Page: If the circumference of the circular base of the cylinder with height 22 cm is 132cm, what is the total surface area of cylinder​

The produce a 95% confidence interval with a margin of error of 4% sample size of 451 the proportion of people eating breakfast is 75%.

The required sample size for a 95% confidence interval with a margin of error of 4% (0.04) and a proportion of 75%,

n = (Z² × p × (1-p)) / E²

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = proportion of people eating breakfast (expressed as a decimal, so 75% is 0.75)

E = margin of error (0.04)

n = (1.9² × 0.75 × (1-0.75)) / 0.04²

n =(3.8416 × 0.75 × 0.25) / 0.0016

n = 0.7209 / 0.0016

n = 450.56

a fractional sample size, to round up to the nearest whole number.

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Answer:

the answer is an invisible 1

The length and the width of the rectangle are 86m and 86m respectively

The maximum area of a rectangle with a given perimeter, we need to use the fact that the perimeter of a rectangle is the sum of all four sides, or twice the length plus twice the width.

Let L be the length and W be the width of the rectangle, then we have:

Perimeter = 2L + 2W = 344 meters

We want to find the length and width that maximize the area of the rectangle, given this perimeter.

The area of a rectangle is given by the formula:

Area = Length x Width = L x W

To maximize the area, we can use the fact that the area is a quadratic function of one of the variables (either L or W) and that it has a maximum at the vertex of the parabola.

To find the vertex of the parabola, we can use the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic function f(x) = ax^2 + bx + c.

In this case, the area function is:

f(L) = L(172 - L)

where 172 is half the perimeter (since 2L + 2W = 344, we have L + W = 172, so W = 172 - L).

To find the vertex of this parabola, we need to find the value of L that maximizes the area. We can do this by taking the derivative of f(L) with respect to L, setting it equal to zero, and solving for L:

f'(L) = 172 - 2L = 0

L = 86 meters

This gives us the length of the rectangle that maximizes the area. To find the width, we can substitute L = 86 into the equation for the perimeter:

2L + 2W = 344

2(86) + 2W = 344

W = 86 meters

Therefore, the length and width of the rectangle that has the given perimeter and a maximum area are 86 meters and 86 meters, respectively.

The Perimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside. you will come across many geometric shapes and sizes, which have an area, perimeter and even volume. You will also learn the formulas for all those parameters. Some of the examples of different shapes are circle, square, polygon, quadrilateral, etc. In this article, you will study the key feature of the rectangle

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The calculated perimeter of the square from the side length is 17.2x + 8

From the question, we have the following parameters that can be used in our computation:

A square that has a side length of 4.3x + 2 inches.

Using the above as a guide, we have the following:

Perimeter = 4 * side length

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 4 * (4.3x + 2)

When teh brackets are opened, we have

Perimeter = 17.2x + 8

Hence, the perimeter is 17.2x + 8

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Yes, all the numbers are multiples of prime numbers is a true statement as it get proved by prime factorization theorem.

As given in the question,

Given statement is written as:

All the numbers are representing multiples of prime numbers.

In the field of mathematics,

Using prime factorization theorem also known as fundamental theorem of arithmetic states that:

All the integers which are greater than one are represented as a multiple of prime numbers:

Example of the above stated theorem:

2 = 2×1

3 = 3 × 1

6 = 2 × 3

14 = 2 × 7 ( 2 and 7 both are prime numbers )

98 = 7 × 7 ×2 ..... and so on.

Therefore, all the numbers represents as a multiple of prime numbers is a true statement.

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As per the given correlation, the appropriate null and alternative hypothesis for calculating number of goggles is

H0 : No linear relation

H1 : there is a relation

What is meant by correlation?

In math, correlation is referred as a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

And it is a common tool for describing simple relationships without making a statement about cause and effect.

Based on the given question, a group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.

And we also know that, they wanted to know if the weight of the piknits can be used to predict the number of gogles.

Here from the given information, the null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of goggles

And the Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles

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Answer:

(15/4)4^x

Step-by-step explanation:

Substituting the x and y values of the first point, we get:

y = ab

60 = ab^(2)

Substituting the x and y values of the second point, we get:

y = ab

960 = ab^(4)

Now we can solve for a and b by eliminating one of the variables. One way to do this is to divide the second equation by the first equation:

960/60 = (ab^(4))/(ab^(2))

16 = b^(2)

Taking the square root of both sides, we get:

b = ±4

Since an exponential function can only have positive values for b, we choose b = 4. Now we can solve for a by substituting b = 4 into one of the original equations:

60 = a(4^(2))

60 = 16a

a = 60/16

a = 15/4

Therefore, the values of a and b are a = 15/4 and b = 4, and the exponential function is y = (15/4)4^x.

Answer:

D

Step-by-step explanation:

Answer:

y=(-1/6)x -3

Step-by-step explanation:

y=(-1/6)x + b, plug in (6,-4) to solve for b

-4 = (-1/6)(6) + b

b = -4 + 1 = -3

Based on the information provided, Jameela, who lives in poverty and has a diet mainly consisting of legumes, whole-grain breads and rice, fruits, and a few vegetables, is most at risk of nutrient deficiencies.

Jameela's limited access to a varied and balanced diet puts her at risk of nutrient deficiencies. While legumes, whole-grain breads, rice, fruits, and vegetables can provide essential nutrients, it is important to have a diverse range of food sources to ensure an adequate intake of all necessary vitamins, minerals, and other nutrients.

The heavy veils worn by Jameela may further contribute to her risk of nutrient deficiencies. The veils may limit her approach to sunlight, which is an important source of vitamin D synthesis in the body. Vitamin D is crucial for bone health and overall immune function. If Jameela does not have alternative sources of vitamin D in her diet or through supplements, she may be at risk of deficiency.

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A two-step experiment consists of tossing a six-sided die and flipping a coin. The sample space for this experiment consists of all possible outcomes that could result from both steps. To find the number of elements in the sample space, we need to multiply the number of possible outcomes for each step.

The first step involves rolling a six-sided die, which has six possible outcomes. The second step involves flipping a coin, which has two possible outcomes. To find the total number of elements in the sample space, we need to multiply these two numbers together:

6 x 2 = 12

Therefore, the sample space for this two-step experiment consists of 12 elements, each representing a unique outcome that could result from rolling the die and flipping the coin. This could be represented in a tree diagram, where each branch represents a possible outcome at each step, and the endpoints of the branches represent the final outcomes in the sample space.

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The total distance traveled by both people is 48 miles + 6 miles = 54 miles.

Two people travel a total distance of 54 miles in 3 hours. One person rides a bike at 16 mi/h, covering 48 miles, while the other walks at 3 mi/h, covering 6 miles.

In 3 hours, the person riding the bike travels at a speed of 16 mi/h, covering a distance of 16 mi/h * 3 h = 48 miles.

The person walking at a speed of 3 mi/h covers a distance of 3 mi/h * 3 h = 9 miles.

Therefore, the total distance traveled by both people is 48 miles + 6 miles = 54 miles.

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Answer:

Step-by-step explanation:

Cant see the whole graph but I'm pretty sure you just put A 3 dashes from 0, B 6 dashes from 0, and C 9 dashes from 0

Answer:

Désolé mec mais je n'ai pas compris ta question

Answer:

fhbf

Step-by-step explanation:

frbhrfbjrbfr

Answer:

y = 11

Step-by-step explanation:

y = mx-b

We know that m=4 ,x=5 and b =9

Substitute these values into the equation.

y = 4(5) -9

y = 20 -9

y = 11

Answer:

y=4×5-9

y=20-9

y=11

please give me brainlest

Answer:

2556.8

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

15^2+6^2 = 261

square root of that is 16.15549442

Answer:

90cm

Step-by-step explanation:

15^2 + 6^2 = c^2

c^2 = 8100

c = 90

HOPE THIS HELPS!!!

Answer:

4.116 × 10^8 = 411,600,000

Step-by-step explanation:

i just put it in the calculator dont get mad at me

The volume of the solid generated by revolving the region bounded by the parabola y = x² and the line y = 1 about the line y = -1 is -8π/5 cubic units.

To find the volume of the solid generated by revolving the region bounded by the parabola y = x² and the line y = 1 about the line y = -1, we can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

V = ∫(2π * r * h * dx)

In this case, the distance from the axis of rotation to the function y = x² is (x² - (-1)) = x^2 + 1,

and the distance from the axis of rotation to the function y = 1 is (1 - (-1)) = 2.

