a fertilizer company manufactures 10-pound bags of fertilizer with a standard deviation of 0.24 pounds per bag. the bag weights are normally distributed. what is the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds? if normality conditions are met, round your z-score calculation to 2 decimal places.

Answer:

M=116˚

Step-by-step explanation:

Hi,

This is an example of alternate interior angles. The rule for these is that they are equal to each other. So, M=116˚

Answer:

Hello your question is incomplete attached below is the complete question and solution as well as the detailed solution

Step-by-step explanation:

The total change in elevation as represented in the number line is

600 - 600 = 0 ( sea level )

below sea level = 0 - 200 = -200 (where the famous boulder is located)

-200 -400 = - 600 feet ( bottom of canyon)

Answer:

40% of every gallon is from green paint.

Step-by-step explanation:

Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:

60 = 100

24 = X

24 x 100/60 = X

2,400 / 60 = X

40 = X

Therefore, 40% of every gallon is from green paint.

Answer:

Area of square = side^2

(2x+1)(2x+1) = (2x+1)²

= (2x)²+2·2x·1+1²

= 4x²+4x+1

The solution to the system of equations is (-6, -9).

Given y=2x+3,

we are to find the solution to the system of equations.

In order to find the solution to the system of equations,

we require another equation in the system.

The system of equations is:

y = 2x + 3 ...

(1)Let's assume another equation:y - 3x = 9 ...

(2)The given system of equations is:

y = 2x + 3 ... (1)y - 3x = 9 ...

(2)Substituting equation (1) into equation (2), we get:

(2x + 3) - 3x = 9 => -x + 3 = 9 => -x = 9 - 3 => -x = 6 => x = -6

Therefore, substituting this value of x in equation (1), we get:

y = 2x + 3 => y = 2(-6) + 3 => y = -12 + 3 => y = -9

Therefore, the solution to the given system of equations is (-6, -9).

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Answer:

108

Step-by-step explanation:

The measure of interior angle after a 9\(0^{o}\) rotation is 10\(8^{o}\)

In the pentagon, the sum of the interior angles is equal to 540°. If all the sides are equal and all the angles are of equal measure, then it is a regular pentagon. Otherwise, it is irregular. In the regular pentagon, each interior angle measures 108°, and each exterior angle measures 72°.

according to the question

After rotation the size of the interior angle stays the same.

10\(8^{o}\) = 10\(8^{o}\)

Hence, the measure of interior angle after a 9\(0^{o}\) rotation is 10\(8^{o}\)

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Answer:

(i) A∩B = {2,4}

(ii) I don't know how to attach pictures in brainly so i can't send the veen diagram

Answer: Ryan had a head start of 10 meters.

Step-by-step explanation:

Ryan has a 10 m head start then Nina.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Nina Run from the graph

T         D

4        32

6        48

8        64

10      80

For every 2 Secs, there is a distance of  16 m

Hence Speed = Slope = 16/2 = 8m /s

y - 32 = 8 (x - 4)

=> y = 8x

at x = 0  ( 0 times)

Distance = 0 m

Ryan  Run from the table

T         D

4        35

6        47.5

8        60

12.5 m for every 2 sec

Speed = slope = 12.5/2 = 25/4

\(y - 35 = (25/4)(x - 4)\\= > 4y - 140 = 25x - 100\\= > 4y = 25x + 40\\at x = 0\\= > y = 10\\\)

Hence Ryan had a head start of 10 m

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We need the actual percentage of adults who do not work during summer vacation and additional information such as the sample size, specific values for x, or any other relevant details.

Let's solve the problem step by step:

a) To complete this part, we need the actual percentage of adults who do not work at all during summer vacation. Please provide that information.

b) Assuming the percentage of adults who do not work during summer vacation is p, we can express this as a probability. Let x represent the number of adults who do not work. Since it's a random sample, we can model x as a binomial random variable. The probability of an adult not working is p, so the probability mass function of x is given by:

P(x) = C(n, x) * p^x * (1-p)^(n-x)

Where n is the sample size. Since the question doesn't specify the sample size, we can't provide an exact probability.

c) Assuming you provide the value of p, we can calculate the probability for a specific sample size n and number of adults who do not work x using the formula from part b. For example, if p = 0.25, n = 100, and x = 30, we can substitute these values into the formula and calculate the probability.

d) To calculate the expected value of x, we multiply each possible value of x by its corresponding probability and sum them up. This can be expressed as:

E(x) = Σ(x * P(x))

e) The conclusion will depend on the specific values of p, n, and x, as well as the results obtained from the calculations in parts b, c, and d. Without the actual percentage or values for p, n, and x, it's not possible to draw a specific conclusion.

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The hypothesis that should be written as an inequality is B. the alternative hypothesis.

The alternative hypothesis is a statement that contradicts the null hypothesis and is used to determine if there is a significant difference between two variables. It is often written as an inequality to show that there is a difference between the two variables being tested.

For example, if we are testing whether a new drug is more effective than a placebo, the alternative hypothesis would be written as "the new drug is more effective than the placebo," or in inequality form, "the effectiveness of the new drug > the effectiveness of the placebo."

In contrast, the null hypothesis is a statement that there is no significant difference between the two variables being tested. It is usually written as equality, such as "the new drug is equally effective as the placebo," or "the effectiveness of the new drug = the effectiveness of the placebo."

Therefore, the alternative hypothesis is the one that should be written as an inequality.

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In the situation, the number of bacterias are doubling for each sheet of paper cut, thus, the exponential equation for the puber is:

\(f(n) = 2^n\)

Initially, there was only one sheet of paper. Then, each sheet is cut in half, so we will have 2 sheets, then 4 sheets, then 8 sheets, and so on. That is, the number of sheets is continuously doubling, thus, the population after n cuts can be modeled by the following exponential equation:

\(f(n) = 2^n\)

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Pie charts are effective in conveying percentages and are commonly used in data analysis and presentations.

