A study was carried out to compare the effectiveness of the two vaccines A and B. The study reported that of the 900 adults who were randomly assigned vaccine A, 18 got the virus. Of the 600 adults who were randomly assigned vaccine B, 30 got the virus (round to two decimal places as needed).

Construct a 95% confidence interval for comparing the two vaccines (define vaccine A as population 1 and vaccine B as population 2

Suppose the two vaccines A and B were claimed to have the same effectiveness in preventing infection from the virus. A researcher wants to find out if there is a significant difference in the proportions of adults who got the virus after vaccinated using a significance level of 0.05.

What is the test statistic?

Answer:

x=72

Step-by-step explanation:

x/6+9=21

x/6=21-9

x/6=12

6(x/6)=12(6)

x=12x6

x=72

The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

More can be learned about compound interest at https://brainly.com/question/24274034

#SPJ1

Answer:

no

Step-by-step explanation:

Answer:

233

Step-by-step explanation:

2=33=2=

The quadratic equation that gives the area, "a," of a rectangle in square feet given its width, "w," in feet is **A = w^2**, where A represents the area and w represents the width.

In a rectangle, the area is given by the product of its length and width. Since we are specifically interested in finding the equation for the area in terms of the width, we can let the length be a constant value or represent it in terms of the width.

Let's assume the length is a constant value, L. Then, the area of the rectangle, A, can be expressed as A = Lw.

However, if we consider the rectangle to be a square (where the length is equal to the width), we have a special case where L = w. In this case, the equation for the area simplifies to A = w^2.

Therefore, the quadratic equation A = w^2 represents the area of a rectangle in square feet given its width in feet. This equation indicates that the area is directly proportional to the square of the width.

For example, if the width of the rectangle is 5 feet, we can substitute w = 5 into the equation: A = 5^2 = 25 square feet. This means that the area of the rectangle would be 25 square feet when the width is 5 feet.

It's important to note that the equation A = w^2 assumes that the width and length of the rectangle are measured in the same unit (feet in this case). If the width is measured in a different unit, such as inches or meters, the equation would need to be adjusted accordingly to maintain consistent units.

Learn more about quadratic equation here

https://brainly.com/question/1214333

#SPJ11

Based on the fact that Sam goes to the restaurant to buy a burger and a drink and find the value meal price, the marginal cost of the drink is $0.49.

The fact that Sam is considering buying a burger and chips with the drink being an afterthought means that it is the least important item in the value meal for Sam.

Its marginal cost can therefore be found as:

= Cost of value meal - price of burger - price of fries

= 4.99 - 3.00 - 1.50

= 1.99 - 1.50

= $0.49

In conclusion, the marginal cost of the drink is $0.49.

Full question is:

Sam has decided to buy a burger and fries at a​ restaurant, but he is considering whether to buy a drink as well. Suppose the price of a burger is​ $3.00, fries are​ $1.50, drinks are​ $2.00, and a value meal with all three costs​ $4.99. For​ Sam, what is the marginal cost of the​ drink?

Find out more on marginal cost at https://brainly.com/question/12231343

#SPJ1

Answer:

Point K: (-4, 8)

Step-by-step explanation:

using a scale factor means you will multiply that amount to the coordinates given. in this situation, i multiplied the coordinates of point K (-1, 2) by the scale factor of 4. This multiplication resulted in the new point: (-4, 8).

i hope this helps!

The variable can change depending on the equation and the constant doesnot change .

Here, the variables are a,n

The constants are 16,-30,50

Answer:

-51 months

Step-by-step explanation:

To solve, we can use the second model since we're told the money is compounded monthly

\(A=P(1+r/n)^n^t\\\\1000=4000(1+0.027/12)^1^2^t\\\\1/4=(4009/4000)^1^2^t\\\\log(1/4)=log(4009/4000)^1^2^t\\\\log(1/4)=12t*log(4009/4000)\\\\log(1/4)/log(4009/4000)=12t\\\\1/12*(log(1/4)/log(4009/4000))=t\\\\-51.40197623=t\\-51=t\)

To solve this problem, we'll use the formula A=P(1+r/n)^nt, where A is the future value, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

In this case, we know that P=$4000, r=2.7%, and n=12 (since interest is compounded monthly). We're trying to find the time required for the account to earn $1000, so A=P+$1000=$5000.

Plugging these values into the formula, we get:

$5000=$4000(1+0.027/12)^(12t)

Simplifying, we can divide both sides by $4000 and take the natural logarithm of both sides:

ln(1.25)=ln(1+0.027/12)^(12t)

Using the properties of logarithms, we can bring the exponent down:

ln(1.25)=12t*ln(1+0.027/12)

Dividing both sides by 12ln(1+0.027/12), we get:

t=ln(1.25)/(12ln(1+0.027/12))

Using a calculator, we find that t is approximately 3.5 years. Rounded to the nearest month, this is 42 months.

Therefore, it would take approximately 42 months (or 3 years and 6 months) for the account to earn $1000 with an initial investment of $4000 at an interest rate of 2.7% compounded monthly.

