how many feet are in 48 miles plz need help

To find the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company, we can use the following formula: CI = X ± Zα/2 * (σ/√n).

Where:

X = sample mean = 325.5 mg
σ = sample standard deviation = 10.3 mg
n = sample size = 80
Zα/2 = the critical value of the standard normal distribution corresponding to a 90% confidence level, which is 1.645.

Plugging in the values, we get:

CI = 325.5 ± 1.645 * (10.3/√80)
CI = 325.5 ± 2.38
CI = (323.12, 327.88)

Therefore, we can say with 90% confidence that the mean amount of drug in all the pills manufactured by the company is between 323.12 mg and 327.88 mg.


1. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:
SE = 10.3 mg / √80 ≈ 1.15 mg

2. Find the critical value (z) for a 90% confidence interval using a standard normal distribution table or calculator. In this case, the critical value is approximately 1.645.

3. Calculate the margin of error (ME) by multiplying the critical value (z) by the standard error (SE):
ME = 1.645 × 1.15 mg ≈ 1.89 mg

4. Determine the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower Limit = 325.5 mg - 1.89 mg ≈ 323.61 mg
Upper Limit = 325.5 mg + 1.89 mg ≈ 327.39 mg

Thus, the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company is approximately 323.61 mg to 327.39 mg.

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7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Rational numbers can be represented in this form x/y. Rational numbers are not repetitive when express in decimal form .

Base on the definition the rational numbers in the optiona are as follows

The answer is D and E.

.

Step-by-step explanation:

5x+6y = 61

2x+4y= 34     <=====multiply this equation by -1.5 to get :

-3x -6y = - 51   <===now, dd this to the top equation (this will eliminate 'y')

2x = 10

x = 5       <===use this value of 'x' in one of the equations to calculate 'y'

5x + 6y = 61

5(5) + 6y = 61

         6y = 36

          y = 6

Answer: x = -1

Step-by-step explanation:

6x-2x+8 = x+5

4x+8 = x+5

3x = -3

x = -1

Answer:

4x + 8 = x + 5

4x - x = 5 - 8

3x = -3

x = -3/3

x = -1

The range of (X,Y) is the region where x+y<1 and x,y≥0. This forms a triangle with vertices at (0,0), (0,1), and (1,0).

To find c, we integrate the joint PDF over the range of (X,Y) and set it equal to 1. This gives us c=2. The marginal PDFs are found by integrating the joint PDF over the other variable.

fX(x) = ∫(0 to 1-x) (2x+1)dy = 2x + 1 - 2x² - x³, and fY(y) = ∫(0 to 1-y) (2y+1)dx = 2y + 1 - y² - 2y³.

To find P(Y<2X²), we integrate the joint PDF over the region where y<2x² and x+y<1. This gives us P(Y<2X²) = ∫(0 to 1/2) ∫(0 to √(y/2)) (2x+1) dx dy + ∫(1/2 to 1) ∫(0 to 1-y) (2x+1) dx dy = 13/24.

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Answer:

The answer is a rotation 90

Step-by-step explanation:

Answer:

6 2/3

Step-by-step explanation:

Rectangle has four sides. The total weight of the circle is 20 grams.

A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.

As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,

\(\text{Weight of the reactangle} = \dfrac{\text{Total weight of the reactangle}}{\text{Number of Triangles}}\)

\(\text{Weight of the reactangle} = \dfrac{80}{2} = 40\rm\ grams\)

It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,

\(\text{Weight of the triangle} = 2 \times \text{Weight of the circle}\)

\(40= 2 \times \text{Weight of the circle}\\\\\text{Weight of the circle} = 20\rm\ grams\)

Hence, the total weight of the circle is 20 grams.

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The answer to the question is: "the sample mean". In a confidence interval, the sample mean is always between the upper and lower limits of the confidence interval.

A confidence interval is a range of values, derived from a sample of data, that is used to estimate an unknown population parameter with a certain degree of confidence.

The correct answer is "The process used for this calculation has a probability of 0.95 of delivering an interval containing the true mean."

A 95% confidence interval means that if the study is repeated many times, 95% of the confidence intervals calculated would contain the true population mean. Therefore, the process used for this calculation has a probability of 0.95 of delivering an interval containing the true mean.

