The amounts of nicotine in a certain brand of cigarette are normally distributed with a meank of 0.946 g and standard deviation of 0.289 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine In what range would you expect to find the middle 68% of amounts of nicotine in these cigarettes (assuming the mean has not changed)? Between and If you were to draw samples of size 41 from this population, in what range find the middle 68% of most average amounts of nicotine in' would you expect to the cigarettes in the sample? Between and Enter your answers rounded to 3 decimal places_

Answer:

a. 9ab

b. 9a

C. 4a

d. 2a^2b^2

e. -8c^3

f. 12x^3y^3

g. 25a^2

h. 2b^2

I. -2ab^2

Step-by-step explanation:

Hope this helps! Mark brainliest please worked a long time

Step-by-step explanation:

\( - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} \)

So choose option 1st

-1 67/93

Hope it will help :)

Answer: -1 67/93

Explain:

The first one is the answer because you have to keep change and flip and it has to be a negative because when you divide a negative by a positive it gives you a negative

Can I have a brainliest

Answer:

B

Step-by-step explanation:

Now I get an extra cookie.

Answer:

Length of the rectangle = 16.5 feet

Step-by-step explanation:

Border length bought = 62.5 feet

Including 5 feet extra

Border length needed = 62.5 feet - 5 feet

= 57.5 feet

Border needed = perimeter of the rectangle = 57.5 feet

Width of the rectangle = 12.25 feet

Length of the rectangle = x feet

Perimeter of a rectangle = 2(Length + width)

57.5 =2(x + 12.25)

57.5 = 2x + 24.5

57.5 - 24.5 = 2x

33 = 2x

x = 33/2

x = 16.5 feet

Length of the rectangle = 16.5 feet

The number of centimetres in the 1 yard will be 9.144 cm.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Given that:-

Metric System Units

1 inch = 2.54 centimetres

1 foot = 0.3048 meters

1 mile = 1.61 kilometres

1 yard = 3 feet

1 yard = 36 inches

First, we will calculate 1 yard to feet.

1 yard = 3 feet

1 feet = 0.3048 meters

1 feet = 3.048 centimeters

1 yard = 3 x 3.048 centimeters

1 yard = 9.144 centimeters

Hence, the length of 1 yard in cm is 9.144 cm.

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Your investment of $10000 compounded continuously at 6% p.a. would be worth $14,366.00 after 6 years.

If you invest $10000 compounded continuously at 6% p.a., the formula for calculating the value of your investment after 6 years would be:

A = Pe^(rt)

Where A is the final amount, P is the principal investment amount, e is Euler's number (approximately 2.718), r is the interest rate (in decimal form), and t is the time period (in years).

Plugging in the given values, we get:

A = 10000e^(0.06*6)

A = 10000e^(0.36)

A = 10000*1.4366

A = $14,366.00

Therefore, your investment of $10000 compounded continuously at 6% p.a. would be worth $14,366.00 after 6 years.

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Answer:

(2a-3b) (5x-2y)

Step-by-step explanation:

Taking common from two variables

5x(2a-3b) -2y(2a-3b)

(2a-3b) (5x-2y) Ans/

Answer:

Distance = speed x time.

Step-by-step explanation:

Hope I helped

Answer:

C. five samples.

Step-by-step explanation:

The points at which the direction of the fastest change of a function can be found are A. Critical points, as they are the points where the derivative of a function is either zero or undefined.

At critical points, the slope of the function is changing, indicating a potential change in the direction of the fastest change. Critical points can correspond to local minimum points, local maximum points, or points of inflection, depending on the behavior of the function around those points.

To find the critical points of a function, we need to take the derivative of the function and set it equal to zero or find points where the derivative is undefined. By solving this equation or finding points of undefinedness, we can determine the x-values that correspond to the critical points.

It's important to note that while critical points indicate a change in the direction of fastest change, they do not necessarily guarantee the presence of minimum or maximum points. Additional analysis is required to determine whether a critical point corresponds to a minimum point, maximum point, or neither.

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The ∠ ABE and ∠HCD are alternate exterior angle.option(D) is correct.

An alternate exterior angle is an angle formed by a pair of lines and a transversal, such that the angle is located on the outside of the two lines, and on the opposite side of the transversal. More specifically, if line AB is intersected by transversal CD at point E, and angles 1 and 2 are formed as shown in the diagram below, then angle 1 and angle 2 are alternate exterior angles:

Alternate exterior angles are congruent if the two intersected lines are parallel. This means that the measure of angle 1 is equal to the measure of angle 2.

So, ∠ ABE and ∠HCD are alternate exterior angle.option(D) is correct.

