Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate.

The missing value in the frequency table from the electronics manufacturers would be 150.

The class interval of the battery life is in fives which means that between 25 and 30, the shaded region on the histogram would represent 28 ≤ x < 30.

Looking at the y axis, we can tell that the class interval is 50 thanks to the 120 achieved by 15 ≤ x < 20. This then means that as 28 ≤ x < 30 is sitting on the third y interval, we know that it has a value of 150.

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Answer:

To find the perimeter, we need to add up the lengths of all the sides. In this case, we have four sides with lengths given by the expressions 2v-5, 4v+5, 2v-5, and 8v-7.

So the perimeter P is:

P = (2v-5) + (4v+5) + (2v-5) + (8v-7)

Simplifying and combining like terms, we get:

P = 16v - 12

Therefore, the perimeter is 16v - 12.

Answer:

\(\dfrac{3}{85}\)

Step-by-step explanation:

It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.

Total number of entries = 85

Total number of gift baskets = 3

We need to find the probability of winning a gift basket.

\(\text{Required probability}=\dfrac{\text{Total number of gift baskets}}{\text{Total number of entries}}\)

\(\text{required probability}=\dfrac{3}{85}\)

Therefore, the required probability is \(\dfrac{3}{85}\).

To calculate the number of cement bags needed for a construction site requiring 75 tonnes of cement for a foundation, we need to use the unitary method. One way of calculating this is as follows:

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Answer:

Let the number of cola bottles Ayesha bought be x. Cost of x cola bottles = *15x.

As per the problem she has bought 2x cans of orange juice at 25. Cost of 2x cans of orange juice = 50x.

As per the problem she has bought 2x-10 cans of lemonade at 20. Cost of 2x-10 cans of lemonade = *40x- 200.

Given total amount spent = 430.

Hence 15x + 50x + 40x - 200 = 430

=> 105x = 630

=> x = 6

So Ayesha bought 6 cola bottles, 12 orange juice cans and 2 lemonade cans.

Answer:

M = 3

Step-by-step explanation:

slope formula = change in y/change in x

(10-7)/(2-1) = 3/1

3/1 = 3

slope = 3

Answer:

6750

Step-by-step explanation:

i cant see a error but 1350x5=6750

Answer:

What is the question? But each night is $270.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

To make the system singular, we need the coefficient of one of the variables to be a multiple of the coefficient of the same variable in the other equation. Let's choose b = 4, which makes the first equation a multiple of the second:

2x + 4y = 16

4x + 8y = g

To make the system solvable, we need the two equations to not be parallel, which means the slopes must be different. Let's choose g = 32, which gives the second equation a slope of 1/2:

2x + 4y = 16

4x + 8y = 32

We can solve this system using substitution or elimination. Let's use elimination:

-2(2x + 4y = 16) -> -4x - 8y = -32

4x + 8y = 32

0 = 0

We see that the last equation is always true, which means the system has infinitely many solutions. We can find two solutions by setting x = 0 and solving for y:

2(0) + 4y = 16

y = 4

So one solution is (0,4). Now let's set y = 0 and solve for x:

2x + 4(0) = 16

x = 8

So another solution is (8,0).

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The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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a. Differentiating the weight function with respect to t, we get:

W'(t) = 25.5(3)(-0.181)(1 - 0.181)2(-0.181')

Simplifying, we get:

W'(t) = -13.92(1 - 0.181)2(0.181')

b. Taking the second derivative of W(t) with respect to t, we get:

W''(t) = -13.92(1 - 0.181)2(0.181'')

Simplifying, we get:

W''(t) = 8.38(0.181'')

c. To find the points of inflection, we need to find the values of t for which W''(t) = 0. Since 0.181'' is always positive, W''(t) will only be zero when t = 0.

To find the corresponding W value, we can use the original weight function:

W(0) = 25.5(1 - 0.181)3 = 25.5(0.819)3 = 15.99 kg

Therefore, the point of inflection is (t, W) = (0, 15.99) years, kg.

d. To find the most rapid rate of growth, we need to find the maximum value of W'(t). We can do this by setting W'(t) = 0 and solving for t:

0 = -13.92(1 - 0.181)2(0.181')

Differentiating , we get:

0.181' = 0.181/3 = 0.06033

Substituting this value back into the expression for W'(t), we get:

W'(t) = -13.92(1 - 0.181)2(0.06033) ≈ -0.229 kg/yr

Therefore, the trout is gaining weight most rapidly at the point of inflection, and the most rapid rate of growth is approximately -0.229 kg/yr.

