On an average day, a horse might drink 50 L, a sheep might drink 4 L, and a chicken might drink 200 mL. How much water would a farm with 3 horses, 15 sheep, and 12 chickens need for a day?

With 95% confidence that the true population mean weight of the sardine cans is between 7.813 oz and 7.887 oz.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

here, we have,

In this scenario, we have a cannery that claims their sardine cans have a net weight of 8 oz. We want to test this claim by taking a simple random sample of 30 cans and measuring their weights

From our sample of 30 cans, we calculated a sample mean of 7.85 oz and a standard deviation of 0.1 oz. The sample mean is an estimate of the population mean, and the standard deviation tells us how much the weights in our sample vary from the mean.

To determine the cutoff values for the middle 95% of the mean weights in this distribution based on the sample data, we can use the t-distribution with n-1 degrees of freedom. The degrees of freedom in this case are 29, which is one less than the sample size.

Using a t-distribution table or calculator, we can find the t-value for a 95% confidence level with 29 degrees of freedom, which is approximately 2.045. We can use this t-value to calculate the margin of error for the sample mean as:

margin of error = t-value * (standard deviation / square root of sample size)

= 2.045 * (0.1 / √(30))

= 0.037

The margin of error tells us how much the sample mean is likely to vary from the true population mean. To find the cutoff values for the middle 95% of the mean weights, we add and subtract the margin of error from the sample mean as follows:

lower cutoff value = sample mean - margin of error

= 7.85 - 0.037

= 7.813

upper cutoff value = sample mean + margin of error

= 7.85 + 0.037

= 7.887

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The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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A: no se

B: 200 pesos x 4 semanas  = 800

C: jose  por que eso significa no se :(

D:  Por que son 900 alumnos  y se va 700 de excurcion eston se va el 70% de excurcion

Answer:

The probability that at most 26 people out of the 300 surveyed say their favorite sport is auto racing is approximately 0.8750 or 87.50%.

Step-by-step explanation:

To solve this problem, we'll use the normal approximation to the binomial distribution.

Step 1: Determine the mean and standard deviation.

Mean (µ) = n * p = 300 * 0.07 = 21

Standard deviation (σ) = √(n * p * (1-p)) = √(300 * 0.07 * 0.93) ≈ 4.34

Step 2: Calculate the z-score. z = (x - µ) / σ = (26 - 21) / 4.34 ≈ 1.151

Step 3: Use a z-table to find the probability corresponding to the z-score. The probability for z = 1.151 is 0.8750.

Step 4: Since we want the probability that the number of people who say their favorite sport is auto racing is at most 26, the result from the z-table is the final answer i.e. Probability = 0.8750

So, the probability that at most 26 people out of the 300 surveyed say their favorite sport is auto racing is approximately 0.8750 or 87.50%.

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a) The probability of selecting two different colors is obtained as 9/10.

b) The probability of not selecting a yellow marble is obtained as 3/20.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

a) To find the probability of selecting two different colors, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.

So the probability of selecting two different colors can be found by calculating the probability of selecting two marbles of the same color and subtracting that from 1.

The probability of selecting two marbles of the same color from the first bag is (2/5) x (1/4) = 1/10, since there are 2 red marbles out of 5 total marbles in the bag, and the probability of selecting a second red marble is 1/4.

The probability of selecting two marbles of the same color from the second bag is 0, since there is only one marble of each color.

So the probability of selecting two different colors is -

1 - (1/10 + 0) = 9/10

Therefore, the probability value is 9/10.

b) To find the probability of not selecting a yellow marble, we can again use the complement rule.

The probability of not selecting a yellow marble is equal to 1 minus the probability of selecting a yellow marble from either bag.

The probability of selecting a yellow marble from the first bag is 1/5, since there is one yellow marble out of 5 total marbles in the bag.

The probability of selecting a yellow marble from the second bag is also 1/4, since there is one yellow marble out of 4 total marbles in the bag.

So the probability of not selecting a yellow marble is -

1 - (1/5 + 1/4) = 3/20

Therefore, the probability value is 3/20.

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Answer:

triangle

Step-by-step explanation:

The cross section must be a vertical cross section that includes the vertex of the pyramid.

Answer: triangle

Answer:

I believe that it is b

Step-by-step explanation:

But correct me if i am wrong! Have a nice day!

