A farmer bought a number of pigs for $182. However, 4 of them died before he could sell the rest at a profit of 10 per pig. His total profit was $192. How many pigs did he originally buy?

Answer: $26

Step-by-step explanation:

Since the 7 tickets cost $168, the value of each ticket will then be:

= $168/7

= $24

Each ticket cost $24

If one friend gave him $50, the change that the friend will collect will be:

= $50 - $24

= $26

Therefore, Edward should return $26 to the person.

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

Based on the information given the rate of increase is 55%.

Rate of increase:

Using this formula

Rate of increase=Stock value per share/Number of shares of stock×100

Where:

Stock value per share=$55 per share

Number of shares of stock=100 shares

Let plug in the formula

Rate of increase=$55/100×100

Rate of increase=55%

Inconclusion the rate of increase is 55%

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1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

The predicted population in the year 2030 is 10 people

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

Answer:

Hence, the data provides convincing evidence that a linear relationship exists between hours of sleep observed and academic performance as measured by GPA.

Step-by-step explanation:

Given the data:

Sleep (hrs) 9 8.5 9 7 7.56 7 5.5 6 8.5 6.5 8

GPA 3.8 3.3 3.5 3.6 3.4 3.3 3.2 3.2 3.2 3.4 3.6 3.1 3.4 3.7

The scatter plot shows a positive linear trend. With the correlation Coefficient depicting a R value of 0.56. The residual plot also depicts a a randomly scattered values of the residual values. Similarly, a plot of the normal values of  residuals

The data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have given data of the 14 seniors shown in the table.

To solve this question we will calculate the correlation coefficient 'r'

The formula for correlation coefficient :

\(\rm r =\frac{n\sum xy-\sum x \sum y}{\sqrt{[n\sum x^2-(\sum x)^2]}[n\sum y^2-(\sum y)^2]} }\)

From the table the value of n = 14

\(\rm \sum x = 104.5\) , \(\rm \sum y =47.7\) , \(\rm \sum xy =357.8\) , \(\rm \sum x^2 =797.25\) , \(\rm \sum y^2 =163.09\)

Put all the values in the above formula we get:

\(\rm r =\frac{14\times357.8-104.5 \times47.7}{\sqrt{[14\times 797.25-104.5^2][14\times163.09-47.7^2]} }\)

\(\rm r = \frac{5009.2-4984.65}{\sqrt{(241.25)(7.97)} }\)

\(\rm r = \frac{24.55}{43.849}\)

r = 0.559 ≈ 0.56

The value of the correlation coefficient is 0.56 which is between the values 0.5 to 0.7 shows that the variables are moderately correlated.

Thus, the data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

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Answer:

250

Step-by-step explanation:

Answer:

C becausee I'm trying to help

Answer:

the answer is -352..........

Answer:

the range is all the y values or output values.

Step-by-step explanation:

example

x y

1 2

2 4

3 6

4 8

range=(2,4,6,8)

Answer:

A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 16.5, \sigma = 0.2\)

What chip amount represents the 67th percentile for the bag weight distribution

This is X when Z has a pvalue of 0.67, so X when Z = 0.44.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.44 = \frac{X - 16.5}{0.2}\)

\(X - 16.5 = 0.44*0.2\)

\(X = 16.59\)

A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution

Using the normal distribution concept, the chip amount which corresponds to the 67th percentile is 16.59

Using the concept of normal distribution :

The 67th percentile is defined as :

P(Z < 0.67) ; Using a normal distribution table, the corresponding Zscore value is 0.44

Substitute into the Zscore relation and solve for the score, X :

0.44 = (X - 16.5) / 0.2

Cross multiply

0.44 × 0.2 = (X - 16.5)

0.088 = X - 16.5

0.088 + 16.5 = X

X = 16.588

Therefore, the chip amount is 16.59.

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Answer:

see below

Step-by-step explanation:

C=2\(\pi\)r

76=2\(\pi\)r

r=\(\frac{76}{2\pi }\)=38\(\pi\)= 119.380520836

diameter: d=2(radius)=2(119.380520836)= 238.761041672

area= \(\pi (r)^{2}\)=\(\pi\)(119.380520836)^2= 14251.70855\(\pi\)

The limit of the given function as x approaches 1 is 0.