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Step-by-step explanation:

Whole numbers less than 5 may be termed as Rational numbers.

The ratio of the volume of the figure is 3:1.

The term called volume in math is defined as the space occupied within the boundaries of any three-dimensional solid

Here we know that the cylinder and a cone are having equal radii of their bases and heights.

Then let us consider that radius of the cone is equal to radius of the cylinder is defined as r and Height of the cone and height of the cylinder is defined as h.

Then their volume is written as,

=> Volume of cylinder /volume of cone

=> πr²h/ (1/3)πr²h

When we simplified this on, then we get the fraction as,

=> 3/1

Then the resulting ratio is 3:1.

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Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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The inferential statistics would employ the probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime.

The inferential statistics are calculated by using analytical tools such as test-statistic values, degree of freedom, sample size, and the rejection criteria(assumption or hypothesis).

Thus, the given information is about predicting the miles. So, according to the probability theory, it needs a sample of data about 2000 Toyota Celica.

Hence, it falls under the inferential branch of statistics. So, option C is correct.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime?

A. Predictive statistics

B. Descriptive statistics

C. Inferential statistics

D. Differential statistics

\(\\ \tt\longmapsto (3x+7)^2\)

\(\\ \tt\longmapsto (3x)^2+2(3x)(7)+(7)^2\)

\(\\ \tt\longmapsto 9x^2+42x+49\)

Done

The general solution of an exact differential equation can also be found by solving the associated homogenous equation and adding the particular solution obtained from the original equation.

1. Identify the exact differential equation.

2. Find the integrating factor by multiplying the equation by an expression of the form e^(f(x)).

3. Multiply the integrating factor with the equation to make it exact.

4. Integrate both sides of the equation to obtain the general solution.

5. Check the solution by differentiating it to confirm that it satisfies the original equation.

6. Add the particular solution obtained from the original equation to the homogenous solution to get the general solution.

The general solution of an exact differential equation can be found by using an integrating factor. An integrating factor is a function of the independent variable which can be multiplied with the equation in order to make it exact. Once the equation has been made exact, it can be solved using the standard integration techniques. In addition, the general solution can be found by solving the associated homogenous equation and then adding the particular solution obtained from the original equation.

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Jeremy has $10,000 USD to invest and wants to know where to invest his money. As a financial adviser, your job is to suggest a complete portfolio investment plan. You suggest a complete portfolio consisting of a risky portfolio with a 10.5% return and a 15% standard deviation.

Therefore,Weight of Risky Asset = 1 - Weight of Risk-free assetExpected Return of the Portfolio = Weight of Risky Asset * Expected Return of the Risky Asset + Weight of Risk-free Asset * Risk-free Rate10.5% = (1 - Weight of Risk-free Asset) * 10.5% + Weight of Risk-free Asset * 8%Using algebra, we can solve for Weight of Risk-free Asset:Weight of Risk-free Asset = (Expected Return of the Portfolio - Expected Return of the Risky Asset) / (Risk-free Rate - Expected Return of the Risky Asset)= (0.105 - 0.085) / (0.08 - 0.105) = 0.8333This means the weight of the risky asset would be 0.1667.

Variance of the complete portfolio = (0.1667)^2 * 0.0225 = 0.000626Let us now find the standard deviation of the complete portfolio:

Standard Deviation of the complete portfolio = sqrt(Variance of the complete portfolio) = sqrt(0.000626) = 0.025

This means Jeremy's complete portfolio has an expected return of 10.5% and a standard deviation of 2.5%.The minimum value of the risk-aversion factor is given by the formula:Risk-Aversion Factor = (Expected Return of the Risky Asset - Risk-Free Rate) / (Standard Deviation of the Complete Portfolio)^2Substituting the values into the formula, we get:Risk-Aversion Factor = (0.105 - 0.08) / (0.025)^2 = 4.8Therefore, the minimum value of Jeremy's risk-aversion factor is 4.800.