Learn more about compound interest here:

https://brainly.com/question/29335425

#SPJ11

The reasonable estimate of the  probability that it is sunny tomorrow is option D: 25%

The concept of probability is determining the chance or likelihood of a certain event occurring. When we lack certainty regarding the result of a happening, we can discuss the chances of particular consequences, which denote their level of probability. The value of probability is one that ranges form  0-1

From the graph,

Total numbers of days of weather = days of weather that is  sunny + days of weather that is rainy + days of weather that is snowy

= 3 + 5 + 2 + 2 = 12

So, the probability of days of weather to be sunny + 3.12 = 1/4

= 0.25

Hence there is a 25 % chance that the weather will be sunny.

Learn more about probability  from

brainly.com/question/30034780

#SPJ1

The following bar graph summarizes the weather conditions in Crayonton for each day this month so far. Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow? Choose the best answer.

a 14

b 17

c 21

d 25

To ensure proper moisture for house plants, approximately 1 liter of water needs to be added to every 5 liters of soil.

House plants require a balance of water and soil to thrive. When planting flowers that need water, it is important to ensure the soil retains adequate moisture. As a general guideline, you should add approximately 1 liter of water to every 5 liters of soil. This ratio helps to maintain the right level of hydration for the plants.

The watering needs of plants can vary depending on factors such as plant species, environmental conditions, and pot size. It's crucial to consider individual plant requirements and adjust watering accordingly. Before adding water to the soil, it's advisable to check the moisture level by inserting your finger into the soil up to your knuckle. If it feels dry, it's time to water. However, if it feels moist, it's best to wait and avoid overwatering, which can lead to root rot and other problems.

Learn more about watering plants

brainly.com/question/29253842

#SPJ11

The correct option for the given relation is option C. Using a voltmeter and an ammeter connected in series with battery, emf and terminal voltage.

The serial connection of an ammeter Option A and B are incorrect because the voltmeter is connected in parallel to the circuit. Without causing a buildup, charged particles in a conductor. If it happens otherwise, it generates its own electric field, which cancels out the electric field from the outside, ultimately causing the current to step in the wrong direction choice D. We can measure the terminal voltage, or emf, of the battery X in option C using a voltmeter and an ammeter connected in series. R allows us to measure current.

Therefore appropriate choice is option C.

Learn more about electromotive force:

https://brainly.com/question/24182555

#SPJ4

False.

When conducting time series forecasting, it is not necessarily safest to utilize regression analysis. Regression analysis is a statistical method used to model the relationship between a dependent variable and one or more independent variables. However, it may not be the most appropriate technique for time series forecasting.

Time series forecasting involves analyzing and predicting patterns and trends in sequential data over time. Techniques specifically designed for time series analysis, such as ARIMA (Autoregressive Integrated Moving Average) models, exponential smoothing methods, or state space models, are generally more suitable for time series forecasting.

Regression analysis assumes that there is a linear relationship between variables, which may not hold in time series data where patterns can exhibit trends, seasonality, or other complex dynamics. Extrapolation, which involves extending a trend beyond the observed data range, can still occur in regression analysis if not properly accounted for.

Therefore, it is important to choose appropriate time series forecasting methods rather than relying solely on regression analysis to ensure accurate and reliable predictions.

To learn more about Regression analysis refer below:

https://brainly.com/question/28178214

#SPJ11

The sine of the angle formed by the point (square root 2/2, negative square root 2/2) on the terminal side is negative.

To find the sine of the given angle, we need to determine the y-coordinate of the point on the unit circle where the terminal side intersects. Since the given point lies in the third quadrant of the unit circle and has a negative y-coordinate, we know that the sine value will also be negative.

We can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle formed by the given point, the origin, and the point where the terminal side intersects the unit circle. The length of the hypotenuse is 1 since all points on the unit circle have a distance of 1 from the origin. Using the y-coordinate of the given point (-sqrt(2)/2), and the length of the hypotenuse (1), we can calculate the sine value as -sqrt(2)/2, which is negative. Therefore, the final answer is B) negative.

Learn more about terminal side here:-

brainly.com/question/29264198

#SPJ11

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

This is beyond me but good luck broskie

Step-by-step explanation:

I just needed points

Answer:

118

Step-by-step explanation:

33+29 = 62

180 - 62 = 118

Answer:

Step-by-step explanation:

    - 50 + (5 / 13)p         this says negative 50 plus 5/13 times p

if p = -26                      what does this epression evaluate to?

- 50 + (5 / 13) × p      p = -26      substitute the value of p into the expression

- 50 + (5 / 13) × (-26)      

- 50 + (5 (-26) / 13)                 I just rewrote the expression to make it clearer

                                               that the -26 in -26/1 and the  5 in 5 / 13    are

                                              both in the numerator over denominator 13

 - 50 + (5 (-26) / 13)              -26 / 13  evaluates to -2

 -50  + (5)(-2)    

 -50  + (-10)

 -50 - 10

 -60                

Answer:

X can be anything below 4

Answer:

x should be 1,2, or 3

Step-by-step explanation:

because if you take 3x4 it would be 12 (the same) so that's wrong. so it would have to be lower than that

the area inside the curve R is approximately 42.4115 square units.

