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\(( \frac{3}{4} - \frac{1}{2} ) \times \frac{5}{6} \)
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Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

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Answer: 20 liters

Step-by-step explanation:

Let the number of liters of 15% alcohol solution be \(x\).

\(0.15x+30(0.4)=0.3(x+30)\\\\0.15x+12=0.3x+9\\\\12=0.15x+9\\\\0.15x=3\\\\x=20\)

Y=2/3x-1/3 is you slope intercept form of the equation

Answer:

Y=2/3x-1/3

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an even will happen or not happen is 1.

Given that the spun has 10 sections 3 red, 3 blue and 4 green, the probability of not getting green

= (3 + 3)/(3 + 3 + 4)

= 6/10

The probability of getting green

= 4/10

Hence the probability of getting not green then green

= 6/10 * 4/10

= 24/100

= 0.24

Answer: 1) not 2) not 3) monomial 4) binomial 5) trinomial 6) trinomial 7) not 8) trinomial 9) trinomial 10) not 11) trinomial 12) not 13) binomial 14) trinomial 15) trinomial

Step-by-step explanation:

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.

We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:

3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.

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The lines given, based on the picture, can be said to be skew.

Skewed lines are two lines that are not parallel to one another, neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist in various planes. Two lines in a two-dimensional space can either intersect or run parallel to one another. Skew lines can never exist in 2D space as a result.

Skew lines occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet. These lines go on forever in both directions.

The picture shows lines on steps. These steps therefore exist on different planes but are not parallel. They must therefore be skew.

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Answer:

I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs

The Normal model is a good approximation for the sampling distribution.

a) According to the Central Limit Theorem, the theoretical mean and standard deviation for a sample size of 20 should be 0.05 and 0.02, respectively. For a sample size of 100, the theoretical mean and standard deviation should be 0.05 and 0.01, respectively.

b) The observed mean and standard deviation for a sample size of 20 was 0.052 and 0.021, respectively. For a sample size of 100, the observed mean and standard deviation was 0.051 and 0.012, respectively. These values are fairly close to the theoretical values.

c) Looking at the histograms in Exercise 1, I would be comfortable using the Normal model as an approximation for the sampling distribution at a sample size of 100.

d) The Success/Failure Condition states that the sample size should be large enough for the sampling distribution of the sample proportions to be approximately normal. Since I chose a sample size of 100, which satisfied the condition, I can be confident that the Normal model is a good approximation for the sampling distribution.

The sample size of 100 is large enough for the sampling distribution of the sample proportions to be approximately normal, and the observed mean and standard deviation is close to the theoretical values. Therefore, the Normal model is a good approximation for the sampling distribution.

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Answer:

2 quiz

Step-by-step explanation:

Mr Ondonez gives his students 34 quizzes over 17 weeks. They are given the same number of quiz per week. To calculate the number of quiz given per week, we have to divide the total number of quiz given by the total number of weeks. Therefore:

Number of quiz per week = Total number of quiz / Total number of weeks  

Number of quiz per week = 34 / 17 = 2

The students are given 2 quizzes per week.

Answer:

2 quiz

Step-by-step explanation:

Answer:

no, because both muffins are different sizes, meaning that if a friend ate 2/3 of a small muffin than that would be different

Answer:

= 17

Step-by-step explanation:

If f(x)=3x+2, then replacing x=5 we get f(5)=3x5+2=15+2=17

Answer:

the answer to the equations is 17

Step-by-step explanation:

Answer:6+2w=h

The height of the tree will be 32 inches on week 13

Step-by-step explanation:

ok

A stem-and-leaf display is a visual representation of the data that organizes and presents the motor fuel octane ratings in a clear and concise manner

Median: 88.5, Q1: 84.3, Q3: 91.3

i. Stem-and-leaf display for the given data is given below

The stem-and-leaf display is a way to organize and present data in a visual format. In this case, the stem-and-leaf display is constructed for the given data on motor fuel octane ratings.

The stem represents the tens digit of each data point, while the leaf represents the ones digit. The data points are grouped based on their stem values, and the corresponding leaf values are listed next to each stem.

For example, in the stem-and-leaf display:

- The stem "8" corresponds to data points with tens digit 8.

- The leaves "4 8 9 9" indicate that there are four data points with tens digit 8 and ones digit 4, 8, 9, and 9, respectively.

- The stem "9" corresponds to data points with tens digit 9.

- The leaves continue in the same manner for the other stems.

The stem-and-leaf display provides a concise representation of the data distribution, allowing us to easily observe the range and frequency of values.

ii. Median and quartiles of the data:

- Median: The median is the middle value of the dataset when arranged in ascending order. Since the dataset has an odd number of observations (39), the median is the value at the (39 + 1) / 2 = 20th position. The 20th value is 88.5.

- Quartiles: The quartiles divide the dataset into four equal parts. To find the quartiles, we need to determine the positions of the values. The first quartile (Q1) is the value at the (39 + 1) / 4 = 10th position, which is 84.3. The third quartile (Q3) is the value at the (3 * (39 + 1)) / 4 = 30th position, which is 91.3.

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Answer:

They buy at wholesale and sell at an 80% markup. The retail prices are;

0 - 20 pairs.