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Answer: 8,600

Zach's gross capital gain can be calculated as follows:

Total proceeds from selling the stock = 200 shares x $43/share = $8,600

Total cost of buying the stock = 200 shares x $21.35/share = $4,270

Gross capital gain = Total proceeds - Total cost = $8,600 - $4,270 = $4,330

Therefore, Zach's gross capital gain from selling 200 shares of Goshen stock is $4,330.

Thus, the two positive whole numbers that are greater than one multiply to 576 and share only the number one in common is 5.

One of the categories that mathematicians have created for numbers is titled whole numbers, and it contains all of the numbers from 0 to infinity.

The specific class or collection of numbers known as whole numbers includes:

Two positive whole numbers greater than 1 are 2 and 3.

2 and 3 does not have any common factor except 1.

sum of 2 and 3 = 5

Thus, the two positive whole integers that are greater than one multiply to 576 and share only the number one in common is 5.

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Answer: x = 2

Step-by-step explanation:

BO=7x+4, OD=18

BO = OD

7x+4 = 18

7x = 14

x = 2

Answer:

it is rational

Step-by-step explanation:

if it is not able to be a fraction it is irrational, but it can be turned into a fraction so therefore it is a rational.

Hope this helped

Answer:

75 degrees=3x

you have to divide 3 both sides to get x on its own,

25 degrees= x

Answer:

V = 696.91

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

d = 11

r = d/2

r = 5.5

Work:

V = 4/3πr³

V = 4/3π(5.5)³

V = 4/3π(166.375)

V = 696.91

Answer:

y = - 7x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x - 9 ← is in slope- intercept form

with slope m = - 7

Parallel lines have equal slopes, thus

y = - 7x + c ← is the partial equation

To find c substitute (1, 10) into the partial equation

10 = - 7 + c ⇒ c = 10 + 7 = 17

y = - 7x + 17 ← equation of parallel line

Answer:

0.89

Step-by-step explanation:

6.1/3.9=28/10x/x+81/10

61/39=28x(x)/10+8.1

61/39-81/10=28x(x)/10

610/390_3159/390=28x(x)/10

2469/390=28x(x)/10

2469/390=14/5x(x)

2.51=14/5x

12.55=14x

x=0.89

To rank the cereals in order from least likely to be chosen to most likely to be chosen, we need to compare their probabilities. Here are the cereals ranked in order:

Bran O's (0.04): This cereal has the lowest probability of being chosen among the options provided.

Rice O's (8.9% or 0.089): This cereal has a higher probability than Bran O's but is lower than the remaining options.

Wheat O's (5/16 or 0.3125): This cereal has a higher probability than Rice O's but is lower than the remaining options.

Chocolate O's (3/10 or 0.3): This cereal has a higher probability than Wheat O's but lower than the last remaining option.

Corn O's (0.113): Among the given options, Corn O's has the highest probability and is the most likely to be chosen.

So, the cereals ranked from least likely to be chosen to most likely to be chosen are: Bran O's, Rice O's, Wheat O's, Chocolate O's, and Corn O's.

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Answer:

x=m+12g

Step-by-step explanation:

m=-12g+x

making x subject of formula, we have,

x=m+12g

Hello there!

Question:-

\(\sf \longmapsto \: m = -12g + x\)

We need to find the value of x.

Solution:-

\(\sf \: m = -12g + x\)

Firstly, Over turn the equation:-

\(\sf \longmapsto - 12g + x = m\)

Then Add 12 g to both sides:-

\(\sf \longmapsto - 12g+x+12g=m+12g\)

This equation may be rewritten as :-

\(\sf \longmapsto - 12g + 12 g + x = m + 12g\)

On Simplification:-

As (-) and (+) equals to (-),

\(\sf \longmapsto \: 1g + x = m + 12g\)

\(\sf \longmapsto \: x = m + 12g\)

______________________________________

Henceforth,the value of x is :-

\( \boxed{\huge \tt \: x = 12g + m}\)

_______________________________

Please let me know if you have any questions.

~MisterBrian