assume that the helium porosity level (measured in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.75. how large a sample size is necessary if the width of the 95% interval for the true average porosity level is to be 0.40

The study by the National Institutes of Health suggests that chocolate reduces the probability of getting Alzheimer's Disease if eaten regularly will affect the demand for chocolate.

This finding will increase the demand for chocolate. The determinant of demand being affected is consumer preferences or tastes. The study provides evidence that regular consumption of chocolate can reduce the risk of Alzheimer's Disease, which is likely to influence consumers' preferences and increase their desire to consume chocolate.

Graphically, the demand curve for chocolate will shift to the right, indicating an increase in demand. The original equilibrium quantity and price are marked on the graph with a regular pencil. Using a colored pencil, the new equilibrium quantity and price are marked similarly. The new equilibrium quantity will be higher, and the new equilibrium price will depend on the relative magnitude of the shift in demand compared to any changes in supply.

As the demand for chocolate increases, assuming the supply remains unchanged, there will be a new equilibrium where the quantity demanded matches the quantity supplied at a higher price. This is because the increased demand puts upward pressure on prices as consumers are willing to pay more for chocolate.

The market adjustment process begins with a shortage of chocolate at the original equilibrium price after the effect. The increased demand exceeds the original supply, resulting in a situation where consumers are willing to buy more chocolate than is available.

In response to this shortage, suppliers observe an increase in inventories at the original price. This encourages suppliers to increase their production of chocolate to meet the rising demand. As suppliers increase their production, the available quantity of chocolate in the market gradually increases.

The increased supply from suppliers helps alleviate the shortage, and as the quantity supplied catches up with the quantity demanded, the market moves toward a new equilibrium. The new equilibrium is reached at a higher price and a higher quantity, reflecting the increased demand for chocolate.

These actions by suppliers to increase their production and meet the rising demand affect consumer purchases by making more chocolate available in the market. As the supply increases, consumers are able to purchase more chocolate at the new equilibrium price. The increased availability of chocolate satisfies the higher consumer demand resulting from the study's findings, allowing consumers to benefit from the potential health benefits of regular chocolate consumption.

Overall, the study suggesting that chocolate reduces the probability of getting Alzheimer's Disease if eaten regularly will positively impact the demand for chocolate, leading to a new equilibrium with a higher price and quantity.

For more questions like Health click the link below:

https://brainly.com/question/13179079

#SPJ11

Answer:

Length of side AB = 10.2m

Step-by-step explanation:

Given:

The given area of triangle ADC = 52m²

Side AD = 12m,

Given angle D = 102°

Then we can calculate the area of triangle ADC using below formula

Area= ½ × a × b × sin(C)

52m² = ½ × 12 × CD × sin102

But sin102= 0.9781

52 = 6 × CD *(0.9781)

CD = 52/(6× 0.9781)

CD = 52/5.8686

Therefore, the length of side CD= 8.86m= 8.9m If we approximate

If we will need to find sides AC by applying Cosine rule as follows

d² = a² + c² -2ad ×(cosD)

d² = 8.9² + 12² - 2*8.9*12× Cos102

Cos102 = -0.2079

d² = 267.61744

d = √267.61744

Therefore, sides AC = 16.4m

We can apply sine rule to ∆ABC as

xsinX = y/sinBY

AB/sin46) = AC/(sin120)

AB/0.7193 = 16.4/(0.866)

AB = (14.2023) ×0.7193

Therefore, side AB = 10.2m

Two paintings in an art display have shapes that are similar figures. the similarity ratio is 9:7 and the perimeter of the smaller painting is 6 meters therefore the perimeter of the larger painting to the nearest tenth is 7.7 meters.

This is referred to as the total distance around a two-dimensional shape.

Perimeter of the smaller painting is 6 meters and similarity ratio is 9:7

9 = x

7 = 6

7x = 54

x = 54/7 = 7.7 meters.

Read more about Perimeter here https://brainly.com/question/19819849

#SPJ1

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

Answer:

14.40

Step-by-step explanation:

The sale price of the shirt is around $14.40 I think

Solution:

Note that:

Simplify the equation to obtain the sale price.