The true statement about pie charts is that they are effective in showing percentages. Pie charts are a common data visualization tool used to represent proportions or percentages of a whole.

The chart is divided into slices, with each slice representing a specific category or data point. The size of each slice is proportional to the percentage it represents within the whole.

This visual representation makes it easier for viewers to understand the distribution and relative proportions of different categories or variables. Pie charts are therefore frequently used in data analysis and presentations because they are good at communicating percentages.

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Answer:

infinite number of solutions

Step-by-step explanation:

x - 2y = 1 ( add 2y to both sides )

x = 1 + 2y → (1)

3x - 6y = 3 → (2)

substitute x = 1 + 2y into (2)

3(1 + 2y) - 6y = 3 ← distribute parenthesis on left side and simplify

3 + 6y - 6y = 3 ( subtract 3 from both sides )

0 = 0 ← true statement

this indicates the system has an infinite number of solutions

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

We can't use any of the pattern

Answer:

Width is 3 length is 9 :)

Step-by-step explanation:

I'm doing this stuff right now

Length of Line BE = √40 units  

The length of a line segment is nothing but the shortest distance between two endpoints of the line segment. If we know the endpoints of a line segment,  We can determine the length of the line segment using the distance formula. The formula for distance is given below  

Where, (x₁, y₁) and (x₂, y₂) are end points of line segment

Here we have

A graph in which b and e are located

From the graph, we can take b (7, 6) and e (5, 0)

And the length of BE = distance between b and e

As we know the formula for the distance between 2 points is given

Distance = √(y₂- y₁)² + (x₂ - x₁)²

Length of BE = √(0 - 6)² + (5 - 7)²  

= √(- 6)² + (- 2)² = √36 + 4  = √40  

Therefore,

Length of Line BE = √40  units

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The 0.9 quantile, also known as the 90th percentile, is a measure used in statistics to indicate the value below which a certain percentage of observations in a data set falls.

Specifically, the 0.9 quantile represents the value below which 90% of the data falls, and above which only 10% of the data falls.

For example, if we have a data set of test scores for a class of 50 students, the 0.9 quantile score would be the score below which 90% of the students scored, and above which only 10% of the students scored.

This measure is useful in analyzing data sets and can provide information about the distribution of the data, such as whether it is skewed or symmetric, and can also be used to compare different data sets.

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Marcus is accurate. Jeremy is wrong because he overlooked the negative sign in the equation's initial addend. Since -25 has a greater absolute value than 3, it is obvious that the sum should be negative.

Marcus is correct; the solution is -22.

The simplified expression is given as:

= -(5²)+ 3

= -(25) + 3

= - 22

The right response is this. Marcus saw the bracket or parentheses symbol when he condensed his sentence. This has major significance.

Jeremy scored 28. He squared -5 without noting that it was in a bracket or parenthesis, therefore his response is incorrect.

Consequently, Jeremy calculated this.

= -(5²) + 3

= 25 + 3

= 28

Jeremy gave a false response. He made a computation but failed to see the bracket.

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Complete Question

Marcus and Jeremy both evaluated the expression −(5²) + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.

Answer:

Y= 2X

Step-by-step explanation:

The Y intercept is 0, therefore it would not have a "b" if it were in the form y=mx+b.

The line is going right, so it's positive. From 0, the line goes over 2, up 2, so the slope is 2.

The range of the set of scores is 13.

Here,

The set of scores:

7, 8, 11, 15, 17, 20

We have to find the range of the set of scores.

What is Range of set?

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.

Now,

The highest number = 20

The lowest number = 7

Hence, Range of the data set = 20 - 7 = 13

So, The range of the set of scores is 13.

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0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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Answer:

p would equal 4

p=4

Step-by-step explanation:

I don't know if it was squared by p.

Answer:

p=4

is it?

this is the answer I guess.

We can write the quadratic equation as -

y = 3(x - 2)² - 7.

A function is a relationship between a dependent {y} and independent variable {x}.

An expression is a combination of terms both constants and variables.

Given is the quadratic function as shown in the image.

The general equation of a quadratic equation is -

y = ax² + bx + c

We can writ the equation of a parabola from the vertex as -

y = a(x - h)² + k

We have (2, - 7) as the coordinates of vertex. So, we can write -

y = a(x - 2)² - 7

For the point (3, - 4), we can write -

- 4 = a(3 - 2)² - 7

- 4 = a x 1 - 7

a = - 4 + 7

a = 3

So, we can write the quadratic equation as -

y = 3(x - 2)² - 7

Therefore, we can write the quadratic equation as -

y = 3(x - 2)² - 7.

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The statement Count = Count + 2 assigns the value of the Count variable to itself, incremented by two. Therefore, the answer to the question is B) 25.

We are given the initial value of the Count as 23. The statement Count = Count + 2 assigns the value of the Count variable to itself, incremented by two.

This implies that the value of Count is 23+2= 25 after the statement is executed.

In other words, the right-hand side of the equals sign is evaluated before the value is assigned to the left-hand side of the equals sign.

In this case, the right-hand side is Count + 2, which is equal to 23+2= 25.

The value 25 is then assigned to the variable Count on the left-hand side of the equals sign.

As a result, the value of Count after executing the statement Count = Count + 2 is 25.

Thus, option B) 25 is the correct answer to the given question.

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Answer:

The correct answer is A: 4/5

Step-by-step explanation:

We would divide 24/30 and get 4/5

When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.

It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.

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