Answer:

B. ) 3 over 4 and space 5 over 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 9 degrees Celsius, 0 degrees Celsius, -4 degrees Celsius, -12 degrees Celsius

Step-by-step explanation:

Greatest is from Highest to lowest so from 9,0-4,-12 is the correct order

Overall, the testing facility concluded that the brush tee would be a better option for golfers looking to improve their drives.

An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One DFX driver was used to hit the balls, with an average swing speed of 100 miles per hour. The testing facility wanted to determine which tee would perform better and whether it would be beneficial to golfers to switch to a different tee.

The two different types of tees were the brush tee and the 4 Yards More tee. The brush tee is designed with bristles that allow the ball to be suspended in the air, minimizing contact between the tee and the ball. This design is meant to reduce spin and allow for longer and straighter drives. On the other hand, the 4 Yards More tee is designed to be more durable than traditional wooden tees, and its design is meant to create less friction between the tee and the ball, allowing for longer drives.

The testing results showed that the brush tee was able to create longer and straighter drives than the 4 Yards More tee. This is likely due to the brush tee's design, which allows for less contact with the ball, minimizing spin and creating longer and straighter drives.

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The value of a is \(1 +/- sqrt(16 - 16a).\)

Let’s begin by writing out the given equation: \(ax3 + x2 – 2x + 4a – 9\). We can rearrange this equation to make it easier to solve: (x+1)(ax2 -2a + 4). This indicates that (x+1) is a factor of the equation, and thus we can set the equation equal to 0. By doing so, we can solve for a.

We can now write this equation as 0 = ax2 -2a + 4. We can use the quadratic equation to solve for a. We first need to calculate the discriminant, which is equal to b2 - 4ac. In this case, b2 is (-2)2 = 4 and ac is a(4) = 4a. Thus, the discriminant is equal to 4 - 16a.

Next, we can solve for a using the quadratic equation. The equation is: \(a = [-b +/- sqrt(b2 - 4ac)]/2a\). In this case, \(a = [-(-2) +/- sqrt(4 - 16a)]/2\). By simplifying, we get \(a = [2 +/- sqrt(16 - 16a)]/2.\) This can be further simplified to a = 1 +/- sqrt(16 - 16a). Therefore, the value of a is∀⊅\(1 +/- sqrt(16 - 16a).\)

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Answer:

multiplication

Step-by-step explanation:

when you will multiple both numerator and denominator by same number then you will get another fraction which will equivalent to that one

=> for example = 5/6 *2/2 = 10/12

hope it helps

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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Answer:

x = 73

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define equation

(180 - x) + (90 - x) = 124

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

They lie in different planes and will never intersect.

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……...…....../ . . . . . .¯,_ ~--~’,, . . .'\.................

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The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

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8.) The properties of a regular hexagon include the following: It has 6 equal sides and 6 equal angles, It has 6 vertices, Sum of interior angles equals 720°, Interior angle is 120° and exterior angle is 60°.

9.) The regular decagon has the following properties:

it has 10 sides of the same length.

it has 10 angled of the same size.

it has 10 lines of symmetry.

A polygon which may be regular or irregular that has various number of sides, angles and limes of symmetry.

A hexagon is a type of polygon that has 6 equal sides and 6 equal angles.

A decagon is a type of polygon that has 10 equal sides and 10 equal angles.

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Answer:

The answer is below

Step-by-step explanation:

The growth of the bacteria is in the form of an exponential growth. It is given by the formula:

\(P(t)=ae^{rt}\\\\where\ t\ is\ the\ number\ of \ hours, P(t)\ is\ the \ population\ at\ t\ hours\\\and\ a=population\ at\ start\)

At 2 hours, the population is 62 cells, hence:

\(P(2)=ae^{2r}\\\\62=ae^{2r}\ \ .\ \ .\ \ .\ (1)\)

After another 2 hours (4 hours), the population is 1 million:

\(P(4)=ae^{4r}\\\\1000000=ae^{4r}\ \ .\ \ .\ \ .\ (2)\\\\Divide \ equation\ 2\ by\ equation\ 1:\\\\\frac{1000000}{62}=\frac{ae^{4r}}{ae^{2r}} \\\\16129=e^{2r}\\\\ln(e^{2r})=ln(16129)\\\\2r=9.688\\\\r=4.844\)

Put r = 4.844 in equation 1

\(62=ae^{2*4.844}\\\\62=16129a\\\\a=0.003844\)

\(P(t)=0.003844e^{4.844t}\\\\at \ start,t=0\\\\P(0)=0.003844\)

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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The last equation implies that F is a conservative vector field with the scalar potential f(x, y, z).

