8/12
600
x
9
y
2
-2
3
What is the slope shown on the table?
-3
-6
-9
-10
3
m =
m = -4
2
3
3
m =
m =
3
Esca

Answer:

the class started a new one

Answer:

5

Step-by-step explanation:

To calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs, we use the formula:

Confidence Interval = Sample Mean ± Margin of Error

Given:

Sample Mean (x) = 195

Standard Deviation (σ) = 18

Sample Size (n) = 100

The margin of error can be calculated using the formula:

Margin of Error = (Z * σ) / √n

For a 95% confidence level, the Z-value for a two-tailed test is approximately 1.96.

Margin of Error = (1.96 * 18) / √100

= 3.528

Therefore, the confidence interval is:

(195 - 3.528, 195 + 3.528)

(191.472, 198.528)

The correct answer is (191, 199).

Question 4: If the sample size is increased from 100 to 200, the margin of error will decrease in size. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error becomes smaller, resulting in a more precise estimate.

Question 5: To find out how many pigs must be sampled to have 90% confidence in the results with a margin of error of 6.8, we can use the formula:

Sample Size (n) = (Z^2 * σ^2) / E^2

Given:

Confidence Level (1 - α) = 90% (or 0.9)

Margin of Error (E) = 6.8

Standard Deviation (σ) = 18

For a 90% confidence level, the Z-value for a two-tailed test is approximately 1.645.

Sample Size (n) = (1.645^2 * 18^2) / 6.8^2

= 3.379

Therefore, the minimum number of pigs that must be sampled is approximately 4 (rounded up to the nearest whole number).

The correct answer is 5.

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

Learn more about Random Sampling here: brainly.com/question/30759604

#SPJ11

2t + 3s = 175 is the standard linear equation.

What are linear equations?

Equations of the first order are linear equations. Lines in the coordinate system are determined by linear equations. It is referred to be a linear equation in one variable when the equation only contains one homogeneous variable of degree 1. There might be more than one variable in a linear equation. Linear equations in two variables, for example, are those that have two variables in them.

Let the number of t-shirts = x = t

and the number of sweatshirts = y = s

Each t-shirt weighed 1/2 of a pound and the sweatshirt weighed 3/4 of a pound.

Total weight of t-shirt =  \(\frac{1}{2}x\) pounds

Total weight of sweatshirt = \(\frac{3}{4} y\)  pounds

Now, the total weight of the items in the box = \(43\frac{3}{4}\) pounds

∴ The total weight of the items =  \(\frac{1}{2}x+\frac{3}{4} y\)

=> \(\frac{1}{2}x+\frac{3}{4} y=43\frac{3}{4}=\frac{4.13+3}{4}=\frac{175}{4}\)

Simplifying, we get,

2x + 3y = 175 or

2t + 3s = 175

Therefore, the equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered is 2t + 3s = 175.

To learn more about linear equations, visit the following link:

https://brainly.com/question/11897796

#SPJ1

The standard linear equation that represents the number of t-shirts 't' and the number of sweatshirts 's', that were ordered is 2t + 3s = 175.

The given data about the orders of shirts and sweatshirts by a 10th-grade class officer is as follows:

The number of t-shirts ordered by them = t

The number of sweatshirts ordered by them = s

The weight of the t-shirts = 1/2 t pounds

The weight of the sweatshirts = 3/4 s pounds

But it is given that, the total weight of the contents of the box = 43 3/4

I.e., 1/2 t + 3/4 s = 43 3/4

On simplifying, we get

(2t + 3s)/4 = 175/4

⇒ 2t + 3s = 175

Thus, the required linear equation is 2t + 3s = 175.

Learn more about a linear equation at the following link:

https://brainly.com/question/12788590

#SPJ1

Answer:

The Answer Is X 9, Aka C, I just got it correct

The range for the southern cities is 145 mi² greater than the range for the northern cities.

We must determine the difference between the largest and smallest areas in each group in order to determine the range of the cities.

Minneapolis has the smallest area (58 miles2) and the largest (305 miles2) of the northern cities. Therefore, the northern cities' range is:

305 mi² - 58 mi² = 247 mi²

For the southern cities, the smallest area is 111 mi² (Orlando) and the largest area is 503 mi² (Los Angeles). So the range for the southern cities is:

503 mi² - 111 mi² = 392 mi²

To find how much greater the range is for the southern cities, we subtract the range for the northern cities from the range for the southern cities:

392 mi² - 247 mi² = 145 mi²

As a result, the cities in the south have a range that is 145 miles longer than the cities in the north.

know more about range visit :

https://brainly.com/question/30067462

#SPJ1

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved

The tangent point of line 2x+3y=-20 is (-7, -1).

To find the point of tangency, determine the intersection point of the line 2x + 3y = -20 and the circle centered at (-3, 4).

The point of tangency will lie on the line that is perpendicular to the tangent line and passes through the center of the circle.