To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:

1. Begin by substituting x = 1 into the numerator:

\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)

2. Now, substitute x = 1 into the denominator:

(1³ + 5)(1 - 1) = 6(0) = 0

3. Finally, divide the numerator by the denominator:

0/0

The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:

4. Take the derivative of the numerator:

\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)

5. Take the derivative of the denominator:

\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)

6. Substitute x = 1 into the derivatives:

Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)

Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6

7. Now, reevaluate the limit using the derivatives:

lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)

= 0 / 6

= 0

Therefore, the limit of the given function as x approaches 1 is 0.

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Answer:

27

Step-by-step explanation:

let us assign variables and create an equation

15x+14x=29x=6003

x=27

thanks

The number of additional red marbles to be added to the total 24 marbles present in the bag is 16 marbles.

What is Probability?

From the question, it is given that the,

Number of Red marbles = 8

Number of Yellow marbles = 9

Number of Green marbles = 7

So, the total number of marbles = 8 + 9 + 7 = 24

Let \(x\) be the additional number of red marbles added to the bag.

The total number of red marbles after the addition of \(x\) red marbles into the bag = \(8+x\)

The total number of all marbles after the addition of \(x\) red marbles into the bag = \(24+x\)

The probability of randomly drawing a red marble is given as equal to \(\frac{3}{5}\)

We know that, the probability of randomly drawing a red marble is equal to the ratio of the total number of red marbles to the total number of all marbles.

---> P(R) = n(R)/n(T)

Substituting the given values, we get

3/5 = 8+x / 24+x
---> 5(8+x) = 3(24+x)
---> 40 + 5x = 72+3x

Solving, we get

5x - 3x = 72 - 40
---> 2x = 32
---> x = 16

Therefore, the additional number of red marbles to be added to obtain the required probability is equal to 16.

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

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

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:3/2

Step-by-step explanation: so you have the number of cups of Chex Mix in the bag is 3x = 3*9 = 27 cups and the number of cups of chocolate chips is 2x = 2*9 = 18 cups. Indeed, we see that 27 + 18 = 45 and 27/18 = 3/2 as required.

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

Answer: x=-1°

Step-by-step explanation:

m∠LMP=x°+73°     m∠PMN=81°+x°     m∠LMN=152°      x=?

m∠LMP+m∠PMN=m∠LMN

x°+73°+81°+x°=152°

2x°+154°=152°

2x°+154°-154°=152°-154°

2x°=-2°

Divide both parts of the equation by 2:

x°=-1°

Answer:

\( \displaystyle \large{y = \frac{1}{4} x + 1}\)

Step-by-step explanation:

Whenever you solve a word problem, our first step is to read and gather the information we find.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept

After reading the context, what do we know?

We finally have the information — our first step is to write our slope-intercept equation.

\( \displaystyle \large{y = mx + b}\)

We know that m is slope which is 1/4 — substitute in the equation.

\( \displaystyle \large{y = \frac{1}{4} x + b}\)

We have used the two information which are a slope of 1/4 and slope-intercept equation.

That only leaves to one information which is a line that passes through (-8,-1).

Since the graph has to pass through the point, we substitute x = -8 and y = -1.

\( \displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}\)

After using all information, it seems that we are solving for b-term or y-intercept.

\( \displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}\)

From above — cross-division.

\( \displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}\)

Add both sides by 2 to isolate b-term.

\(\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}\)

Therefore, the value of b is 1. From the equation:

\( \displaystyle \large{y = \frac{1}{4} x + b}\)

Substitute b = 1 in the equation.

\( \displaystyle \large{y = \frac{1}{4} x + 1}\)

And we're done!

ANSWER

EXPLANATION

The slope-intercept equation of a straight line is of the form\(\sf{}y = mx + b\)

Where,

'm' is the slope

'b' is the y-intercept

From the question we have slope to be

\(\sf{}m = \frac{1}{4}\)

We substitute the slope into the slope-intercept equation and obtain:

\(\sf{}y = \frac{1}{4}x + b\)

To find the value of 'b' we plug in the point (-8,-1) into our current equation.

\(\sf- 1= \frac{1}{4}( - 8)+ b\)

\(\sf- 1= - 2+ b\)

\(\sf- 1 + 2 = b\)

\(\sf{}b= 1\)

The complete equation is

Find his rate:

120 / 15 = $8 per hour

Multiply the rate by hours:

$8 x 20 hours = $160

He will earn $160

Answer:

12 acres

Step-by-step explanation:

30+45+5 = 80 so theres 20% left.

20% of 60 is 12