The answer is "( Upper Limit − Lower Limit ) / 2".

The margin of error is a measure of the accuracy of the sample mean as an estimate of the population mean. It is calculated by taking the difference between the upper and lower limits of the confidence interval and dividing it by two.

The answer is "S.W. p-value less than .05". There are three assumptions underlying inference about one mean: normality, independence, and equality of variances. The Shapiro-Wilk test of normality is a check to satisfy the normality assumption, and the p-value should be greater than .05. The assumption of independence is usually satisfied if the data are collected through a simple random sample. The equality of variances is checked with the F-test or by comparing standard deviations, and there is no specific cutoff for this check.

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The average total cost can be found by dividing the total cost by the quantity produced. In this case, the total cost function is given as C = 90 + 35Q + 25Q^2 + 10Q^3, and we want to find the average total cost when Q = 2.

To find the average total cost, we need to calculate the total cost when Q = 2. Plugging Q = 2 into the cost function, we get:
C = 90 + 35(2) + 25(2^2) + 10(2^3)
C = 90 + 70 + 100 + 80
C = 340

Next, we divide the total cost by the quantity produced:
Average Total Cost = Total Cost / Quantity
Average Total Cost = 340 / 2
Average Total Cost = 170

Therefore, the value of average total cost when Q = 2 is $170.

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Answer:

-6

Step-by-step explanation:

10x1 + 4y = -14

10+4y=-14

4y=-14-10

4y = -24

y = -24/4

y = -6

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer: x = 2.16

Step-by-step explanation:

The solution of the expression is, x = 2.16

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3.5x/9 = 4.2/5

Now, We can simplify for x as;

⇒ 3.5x/9 = 4.2/5

⇒ 3.5x = 4.2 × 9 / 5

⇒ 3.5x = 7.56

⇒ x = 2.16

Thus, The solution is, x = 2.16

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The base of the $4,560 which is 65% of the base is $7,015.38.

This  represented by the symbol %, is the division of any number by 100. The expression 25%, for example, means that 25 parts of a whole were divided into 100 parts.

The portion of 65% means that the amount given as $4,560 is only a part of the   whole amount known as base, which is unknown as the base, in other words, the base amount can be determined the portion divided by the percentage of the portion:

65%=$4560

1%=$4560/65

1%=$70.1538461538462

100%=$70.1538461538462*100

100%=$ 7,015.38

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The percentage discount on the hammers is about 21%.

The discount is the difference between the original price and the discounted price.

Discount = $12 - $9.50

subtract the numbers

= $2.50

To find the percentage discount, we divide the discount by the original price and multiply by 100

Percentage discount = ( Discount / Original price ) x 100

Substitute the values in the equation and find the percentage discount

Percentage discount = ( $2.50 / $12 ) x 100

Do the arithmetic operation

Percentage discount = 20.83%

Rounding to the nearest whole percentage, the discount is approximately equal to 21%.

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The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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(a) To find Cox and kn' for the given process technology, we can use the following equations: Cox = εox / tox kn' = μnCox where εox is the permittivity of the oxide layer and tox is the thickness of the oxide layer. Given that tox = 4 nm and εox is typically around 3.45ε0 (where ε0 is the vacuum permittivity), we can calculate Cox as:

Cox = (3.45ε0) / (4 nm)

To find kn', we need the value of Cox. Using the given μn = 450 cm^2/V·s, we have:

kn' = μn * Cox

Substituting the values, we can calculate Cox and kn'.

(b) To operate the MOSFET in the saturation region with a current iD = 100 μA, we can use the following equations:

vOV = vGS - Vt

vDSmin = vDSsat = vGS - Vt

Given that W/L = 1.8 μm / 0.18 μm = 10 and iD = 100 μA, we can calculate vOV as:

vOV = sqrt(2iD / (kn' * W/L))

vGS = vOV + Vt

vDSmin = vDSsat = vOV + Vt

Substituting the known values, we can calculate vOV, vGS, and vDSmin.

(c) To operate the device as a 1000 Ω resistor for very small vDS, we need to set vOV and vGS such that the MOSFET is in the triode region. In the triode region, the device acts as a resistor.

For very small vDS, the MOSFET is in the triode region when:

vOV > vGS - Vt

vGS = Vt + vOV

Substituting the values, we can determine the required vOV and vGS to operate the device as a 1000 Ω resistor for very small vDS.

