Suppose that the weight of an newborn fawn is Uniformly distributed between 1.7 and 3.4 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. a. The mean of this distribution is 2.55 O b. The standard deviation is c. The probability that fawn will weigh exactly 2.9 kg is P(x - 2.9) - d. The probability that a newborn fawn will be weigh between 2.2 and 2.8 is P(2.2 < x < 2.8) = e. The probability that a newborn fawn will be weigh more than 2.84 is P(x > 2.84) = f. P(x > 2.3 | x < 2.6) = g. Find the 60th percentile.

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

The consumer surplus when the selling price is $10 is found by,
1. First, identify the demand curve equation: p = 430/(x+9).

2. Next, find the quantity demanded (x) when the selling price (p) is $10. Plug p = 10 into the demand curve equation: 10 = 430/(x+9).

3. Solve for x: 10(x+9) = 430. This simplifies to 10x + 90 = 430. Subtract 90 from both sides: 10x = 340. Divide by 10: x = 34.

4. Now, find the price consumers are willing to pay for the 34th unit using the demand curve equation: p = 430/(34+9). This simplifies to p = 430/43, which equals p ≈ 10.

5. The consumer surplus is the difference between the price consumers are willing to pay for the 34th unit and the selling price, multiplied by the quantity demanded, and divided by 2 (since the surplus forms a triangle). In this case, the consumer surplus is approximately (10 - 10) * 34 / 2 = 0.

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

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Answer:

Ratio 2 : 3

2 + 3 = 5

Total = £50

1) 2/5 × £50 = 100/5 = £20

2) 3/5 × £50 = 150/5 = £30

£20 and £30

Answer:

£20 and £30.

Step-by-step explanation:

Sum of the parts is 2 + 3 = 5.

So each part = 50 / 5 = 10

So 2 parts = 2*10 = 20

and 3 parts = 3 * 10 = 30

-3

Step-by-step explanation:

4 - 2x = 10

-4 -4

-2x = 6

÷ -2 ÷ -2

x = -3

The correct option is (B) generated randomly from probability distributions.

The values for random variables in a Monte Carlo simulation are generated randomly from probability distributions.

A frequency distribution that has been idealized is a probability distribution. An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears. The probability of occurrence of a value determines how frequently it appears in a sample.

A random variable can have any number of alternative values and likelihoods within a particular range, and a probability distribution is a statistical function that captures all of these possibilities. This range will be constrained by the minimum and maximum possible values, but the location of the possible value on the probability distribution will rely on a number of other variables.

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After the formation of the European Union (EU), it eliminated all tariffs among its member countries. This means that there are no import taxes or duties imposed on goods traded between EU member countries.

One of the key objectives of the European Union is to create a single market among its member countries, fostering economic integration and facilitating the free movement of goods, services, capital, and people. As part of this goal, the EU implemented the elimination of tariffs among its member countries. Tariffs are taxes or duties imposed on imported goods, which can increase their cost and hinder trade.

By removing tariffs, the EU promotes the free flow of goods within its borders. This has significant benefits for businesses and consumers within the EU, as it allows for increased trade, competition, and access to a wider range of products. Eliminating tariffs encourages economic cooperation and integration among EU member countries, creating a more seamless and efficient trading environment.

Option a is incorrect because the EU does not bar imports of specific products or favor domestic companies. Option c is incorrect because the EU aims to promote trade and economic activity among its member countries rather than decreasing imports and exports. Option d is incorrect because the North American Free Trade Agreement (NAFTA) is a trade agreement between the United States, Canada, and Mexico and is not directly related to the European Union.

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(a) The economic loading of unit 4 and B are 11.54 MW and 138.46 MW, respectively.

To find the economic loading of the two units when the total load to be supplied by the power station is 150 MW, we need to minimize the total fuel cost. Let x be the power generated by unit 4 and y be the power generated by unit B. Then, we have:

x + y = 150 (total load)

The total fuel cost C is given by:

C = F4(x) + Fb(y)

where F4(x) and Fb(y) are the fuel costs for units 4 and B, respectively. Using the given relations, we have:

F4(x) = 0.06x^2 + 11.4x

Fb(y) = 0.07y^2 + 10y

Substituting x = 150 - y, we get:

C(y) = 0.06(150-y)^2 + 11.4(150-y) + 0.07y^2 + 10y

Expanding and simplifying, we get:

C(y) = 0.013y^2 - 3.6y + 1710

To minimize C(y), we take its derivative with respect to y and set it equal to zero:

dC/dy = 0.026y - 3.6 = 0

y = 138.46 MW

Substituting y back into x = 150 - y, we get:

x = 11.54 MW

(b) The negative value that is  -1297.5 indicates that there is a net decrease in fuel cost per hour if the load is equally shared by the two units.

