QUESTION 1 What is Statistical Process Control and Control Charts? O It is a method that uses basic graphics and statistical tools to analyze, control and reduce variability within a process by taking

The correct graph of the piece-wise function in this problem is given by the following option:

Graph C.

A piece-wise function is a function that has different definitions, depending on the intervals of the input x of the function.

For this problem the function has three definitions, given as follows:

This means that the function is not defined at x = 2, that is, it has an open circle at x = 2, meaning that Graph A is incorrect.

Graph C is then the correct graph, as:

More can be learned about piece-wise functions at https://brainly.com/question/19358926

#SPJ1

Answer:

The highest point reached by the firework is approximately 30.6 meters

Step-by-step explanation:

The upward velocity of the fireworks is given as 24.5 m/s

The equation of projectile motion for an object fired vertically upwards can be written as follows;

v² = u² - 2·g·s

Where;

v = The final velocity of the motion = 0 m/s at maximum height

u = The final velocity of the motion =  24.5 m/s

g = Acceleration due to gravity = 9.81 m/s²

s = The height reached = (The highest point reached by the firework)

By substituting the values, we have;

(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s

Which gives;

2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²

19.62 m/s² × s = 600.25 m²/s²

s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters

The highest point reached by the firework is approximately 30.6 meters

The vertex of the quadratic equation is at (4, -7)

For a general quadratic:

y = ax² + bx + c

The vertex is at:

x = -b/2a

So in our case with:

f(x)= x² - 8x - 9

The vertex is at:

x = 8/2*1 = 4

And the y-value of the vertex is:

f(4) = 4² - 8*4 - 9 = -7

So the vertex is at (4, -7)

Learn more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ1

Answer:

\(50\:\text{kg water}\)

Step-by-step explanation:

This question implies the constant rate or proportion of water to mass. Therefore, we can set up the following equation:

\(\frac{60}{90}=\frac{x}{75},\\\\x=\frac{75\cdot 60}{90}=\boxed{50\:\text{kg water}}\)

Answer:

50 kg

Step-by-step explanation:

90 kg = 60kg

/90         /90

1 kg = 0.667kg

1 kg  = 0.667kg

* 75kg    * 75kg

75kg = 50 kg

Answer:

its 100 times the place value

Step-by-step explanation:

Since ones box is is before the decimal, and the hundredths place is behind the decimal, so basically 100 times of where the hundredths place is 100 times which is equal to 1

The number of individuals who took the quiz is D) 21.

To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.

Let's add up the frequencies:

6 + 5 + 5 + 3 + 2 = 21

The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.

Therefore, the correct answer is D. 21.

Know more about frequency distribution here,

https://brainly.com/question/30371143

#SPJ11

Answer:

The value of m = -2 .

Step-by-step explanation:

=> -3(2m-7)=5(m+8)+3

=> -6m+21 = 5m+40 +3

=> -6m+21 = 5m +43

=> 21-43 = 5m+6m

=> -22 = 11m

=> -22/11 = m

=> m = -2

Answer: standard form  f(x)=8x

Step-by- step explanation:

Answer:

2(3x+6)=18

6x+12=18

6x+12-12+18-12

6x=6

6x/6=6/6

x=1

Step-by-step explanation:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer: 420 kg

Step-by-step explanation: 80(the weight of each person) x5 (the ppl) = 400

400+20(the weight of tools) =420

To ensure that the light is on, the two switches should be in opposite positions—when one switch is up, the other switch should be down. This ensures that the circuit is complete and allows the current to flow, turning on the light.

In general, to have the light turned on, the two switches controlling the light in the stairwell should be positioned in opposite states. This means that if one switch is up (in the on position), the other switch should be down (in the off position). This configuration is known as a three-way switch system, commonly used in staircase lighting.

The reason behind this setup is the way the switches are wired. When the two switches are in opposite positions, it allows for the completion of an electrical circuit. With one switch in the up position and the other switch in the down position, the circuit is closed, and the current can flow, resulting in the light being turned on.

