoteneuse for the whole triangle it √16 or 4, if it is the side of the smaller triangle it is 3
x=√4 which is 2
z= I don't think ther's a z
minz=(y−x)
2
+xy+2x+3y
s.t.
x+y=10
3x+y≥16
−x−3y≤−20
x≥0
y≥0
a. Solve the upper NL problem using the Kuhn-Tucker Conditions. b. Solve the problem using GAMS.
Answers
a) To solve the upper nonlinear problem using the Kuhn-Tucker conditions, we apply the necessary conditions for optimality, which involve Lagrange multipliers and inequality constraints. b)To solve the problem using GAMS, code needs to be written that represents the objective function and constraints.
To solve the upper nonlinear problem using the Kuhn-Tucker conditions, we apply the necessary conditions for optimality, which involve Lagrange multipliers and inequality constraints. The Kuhn-Tucker conditions are a set of necessary conditions that must be satisfied for a point to be a local optimum of a constrained optimization problem. These conditions involve the gradient of the objective function, the gradients of the inequality constraints, and the values of the Lagrange multipliers associated with the constraints.
In this case, the objective function is given as minz = (y-x)^2 + xy + 2x + 3y, and we have several constraints: x + y = 103, x + y ≥ 16, -x - 3y ≤ -20, x ≥ 0, and y ≥ 0. By using the Kuhn-Tucker conditions, we can set up a system of equations involving the gradients and the Lagrange multipliers, and then solve it to find the optimal values of x and y that minimize the objective function while satisfying the constraints. This method allows us to incorporate both equality and inequality constraints into the optimization problem.
Regarding the second part of the question, to solve the problem using GAMS (General Algebraic Modeling System), GAMS code needs to be written that represents the objective function and constraints. GAMS is a high-level modeling language and optimization solver that allows for efficient modeling and solution of mathematical optimization problems. By inputting the objective function and the constraints into GAMS, the software will solve the problem and provide the optimal values of x and y that minimize the objective function while satisfying the given constraints. GAMS provides a convenient and efficient way to solve complex optimization problems using a variety of optimization algorithms and techniques.
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Mrs. Jaminez would like
to enlarge a family
picture. The original
picture has a ratio of
length to height of 6:4.
If the new picture is 16
inches high, then how
long is the picture?
Answers
Answer:
24
Step-by-step explanation:
6:4 enlarges to ?:166*4=24
An
Step-by-step explanation:
questions
5 cm
,5 cm
5 cm
- Apply What is the surface area to volume
ratio of this cube?
Answers
Answer:
idk sorry ion see a cube .
Step-by-step explanation:
Suppose that people check their coats in a checkroom. if all claim checks are lost and the coats are randomly returned, what is the probability that all the people will get their own coats back?
Answers
The probability that all the people will get their own coats back is 1/7.
What is probability?Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates sureness. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A basic model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly plausible; the likelihood of "heads" rises to the likelihood of "tails"; and since no different results are conceivable, the likelihood of all things considered "heads" or "tails" is 1/2.
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Please help answerr
A statue two metres high has a volume of five cubic metres.
A similar model of the statue has a height of four centimetres.
(a) Calculate the volume of the model statue in cubic centimetres.
Answers
To find the volume of the model statue, we need to use the concept of similarity. Since the model is similar to the original statue, we know that the ratio of their heights is the same as the ratio of their volumes.
Ratio of heights:
2 meters : 4 centimeters = 200 centimeters : 4 centimeters = 50 : 1
Ratio of volumes:
5 cubic meters : x cubic centimeters
Using the ratio of heights, we can write:
50 : 1 = 5 cubic meters : x cubic centimeters
Simplifying this proportion:
50x = 5 cubic meters x 1000000 cubic centimeters/cubic meter
x = (5 cubic meters x 1000000 cubic centimeters/cubic meter)/50
x = 100000 cubic centimeters
Therefore, the volume of the model statue is 100000 cubic centimeters.
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The angle of depression of a boat from three quarters of a vertical pole is 35º. If the boat is 120 m from the foot of the pole, calculate the height of the pole.
Answers
Answer:
112 m
Step-by-step explanation:
The angle of depression from the pole position is the same as the angle of elevation from the boat position. So, the problem statement gives us an angle and horizontal and vertical legs of a right triangle. The relation between them is given by the tangent function.