So, r = x² + 1 for y = x²

r = 2 for y = 1

Now, let's calculate the volume

V = ∫(2π * r * h * dx) from x = -1 to x = 1

V = ∫(2π (x² + 1)  (x² - 1)  dx) from x = -1 to x = 1  

V = 2π  ∫((x² + 1)  (x² - 1)  dx) from x = -1 to x = 1

V = 2π  ∫(\(x^4\) - 1  dx) from x = -1 to x = 1  

V = 2π  (\(x^5\)/5 - x) from x = -1 to x = 1

V = 2π  (1/5 - 1 + 1/5 - 1)

V = 2π  (2/5 - 2)

V = 2π (-4/5)

V = -8π/5

Therefore, the volume of the solid generated by revolving the region bounded by the parabola y = x² and the line y = 1 about the line y = -1 is -8π/5 cubic units.

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Answer:

20

0

20

Step-by-step explanation:

it's correct don't worry

Answer:

B

x = 22

Step-by-step explanation:

2x + 8 + 3x + 5 = 123    (external angle in a triangle = the two opposite angles)

5x = 123 - 13

5x = 110

x = 22

Answer: B

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two opposite interior angles.

(2x+8)+(3x+5)=123       [combine like terms]

5x+13=123                     [subtract both sides by 13]

5x=110                           [divide both sides by 5]

x=22

Now, we know that the answer is B.

Answer:

240 m³

Step-by-step explanation:

Triangular base = 1/2bh=

1/2(5)(12)=30

30x8=240m³

(Volume is in cubic units, not square units, so I’m not sure why the question says that.)

The solution to the inequality expression is x > 1/6

From the question, we have the following parameters that can be used in our computation:

–2(8x – 4) < 2x + 5

Open the brackets

So, we have

-16x + 8 < 2x + 5

Evaluate the like terms

-18x < -3

Divide both sides by -18

x > 1/6

Hence, the solution is x > 1/6

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(a) The scatter diagram is a graphical representation of the relationship between the coefficient of thermal expansion (a) and temperature (T).

(b) Linear regression can be used to determine the relationship between thermal expansion and temperature. By fitting a straight line to the data points using the method of least squares, we can find the best-fitting line that represents the overall trend. This regression line can be expressed as an equation of the form a = mx + c, where m is the slope (representing the change in a per unit change in T) and c is the y-intercept (representing the value of a when T is zero).

(c) Once we have obtained the regression equation from (b), we can calculate the regression residuals for each data point. The residuals are the differences between the observed values of a and the predicted values based on the regression equation. Constructing a run chart plot for these residuals allows us to visualize the deviations from the expected behavior. We can analyze the residual plot to identify any patterns or outliers, which can provide insights into the adequacy of the linear regression model and the presence of any systematic errors or unusual data points.

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The third step in the scientific method, after formulating a hypothesis, is to design and conduct experiments or gather data to test the hypothesis.

Once a hypothesis has been formulated, it needs to be tested through empirical investigation. This involves designing and conducting experiments, or gathering relevant data, to gather evidence and evaluate the validity of the hypothesis.

The purpose of this step is to systematically collect data and observations that can either support or refute the hypothesis. By conducting experiments or gathering data, scientists aim to gather empirical evidence that can provide insights into the relationship between variables and help draw conclusions about the hypothesis.

This step often involves developing a research plan, selecting appropriate methods, identifying variables, collecting data, and analyzing the results. The experiments or data collection process should be carefully designed to ensure that they provide meaningful and reliable information to test the hypothesis.

The third step in the scientific method is to design and conduct experiments or gather data to test the hypothesis. This step involves systematically collecting empirical evidence to evaluate the validity of the hypothesis and draw conclusions based on the results.

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The least possible integer discussed is 12, where two consecutive friends made incorrect statements among a sequence of divisibility claims.

Since two friends made consecutive incorrect statements, it means the numbers they claimed were not actually divisible by the corresponding numbers.

To minimize the integer being discussed, the incorrect statements must occur for the smallest possible numbers in consecutive order.

Divisibility by 1, 2, 3, and 4 is guaranteed, but the fifth friend's statement of divisibility by 5 must be incorrect.

Therefore, the least possible integer discussed is the product of the first four numbers: 1 × 2 × 3 × 4 = 12.

Any larger number would require additional incorrect statements, violating the given condition of only two incorrect statements by consecutive friends.

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There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.

To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.

Given:

Sample size (n) = 100

Observed sample proportion ) = 0.48

True population proportion (p) = 0.60

To find the probability, we need to standardize the observed sample proportion using the z-score formula:

z = ( - p) / √(p * (1 - p) / n)

Substituting the values:

z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)

= -0.12 / √(0.24 / 100)

= -0.12 / √0.0024

= -0.12 / 0.049

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.

The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.

P ≤ 0.48) = P(z ≤ -0.12)

Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.

Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.

This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.

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