a research scientist wants to know how many times per hour a certain strand of bacteria reproduces. the mean is found to be 12.5 reproductions and the population standard deviation is known to be 2 . if a sample of 148 was used for the study, construct the 80% confidence interval for the true mean number of reproductions per hour for the bacteria. round your answers to one decimal place.

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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Answer:

680

Step-by-step explanation:

What we should know is how many words he can type in 1/4 minutes. We can do 110 divided by 2.75 which is 40. 40 is the number of words he can type in 1/4 minutes. Now multiply this 17 (4 1/4 = 17/4) and you get 680. I believe he can type 680 words in 4 1/2 minutes. (Make sure my answer is correct)

Answer:what

Step-by-step explanation:what does this mean

Answer:

10 percent

Step-by-step explanation:

7.5 times 10 = 75.

plez give me brainiest

The quality control manager at Sony uses systematic sampling to estimate the percentage of defects in a manufacturing batch of music CDs. Therefore, the quality control manager can estimate that approximately 20% of the entire manufacturing batch of music CDs may have defects based on the systematic sample she obtained.

Systematic sampling involves selecting items from a population at regular intervals. In this case, the quality control manager selects every 16th music CD starting from the ninth. This method ensures that every CD has an equal chance of being selected, providing a representative sample of the batch.

By using systematic sampling, the quality control manager obtains a sample of 140 music CDs. She can then examine these CDs to determine the number of defective ones. Let's assume she finds 28 defective CDs in the sample.

To estimate the percentage of defects in the manufacturing batch, the quality control manager can use the formula:

Defect percentage = (Number of defective CDs / Sample size) *100

Substituting the values, we have \((\frac{28}{140}) * 100 = 20%\).

Therefore, the quality control manager can estimate that approximately 20% of the entire manufacturing batch of music CDs may have defects based on the systematic sample she obtained. This estimation provides valuable information for assessing the quality of the batch and taking necessary actions for improvement.

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a)Can't directly perform nondeterministic computation.b)Other NP problems reduce to it in polynomial time.c) Exists polynomial-time algorithm,can transform instances of L1 into  L2.

a) A deterministic machine cannot directly perform a nondeterministic computation. Nondeterministic computation involves considering all possible choices simultaneously, while a deterministic machine follows a single path of execution. If a nondeterministic computation is simulated on a deterministic machine, it will typically require exploring all possible choices sequentially, resulting in an exponential increase in time complexity.

b) If a solution to an NP-complete problem can be found in polynomial time on a deterministic computer, it implies that P = NP. This would have significant implications for complexity theory because it would mean that all problems in the class NP can be solved efficiently. In terms of reduction, if an NP-complete problem can be solved in polynomial time, it implies that all other NP problems can be reduced to it in polynomial time as well. This would establish a strong connection between NP-complete problems and polynomial-time reductions.

c) When a language L1 is polynomial time reducible to another language L2, it means that there exists a polynomial-time algorithm that can transform instances of L1 into instances of L2. In other words, if there is a polynomial-time reduction from L1 to L2, it implies that any instance of L1 can be efficiently transformed into an instance of L2. This implies that if L2 can be solved in polynomial time, then L1 can also be solved in polynomial time through the reduction. Polynomial-time reductions provide a way to establish relationships between the complexity of different languages and problems, allowing us to analyze the computational difficulty of various tasks.

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The game you are referring to is most likely R0blox's "Mad City".

It is an open-world, multiplayer game that allows players to choose between becoming a hero or a villain. The game's map is split into two parts, a city map and a floating map, both of which are fully explorable.

Players can dig to find hidden items and weapons, and can customize their own vehicles to suit their gameplay style. In "Mad City", players can participate in heists, chases, and battles with other players.

The game's popularity stems from its vast range of customization options, allowing players to tailor their gameplay experience to their liking. With frequent updates and additions, "Mad City" continues to be a fan-favorite on the R0blox platform.

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After d days, the number of lily pads in the pond can be calculated using the formula 2^d. So, if d is the number of days, then the number of lily pads after d days would be 2^d.

Each day, the number of lily pads doubles. So, on the first day, there is 1 lily pad. On the second day, the number doubles to 2. On the third day, it doubles again to 4, and so on. This doubling pattern continues for d days.

To calculate the number of lily pads after d days, we raise 2 to the power of d (2^d). This is because each day, the number of lily pads doubles, which can be represented as 2^1, 2^2, 2^3, and so on. By substituting the value of d into the equation, we can find the number of lily pads after d days.

For example, if d = 5, then the number of lily pads after 5 days would be 2^5 = 32. This means that there would be 32 lily pads in the pond after 5 days.