On the other hand, if both switches are in the same position (either both up or both down), the circuit is open, and the current cannot flow, keeping the light off.

By positioning the switches in opposite states, Venus can ensure that the light is on when needed, providing convenient control over the stairwell lighting.

To know more about positioning the switches refer here:

https://brainly.com/question/15459918

#SPJ11

Answer:

-8 and 1

Step-by-step explanation:

-8 × 1 = -8

-8 + 1 = -7

The two unknown number are x=-8 or 1 and y=1 or -8.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, two numbers that multiply to -8 and add to -7.

Let the two unknown numbers be x and y.

Here, xy=-8 ------(i)

x+y=-7 ------(ii)

Substitute y=-7-x in the equation (i), we get

x(-7-x)=-8

-7x-x²=-8

x²+7x-8=0

By using splitting middle term method, we get

x²+8x-1x-8=0

x(x+8)-1(x+8)=0

(x+8)(x-1)=0

x=-8 and x=1

Substitute x=-8 in equation (ii), we get

-8+y=-7

y=1

Substitute x=1 in equation (ii), we get

1+y=-7

y=-8

Therefore, the two number are x=-8 or 1 and y=1 or -8.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

The standard deviation of the sampling distribution of sample means, based on samples of the amounts of weight lost by 72 people on this diet, is approximately 0.695 pounds.

To calculate the standard deviation of the sampling distribution of sample means, we need to use the formula for the standard deviation of a sample mean. This formula states that the standard deviation of the sampling distribution (σ) is equal to the standard deviation of the population (σ) divided by the square root of the sample size (n).

Given that the population standard deviation (σ) is 5.9 pounds and the sample size (n) is 72, we can plug these values into the formula:

Standard Deviation of the Sampling Distribution (σ) = σ / √n

σ = 5.9 pounds

n = 72

Substituting these values, we get:

Standard Deviation of the Sampling Distribution (σ) = 5.9 / √72

To find the standard deviation of the sampling distribution, we need to evaluate the square root of 72. Using a calculator or mathematical software, we find that √72 is approximately 8.49.

Now, let's calculate the standard deviation of the sampling distribution:

Standard Deviation of the Sampling Distribution (σ) = 5.9 / 8.49 ≈ 0.695 pounds (rounded to two decimal places)

Therefore, the standard deviation of the sampling distribution of sample means, based on samples of the amounts of weight lost by 72 people on this diet, is approximately 0.695 pounds.

This value represents the average amount of variation or dispersion in the means of different samples taken from the population. It indicates how much the sample means are likely to deviate from the population mean.

For more such questions on standard deviation visit:

https://brainly.com/question/475676

#SPJ11

The number of real solutions of the system are 2 if y=x²-3, y = -2x +4

An equation system's solution is a collection of values for the variable that concurrently fulfill each equation. Finding all of the possible sets of variable values that make up the system's solutions is necessary to solve an equation system. However, the second equation does not have a solution at (5, 4). There is often only one solution to a system of linear equations, however it is possible for there to be infinite or no solutions (parallel lines) on occasion (same line).

Given,

y=x²-3 -----(1)

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

Solving equations 1 and 2, we get

x²-3=-2x +4

x²+2x-3-4=0

x²+2x-7=0

We have to solve by using quadratic formula,

x= (-b±√b²-4ac)/2a

x= (-2±√2²-4(1)(-7))/2(1)

x= (-2±√4+28)/2

x= (-2±√32)/2

x= (-2±4√2)/2

x= -1±2√2

x= -1-2√2, -1+2√2

Thus, the system has two solutions.

Therefore, the number of real solutions of the system are 2.

To know more about system of solutions, visit:

https://brainly.com/question/26207592

#SPJ1

Answer:

4.5

Step-by-step explanation:

Mean = (4+5+6+3)/4 = 4.5 bubbles

Answer:

B) 3

Step-by-step explanation:

If it was right please mark me brainleist.

The point of concurrency of three altitudes of a triangle is called its orthocenter. In the given figure O is the orthocenter.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°.

Here,

The orthocenter of a triangle is the place at which three altitudes intersect. In the diagram, O represents the orthocenter.

To know more about triangle,

https://brainly.com/question/28600396

#SPJ4

1.5x-0.5 should be the answer

The point estimate for the proportion is 0.049

From the question, we have the following parameters that can be used in our computation:

(0.022, 0.076)

The midpoint of the confidence interval is a good estimate for the population proportion.

The midpoint can be calculated as:

midpoint = (upper limit + lower limit) / 2

Substituting the given values, we get:

midpoint = (0.076 + 0.022) / 2

midpoint = 0.049

Hence, the point estimate for the proportion of people who don't show up for their flights is 0.049, which is option (b).

Read more about point estimate at

https://brainly.com/question/12008623

#SPJ1

The volume is therefore changing at a rate of 30000 mm³ per second.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume.

Given,

The radius of a sphere is increasing at a rate of 3 mm/s.

Let r stand for the radius and v for the volume.

Compare with respect to time, t, and v=4/3r³.

As a result, dv/dt=4r² dr/dt.

Given is the value of dr/dt=3 mm/sec.

Therefore, dv/dt=12r² mm/sec.

r = 50mm when the diameter is 100 mm.

The volume is therefore changing at a rate of dv/dt=12(50²)

30000 mm³ per second.

The volume is therefore changing at a rate of 30000 mm³ per second.

To learn more about volume, visit:

https://brainly.com/question/1578538

#SPJ4

Eight less than a number, n

This means 8 is less than the number n. Therefore,

Is at least 10 .

This means

Answer:

If X ≤ 1, these side lengths has no sense.

Step-by-step explanation:

We can factored the expression X² + 4X - 5 in a expression in the form:

(X+a) (X+b)

Where a*b = -5 and a+b = 4

That means a could be 5 and b = -1:

(X+5) (X-1)

The side lenghts of the rectangle will not have any sense if ≤ 0. With the factored expression:

(X+5) ≤ 0 ;  If X ≤ -5, these side lengths has no sense.

Also:

(X-1) ≤ 0; If X ≤ 1, these side lengths has no sense.

Both expressions are resumed in:

Answer:

\(\frac{7}{8}\)

Step-by-step explanation:

\(\frac{1}{4}\ + \frac{10}{16}\\)

\(= \frac{4}{16}\ + \frac{10}{16}\\\)

\(= \frac{14}{16} \\\)

\(= \frac{7}{8}\)

hope it helps :)

mark brainliest!

The present ages of Raj and his daughter are respectively: 42 years and 12 years.

Present Age of Raj =y years

Present Age of daughter =x years

According to Question :

7 Years ago,

y − 7 = 7(x − 7)

⇒ 7x − y − 42 = 0.............(1)

And 3 Years from now

y + 3 = 3(x + 3)

⇒ 3x − y + 6 = 0............(2)

From eq (1) and eq (2)

Subtract eq 2 from eq 1 to get:

7x − 3x − y + y − 42 − 6 = 0

⇒ 4x = 48

⇒ x = 12

Putting x = 12 in Equation (2). we get,

(3 × 12) − y + 6 = 0

⇒ y = 42

Read more about Algebra Word Problems at: https://brainly.com/question/21405634

#SPJ1

Answer: The volum is 143,184

Step-by-step explanation: multiply length by width by height and you get 143184.

Answer:

Hey there! I  have this same question, but i think you typed it wrong. A rectangular prism has a length of 1 1/4cm, not 114. A width of 4 cm, and a height of 3 1/4 cm, not 314. The answer to this question would be 16.25 cubic cm, but if you typed it right, then you should use the other answer.  Hope this helped!!

Step-by-step explanation:

when a variable depends on the product or quotient of two or more variables, it is a joint variation like in our case here.

F (e.g. gravity) varies directly with the masses of 2 objects (like 2 planets) and varies inversely with the distance to or between these objects.

so, the gravity between 2 planets gets stronger the more mass the planets have, but gets weaker the more distance there is between them.

there is only one constant considered in a joint variation statement. in our case : k

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

Hope this helps!

:)