Tan = Opposite/Adjacent
If we let (3/4h) represent the length of the side opposite the given angle, and 120 m the side adjacent, we have ...
tan(35°) = (3/4h)/(120 m)
Multiplying by the inverse of the coefficient of h, we get ...
h = (160 m)tan(35°) ≈ 112 m
The height of the pole is about 112 meters.
Write each polynomial function in standard form. Then classify it by degree and by number of terms and describe its end behavior.
y=(t-2)(t+1)(t+1)
Answers
The end behavior of the polynomial y = (t - 2)(t + 1)(t + 1) is that it increases without bound as t approaches positive infinity and decreases without bound as t approaches negative infinity.
To write the polynomial function y = (t - 2)(t + 1)(t + 1) in standard form, we need to expand and simplify it.
Multiplying the factors together, we get:
y = (t - 2)(t + 1)(t + 1)
= (t^2 - t + t - 2)(t + 1)
= (t^2 - 2)(t + 1)
= t^3 + t^2 - 2t + t^2 - 2
= t^3 + 2t^2 - 2t - 2
Now, let's classify the polynomial by degree and number of terms:
Degree: The highest power of t in the polynomial is t^3, so the degree of the polynomial is 3.
Number of terms: The polynomial has four terms: t^3, 2t^2, -2t, and -2.
Next, let's describe the end behavior of the polynomial:
As t approaches positive infinity (∞), the term with the highest power, t^3, dominates the polynomial. Since the coefficient of t^3 is positive (+1), the end behavior of the polynomial is that it increases without bound.
Similarly, as t approaches negative infinity (-∞), the term with the highest power, t^3, dominates the polynomial. Again, since the coefficient of t^3 is positive (+1), the end behavior of the polynomial is that it decreases without bound.
Therefore, the end behavior of the polynomial y = (t - 2)(t + 1)(t + 1) is that it increases without bound as t approaches positive infinity and decreases without bound as t approaches negative infinity.
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Nathan buys 9 items that cost b dollars each. She gives the cashier $100 dollars. Write
an expression for the change she should receive.
Answers
An expression for the change she will receive is 8b - 100 = 100
What is an expression?You should be aware that an expression in math is a sentence with a minimum of two numbers or variables and at least one math operation
The given parameters are
Nathan buys 9 items
She gives the cashier $100
The expression 8(b) -100 = 100%
Where 100 is the full amount payable
Therefore, the expression becomes 8b -100=100
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Mary makes two blueberry pies
in two pie pans that are 6" in
diameter. What is the total area of
Mary's two pies?
Answers
Answer:
56.54862 in^2
Step-by-step explanation:
area = pi*radius^2
radius = 1/2 diameter
pi=3.14159.....
a=pi*3^2
a=3.14159*9
a=28.27431
two pies=56.54862
Instructions: Find the length of the missing side.
Please help explain how I do this!! I will give you a Brainliest!!!!
Answers
Answer:
side AB = \(9\sqrt{2}\)
hypotenuse CB = 18
Step-by-step explanation:
with a 45-45-90 triangle, we know that the two legs (AC and AB in this picture) are the same length, so if AC is \(9\sqrt{2}\) , then AB would have to be the same so therefore it would also be \(9\sqrt{2}\). We also know that the length of the hypotenuse (CB) is the length of the leg times \(\sqrt{2}\). So, it would be \((9\sqrt{2} ) *\sqrt{2}\), which is the same as saying \(9*(\sqrt{2}) * (\sqrt{2} )\). Doing \((\sqrt{2}) * (\sqrt{2} )\) would cancel out the square roots, leaving you with just 2, so you get 9*2, which is 18.
A school chorus has 80 sixth-grade students and 66 seventh-grade students. The music director wants to make groups of performers with the same combination of sixth- and seventh- grade students in each group. She wants to form as many group as possible. If that many groups are formed, how many students of each grade level would be in each group?
Answers
Answer:
The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:
Find GCF(90,75):
Now,
Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
hope i helped!
Please help me!!!!!!!!!
Answers
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.
480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.