The slope of the given line is -2/3, so the slope of the line that is perpendicular to it is 3/2:

y - 4 = (3/2)(x + 3)

y - 4 = (3/2)x + 9/2

y = (3/2)x + 17/2

Substitute this expression for y into the equation of the tangent line and solve for x:

2x + 3y = -20

2x + 3[(3/2)x + 17/2] = -20

2x + (9/2)x + 51/2 = -20

(13/2)x = -91/2

x = -7

Substituting this value of x into the equation of the line:

y = (3/2)x + 17/2 = (3/2)(-7) + 17/2 = -1

Therefore, the point of tangency is (-7, -1).

Find out more on tangent point here: https://brainly.com/question/4470346

#SPJ1

The 99% confidence interval for the mean pH in rain is [3.32, 3.68]. Hence, option A is the correct answer.

Given, the water samples from 100 rainfalls are analyzed for pH, and x and s of pH from the 100 water samples are equal to 3.5 and 0.7, respectively. We need to find a 99% confidence interval for the mean pH in rain.The formula for calculating the confidence interval is as follows:

Confidence interval = (sample mean) ± (critical value) x (standard error)

Where,Sample mean = x = 3.5

Standard error = s /√n = 0.7/√100 = 0.07z-value for 99%

confidence level = 2.576 (from z-table)

Putting the values in the above formula, we get the confidence interval as below:

Confidence interval = 3.5 ± 2.576 × 0.07= 3.5 ± 0.18

To know more about sample:

https://brainly.com/question/12823688

#SPJ11

Answer: (x, -y)

Step-by-step explanation:

The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

Learn more about Confidence interval:

https://brainly.com/question/17097944

#SPJ11

The structure supports a distributed load of 15 kN/m. The limiting stress in rod (1) is 370 MPa, and the limiting stress in each pin (a, b, c) is 200 MPa.

The given information provides details about the distributed load and the limiting stress in the components of the structure. The distributed load of 15 kN/m indicates that the structure is subjected to a uniform force distribution along its length. This load is essential to consider when analyzing the stress and deformation of the components.

In the structure, rod (1) has a limiting stress of 370 MPa. This implies that the maximum stress that rod (1) can withstand without experiencing failure or deformation is 370 MPa. Therefore, it is crucial to ensure that the stress induced by the applied load does not exceed this limit in order to maintain the structural integrity of rod (1).

Furthermore, each pin (a, b, c) has a limiting stress of 200 MPa. Pins are often used to connect and support structural elements, such as beams and rods. The limiting stress of 200 MPa indicates the maximum stress these pins can endure before they fail. It is necessary to ensure that the stresses on the pins caused by the load distribution and their respective connections do not surpass this threshold to prevent pin failure.

To design a safe and reliable structure, engineers must consider these limiting stresses and ensure that the applied loads and resulting stresses are within the permissible limits for both rod (1) and the pins (a, b, c). By carefully analyzing the structural components and their stress distributions, suitable materials and design modifications can be implemented to meet the required safety standards and ensure the longevity of the structure.

Learn more about load here:

https://brainly.com/question/2158229

#SPJ11

The condition that disrupts disulfide bonds in proteins by forming ionic bonds is option B) Heavy Metal Ions.

The protein denaturation condition that disrupts disulfide bonds in proteins by forming ionic bonds is option B) Heavy Metal Ions.

Denaturation refers to the alteration of a protein's structure, which can result in the loss of its biological activity. Disulfide bonds, which are covalent bonds formed between two sulfur atoms, play a crucial role in maintaining the tertiary structure of proteins.

When heavy metal ions are present, they can bind to sulfur atoms, causing the disulfide bonds to break. This disruption occurs because the metal ions form ionic bonds with the sulfur atoms, resulting in the formation of metal-sulfur complexes.

As a result, the protein's structure is altered, leading to denaturation. Denaturation can affect the protein's function and can be irreversible in some cases.

To summarize, the condition that disrupts disulfide bonds in proteins by forming ionic bonds is option B) Heavy Metal Ions.

Learn more about denaturation:

https://brainly.com/question/1303446

#SPJ11

Answer:

No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...

  2(4x² -4x -3)

To factor this, you are looking for factors of (4)(-3) that have a sum of -4.

  -12 = 1(-12) = 2(-6) = 3(-4)

These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.

  = 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)

Of these, the factors that are on your list of choices are ...

Answer:

No

Step-by-step explanation:

The only consecutive integers that satisfy the Pythagorean theorem are 3, 4, and 5.

___

4^2 ≠ 2^2 + 3^2

16 ≠ 4 + 9 . . . . . . . an attempt at applying the Pythagorean theorem to the given numbers fails.

Answer:

a = -7

Step-by-step explanation:

4a – (6 – 5a) + 12 = 3a + 2(2a – 4)

According to the given data we have the following:

3√45 -4 √225 + √200 - √50

Then to simplify we would have to make the following:

[3 × √3 × √3 × √5] - [√5 × √5 × √5] + [√2 × √2 × √2 × √5 × √5] - [√2 × √5 × √5]

=[3 × 3 × √5] - [5 × √5] + [2 × 5 × √2] - [5 × √2]

=3√5 - 5√5 + 10√2 - 5√2

=√5(3 - 5) + √2(10 - 5)

=(-2√5) + 5√2

The probability that at least 200 out of 215 college graduates under age 25 are employed is 0.29

In this question we have been given  8% of college graduates, under the age of 25 are unemployed.

We need to find the probability that at least 200 out of 215 college graduates under age 25 are employed.

Here, n = 215

8% of college graduates, under the age of 25 are unemployed.

So, p = 0.08

For graduates under age 25 are employed,

Pr = 1 - 0.08

Pr = 0.92

We use Normal probability distribution

The expected value of the binomial distribution is:

E(x) = n * Pr

E(x) = 215 * 0.92

E(x) = 197.8

So, μ = E(x)

        = 197.8

An the standard deviation would be,

σ = √n * Pr * (1 - Pr)

σ = √(215 * 0.92 * 0.08)

σ = 3.98

An expression for the exact probability that at least  200 out of 215 college graduates under age 25 are employed.

P(x ≥ 200)

which is nothing but the pvalue of Z when x = 200

z = x - μ/σ

z = (200 - 197.8)/3.98

z = 0.55 has p value 0.29

Therefore, the required probability is 0.29

Learn more about the probability here:

https://brainly.com/question/15712097

#SPJ4

Answer:

The y-intercept is the point where the graph crosses the y- axis.  The line crosses the y-axis at (0,-6). So, the y-intercept is -6.

A. The y-intercept is 3,500. (0,3500)

B. The y-intercept represents the height of the glider when it starts falling.

Step-by-step explanation:

Answer:

See the attached image.

Step-by-step explanation:

The y-intercept is the point on a line when it touches the y-axis.

When the horizontal axis is time (t), this point at t = 0 represents when no time has passed since some point in time.

b =(17,6x 8,9):19,7=7,95

The points A,B and C are collinear so the value of x is -11/3 and the value of y is 0 as calculated using the section formula for the midpoint of a line segment.

If three points are collinear then the slope between any two points on the line will be same.

Slope of AB = (1+3) / (-1-x) will be equal to slope of BC = (7-1) / (3+1)

Hence :  (1+3) / (-1-x) =  (7-1) / (3+1)

Now we will solve the linear equation to find the value of x .

4 / (-1-x) = 6 / 4

or, 16 = -6 (x+1)

or, 16 = -6x -6

or, 6x = 22

or, x = -11/3

Now using section formula for midpoint we get the coordinates of P and R.

\({\displaystyle P=\left({\frac {mx_{2}+nx_{1}}{m+n}},{\frac {my_{2}+ny_{1}}{m+n}}\right)}\)

Abscissae of R = x , hence

x+(-2) = 3×2

or, x = 8

Again the ordinate of P is y

∴y-8 = -4 × 2

or, y = 0

Hence the coordinates of P is (-2,0) and the coordinates of R is (8,-8)

To learn more about collinear lines visit:

https://brainly.com/question/17719606

#SPJ9

Answer:

A rectangle has a height of 5 and a width of x² + 2

To find out:

Express the area of the emotive rectangle?

Formula used:

Area of rectangle = Length × Breadth.

Solutions:

Length = 5 and Breadth = x² + 2

We know that:

Area of rectangle = Length × Breadth.

Substitution the value of Length × Breadth.

= 5 × (x² + 2)

= 5x² + 10

Hence, the area of the emotive rectangle is 5x² + 10

Additional informational:

•Monomials: expressions with single terms are called monomials.

• Binomial: expressions with two terms are called binomials.

• Trinomial: expressions with 3 terms is called trinomial.

• Multinational: expression with Tu are mo terms are called Multinational.

The expected number of colleges to which the student is admitted .2344

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Examples of permutations include arranging persons, digits, numbers, alphabets, letters, and colours. Examples of combinations include choosing the menu, the cuisine, the clothes, the subjects, and the team.

Let X= college to which student is admitted

We are given with n=7 and p=1/6

P(X=2)=⁷P₂\(\frac{1}{6^{2} }(1-\frac{1}{6}) ^{7-2}\)

=.2344

To learn more about permutation visit the link:
https://brainly.com/question/1216161

#SPJ4

Answer:

6

Step-by-step explanation:

Assume that jessie and lester have formed a contract whereby jessie agrees to deliver 10,000 dozen grade a large eggs to be shipped in paper cartons. a shortage of paper makes paper cartons much more expensive, so jessie uses styrofoam cartons and ships the eggs. lester is entitled to cancel the contract based on a material breach of the contract: False.

A carton is a box or container that is typically composed of paperboard, corrugated fiberboard, or liquid packaging board. For packing, a variety of carton types are employed. A box may also be used to describe a carton.

A carton is a food or beverage container that is made of cardboard or plastic. A carton is a large, durable cardboard box used for storage and transportation of products.

The answer is false since Lester lacks the authority to terminate the agreement due to a substantial breach.

Thus, the given statement is false.

To know more about paper cartons refer to:

https://brainly.com/question/19628082

#SPJ4

Answer:

if the two numerators added together are greater than the denominator then it is greater than one