To find the area inside the curve R, we can use a double integral. The formula for finding the area of a region using a double integral is:

A = ∬R dA

where A is the area of the region R, and dA is an infinitesimal element of area in the region R.

In polar coordinates, dA can be expressed as:

dA = r dr dθ

where r is the radius and θ is the angle.

Substituting this into the formula for the area, we get:

A = ∫₀^2π ∫₀^(5+sinθ) r dr dθ

We can evaluate this integral by integrating first with respect to r and then with respect to θ:

A = ∫₀^2π [1/2 r²] from 0 to (5+sinθ) dθ

A = ∫₀^2π 1/2 (5+sinθ)² dθ

Expanding the square and simplifying, we get:

A = ∫₀^2π 1/2 (25 + 10sinθ + sin²θ) dθ

A = 1/2 ∫₀^2π (25 + 10sinθ + sin²θ) dθ

Using the trigonometric identity sin²θ = (1-cos2θ)/2, we can simplify this to:

A = 1/2 ∫₀^2π (25 + 10sinθ + 1/2 - 1/2cos2θ) dθ

A = 1/2 ∫₀^2π (27/2 + 5sinθ - 1/2cos2θ) dθ

Integrating each term separately, we get:

A = 1/2 [27/2θ - 5cosθ + 1/4sin2θ] from 0 to 2π

A = 1/2 [(27/2)(2π) - 5cos2π + 1/4sin2(2π) - (27/2)(0) - 5cos0 + 1/4sin0]

A = 1/2 (27π)

A = 13.5π

To know more about area visit:

brainly.com/question/1631786

#SPJ11

Answer:

∠A≅∠Y        AB≅YX

∠B≅∠X          AC≅YZ

∠C≅∠Z         BC≅XZ

ΔACB ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

0.632

Step-by-step explanation:

divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe

Answer: answer for what?

Step-by-step explanation: oh I see it appeared iN wrong catogory I’m browsing History sorry

The value or measure of ∠PQR in the given circle where PQ & RQ are tangents from same external point Q is  52°, found by applying theorem in circle C and considering quadrilateral CPQR.

The word "tangent" refers or means "to touch". The Latin word for the same is "tangere". The line that intersects the circle exactly at one point on its circumference or boundary of circle and never enters the circle's interior is a tangent. A circle can have many  or infinite tangents. They are always perpendicular to the radius. A tangent of a circle is straight line that touches or intersects externally the circle at only one point without entering the interior of circle.

Consider the circle C, Given that

∠PCR=128°

QP & RQ are tangents from same point Q, which means

QP= QR {tangents from same external point are equal in length}

CP & CR are radius from the centre C & also perpendicular to the tangents, which means:

CP ⟂ QP

CR ⟂ QR

∠CPQ=90°

∠CRQ=90°

Consider the Quadrilateral CPQR,

∠C + ∠P + ∠Q + ∠R = 360°  {angle sum property of quadrilateral}

128 + 90 + ∠Q + 90 = 360

128 + 180 +∠Q = 360°  

∠Q = 360° - 180 - 128

∠Q = 360° - 308

∠Q = 52°

Therefore the measure of ∠PQR is  52°.

To know more about  tangents, visit:

https://brainly.com/question/23265136

#SPJ1

Answer:

34.0522° N, 118.2437° W

Step-by-step explanation:

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

To learn more about probability visit:

https://brainly.com/question/29383481

#SPJ4

Answer:

22

Step-by-step explanation:

4x4+6

16+6

=22

Answer:

14

Step-by-step explanation:

i used pemdas so fist i multiplied 2x2 then added 3 them multiplied 7 with 2 which gets us 14.

In this hypothesis test, we want to determine whether the average price of a condominium in Naples, Florida is at most $50,000.

H0: The average price of a condominium in Naples, Florida is $50,000 or less.

H1: The average price of a condominium in Naples, Florida is greater than $50,000.

To calculate the test statistic, we can use the formula:

test statistic = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

Given that the sample mean is $51,500, the hypothesized mean is $50,000, the standard deviation is $8,500, and the sample size is 81, we can substitute these values into the formula to calculate the test statistic.

The p-value represents the probability of obtaining a sample mean as extreme as the observed one, assuming the null hypothesis is true. To determine the p-value, we will use the test statistic and the appropriate distribution (in this case, the t-distribution).

Based on the p-value and the significance level of 0.10, we will make a decision. If the p-value is less than 0.10, we will reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to 0.10, we will fail to reject the null hypothesis.

In the decision, we will conclude whether there is enough evidence to support the claim that the average price of a condominium in Naples, Florida is at most $50,000, based on the calculated p-value and the chosen significance level.

Learn more about statistic here:

https://brainly.com/question/32237714

#SPJ11