Answers
Answer:
216π sq ft
Step-by-step explanation:
given that :
d = 12 ft => r = 12/2 = 6ft
h(cyl) = 10 ft
h(cone) = 8 ft
the surface area = ?
the solution :
the slant of cone = √r²+h²
= √6²+8²= √100 = 10 ft
the surface area of silo =
the lateral area of cone + the lateral area of cylinder + the base area
= π×r×slant + 2×π×r×h(cyl) + π×r²
= π×6×10 + 2×π×6×10 + π×6²
= 60π + 120π + 36π
= 216π sq ft
The surface area of the silo will be 216π square feet. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.
The surface area is the sum of the surface area of the cone and cylinder. Then we have
The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.
Surface area = πrl + 2πrh + πr²
The length of the radius will be
r = d /2
r = 12 / 2
r = 6 ft
The length of slant height will be
l² = 6² + 8²
l² = 100
l = 10 ft
Then the surface area of the silo will be
SA = π × 6 × 10 + 2π × 6 × 10 + π6²
SA = 60π + 120π + 36π
SA = 216π square feet
The surface area of the silo will be 216π square feet.
Then the correct option is C.
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Benny the tiger, eats 12.5 pounds of meat per day. Each pound of meat costs $3.10. Jasmine prefers hay and alfalfa. She eats 200 pounds a day.Which animal cost more to feed each day? Show how you know
Answers
Answer:
Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.
Helpppppp!!!!!!!!!!!
Answers
Answer:
just do pythagorean theorem
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
This is a Pythagorean Problem
Formula
a^2 + b^2 = c^2
a = 5
b = ?
c = 9
Solution
5^2 + b^2 = 9^2 Expand the givens
25 + b^2 = 81 Subtract 25 from both sides
25-25+b^2 = 81- 25
b^2 = 56
√b^2 = √56
b = √8*7
b = √2*2*2*7
b = 2 √2*7
b = 2 √14
For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.
Is - 4 the absolute value of 3 – 7? Explain.
Answers
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!
We can solve this problem in a single step, we just need to know more about absolute value.
Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.
Since we know that, we can solve the problem using algebra and our new logic we got.
\(|3-7|=-4?\\4\neq -4\)
We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.
Cheers!
No idea how to do
\(\frac{4r + 20}{r + 5}\)
when r ≠ 5 ?
Answers
Factorize the numerator:
4r + 20 = 4r + 4×5 = 4 (r + 5)
I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:
(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4
4) Given that x is an integar
find the three greatest value
of x which satisfies the lines
inequality 7x < 2x - 13
Answers
Answer:
The three greatest are -3, -4, -5
Step-by-step explanation:
7x < 2x - 13
Subtract 2x from each side
7x-2x < 2x-2x - 13
5x < -13
Divide by 5
5x/5 < - 13/5
x < - 2 3/5
Since x is an integer
-3 is the largest integer that fits the inequality
The three greatest are -3, -4, -5
please assist with helping in the image below!!
Answers
There was a population of 40 bears in a National Park. After a year, the population increased by 40%. How many bears are there in the park now?
Answers
Answer: 56
Step-by-step explanation:
Given
There are 40 bears in a national park
After a year, Population increased by 40%
An increase in population is
\(=40\times 40\%\\=40\times 0.4\\=16\)
So, a new population is the sum of the original and increased population
\(\Rightarrow 40+16\\\Rightarrow 56\)
Question
OTTU
A restaurant manager states the number of customers that enter the restaurant is equal to 5 times the number of people that bura
hotdog from the hotdog cartplus 14. The manager also states that the number of customers that enter their restaurant seguit 2
times the number of people that buy a hotdog from the hotdog cart plus 41. What number of people buying a hotdog from the bodas
cart across the street makes the equation 5x + 14 = 2x +41 true? Round your answer to the nearest whole number.
Answers
The answer to this question will be 45 because you minus 15 on both sides and get 45 for 60 minus 15 and then will minus 2x on both sides and the Equation will now be x=45 and you plug it in to check
t/27 = 36 algebra, I'm stuck on this and can't figure it out
Answers
Answer:
972
Step-by-step explanation:
t/27=36
t=36*27
t=972
Answer:
t=972
Step-by-step explanation:
t = 27 x 36
t = 972
Check:
972/27 = 36
Check!