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The graph of \(f(x) = x^4 - 8x^2 - 4\) is increasing on (-2, 0) and (2, +∞), decreasing on (-∞, -2), has local maximum at (0, -4) and local minima at (-2, -20) and (2, -20), is concave upward on (-∞, -2/√3) and concave downward on (2/√3, +∞), with inflection points at x = -2/√3 and x = 2/√3.

a) To find the intervals on which \(f(x) = x^4 - 8x^2 - 4\) is increasing or decreasing, we need to analyze the sign of the derivative f'(x).

\(f'(x) = 4x^3 - 16x\)

Setting f'(x) = 0 and solving for x:

\(4x^3 - 16x = 0\\4x(x^2 - 4) = 0\\x(x + 2)(x - 2) = 0\)

From this equation, we find three critical points: x = 0, x = -2, and x = 2.

Now, we can construct a sign chart:

Intervals         | (-∞, -2) | (-2, 0) | (0, 2) | (2, +∞)

f'(x) sign          |      -     |      +    |     -    |     +

From the sign chart, we observe that f(x) is increasing on the intervals (-2, 0) and (2, +∞), while it is decreasing on the interval (-∞, -2).

b) To find the local maximum and minimum values of f, we examine the critical points and the behavior of f at these points.

When \(x = -2, f(-2) = (-2)^4 - 8(-2)^2 - 4 = 16 - 32 - 4 = -20\)

When \(x = 0, f(0) = (0)^4 - 8(0)^2 - 4 = 0 - 0 - 4 = -4\)

When \(x = 2, f(2) = (2)^4 - 8(2)^2 - 4 = 16 - 32 - 4 = -20\)

Therefore, the local maximum value of f is -4 at x = 0, and the local minimum value is -20 at x = -2 and x = 2.

c) To find the intervals of concavity and the inflection points, we examine the second derivative f''(x).

\(f''(x) = 12x^2 - 16\)

Setting f''(x) = 0 and solving for x:

\(12x^2 - 16 = 0\\3x^2 - 4 = 0\)

(x - 2/√3)(x + 2/√3) = 0

From this equation, we find two critical points: x = 2/√3 and x = -2/√3.

Now, we can construct a sign chart:

Intervals         | (-∞, -2/√3) | (-2/√3, 2/√3) | (2/√3, +∞)

f''(x) sign         |        +         |           -           |        +

From the sign chart, we observe that f(x) is concave upward on the interval (-∞, -2/√3), and concave downward on the interval (2/√3, +∞).

The inflection points occur at x = -2/√3 and x = 2/√3.

d) Based on the information obtained from parts a-c, we can sketch a rough graph of f(x):

The graph will be increasing on the intervals (-2, 0) and (2, +∞), and decreasing on the interval (-∞, -2). It will have a local maximum at (0, -4) and local minima at (-2, -20) and  (2, -20). The graph will be concave upward on the interval (-∞, -2/√3) and concave downward on the interval (2/√3, +∞). The inflection points will be located at x = -2/√3 and x = 2/√3.

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Answer:

She gave the waiter a $2.67 tip

Answer:

$2.67...26.7% tip

Step-by-step explanation:

10*10=100

7.33*10=73.3

100-73.3=26.7

Answer:

This is gebber gabber but yes

Step-by-step explanation:

A Is Correct

Step-by-step explanation:

just did it on edge

Answer:

C. b || c

Step-by-step explanation:

Answer:

c) b // c

Step-by-step explanation:

Two lines are said to be parallel when one of the conditions is true.

1) Corresponding angles are equal.

2) Alternate interior angles are equal.

3) Co interior angles are supplementary.

∠1 =115°   {Vertically opposite angles}

∠1 = ∠2 = 115°

If corresponding angles are equal, then the lines are parallel. So, b // c

The value of this continuous stream of  compound interest  after 18 years  will be \(\$2526\).

The interest  that we earn even on interest is termed as compound interest .

We know that formulae for compound interest when compounded annually will be \(A = P(1 + \dfrac{r}{n})^{nt}\)

Where A is the amount,

P is the principal.

r is the interest rate,

t is the time (in years).

On putting   the values in the formulae , we get:

\(A = 2000 ( 1 +\dfrac{1.3}{100})^{18}\)

On simplifying, we get:

 A = \(2000\times1.263\)

A = \(2526.24\)

Rounding to the nearest integer, we get:

A =\(\$2526\)

Therefore, the value of the continuous stream after 18 years will be \(\$2526.\)

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Answer: IQR = 16

Step-by-step explanation:

Given the following data:

Cost of concert :

CITY : Q, R, S, T, U, V, W, X, Y, Z

Price : 35,36,42,38, 24,29,25, 44,49, 26

Interquartile range (IQR) = Q3 - Q1

Where,

Q3 = the upper quartile

Q1 = lower quartile

Rearranging the data:

24,25,26,29,35,36,38,42,44,49

Q3 = 42

Q1 = 26

IQR = (42 - 26) = 16

Answer:

18 (for the IQR)

Step-by-step explanation:

Well, follow the equation the other person did. You'd get the right answer if you do the stuff right. And for people where it has another part to it, the answer would be D.