Suppose that F: RS R' is a vector field, and the component functions of F have continuous partial derivatives.

The curl of F is curl(F) = 0.

Then, F is a conservative vector field. (Recall that 0 = (0,0,0)).

To begin with, let F = (P, Q, R) be a vector field, which is a map from RS to R' defined by the following set of equations, F(x, y, z) = (P(x, y, z), Q(x, y, z), R(x, y, z)).

According to the given statement, the component functions of F have continuous partial derivatives.

Thus, the following equations hold:true
Partials of P exist and are continuous.true
Partials of Q exist and are continuous.true
Partials of R exist and are continuous.

Using the definition of the curl of F,

we have:curl(F) = (Ry - Qz, Px - Rz, Qx - Py)Since curl(F) = 0, it follows that:Ry - Qz = 0Px - Rz = 0Qx - Py = 0

We need to show that F is a conservative vector field. A vector field F is conservative if and only if it is the gradient of a scalar field, say f. In other words, F = grad(f) for some scalar function f.

Let us assume that F is conservative.

Then, we have:

F = grad(f) = (∂f/∂x, ∂f/∂y, ∂f/∂z)

By definition, curl(F) = (Ry - Qz, Px - Rz, Qx - Py).

Therefore, we can write:

Ry - Qz = (∂(Px)/∂z) - (∂(Qx)/∂y)Px - Rz = (∂(Qy)/∂x) - (∂(Py)/∂z)Qx - Py = (∂(Rz)/∂y) - (∂(Ry)/∂x)

Now, we can solve these equations for Px, Py,

and Pz:Pz = ∫(Ry - Qz)dx + g(y, z)Px = ∫(Qx - Py)dy + h(x, z)Py = ∫(Px - Rz)dz + k(x, y)Here, g(y, z), h(x, z), and k(x, y) are arbitrary functions of their respective variables, that is, they depend only on y and z, x and z, and x and y, respectively.

Since the component functions of F have continuous partial derivatives, we can use the theorem of Schwarz to show that Px = (∂f/∂x), Py = (∂f/∂y), and Pz = (∂f/∂z) are all continuous.

This means that g(y, z), h(x, z), and k(x, y) are all differentiable, and we can write:

g(y, z) = ∫(Ry - Qz)dx + C1(y)h(x, z) = ∫(Qx - Py)dy + C2(x)k(x, y) = ∫(Px - Rz)dz + C3(y)

Since we can take the partial derivative of f with respect to x, y, or z in any order, it follows that the mixed partial derivatives of g(y, z), h(x, z), and k(x, y) vanish.

Hence, they are all constant functions. Let C1(y) = C2(x) = C3(z) = C. Then, we have:

f(x, y, z) = ∫P(x, y, z)dx + C = ∫Q(x, y, z)dy + C = ∫R(x, y, z)dz + C

The last equation implies that F is a conservative vector field with the scalar potential f(x, y, z).

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Answer: (-13, -3), (-1, 0), and (7, 2).

Step-by-step explanation:

First, we have a function f(x) and we know that 3 points (x, y) of this function are:

(-3, -13), (0, -1), and (2, 7).

Now, if we have a function g(x) and we know that g(x) is the inverse of f(x), we have that:

g(f(x)) = x.

this means that if f(x) = y then g(y) = x.

then if (-3, -13) is a point in the f(x) graph, (-13, -3) must be a point in the g(x) graph.

Then 3 points in on the inverse of the function f(x) are:

(-13, -3), (-1, 0), and (7, 2).

Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.

A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.

Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.

Therefore, option D is correct.

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Answer:

a = 5.3

Step-by-step explanation:

Plug the length of the other two sides into the Pythagorean Theorem and solve.

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = √28

a = 5.291502622 ⇒ 5.3 (to the nearest tenth)

The length of "a" is 5.3.

Hope that helps.

the probability is 68‰

For the normal distribution,

The scores on standardized admissions tests are normally distributed with a mean of 500

Mean (μ)=500

standard deviation(σ)=100

The probability that scores lies between 400 and 600  i.e, P(400

For the standard normal distribution curve

Z=(x-μ)/σ

(400-500)/100<(x-μ)/σ<(600-500)/100

-1

For standard normal distribution mean shifted to zero,  P(x)dx=1/(sqrt(2pi))e^(-z^2/2)dz.

so the probability would be 68‰

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Answer:

4 and 3/4 YOU GOT THIS!!

