Suppose that a conservative 95% confidence interval for the proportion of first-year students at a school who played in intramural sports is 68% plus or minus 4%. Find the sample size, n, that was used to obtain this confidence interval.

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer:

3.5 m

Step-by-step explanation:

PQ = 5/(5+5) × 7

= 5/10 × 7

= 3.5 m

Answer:

Step-by-step explanation:

3.14(3*5 + 3 to the power of 2)

3.14 * (3 * 5 + 3²) =

3.14 * (15 + 9) =

3.14 * 24 = 75.36 or 24π

Answer:

Probability of an even number product as requested = 7/10 = .7 = 70%

Step-by-step explanation:

Combinations of 2 digits from among 5 = 5!/(3!)(2!) = 10. Those combinations of 2 digits resulting in an even number product are even*even and even*odd. There are 2 even digits, (2,4) and 3 odd digits, (1,3,5).

Combinations of 2 even digits and 3 odd digits = 3*2 = 6. Combinations of 2 exact digits = 1*1 = 1. Thus, 6+1 = 7 different 2-digit products result in even numbers from among 10 possible 2-digit products.

Probability of an even number product as requested = 7/10 = .7 = 70%

The partial pressures of each gas are approximately:

P(N₂) ≈ 14.74 atm

P(O₂) ≈ 8.10 atm

P(H₂) ≈ 2.68 atm

To determine the partial pressures of each gas, we can use the ideal gas law equation:

PV = nRT

where:

P is the pressure,

V is the volume,

n is the number of moles,

R is the ideal gas constant (0.0821 L·atm/(mol·K)),

and T is the temperature in Kelvin.

Volume (V) = 12.75 L

Temperature (T) = 215°C = 215 + 273.15 = 488.15 K

For nitrogen (N₂):

Number of moles (n) = 4.55 mol

Using the ideal gas law equation, we can calculate the partial pressure of nitrogen (P(N₂)):

P(N₂) = (n(N₂) * R * T) / V

= (4.55 mol * 0.0821 L·atm/(mol·K) * 488.15 K) / 12.75 L

≈ 14.74 atm

For oxygen (O₂):

Number of moles (n) = 2.72 mol

Using the ideal gas law equation, we can calculate the partial pressure of oxygen (P(O₂)):

P(O₂) = (n(O₂) * R * T) / V

= (2.72 mol * 0.0821 L·atm/(mol·K) * 488.15 K) / 12.75 L

≈ 8.10 atm

For hydrogen (H₂):

Number of moles (n) = 1.117 mol

Using the ideal gas law equation, we can calculate the partial pressure of hydrogen (P(H₂)):

P(H₂) = (n(H₂) * R * T) / V

= (1.117 mol * 0.0821 L·atm/(mol·K) * 488.15 K) / 12.75 L

≈ 2.68 atm

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Answer: Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables.

Segmented and side-by-side bar graphs can summarize conditional relative frequencies.

Answer:

ANSWERS ARE B & C

B. Segmented and side-by-side bar graphs summarize the data distribution for two or more categorical variables

C. Segmented and side-by-side bar graphs can summarize conditional relative frequencies.

Step-by-step explanation:

Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

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Answer:

(i) mean: 5.4 median: 5.5 mode: 8

(ii) mean: 4.6 median: 5 mode: 5

(iii) mean: 17.5 median: 4 mode: 4

Step-by-step explanation:

Hope this helps :) please mark me Brainliest

Answer:

B=39.78

Step-by-step explanation:

Answer:b

hope this help:)

A survey that includes the identity of the property owner provides essential information regarding the legal ownership of the property. Option A

Legal and Administrative Purposes: Identifying the property owner is necessary for legal and administrative purposes. It establishes the rightful owner of the property and allows for proper documentation, contracts, and legal transactions related to the property.

Communication and Contact: The identity of the property owner allows for effective communication and contact between stakeholders. It enables interested parties, such as potential buyers, tenants, or authorities, to reach out to the owner for inquiries, negotiations, or obtaining necessary permissions.

Property Rights and Obligations: Understanding the identity of the property owner is essential for determining rights and obligations associated with the property.

Ownership Verification: The identity of the property owner helps in verifying the legal ownership of the property. It provides assurance to potential buyers, lenders, or investors that the seller or claimant is the rightful owner, reducing the risk of fraudulent transactions or disputes.

Transfer of Property: In cases of property transfers, such as sales or inheritances, the identity of the property owner is necessary to ensure a smooth transfer of ownership. It allows for the proper documentation of the transfer and updating of records with relevant authorities.

Option A

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32

22+10=32yd ...............

Answer:

The answer is 32. Sorry need the points.

Answer:

A. Undefined

Step-by-step explanation:

Any vertical lines' slope is undefined.

Answer:

A. Undefined

Step-by-step explanation:

Because the line is vertical.

The below calculation allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

To create a fruit punch that is entirely fruit juice, we must calculate the ratio of fruit juice to total punch. To do this, we will use the following formula:

Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100

For example, if we have 10 ounces of fruit juice and 10 ounces of fruit punch, the ratio of fruit juice to total punch is 50%. Therefore, we need to mix 50% fruit juice with 50% punch to create a fruit punch that is entirely fruit juice.

To calculate this for any given amount of fruit juice and punch, we simply plug the numbers into the formula. For instance, if we have 20 ounces of fruit juice and 60 ounces of punch, the ratio of fruit juice to total punch is 25%. Therefore, we need to mix 25% fruit juice with 75% punch to create a fruit punch that is entirely fruit juice.

By using this formula, we can easily determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

We can use the formula Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100 to calculate the ratio of fruit juice to total punch. This allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

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Answer:

\(\pi +24 = irrational\\\\\sqrt{16} + (-\frac {21}{5}) = rational\\\\\sqrt{8} +\pi =irrational\\\\\sqrt{4}+5= rational\\\\\sqrt{36}+ \sqrt[3]{27} = rational\)

\(\frac{3}{4} + \sqrt{27} = irrational\)

Step-by-step explanation:

The rational numbers are :

√16 + (-21/5)

√4 + 5

√36 + ∛27

The irrational numbers are:

π + 24

3/4 + √27

Given,

√16 + (-21/5)

π + 24

√4 + 5

√36 + ∛27

3/4 + √27

We need to find which of the following sum is rational or irrational.

Rational numbers are those numbers that are terminating and recurring.

Irrational numbers are those numbers that are non-terminating and non-recurring.

Rational numbers - 2.5, 3.666666

Irrational number - 22/7, π

Check the following.

√16 + (-21/5)

= 4 + (-21/5)

= 4 - (21/5)

= (20 - 21) / 5

= 1/5

= 0.2

It is a terminating number.

It is a rational number.

π + 24

= 3.1428571429 + 24

= 27.1428571429

It is a non-terminating number.

It is an irrational number.

√4 + 5

= 2 + 5

= 7

It is a terminating number

It is a rational number.

√36 + ∛27

= 6 + 3

= 9

It is a terminating number.

It is a rational number.

3/4 + √27

= 3/4 + 5.1961524227

= 0.75 + 5.1961524227

= 5.9461524227

It is a non-terminating number.

It is an irrational number.

Thus,

The rational numbers are :

√16 + (-21/5)

√4 + 5

√36 + ∛27

The irrational numbers are:

π + 24

3/4 + √27

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Answer:Yes

Step-by-step explanation: Without parentheses, this equation equals 44. Put the parentheses around 8-4 to make the equation true

The value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

Let's simplify the addition within the parentheses:

8 1/5 + 4 1/5 = (8 + 4) + (1/5 + 1/5) = 12 + 2/5 = 12 2/5

Next, let's simplify the subtraction within the parentheses:

6 6/8 - 6 2/4 = (6 - 6) + (6/8 - 2/4) = 0 + (3/4 - 1/2) = 0 + 1/4 = 1/4

Now, we can substitute the simplified terms back into the original expression:

(8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) = 12 2/5 - 1/4

To subtract mixed numbers, we need to find a common denominator. The common denominator for 5 and 4 is 20. Converting both terms:

12 2/5 = 12 * 5/5 + 2/5 = 60/5 + 2/5 = 62/5

1/4 = 1 * 5/5 * 5/20 = 5/20

Now we can subtract:

62/5 - 5/20 = (62 * 4)/(5 * 4) - 5/20 = 248/20 - 5/20 = (248 - 5)/20 = 243/20

Therefore, the value of the expression (8 1/5 + 4 1/5) - (6 6/8 - 6 2/4) is 243/20.

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Answer:

\(JL=56\)       \(JK=39\)        \(KL=17\)

Step-by-step explanation:

Your question is not well presented/formatted; however, I can deduce that the question requires that you calculate the following lengths;

JK, KL and JL

Given that

\(JL=5x-9\)

\(JK=3x\)

\(KL=1x+4\)

The relationship between the given parameters is:

\(JL = JK + KL\)

Substitute 5x - 9 for JL; 3x for JK and 1x + 4 for KL

\(5x - 9 = 3x + 1x + 4\)

Collect Like Terms

\(5x - 3x - 1x = 9 + 4\)

\(x = 13\)

Now that the value of x has been solved, we can easily get the numeric values of JK, KL and JL by substituting 13 for x

So;

\(JL=5x-9\)

\(JL=5*13-9\)

\(JL=65 - 9\)

\(JL=56\)

\(JK=3x\)

\(JK=3 * 13\)

\(JK=39\)

\(KL=1x+4\)

\(KL=1 * 13+4\)

\(KL=13+4\)

\(KL=17\)

Hence;

\(JL=56\)       \(JK=39\)        \(KL=17\)

Answer:y = 15

Step-by-step explanation:

Concept:

Here, we need to know the idea of similar triangles.

Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Set up the proportion between the sides

Small / Big = Small / big

10 / 22 = y / 33

Cross-multiply to simplify the proportion

22 · y = 33 × 10

22y = 330

Divide 22 on both sides

22y / 22 = 330 / 22

y = 15

Hope this helps!! :)

Please let me know if you have any quesitons

Answer: 178.3

Step-by-step explanation:

Use cos to find the value of x: cos(27)=350/x

You will find x = 392.81

Using this value, find sin(27):  Sin(27)=y/392.81

You will find y=178.33

Rounding to the nearest tenth, you get 178.3

To evaluate the definite integral of the given function f(x) = ln(1+2x) over the interval [a, b], where a = 4 and n = 3, we can use the midpoint rule.