I hope this helps :)

Answer:

b = -8

Step-by-step explanation:

Attachment.....added.

Hope it helps :)

Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.

Reason: E.g. P(a<x>b) = 0.95

confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.

A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.

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Thus, the ratio of the area of larger triangle to the area of smaller triangle

is found as 5:1.

An instrument for comparing the sizes of two or more quantities in proportion to one another is called a ratio. A list of the structured equivalent ratios of every given ratio is called a ratio table. By multiplying as well as dividing the 2 terms of such a ratio by an identical number, equivalent ratios can be created.

Given data:

Area of triangle = 1/2* base * height

Ratios:

area of larger triangle / area of smaller triangle = (1/2*B*H) / (1/2*b*h)

area of larger triangle / area of smaller triangle = B*H / b*h

area of larger triangle / area of smaller triangle = 10*5 / 5*2

area of larger triangle / area of smaller triangle = 50 / 10

area of larger triangle / area of smaller triangle = 5/ 1 = 5:1

Thus, the ratio of the area of larger triangle to the area of smaller triangle

is found as 5:1.

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Complete question:

what is the ratio of the area of larger triangle to the area of smaller triangle ? express your answer as a common fraction.

Dimension of  larger triangle: base B = 10 cm, Height H = 5 cm.

Dimension of  smaller triangle : base b = 5 cm, Height H = 2 cm.

This is a geometric sequence with a common ratio of 2. So the predicted order quantity for September is 1376 copies.

In a geometric sequence, each term is found by multiplying the previous term by a fixed number called the common ratio. In this case, we can see that each month's order quantity is double the previous month's order quantity. This makes it a geometric sequence with a common ratio of 2.

To verify, we can divide any term by its preceding term and see that we always get the same ratio of 2. For example:

June order / May order = 172 / 86 = 2

July order / June order = 344 / 172 = 2

August order / July order = 688 / 344 = 2

Knowing that this is a geometric sequence with a common ratio of 2, we can use the formula for the nth term of a geometric sequence to find the order quantity for any given month:

an = a1 * r^(n-1)

where:

an = the nth term

a1 = the first term

r = the common ratio

n = the number of terms

For example, to find the order quantity for September (the 5th month), we can plug in the values:

a5 = 86 * 2^(5-1) = 86 * 16 = 1376

So the predicted order quantity for September is 1376 copies.

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Answer:

D

Step-by-step explanation:

Answer:

b. The entire set of students that park at the university.

Step-by-step explanation:

Since the University is interested in determining the average parking time of its students, the population of interest is the entire set of students that park at the university.

The correct option is B.

Note that the 300 students whose parking time was recorded forms a sample of the population under study.

Answer: I think it’s 30 you can do it yourself by drawing a rectangle and then multiplying the Length times width

Step-by-step explanation:

Answer: i think 8

Step-by-step explanation:

Answer:

Hi there

Your answer is

No solution

Step-by-step explanation:

x+1/2 = x-1/2

-x

1/2 = -1/2

this is NO SOLUTION

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

Answer:

method 2 use the radians sector area formula

Answer:176 is the answer if your asking for the outer circles circumfer

Step-by-step explanation:

A, C, D, and E are the correct statements among the given statement.

The correct statements are:
A. If the first-principal minor of the Hessian matrix, | H1|>0, the second-principal minor of the Hessian matrix, |H2|>0, ..., and the nth principal minor of the Hessian matrix, |Hn| > 0, that is, if all principal minors of the Hessian matrix are greater than zero, at the critical point the function is at a relative maximum.
C. The Hessian matrix is a special matrix with all second-order partial derivatives of a given function as its elements.
D. In a 2x2 Hessian matrix, the principal minors of the Hessian matrix are the determinants of the matrices found by starting with the first element in the first row and then expanding by adding the next row and column.
E. If the first-principal minor of the Hessian matrix, |H1| < 0, the second-principal minor of the Hessian matrix, |H2|<0, and the nth principal minor of the Hessian matrix, |Hn| < 0, that is, if all principal minors of the Hessian matrix are negative, at the critical point the function is at a relative minimum.

Note: Statement B is incorrect as the size of the Hessian matrix depends on the number of variables involved in the function, and it can be larger than 2x2.

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P = 2l + 2w

Subtract both sides by 2w

P - 2w = 2l

Divide both sides by 2

(P - 2w) / 2 = l

In our problem,

w = 7 in

P = 42 in

Let's plug our values into the formula above.

(42 in - 2(7 in) / 2 = l

(42 in - 14 in) / 2 = l

28 / 2 = l

14 in = length