Justice needs 24 feet of fencing to surround his garden.The fencing is priced ＄0.25 per inch. How much will it cost justice to fence in his garden?

a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:

\(P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831\)

b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:

\(P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032\)

c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.

The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:

\($$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$\)

d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:

\(P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001\)

This probability is extremely small, so it can be considered unusual and not typical variation.

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Answer:

$1,500

Step-by-step explanation:

Step-by-step explanation:

use formula to find hypotenuse

\( \sqrt{ {(a)}^{2} } + {(b)}^{2} = c\)

it will be

square root (11)² + (5)² = c

square root 121 + 25 = c

square root 146 = c

12.08 = c

LM = 12.08

Answer:

11

Step-by-step explanation:

To find LM we need PM. We can use the Pythagorean Theorem:

Now using the Pythagorean Theorem, we can find LM:

Or you could have seen that triangle LPM is congruent to triangle NPM by SAS (5, 90º, and PM) so LM=NM=11.

Answer: For this one, I'll use y=mx+b because that equation make the most sense in this scenario.

A) X is the number of hours, and 15, or b is the tip

B) y= 30x + 15.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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Answer:

Answer below

Step-by-step explanation:

Slope=0.400/2.000 or 0.2

X-Intercept=15/1 or 15

Y-intercept=15/-5 or 3/-1 or -3

Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:400

Step-by-step explanation:it didn’t say it gives away and souvenirs so the 6$ can be out the equation and 4000 divided by 10 is 400

The number of tickets that must be sold to break even is 1000 if at a local ballpark a team charges $10 per ticket the team must pay its players $4000.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is:

At a local ballpark, a team charges $10 per ticket. The team must pay its players $4000. It costs the owners $6 for each souvenir they give away.

How many tickets must be sold to break even.

Let x be the number of tickets.

Let y be the total cost

From the data given in the question we can frame the linear equation in two variables:

y = 6x + 4000

y = 10x

After solving the above two linear equations in two variables.

6x + 4000 = 10x

10x - 6x = 4000

4x = 4000

x = 1000

Thus, the number of tickets that must be sold to break even is 1000 if at a local ballpark a team charges $10 per ticket the team must pay its players $4000.

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Answer:\(26\frac{7}{12}\)

Step-by-step explanation:

2 1/5 * 12 1/2 = 319/12

319/12 = \(26\frac{7}{12}\)

Answer:

58 campers,

Step-by-step explanation:

you do 200 - 25 then 175 divided by 3

The instantaneous rate of change of y = √x at x = 2 is √2 / 2.

To find the instantaneous rate of change of y = √x at x = 2, we need to calculate the derivative of the function with respect to x and evaluate it at x = 2.

Taking the derivative of y = √x using the power rule for differentiation, we have:

dy/dx = (1/2) × x^(-1/2)

Now, substituting x = 2 into the derivative expression:

dy/dx = (1/2) × 2^(-1/2)

= (1/2) × √2

= √2 / 2

Therefore, the instantaneous rate of change of y = √x at x = 2 is √2 / 2.

None of the provided options (-1/2, -1/4, -1) are the correct instantaneous rate of change at x = 2.

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Using translation concepts, the transformations are described as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is:

\(f(x) = 2^x\)

The transformed function is:

\(g(x) = -2^x + 4\)

We have that the transformations in this problem can be described as follows:

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Answer:

x = 4.8

Step-by-step explanation:

since the quadrilaterals are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{MJ}{DA}\) = \(\frac{LM}{CD}\) ( substitute values )

\(\frac{x}{6}\) = \(\frac{2.4}{3}\) ( cross- multiply )

3x = 6 × 2.4 = 14.4 ( divide both sides by 3 )

x = 4.8

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

5 carrots are left over.

Step-by-step explanation:

6 times 7 equals 42. 47 minus 42 is 5.

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

C) 45-38

Step-by-step explanation:

The reason why this is your answer is because if we subtract, the answer is less than 12.

Thanks!

Answer:

3x = 15

x = 15÷3

x = 5

proof = 3×5=15

Step-by-step explanation:

Hope this helps you!!

Answer:

Step-by-step explanation:

So there are two types of variables we need to focus on, the first is the dependent variable, the second is the independent variable ( which is the one in question).  You asked about it in relation to mathematics, although even across the board, in science they both really mean the same thing. Here's an example, say you are taking a test, and the rubric for grading the test is 5 points (p) for every question (q) answered correctly. So given that information you can conclude that (p) is equal to 5 x the amount of questions you got right (p = 5q). The amount of points in this equation relies on how many questions you get right, you can't logically say that question (q) is equal to 5 points (p), because the questions don't depend on the points, the points depend on the amount of questions you get right. So that means since the points (p) depend on the # of questions you answered correctly, it is the dependent variable, there for by process of elimination you're independent variable is (q) since they don't rely on the points, the points rely on the questions. It all boils down to how well you can recognize this, and how complicated your question is, but hopefully this provided some insight.

The ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.

From the given linear functions, the ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

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The standard deviation is 4.0, while mean is 10.2.

Data dispersion in regard to the mean is quantified by a standard deviation, or. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Mean = 10.2

The standard deviation is 4.0.

Age in the mean is the average age.

Mean = (16 + 10 + 5 + 7 + 13)/5

Mean = 51/5 = 10.2

The variance's square root will reveal the standard deviation.

(16 - 10.2) + (10 -10.2) + (5-10.2) + (7-10.2)+( 13-10.2) ( 13-10.2)

5.8 + 0.2 -5.2 - 3.2 + 2.8

each number into squares

33.64 + 0.04 + 27.04 + 10.24 + 7.84

Variation: 78.8/5 = 15.76

Standard deviation = 3.969 = 4.0.

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The complete question is,

16, 10, 5, 7, 13

What is the porcupines' typical age based on your sample? Where can I find the standard deviation? in a circle tenths of a percent, closest.

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

Answer:

4000 and 7000

Step-by-step explanation:

Answer:

430

Step-by-step explanation:

The "product" means multiply

215*2=430 or you can break it up:

215+215=430

Answer: 430

→Hope this helps!←

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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Answer:

the last one

is/of = x/100

12/20 = x/100

20x = 1200

x = 60% students would rather ride a bike

Step-by-step explanation:

The last pie graph best represents the given scenario. The correct option is D.

A circular statistical visual with slices illustrating numerical proportion is called a pie chart. Each slice's arc length in a pie chart corresponds to the quantity it represents.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that twelve out of twenty students say they would rather ride a bike than walk to school. The correct fraction represented on a pie graph will be calculated as below:

12/20 = x/100

20x = 1200

x = 60%

Therefore, the last pie graph best represents the given scenario. The correct option is D.

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Answer:

what we have to find or to prove.

Answer:

-9/2

Step-by-step explanation: