5-11. A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with 20. Fifteen batch viscosity measurements are given as follows: 724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749, 739, 747, 742. A process change is made that involves switching the type of catalyst used in the process. Following the process change, eight batch viscosity measurements are taken: 735, 775, 729, 755, 783, 760, 738, 780. Assume that process variability is unaffected by the catalyst change. Find a 90% CI on the difference in mean batch viscosity resulting from the process change. What is the practical meaning of this interval

The problem involves the use of logic and creative thinking. The number of people in the garden is 35.

Given

When you enter the garden, the number of people increases by 1

So, the number of people in the garden is 35.

When 30 people are killed, there are still 35 people.

• 30 dead people
• 5 people alive

Hence, the number of people in the garden is 35.

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Answer:

5

Step-by-step explanation:

The coordinatepoints to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.

The given functions are f(x) = 3x + 4 and h(x) = f(x) +1.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, h(x)=3x+5

The graph of f(x) = 3x + 4 is as follows:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0, 4)

The coordinatepoints to plot on the graph are (0, 4) and (1, 7)

The graph of h(x)=3x+5 is as follows:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0, 5)

The coordinate points to plot on the graph are (0, 5) and (1, 8)

The coordinatepoints to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.

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The image of triangle △RST after the glide reflection, which involves a translation of (x, y) → (x - 3, y) followed by a reflection in the line y = -1, is △R'S'T' with vertices R'(1, -2), S'(4, -5), and T'(3, -6).

To graph triangle △RST with vertices R(4, 1), S(7, 3), and T(6, 4), and its image after the glide reflection, we'll follow these steps:

Start by plotting the original triangle △RST using the given vertices:

R(4, 1)

S(7, 3)

T(6, 4)

Now, let's apply the translation to every vertex of the triangle.

The translation (x, y) → (x - 3, y) shifts each point 3 units to the left (in the negative x-direction).

Apply this translation to each vertex:

R' = (4 - 3, 1) = (1, 1)

S' = (7 - 3, 3) = (4, 3)

T' = (6 - 3, 4) = (3, 4)

Next, we'll apply the reflection in the line y = -1 to the translated vertices. The reflection in this line flips each point across the line.

To do this, we'll calculate the distance between each point and the line y = -1 and then move the same distance in the opposite direction.

R'' is reflected across the line y = -1 to (1, -2).

S'' is reflected across the line y = -1 to (4, -5).

T'' is reflected across the line y = -1 to (3, -6).

Now, we have the vertices of the image triangle △R'S'T'.

You can plot these points on the same graph as the original triangle to visualize the glide reflection transformation.

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Answer:

Step-by-step explanation:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Answer:

Its B

Step-by-step explanation:

Answer:

2x + y

Step-by-step explanation:

x² + xy - y² = 4

→ Remember the rule, bring the power down then minus 1

2x + y