To find the net increase in fuel cost per hour if the load is equally shared by the two units, we need to calculate the fuel cost for each unit when they generate half of the total load (i.e., 75 MW). Using the given relations, we have:

F4(75) = 0.06(75)^2 + 11.4(75) = 1282.5

Fb(75) = 0.07(75)^2 + 10(75) = 1312.5

Therefore, the total fuel cost is:

C = F4(75) + Fb(75) = 2595

If the load is equally shared by the two units, each unit generates 75/2 = 37.5 MW. The fuel cost for each unit is:

F4(37.5) = 0.06(37.5)^2 + 11.4(37.5) = 641.25

Fb(37.5) = 0.07(37.5)^2 + 10(37.5) = 656.25

Therefore, the total fuel cost is:

C' = F4(37.5) + Fb(37.5) = 1297.5

The net increase in fuel cost per hour is:

ΔC = C' - C = 1297.5 - 2595 = -1297.5

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\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

Step-by-step explanation:

it's an isosceles triangle

ht will intersect the base at 90°

so x^2 =33^2+15^2

x = 36.2

Answer:

(2,-1) and 5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It's letter C. Good luck

Statement that 95% confidence interval states that 95% of the sample means of specified sample size selected from a population will lie within plus and minus 1.96 standard deviations of population mean is false.

The 95% confidence interval is a range of values that is calculated from sample data and is used to estimate the true population parameter with a certain level of confidence. It provides an interval estimate for the population parameter, such as the population mean.

The value of 1.96 corresponds to the critical value for a 95% confidence interval when the underlying distribution is approximately normal. It is used to determine the margin of error in estimating the population mean. However, it is incorrect to state that 95% of the sample means will fall within plus and minus 1.96 standard deviations of the population mean. The confidence interval provides an estimate of the likely range of the population parameter, not the distribution of sample means.

In reality, the actual proportion of sample means falling within the confidence interval depends on various factors such as the sample size, the population distribution, and the variability of the data.    

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Answer:

f

(

x

)

=3

(2.50+

6.00x)

Answer:

B

Step-by-step explanation:

f(x)=3(2.50+6.00x)

pls give Brainliest.

Answer:

10.89

Step-by-step explanation:

-3.3 x -3.3 = 10.89

A negative times a negative is always a positive.

Answer: N=n 2 X - 3.3

Step-by-step explanation:

The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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Answer:

so devaki is 6 years old and her father would be 30 years old  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok

Answer:

what

Step-by-step explanation:

:(

The repair costs $90 for parts, plus $70 per hour for labor describes the situation. The solution has been obtained by using the equation.

What is an equation?

An equation is an assertion that two expressions containing variables and/or numbers are equivalent. The basic driving factors behind the growth of mathematics have been the attempts to rationally answer equations, which are essentially questions.

We are given an equation of the function as C(x) = 90 + 70x.

This depicts that $90 is fixed cost whereas $70 is variable cost and is dependent on the value of x.

So, the statement that describes the given situation is that the he repair costs $90 for parts, plus $70 per hour for labor.

Hence, the fourth option is the correct option.

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The area of the region is  rectangles

The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,

The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.

Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we

A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.

 Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.

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The probability that it landed on a multiple of four that is no greater than 10 is 0.3333.

If we know that the die landed on a number strictly greater than 10 only if it landed on a multiple of four, it means that if the dice landed on a number less than or equal to 10, it cannot be a multiple of four.

There are three multiples of four that are less than or equal to 10: 4, 8, and 12 (which we exclude since it's greater than 10).

Out of these three possibilities, only one satisfies the condition that the die landed on a number strictly greater than 10 only if it landed on a multiple of four, which is 8.

Therefore, the probability that the die landed on a multiple of four that is no greater than 10 is 1 out of 3, or 1/3.

In other words, the probability is approximately 0.3333.

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The current age of Sam is 30 years and Harry is 10 years.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Let Sam's age be y years and Harry's age be x years.

Sam is currently three times harry's age.

The equation formed: y = 3x

Sam's age is also 10 more than twice harry's age.

The equation formed: y = 2x + 10

Substitute the value of y from first equation in second equation:

3x = 2x + 10

x = 10

Put the value of x in first equation:

y = 3x = 3*10 = 30

Thus, the current age of Sam is 30 years and Harry is 10 years.