= 25 * 1.80

= $45.00

21 - 40 pairs

= 23 * 1.80

= $41.40

41 - 60 pairs

= 21 * 1.80

= $37.80

61 - 80 pairs

= 19 * 1.80

= $34.20

81 or more pairs

= 17 * 1.80

= $30.60

Answer:

x is 10

Step-by-step explanation:

For a parallelogram, the sum of adjacent angles equals 180 degrees. Based on the given shape, mZBAD and <CBA are adjacent to each other

Hence mZBAD + mZCBA = 180

83 + 9x + 7 = 180

90 + 9x = 180

9x = 180-90

9x = 90

x = 90/9

x = 10

Hence the value of x is 10

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 80cm

The length is 4 inches longer than twice the width is written as

l = 4 + 2w

Substitute this into the formula and solve for the width

That's

80 = 2( 4 + 2w) + 2w

80 = 8 + 4w + 2w

6w = 80 - 8

6w = 72

Divide both sides by 6

w = 12 cm

Substitute w = 12 cm into l = 4 + 2w

That's

l = 4 + 2(12)

l = 4 + 24

l = 28cm

Therefore

length = 28 cm

width = 12 cm

Hope this helps you

Answer:

x = 5

Step-by-step explanation:

6x + 14 = 44

6x = 30

x = 5

Step-by-step explanation:

When a number is grouped with the x in this problem it will move the graph right (if it is is minus) and it will

move it left ( if it is plus), therefore the original graph will be move to the left 5 units.

Answer:

two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.

(instead of translations/rotations we could write transformations, but there are transformations that also change the size of the figure, so I think that writing translations/rotations is more precise)

Step-by-step explanation:

Two figures are congruent if they have the same shape and size.

So for example, if we have one triangle, and we reflect that triangle along some line, those bot images will have the same shape and size (but maybe different orientations) so the triangles are still congruent.

Also, we could translate the image, or simply rotate it along some point, and the resulting image will be congruent to the initial image.

Then two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.

The composition that maps one polygon to the other polygon to make both congruent is called; Similarity transformation.

Now, we are told that there has to be a composition that will map one polygon to another one. This means that the two polygons must have the same shape after transformation.

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Both c. f is continuous on the interval [-2,3], where f(-2)=0 and f(3)=20 and d. f is continuous on the interval [-2,3], where f(-2)=15 and f(3)=30 options are correct. given below is the explanation of the result.

using Intermediate value theorem:(statement: suppose that f∈c[a,b] and f(a)≠f(b) then given a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ)

know according to the Intermediate value theorem both option c and d are correct here because either f(a)<f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ) here if we take  interval [-2,3], where f(-2)=0 and f(3)=20 the theorem is applicable. if we have f(a)>f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ so if we take the interval [-2,3], where f(-2)=15 and f(3)=30,the above stated theorem is applicable.

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Answer:

i'm not sure what the statements are but here is some information

p + j + m = 3000

1533 + 837 + m = 3000

m = 630

Marina has 630 cards

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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To express a product as a sum or difference containing only sines or cosines, we can use trigonometric identities such as the sum and difference identities. These identities allow us to rewrite products involving sines and cosines as sums or differences of sines or cosines.

Let's consider an example:

Suppose we have the product cos(x)sin(x). We can rewrite this product using the double angle identity for sine:

cos(x)sin(x) = (1/2)sin(2x)

In this case, we have expressed the product as a sum of sines.

Similarly, if we have the product sin(x)cos(x), we can use the double angle identity for cosine:

sin(x)cos(x) = (1/2)sin(2x)

In this case, we have also expressed the product as a sum of sines.

In summary, to express a product as a sum or difference containing only sines or cosines, we can use trigonometric identities like the double angle identity for sine or cosine. By applying these identities, we can rewrite the product in terms of sums or differences of sines or cosines.

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The position number for term 47 is 269.

This is an arithmetic sequence since each term has a common difference. Let us test it.

The difference between 1st and 2nd terms is

-7 + d = -1

d = -1 + 7

  = 6

Now we check the difference for term

The difference between 3rd and 4th terms is

5 + d = 11

d = 11 – 5

  = 6

So the difference is the same so we can apply a common equation for arithmetic sequence

\(a_{n}\) = \(a_{1}\) + d ( n - 1 )

Where :

\(a_{n}\) = number at term n

\(a_{1}\) = first number of sequence

d = difference for each number sequence

n = term

From the question, we need to find the number at position term 47

\(a_{n}\) = \(a_{1}\) + d ( n - 1 )

\(a_{47}\) = -7 + 6 ( 47 - 1 )

    = -7 + 6 ( 46 )

    = -7 + 276

    = 269

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Answer:

Step-by-step explanation:

Part A

The first thing you have to do is develop a formula for the line.

It goes through (-2,3)

It has a y intercept of (0,-1)

So far what you know is

y = mx - 1

x = - 2

y = 3

3 = m(-2) - 1                  Add 1 to both sides

3 + 1 = (-2)*m

4 = - 2*m                      Divide by - 2

4/-2 = m

m = - 2

The equation of the line is y = -2x - 1

Instead of y, we can use f(x)

f(x) = -2x - 1

Finally we can solve this part of the question.

f(1) = - 2(1) - 1

f(1) = -2 - 1

f(1) = - 3

Part B

f(x) = 5

y = 5

5 = -2x - 1           Add 1 to both sides

5+1 = - 2x           Divide by - 2

6 / -2 = -2x/-2

-3 = x

Answer:

36

8 times 9 equals 72 and then you just divide that by two and it would be 36

Answer:

152.4 cm

Step-by-step explanation:

Answer:

152.4

Step-by-step explanation:

hope this help