Determine the width of each subinterval: Since n = 3, we divide the interval [a, b] = [4, b] into 3 subintervals of equal width. Therefore, the width of each subinterval is (b - a)/n = (b - 4)/3.

Identify the midpoints of the subintervals: The midpoints are the points in the middle of each subinterval. For n = 3, we have 3 subintervals, so the midpoints are 4 + (1/2)(b - 4)/3, 4 + (3/2)(b - 4)/3, and 4 + (5/2)(b - 4)/3.

Evaluate the function at the midpoints: Substitute each midpoint into the function f(x) = ln(1+2x) to find the corresponding function values.

Calculate the sum: Multiply the function values at the midpoints by the width of each subinterval and sum them up. This gives [(b - 4)/3] * f(midpoint 1) + [(b - 4)/3] * f(midpoint 2) + [(b - 4)/3] * f(midpoint 3).

Simplify the expression: Combine like terms and simplify the resulting expression.

Substitute the given values: Substitute a = 4, n = 3, and the given value of b into the expression.

Evaluate the definite integral: Perform the necessary calculations to obtain the numerical value of the definite integral.

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Answer:

14.3

Step-by-step explanation:

A=Pe^{rt}

A=Pe  

rt

A=159600\hspace{35px}P=63000\hspace{35px}r=0.065

A=159600P=63000r=0.065

Given values

159600=

159600=

\,\,63000e^{0.065t}

63000e  

0.065t

Plug in

\frac{159600}{63000}=

63000

159600

​  

=

\,\,\frac{63000e^{0.065t}}{63000}

63000

63000e  

0.065t

​  

Divide by 63000

2.5333333=

2.5333333=

\,\,e^{0.065t}

e  

0.065t

\ln\left(2.5333333\right)=

ln(2.5333333)=

\,\,\ln\left(e^{0.065t}\right)

ln(e  

0.065t

)

Take the natural log of both sides

\ln\left(2.5333333\right)=

ln(2.5333333)=

\,\,0.065t

0.065t

ln cancels the e

\frac{\ln\left(2.5333333\right)}{0.065}=

0.065

ln(2.5333333)

​  

=

\,\,\frac{0.065t}{0.065}

0.065

0.065t

​  

Divide by 0.065

14.3005532=

14.3005532=

\,\,t

t

t\approx

t≈

\,\,14.3

14.3

side length of square =4

side length of cube=3

hence the correct statement is,

the side length of the cube is less than the side length of the square

Answer:

Three pairs of prime numbers exist: 5 + 19 = 24, 7 + 17 = 24, 11 + 13 = 24.

Step-by-step explanation:

hope this helps :)

Answer:

Three: 5 + 19 = 24, 7 + 17 = 24, 11 + 13 = 24.

Step-by-step explanation:

Answer:

C. 8 units.

Step-by-step explanation:

The maximum value of the cosine ( cos) function is 1

So, for y = 3cos(2x - 8) + 5

Maximum value  is 3 *1 + 5 = 8.

y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.

The ratio of Chinese Yuan to Saudi Riyal is given as follows:

0.19 : 0.2857.

The ratio between two amounts a and b is given by the division of a by b, applying a proportion.

One U.S. dollar is equivalent to about 5.25 Chinese yuan, hence the value of one Chinese Yuan is given as follows:

1/5.25 = $0.19.

One U.S, dollar is equivalent to about 3.5 Saudi riyal, hence the value of one Saudi riyal is given as follows:

1/3.5 = $0.2857.

Then the ratio is given as follows:

0.19 : 0.2857.

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Answer:

9.4

Step-by-step explanation:

a2+b2=c2

8^2 + 5^2 = c2

64 + 25 = 89

square root of 89 = 9.4

Answer:

\(T = 3 + {S}^{2} \)

Step-by-step explanation:

Fill in the table and you will see the formula above gives you the total. Substitute S=10 for you answer

How derive the formula?

You have to realize that you are give 3 to start with, so that's your starting constant. Filling in the table and subtracting 3 show help you see that the square of want is left after the subtraction is the square of the step.

Let me know is you need more clarification

Answer: Count the dots located on the blot labeled at 2.

There are 6 dots, which mean 6 students read 2 books.

The answer is 6.

Step-by-step explanation:

The area of the sector is A = π cm² and amplitude is a = 0.75 cm

Given data ,

The area of a sector is given by the formula:

A = (1/2) x r² x θ

where r is the radius of the sector and θ is the central angle in radians.

On simplifying , we get

A = π cm²

r = 1.5 cm

Substituting these values into the formula, we get:

π = (1/2) x (1.5)² x θ

π = (3/4) x θ

Solving for θ, we get:

θ = (4/3) x π

The amplitude of the sector is half of the radius, so:

amplitude = (1/2) x 1.5 cm = 0.75 cm

Hence , the amplitude of the sector is 0.75 cm

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