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Answer:

I don't see the answer  but it is 3/2x - 3 = y

Step-by-step explanation:

did it on edge 2020

The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.

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

The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).

The slope is calculated as,

\(m = \dfrac{x_2-x_1}{y_2-y_1}\)

x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.

The equation is given as,

y = mx + c

y = (-3/2)x - 3

Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.

The complete question is given below;-

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Which equation represents the graphed function?

–3x + 2 = y

–x + 2 = y

x – 3 = y

2x – 3 = y

y = ( 3/ 2 ) x - 3.

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Answer:

w + 10 = 40

Step-by-step explanation:

10 more than w is w + 10 is equal to 40 is =40

w + 10 = 40

Please mark as brainliest.

Answer:

Step-by-step explanation:

10 more than w is equal to 40 what is the expression

10 + w = 40                 is the expression

w = 40 - 10

w = 30                        is the solution

When m and n have the same parity (either both even or both odd), the expression 3m - n evaluates to an even number. Hence, the statement is proven.

In mathematics, the concept of parity is used to classify numbers into two categories: even and odd. Parity is a fundamental property of integers and other mathematical objects. An integer is considered even if it is divisible by 2 without leaving a remainder. In other words, an integer 'n' is even if there exists another integer 'k' such that n = 2k. Examples of even numbers include 2, 4, -6, and 0.

The provided proof is incorrect because the assumption that m = 2a and n = 2a is not valid.

Instead, we can provide a correct proof as follows:

Proof:

Let's assume that m and n have the same parity, which means both m and n are either even or odd.

Case 1: Both m and n are even.

If m and n are both even, we can express them as m = 2a and n = 2b, where a and b are integers.

Substituting these values into 3m - n, we get:

3m - n = 3(2a) - (2b) = 6a - 2b.

Since 6a is divisible by 2, we can write 6a - 2b as 2(3a - b). Here, 3a - b is an integer, so 2(3a - b) is also even.

Thus, when m and n are both even, 3m - n is even.

Case 2: Both m and n are odd.

If m and n are both odd, we can express them as m = 2a + 1 and n = 2b + 1, where a and b are integers.

Substituting these values into 3m - n, we get:

3m - n = 3(2a + 1) - (2b + 1) = 6a + 3 - 2b - 1 = 6a - 2b + 2.

Since 6a - 2b is even (as both a and b are integers), adding 2 to an even number still gives an even number.

Therefore, when m and n are both odd, 3m - n is even.

In both cases, when m and n have the same parity (either both even or both odd), the expression 3m - n evaluates to an even number. Hence, the statement is proven.

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Answer:

530.66 cm²

Step-by-step explanation:

Pizza has a circle shape

The formula for the area of the circle is

A = π · r²

r = 13 cm

π = 3.14

3.14 x 13² = 3.14 x 169 = 530.66 cm²

So, the area of the pizza is  530.66 cm²

Answer:

530.66cm^2

Step-by-step explanation:

since a pizza is in the shape of a circle, we can use the formula π\(r^{2}\) and here the radius is r which is 13cm, and since you asked to use 3.14 as pi's value,

=3.14*(13^2)cm

=3.14*169cm

is approximately = 530.66cm^2

A measurable loss of height is an assessment finding in a 65-year-old patient that alerts the nurse to the presence of osteoporosis.

Osteoporosis is a condition characterized by the loss of bone density and strength, leading to increased fragility and risk of fractures. Among the given options, option C, "a measurable loss of height," is a key assessment finding that indicates the presence of osteoporosis. Osteoporosis can cause compression fractures in the spine, leading to a decrease in height. As the bones in the spine weaken and collapse, it can result in a noticeable loss of height over time. This can be measured and documented during a physical assessment.

Frequent falls (option A) may not necessarily be a specific indication of osteoporosis, as falls can occur due to various factors. Aversion to dairy products (option B) may suggest a potential deficiency in calcium intake, which can contribute to osteoporosis, but it alone is not a conclusive sign. Bowed legs (option D) may be related to other conditions but are not a direct indicator of osteoporosis.

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Answer:

Solve for x: x=1/3y+1

Solve for Y: Y=3x-3

Step-by-step explanation:

Answer:

Oh easy...

Step-by-step explanation:

Multiply the numerator on the left by the denominator on the right, and the numerator on the right by the denominator on the left, to solve a proportion. Cross multiplying is the term for this. Simplify the equation, then solve for the variable using the inverse operation, division.

Answer:

where the picture is how should we give ans