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Answer:

21 meters

Step-by-step explanation:

First find the circumference of the tire:

c = πd

c = 3.14(670)

c = 2103.8

Multiply by 10 to find the distance the bike has travelled:

2103.8*10 = 21,038

Convert millimeters to meters:

21,038 millimeters ≈ 21 meters

Answer:

NEEEEEEGAARRRRR

Step-by-step explanation:

The equation of the tangent line to the curve is y = 7x -5

From the question, we have the information available is:

The equation is :

\(y =x^4+2x^2-x\)

Now, We have to find the equation of the tangent line to the curve \(y =x^4+2x^2-x\) at (1, 2)

Now, According to the question:

First, we have to differentiate w.r.t x

\(\frac{dy}{dx}=4x^3+4x-1\).....(1)

We now find the vale of the derivative at (1, 2)

From the points :

y = 2 when x = 1

Put the value of x = 1 in (1)

dy/dx = 4 + 4 - 1 = 7

So at the tangent passes through the coordinate (1, 2) and has gradient

m = 7.

Now, We have to use the :

\(y -y_1=m(x-x_1)\)

Plug all the values and we get the equation:

=> y - 2 = 7(x - 1)

=> y - 2 = 7x - 7

=> y = 7x - 7 + 2

=> y = 7x -5

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The given question is incomplete and also improper form, So i take similar question:

How do you find the equation of the tangent line to the curve

\(y =x^4+2x^2-x\) at (1, 2)

Answer:

it is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

It's a linear equation but not a parallel line to any axis

The general form is

m is rate of change.

Hence y is directly proportional to x if m is kept constant

So option B is correct

Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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The area of this figure based on the information will be 10mm²

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

From the information, the shape gas sides 5mm and 2mm. The area of this figure will be:

= Length × Width

= 5mm × 2mm

= 10mm²

In conclusion, the area of this figure based on the information will be 10mm²

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A shape gas sides 5mm and 2mm. What is the area of this figure 9mm 7mm 2mm 3mm 10mm

Answer:

The answer is 3.75

Step-by-step explanation:

When you multiply 3 x 5 and then divide that by 4 you have your answer. This method is called cross multiplying, you likely learned this in school and normally it is done in a chart/table.

3/k=4/5

3   4

4    5

The requried value of k that satisfies the equation (3/k) = (4/5) is k = 15/4 or 3.75.

Solving for k in the equation (3/k) = (4/5):

To eliminate the fractions, we can cross-multiply. Cross-multiplying means multiplying the numerator of the left fraction with the denominator of the right fraction, and vice versa:

3 * 5 = 4 * k

This simplifies to:

15 = 4k

To isolate k, we divide both sides of the equation by 4:

15/4 = k

Therefore, the value of k that satisfies the equation (3/k) = (4/5) is k = 15/4 or 3.75.

This means that when we substitute k = 3.75 back into the equation, the left side (3/k) will be equal to the right side (4/5).

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In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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Answer: 6.35

hope this helps.

1 1/2 x 3 = 4 1/2

1 1/2 + 1 1/2 + 1 1/2 = 4 1/2

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

35000000000

Step-by-step explanation:

i used a calculator hope this helps

Answer:

a) b = 8, c = 13

b) The equation of graph B is y = -x² + 3

Step-by-step explanation:

* Let us talk about the transformation

In the given question

∵ y = x² - 3

∵ The graph is translated 4 units to the left

→ That means substitute x by x + 4 as 4th rule above

∴ y = (x + 4)² - 3

→ Solve the bracket to put it in the form of y = ax² + bx + c

∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)

∴ (x + 4)² = x² + 4x + 4x + 16

→ Add the like terms

∴ (x + 4)² = x² + 8x + 16

→ Substitute it in the y above

∴ y = x² + 8x + 16 - 3

→ Add the like terms

∴ y = x² + 8x + 13

∴ b = 8 and c = 13

a) b = 8, c = 13

∵ The graph A is reflected in the x-axis

→ That means y will change to -y as 1st rule above

∴ -y = (x² - 3)

→ Multiply both sides by -1 to make y positive

∴ y = -(x² - 3)

→ Multiply the bracket by the negative sign

∴ y = -x² + 3

b) The equation of graph B is y = -x² + 3

Answer:

10x

Step-by-step explanation:

Answer:

1 and 5/18 I believe!

Step-by-step explanation:

Hope this helps

Answer:

0.74

Step-by-step explanation:

This is the correct answer. The reason is that 23/24 equals 0.9583. Next, when you divide 18/14, the answer is 1.29. When you divide 0.9583/1.29, the answer is 0.74

Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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The flow rate of 5 MGD is equivalent to 7.73615 cfs

To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.

Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:

5 MGD x 1.54723 cfs/MGD = 7.73615 cfs

So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.

It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.

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Answer:

324ft³

Step-by-step explanation:

volume for a cube : height x length x width

so,

v = 6ft x 6ft x 9ft

= 324ft³

Answer:

Explanation:

Here, we want to plot the graph of z1 plus z2

Firstly,let us identify the coordinates of z1 and z2

We can get this from the graph provided

z1 is (8,-4)

z2 is (-2,-3)

The sum of these two will be : (6,-7)

To plot this, we draw dotted vertical line at the point x = 6 and dotted horizontal line at the point y = -7

Wherever these two dotted lines meet is the point z

Answer:

along the x it moved 3 and along the y it went 4