Answer these questions please for 59 points

with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean is false statement.

Sampling is an important tool used to collect data from a population. It is a process by which a subset of individuals from the population is selected to represent the population as a whole. Sampling allows researchers to collect data more quickly and efficiently than if data were collected from the entire population. It is also cost-effective and time-saving. However, it is important to note that no sampling method can guarantee that the sample mean will be exactly the same as the population mean. This is because of the random nature of sampling, which means that a sample mean could be slightly different from the population mean. Therefore, it is important to use appropriate sampling techniques and to be aware of the potential for sampling bias.

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according to question,

given data.

h(x)=8x-3/4+5

then,

ANSWER:

C. (x + 1)² + (y − 3)² =16

STEP-BY-STEP EXPLANATION:

We have that the equation of the circle has the following structure:

We replace the center and the radius and we are left with the following:

This means that the correct answer is C. (x + 1)² + (y − 3)² =16

Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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Answer:

x=-3

Step-by-step explanation:

Given, f(x) = 10^-3 and f(x)=10^x

Compare the equations

10^-3=10^x

So, x=-3

Answer:

The original price was $25

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

$1620.00

Step-by-step explanation:

Answer:

about 25 feet

Step-by-step explanation:

Answer:

13x+3x is the translation for the English phrase "the sum of 13x and 3x).

Step-by-step explanation:

Here, the sum of 13x and 3x means to add so we have to put an addition sign between both numbers. Sorry if you don't understand... my explanation is pretty off but my answer is 100% correct: D

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

\(\mathrm{B.}\) All real numbers except x = 2, x = 5

Step-by-step explanation:

If the denominator is equal to 0 then the function would be undefined.

Set the denominator equal to 0.

x² - 7x + 10 = 0

Factor the left side of the equation.

(x - 5)(x - 2) = 0

Set the factors equal to 0.

x - 5 = 0

x = 5

x - 2 = 0

x = 2

The domain is all real numbers except x = 2 and x = 5.

Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

\(100 + .30m = 50 + .80m\)

\(100 = 50 + .50m\)

\(.50m = 50\)

\(m = 100\)

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

rosa is fastest, jose is slowest

use distance/time to figure the speed

before anything convert the values so that it can be km/h

so basically make the times all to hours is what I did through dividing the minutes by 60

letty

3km÷(40/60)hrs = 4.5km/h

jose

6km ÷ 2hrs= 3km/h

pedro

6km ÷ (90/60) hrs = 4km/h

rosa

9km ÷ (1+(20/60)) hrs = 6.75km/h

therefore rosa is the fastest walking at a speed of 6.75km/h whereas jose is the slowest, walking at a speed of 3km/h

Answer: jnriendwindine

Step-by-step explanation:

Answer:

342 square meters

Step-by-step explanation:

Consider the length of j;

\(j * 9 * 9 = 405,\\j = 405 / 81,\\j = 5 meters\)

Applying the volume of a rectangular prism formula length * width * height = volume, we noted that 9, 9, and j corresponded to the length, width, and height of the rectangular prism and made it equivalent to the volume. Doing so, we solved for j. Now let us solve for the surface area;

\(Area of 1st Face = 5 * 9 = 45,\\Area of 2nd Face = 9 * 9 = 81,\\Area of 3rd Face = 5 * 9 = 45,\\\\Surface Area = 2 * ( 45 ) + 2 * ( 81 ) + 2 * ( 45 ) = 342 square meters\)

Opposite faces are equal in terms of their area, so by finding the area of 3 faces, we multiply their area each by 2 to result in the total surface area!

Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.01

First, determine the total amount of lavender solution needed for the 18 ounces of perfume.

This is 18 ounces x 12% = 2.16 ounces.

Next, determine the amount of lavender solution in the 15% solution. This is 2.16 ounces / 0.15 = 14.4 ounces.

Subtract the amount of lavender solution in the 15% solution from the total amount needed. 2.16 - 14.4 = 0.76 oz

Determine how many ounces of the 6% solution are needed. This is 0.76 oz / 0.06 = 12.67 oz

Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

Hence, Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

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Answer:

59.7 degrees

Step-by-step explanation:

see attached

Answer:

JKM = 36 degrees

JMK = 54 degrees

Step-by-step explanation:

Subtract right angle ( 90) from the 54 degress known and then you get 36 for JKM.  

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

2x^2 - 3x - 2x + 3 = 0

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

x = -(-5) / (2*2) = 5/4

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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Answer:

W > -4

Step-by-step explanation:

8-12 < w

-4 < w

W > -4

The midpoint of the line segment joining the pair of points (8, -8) and (-5, -1) is (1.5, -4.5).

To find the midpoint, we need to take the average of the x-coordinates and the average of the y-coordinates of the two given points.

For the x-coordinate: (8 + (-5))/2 = 3/2 = 1.5

For the y-coordinate: (-8 + (-1))/2 = -9/2 = -4.5

Thus, the midpoint of the line segment is (1.5, -4.5).

In more detail, the midpoint formula is derived by averaging the x-coordinates and y-coordinates separately. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint (xm, ym) is given by:

xm = (x1 + x2)/2

ym = (y1 + y2)/2

In this case, the x-coordinates are 8 and -5, and their average is (8 + (-5))/2 = 1.5. The y-coordinates are -8 and -1, and their average is (-8 + (-1))/2 = -9/2 = -4.5.  

Therefore, the midpoint of the line segment joining the two given points is (1.5, -4.5).

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Answer:

e<18

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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