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality \(25x+200y\geq 1000\)

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take \(x=20,y=3\)

\(25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000\)

So, \(x=20,y=3\) satisfy the inequality \(25x+200y\geq 1000\)

Take \(x=30,y=4\)

\(25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000\)

So, \(x=30,y=4\) satisfy the inequality \(25x+200y\geq 1000\)

Take \(x=40,y=5\)

\(25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000\)

So, \(x=40,y=5\) satisfy the inequality \(25x+200y\geq 1000\)

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Answer:

#1 is A #2 is A

Step-by-step explanation:

Answer:

it has one

Step-by-step explanation:

x=12

Answer:

A=-b   B=-275

Step-by-step explanation:

I know everything about this kind of math

Answer:

\(\bar x_{girls} = 46.25\)

Step-by-step explanation:

Given

\(Boys = 7\\Girls = 16\)

\(\bar x = 49\)

Required

Mean of girls

The mean of the boys and girls is calculated as:

\(\bar x = \frac{\sum x}{n}\)

This gives:

\(\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}\)

So, we have:

\(49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}\)

\(49= \frac{387 + \sum(girls)}{23}\)

Cross multiply

\(23 * 49=387 + \sum(girls)\)

\(1127=387 + \sum(girls)\)

Subtract by 387

\(1127-387 = \sum(girls)\)

\(740= \sum(girls)\)

\(\sum(girls) = 740\)

The mean of girls is:

\(\bar x_{girls} = \frac{\sum(girls)}{girls}\)

\(\bar x_{girls} = \frac{740}{16}\)

\(\bar x_{girls} = 46.25\)

Answer:

a. 3(x-7)+2=2x-1

3x-21+2=2x-1

3x-19=2x-1

+19 +19

3x=2x+18

-2x -2x

x=18

b. 2x-(5-x)=3x+2(x-7)

2x-5+x=3x+2x-14

3x-5=5x-14

-14 -14

3x+9=5x

-3x -3x

9/2=2x/2

x=9/2

Answer:

subtract 3

input and output always input should be your first one.

So, 6-3=3  7-3=4  8-3=5

9-3=6 10-3=7

Hope this helps u:)

Pls mark brainlist

Answer:

Correct answer is subtract 3

Step-by-step explanation:

Answer:70 i believe

Step-by-step explanation:

(4,375/125)=35

35*2=60

-(7/6) π radians is equal to -210 degrees.

To convert radians to degrees, we use the conversion factor: 1 radian = 180/π degrees.

In this case, we have -(7/6) π radians. To convert this to degrees, we multiply the given value by the conversion factor:

-(7/6) π radians * (180/π) degrees/radian

The π in the numerator and denominator cancels out, leaving us with:

-(7/6) * 180 degrees

Now, we can simplify the expression:

-(7/6) * 180 = -7 * 30 = -210 degrees

Therefore, -(7/6) π radians is equal to -210 degrees.

Learn more about degrees.

brainly.com/question/364572

#SPJ11

Answer:

(x + 1)(3x - 10)

Step-by-step explanation:

Given

3x² - 7x - 10

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = - 7

The factors are + 3 and - 10

Use these factors to split the x- term

3x² + 3x - 10x - 10 ( factor the first/second and third/fourth terms )

3x(x + 1) - 10(x + 1) ← factor out (x + 1) from each term

(x + 1)(3x - 10), thus

y = (x + 1)(3x - 10) ← in factored form

Answer:

$244.51

Step-by-step explanation:

Credit card payment =$5390

After paying $2300 from savings account,

Remaining payment left     = 5390-2300 = $3090

APR = 16.5% or 0.165

Time (t) = 14 months = 14/12 years

Using credit card payment calculator,

Monthly payment = $244.15

Hence, minimum monthly payment to be made to pay off the whole debt in 14 months = $244.15

Three strategies that implement to encourage the use of BEVs are incentives, Infrastructure and Regulations. The cost of gasoline per mile for an ICE vehicle is $0.016 per mile.

Incentives: The federal government could offer financial incentives such as tax credits, rebates, or grants to consumers who purchase BEVs. This would make BEVs more affordable and help to offset the higher upfront cost of these vehicles.

Infrastructure development: The federal government could invest in the development of charging infrastructure for BEVs, such as public charging stations. This would help to alleviate range anxiety and make BEVs more convenient and practical for consumers.

Regulations: The federal government could implement regulations that incentivize or require automakers to produce more BEVs. This could include emissions standards that are more favorable to BEVs, or mandates for automakers to produce a certain percentage of their vehicles as electric.

To calculate the cost of gasoline per mile for an ICE vehicle with fuel efficiency of 235 miles per gallon and gasoline cost of $3.75 per gallon, we divide the cost of gasoline by the fuel efficiency:

Cost per mile = $3.75 / 235 miles per gallon

Cost per mile = $0.016 per mile

To learn more about cost click on,

https://brainly.com/question/24357861

#SPJ4

Answer:

Statement 2: m∠ ELD = (2x)°

Reason 4: Sum of angles on a straight line is equal to 180°

Statement 6: 2x = 56

Step-by-step explanation:

Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°

In statement 4,it is written that;

m∠ ELD + m∠ ELG = 180°

The reason behind this is that;

Sum of angles on a straight line is equal to 180°.