Hope that helps!
Ginny divided the cake into 12 pieces. She gave 4 pieces to Sammy. What fraction of the cake did she have left?
Answers
Answer: 2/3 or 1/3
Step-by-step explanation: If we have a cake that has a total of 12 pieces, and we gave four to someone else we would have 8/12 pieces left. Now if we simplify then we would have 2/3 left.
Alternate explanation: Now if we just want to divide 4/12 then we would have 1/3.
I'm happy to help let me know if I'm wrong!
Probabilities in Coin Tossing Three fair coins are tossed. (a) Write out the sample space. Determine the probability of each event. (b) no heads (c) exactly one head (d) exactly two heads (e) three heads
Answers
a. The sample space for tossing three fair coins can be written as:
{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
b. The probability of getting no heads is 1/8 or 0.125.
c. The probability of getting exactly one head is 3/8 or 0.375.
d. The probability of getting exactly two heads is also 3/8 or 0.375.
e. The probability of getting three heads is 1/8 or 0.125.
(a) The sample space for tossing three fair coins can be written as:
{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
Where H represents heads and T represents tails.
The probability of each event is:
(b) No heads: There is only one outcome in the sample space where all three coins are tails (TTT). Therefore, the probability of getting no heads is 1/8 or 0.125.
(c) Exactly one head: There are three outcomes in the sample space where exactly one coin is heads (HHT, HTH, THH). Therefore, the probability of getting exactly one head is 3/8 or 0.375.
(d) Exactly two heads: There are three outcomes in the sample space where exactly two coins are heads (HTH, HHT, THH). Therefore, the probability of getting exactly two heads is also 3/8 or 0.375.
(e) Three heads: There is only one outcome in the sample space where all three coins are heads (HHH). Therefore, the probability of getting three heads is 1/8 or 0.125.
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find the value of x in the equation 3(2x-4)-5(x-2)=1
Answers
Answer:
x=3
Step-by-step explanation:
3(2x−4)−5(x−2)=1
Step 1: Simplify both sides of the equation.
3(2x−4)−5(x−2)=1
(3)(2x)+(3)(−4)+(−5)(x)+(−5)(−2)=1(Distribute)
6x+−12+−5x+10=1
(6x+−5x)+(−12+10)=1(Combine Like Terms)
x+−2=1
x−2=1
Step 2: Add 2 to both sides.
x−2+2=1+2
x=3
Given f(x) = (5x + 4)(4x − 2), find the (x, y)-coordinate on the graph where the slope of the tangent line is 8.
Answers
Given f(x) = (5x + 4)(4x − 2), the (x, y)-coordinate on the graph where the slope of the tangent line is 8 is (1, 18).
Given that f(x) = (5x + 4)(4x − 2). We have to find (x, y)-coordinate on the graph where the slope of the tangent line is 8.To find the slope of a tangent line to a curve, we will differentiate the curve and substitute the given value of x into the derivative function.
Here, the function is f(x) = (5x + 4)(4x − 2). Therefore, we have to find the derivative of the given function f(x).Using the product rule of differentiation, we can differentiate the given function.
f(x) = (5x + 4)(4x − 2)f(x) = (5x + 4)×d/dx(4x − 2) + (4x − 2)×d/dx(5x + 4)f(x) = (5x + 4) × 4 + (4x − 2) × 5f(x) = 20x + 16 + 20x − 10f(x) = 40x + 6
Therefore, the derivative of f(x) is 40x + 6.The slope of the tangent line to the graph at a point is equal to the value of the derivative at that point. So, if we want to find the slope of the tangent line when x = a,
we calculate f'(a). Now, we have to find the value of x for which the slope of the tangent line is 8. Let's set the slope of the tangent line to 8.8 = f'(x)8 = 40x + 68 - 6 = 40x2 = 20x1 = x/2
Now, we have the value of x that corresponds to a slope of 8. We can find the corresponding y-coordinate on the graph by plugging this value of x into the original function. f(x) = (5x + 4)(4x − 2)f(1) = (5×1 + 4)(4×1 − 2)f(1) = (9)(2)f(1) = 18
Therefore, the (x, y)-coordinate on the graph where the slope of the tangent line is 8 is (1, 18).
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