Step-by-step explanation:

Answer:

I believe the answer would be 1/2 a centimeter per week, hope this helps

There are 60 ways of selecting 5 balls from the bag, consisting of 3 red balls and 2 blue balls.

To calculate the number of ways, we can break it down into two steps:

Selecting 3 red balls

Since there are 6 red balls in the bag, we need to calculate the number of ways to choose 3 out of the 6. This can be done using the combination formula: C(n, r) = n! / (r! * (n - r)!), where n is the total number of items and r is the number of items to be chosen. In this case, we have C(6, 3) = 6! / (3! * (6 - 3)!), which simplifies to 6! / (3! * 3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20.

Selecting 2 blue balls

Similarly, since there are 5 blue balls in the bag, we need to calculate the number of ways to choose 2 out of the 5. Using the combination formula, we have C(5, 2) = 5! / (2! * (5 - 2)!), which simplifies to 5! / (2! * 3!) = (5 * 4) / (2 * 1) = 10.

To find the total number of ways, we multiply the results from Step 1 and Step 2 together: 20 * 10 = 200.

Therefore, there are 200 ways of selecting 5 balls from the bag, consisting of 3 red balls and 2 blue balls.

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Answer: B

Step-by-step explanation: Hope this help :D

Answer:

5

Step-by-step explanation:

The expression in one variable b that shows the number of beads on each necklace is (b-20)/4

An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .

Standard form of linear expression in one variable x is  ax +b , where a and b are constants .

Given that Liam has a bag of b beads

He gave 20 beads to his sister

Then, remaining beads = b -20

Remaining beads are used to make 4 necklaces

Let the beads on each necklace be x

Then beads in four necklaces = 4x

As, Remaining beads = beads in four necklaces

⇒4  x = b - 20

Dividing the equation by 4 on both sides

⇒ x = (b-20)/4

∴ The expression that shows the number of beads on each necklace is (b-20)/4

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Answer:

The growth rate is 7.2%

Step-by-step explanation:

First thing we need to do here is to set up an exponential equation;

This can be written as follows;

F = I(1 + r)^t

where F is the future value = 20,000

I is the initial value = 10,000

r is the rate in percent which we want to calculate

t is time in years = 10 years

Substituting the values in the question into the exponential equation, we have;

20,000 = 10,000(1 + r)^10

divide both side by 10,000

2 = (1+r)^10

Find the 10th root of both sides

1+ r = 2^(1/10)

1 + r = 1.07177346254

r = 1.07177346254-1 = 0.07177346253

Let’s approximate r as 0.072

Now this to percentage?

That would be 72/1000 * 100% = 7.2%

Polynomials are algebraic expressions that involve the sum of power functions. Monomials are the simplest type of polynomial and are used to describe terms with a single term, such as 5m².

A monomial is a polynomial consisting of only one term, and it may be a constant, variable, or a product of a constant and a variable. The degree of a monomial is determined by the exponent of the variable.

In this case, 5m² has a degree of 2 because the exponent of m is 2. When it comes to multiplication and division of monomials,

the rules for powers apply. When multiplying monomials with the same base, we add the exponents; for example, (2m) (3m²) = 6m³.

In terms of dividing monomials, we subtract the exponent of the denominator from the exponent of the numerator; for example, (3m²) / (2m) = 1.5m.

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The integrand is zero, the value of the integral is also zero. Therefore, the result of the integral is 0.

You provided the integral as follows: (57/4) * 8 * cos(0) * sin(0) de

Sin(0) = 0 and cos(0) = 1, therefore the integral becomes:

∫(57/4) * 8 * 1 * 0 de

The value of the integral is zero since the integrand is zero. As a result, the integral's outcome is 0.

Let's dissect the fundamental piece by piece:

The integral is as follows:

(57/4), 8 times, cos(0), sin(0), and de

Let's now make the phrase simpler:

Sin(0) = 0 and cos(0) = 1.

By replacing these values, we obtain:

∫(57/4) * 8 * 1 * 0 de

When we multiply the terms, we get:

∫(57/4) * 0 de

Any value multiplied by 0 is always 0. Therefore, the integrand is 0.

Now, when you integrate a constant, the result is the constant multiplied by the variable of integration. In this case, the variable of integration is 'e'. So, integrating 0 with respect to 'e' gives:

0 * e = 0

Therefore, the value of the integral is 0.

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