For reason 6, we are told it is a subtraction property.

Now the preceding statement gave us;

2x + 124 = 180

Which means that for subtraction property here, we will have;

2x = 180 - 124

2x = 56

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

Learn more about test statistic here:

https://brainly.com/question/14128303

#SPJ4

If the price of rough rice increases from 12,000 to 20,000 rupees per ton, the supply curve of milled rice in India will decrease by 96 million tons per year.

To determine how the supply curve changes when the price of rough rice increases from 12,000 to 20,000 rupees per ton, we need to analyze the given supply function:

Q = 8 + 9p - 12p,

In the supply function, "p" represents the price of milled rice in thousands of rupees per ton. However, there is a typo in the equation provided for the supply function. It appears that the equation contains two terms with the variable "p," which should be corrected.

Assuming the corrected supply function is:

Q = 8 + 9p - 12p',

Where p' represents the price of rough rice in thousands of rupees per ton.

Now, let's calculate the initial supply quantity and then compare it with the new supply quantity after the increase in the price of rough rice.

For the initial price of rough rice (p') at 12,000 rupees per ton:

Q1 = 8 + 9p - 12(12)

Q1 = 8 + 9p - 144

For the new price of rough rice (p') at 20,000 rupees per ton:

Q2 = 8 + 9p - 12(20)

Q2 = 8 + 9p - 240

The change in supply can be calculated as the difference between Q2 and Q1:

Change in supply (ΔQ) = Q2 - Q1

= (8 + 9p - 240) - (8 + 9p - 144)

= -240 + 144

= -96

The change in supply (ΔQ) is -96 millions of tons of rice per year.

Therefore, if the price of rough rice increases from 12,000 to 20,000 rupees per ton, the supply curve of milled rice in India will decrease by 96 million tons per year.

Learn more about  price from

https://brainly.com/question/29023044

#SPJ11

Answer:

5 2/5

Step-by-step explanation:

Thats the answer kiddo.

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

Learn more about value  here: brainly.com/question/9796766

#SPJ11

The explanation provided is incorrect. The correct interpretation of the 95% confidence interval is that we are 95% confident that the true population mean BMI falls within the interval of 26.2 to 27.4. It does not imply that the population mean BMI will be within this range in about 95% of the samples.

A 95% confidence interval is constructed based on the observed sample data and is used to estimate the range within which the true population parameter (in this case, the mean BMI) is likely to fall. The confidence interval of 26.8 ± 0.6 means that we are 95% confident that the true population mean BMI falls within the range of 26.2 to 27.4. This interval is derived from the sample data and the properties of the sampling distribution.

However, it is important to note that the interpretation of a confidence interval does not apply to individual samples. It means that if we were to repeatedly sample from the population and construct 95% confidence intervals, approximately 95% of those intervals would capture the true population mean BMI. This statement refers to the long-term behavior of confidence intervals, not to any specific sample. Therefore, it is incorrect to claim that the population mean BMI will be between 26.2 and 27.4 in about 95% of the individual samples.

Learn more about BMI  : brainly.com/question/24717043

#SPJ11

George doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.

From the above question:

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.

Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )

Use the order of operations to simplify this expression.

Using the order of operations we have:

=$ 15 – (9 + 2.65 + 1.35 + 2(1.74) )

= $15 -( 9 + 2.65 + 1.35 + 3.48 )

=$ 15 – (16.48)

= $-1.48

Hence , george doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.

Learn more about order of operations at:

https://brainly.com/question/550188

#SPJ4

Answer:

x = 19.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

#1 y= $40tt

#2 y = $100

where y represents the amount of money spent.

where tt represents the amount of months being charged for the monthly membership.

The tangent theta is a Trigonometric function, the simplified value of 1 + tan²θ is sec²θ.

Trigonometric functions are also called circular functions. They are easily defined as functions of triangle angles. This means that the relationships between the angles and sides of triangles are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. Also read the triangle identity here.

We have given an expression, 1 + tan²θ

we know that , tanθ = sinθ /cosθ

sin²θ + cos²θ =1 and 1/cosθ = secθ

Now, 1 + tan²θ = 1 + sin²θ/cos²θ

taking LCM cos²θ

=> 1 + tan²θ = (cos²θ + sin²θ )/cos²θ

=> 1 + tan²θ = 1/cos²θ

=> 1 + tan²θ = sec²θ

Hence, the required expression is sec²θ.

To learn more about Trigonometric functions, refer :

https://brainly.com/question/25618616

#SPJ4