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Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%

Answer: 4 hours in total

Step-by-step explanation:

$56 divided by $14 per hour is equal to 4 hours.

Answer:

1.00 significant figures

The required, 0.9967 rounded to 2 significant figures is approximately 1.0.

To round 0.9967 to 2 significant figures, we look at the first two non-zero digits: 0.9967

The first two non-zero digits are 99. Since there is no third significant digit, we round according to the following rules:

If the third digit is 5 or greater, round up the second digit.

If the third digit is less than 5, leave the second digit unchanged.

In this case, the third digit is 6, which is greater than 5. So, we round up the second digit:

Thus, 0.9967 rounded to 2 significant figures is approximately 1.0.

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The last price value for a bond table is $ 918.85.

Finding the last price:

The fomrula used to find the last price is given by

        Net amount = number of bonds x price x (100% - rate)

Where the rate is the percentage of the face value paid as commission, and the price is the price per bond as a percentage of the face value.

Here we have

A bond table for a sale of 40 bonds that resulted in a net amount of 36,754

To find the last price we need to use the formula:

Net amount = number of bonds × price × (100% - rate)

We can rearrange this formula to solve for the price:

Price = Net amount / (number of bonds x (100% - rate))

Substitute the given values, and we get:

Price = $36,754 / (40 x (100% - 0%)) = $918.85  

Therefore,

The last price value for a bond table is $ 918.85.

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Answer:

Step-by-step explanation:

Firstly, we can simplify the ratio of boys to girls to  

1

:

2

.

Then, to find out how many students each ratio represents, we add up  

1

and  

2

to get  

3

(

1

+

2

=

3

).

By dividing  

3

by the number of students, we can find how many students ONE ratio represents:  

24

3

=

8

.

So ONE ratio is equal to  

8

boys. Since our simplified ratio of boys to girls is  

1

:

2

already, we do not have to do further multiplying - the number of boys is simply  

8

.

For the girls, simply multiply  

2

by  

8

to get  

16

.

Check:  

8

boys

+

18

girls

=

24

students

.

Answer:

Since each tile is 1/2 inch on each side, Justin will need 15 tiles to make up a 4-inch-radius circle.

The p-value, which measures the strength of evidence against the null hypothesis, is extremely small. This indicates that the observed percentage of uninsured patients (35 out of 140) is significantly lower than the expected percentage of 32%.

Given that 32% of emergency room visitors are uninsured, we can calculate the expected number of uninsured patients in a sample of 140 patients:

Expected number of uninsured patients = (32% / 100%) * 140 = 0.32 * 140 = 44.8

Now, let's calculate the test statistic, which is the z-score, using the formula:

z = (observed value - expected value) / standard deviation

where p is the expected percentage of uninsured patients (32% or 0.32) and n is the sample size (140).

standard deviation = √((0.32 * (1 - 0.32)) / 140) = √(0.21824 / 140) = 0.03753

Now we can calculate the z-score:

z = (35 - 44.8) / 0.03753 = -9.8 / 0.03753 = -261.4

Since the z-score is very large (far into the tail of the distribution), the p-value will be extremely small, approaching zero. However, we can't directly find the exact p-value from the z-score table or calculator because it is beyond the limit of standard tables. We can approximate it as essentially zero.

Therefore, the p-value of the test statistic is approximately zero (0.0000) when rounded to four decimal places.

Therefore, based on this data, there is strong evidence to support the claim that the percentage of uninsured patients is below the expected percentage.

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Answer:

57.50

Step-by-step explanation:

simply divide 345/6 which equals 57.5 which is 57.50

Answer:

price before fee was applied is $46.25

Step-by-step explanation:

$345/6= $57.5

divide total cost by number of tickets bought

$57.5-$11.25= $46.25

subtract the fee applied

Central angle Θ of the circle is equal to π/3 radians.

A radian is another unit of measurement that is used to measure angles. A degree is a unit of measurement that is used to measure circles, spheres, and angles. The radian, or one pi radian, is only half the diameter of a circle, which has 360 degrees, or its entire area.

Central angle of the circle is equal to:

\(\pi=3\times\Phi\)

\(\Phi=\dfrac{\pi }{3} \ \text{radians}\)

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