select the statement regarding cluster sampling that is false. a.) the total population is divided into groups. b.) every element of some groups is included in the sample. c.) some of the groups are randomly selected. d.) every element of the total population has an equal probability of being selected.

Answer:

Step-by-step explanation:

P is the speed of the plane.

W is the speed of the wind.

We really need to know when the plane was flying against the wind:

on the 2345 mile flight or on the 860 mile flight?

If the distances were the same, we can tell by the times,

as the wind will slow down the plane.

But they are different, so we can't.

A typical plane flies around 500 mph.

2345/3.5 = 670 while 860/2 = 430.

So judging by these speeds, it appears as though

the plane was flying with the wind on the 2345 mile

flight.

Proceeding as such, using these calculations

of dividing by the times:

2345 = (P +w)*3.5 ---> 670 = P + w

860 = (P-w)*2   ------> 430 = P-w

Adding these equations together:

1100 = 2P

P = 550

w=120

A) 550+120 = 670

B) 550-120 = 430

C) and D) done above

E) wind speed is 120

F) plane speed is 550

Answer:

-14x+6

Step-by-step explanation:

Answer:

450,000

Step-by-step explanation:

The first digit has 9 choices

Digits 2 through 5 each have 10 choices

Digit 6 has 5 choices.

9 * 10 * 10 * 10 * 10 * 5 = 450,000

The area of a rectangular field is 28x^2-56x square units and one of its side is 7x units.

The other side of the rectangular field.

Area of the rectangular field = 28x^2-56x square units

Let its length be 7x units.

We know, area of a rectangle = length × breadth

So, breadth = area ÷ length

Therefore, the breadth of the rectangular field

\( = \frac{ {28x}^{2} - 56x}{7x} \\ = \frac{7x(4x - 8)}{7x} \\ = 4x - 8\)

The other side of the rectangular field is 4x-8 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is center of the given triangle such that <APB = <APC = <BPC = \(120^{o}\). Such that line PB bisects <ABC into two equal measures of \(30^{o}\).

Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{a}{SinA}\) = \(\frac{b}{SinB}\)

\(\frac{8}{Sin 30}\) = \(\frac{PB}{Sin 30}\)

BP = \(\frac{8*Sin 30}{Sin 30}\)

    = 8

BP = 8.0

Therefore, the value of PB = 8 units.

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Answer:

C

Step-by-step explanation:

< this means that its less than what ever the number is and wants to eat it because ye. so C

The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution thus option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In other words, the equation must be constrained with some constraints.

As per the given equations,

y = (-1/3)x + 7 and y = -2x³ + 5x² + x - 2

The graph of both equations has been plotted below,

The number of points where both curves cut each other = 1

Thus, the number of solutions = 1

Hence "The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution".

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Answer:

1 solution

Step-by-step explanation:

Plato/Edmentum

The solution for the absolute value equation is option (A) x = -15 and x = 21 is the correct answer.

In this question,

One third times the absolute value of the quantity x minus 3 end quantity plus 4 equals 10. The equation for this statement is 1/3  |x - 3| + 4 = 10.

The solution for the equation is

\(\frac{1}{3}\)  |x - 3| + 4 = 10

⇒ \(\frac{1}{3}\) |x - 3| = 10 - 4

⇒ \(\frac{1}{3}\) |x - 3| = 6

Multiply by 3 on both sides,

⇒ \(\frac{1}{3}\) |x - 3| = 6

⇒ \(\frac{3}{3}\) |x - 3| = 18

The absolute value of the equation takes both as positive and negative values.

Case 1: Take as positive value

⇒ x - 3 = 18

⇒ x = 18 + 3

⇒ x = 21

Case 2: Take as negative value

⇒ - (x-3) = 18

⇒ -x + 3 = 18

⇒ x = 3 - 18

⇒ x = -15

Hence we can conclude that the solution for the absolute value equation is option (A) x = -15 and x = 21 is the correct answer.

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Answer:

20 times

Step-by-step explanation:

Digit 2 appears 20 times in first 100 natural numbers

Answer:

The dependent variable is the cost

Step-by-step explanation:

The dependent variable is the variable that depends on the independent variable to either increase or decrease.

In this case, the dependent variable is the cost, and the independent variable is the number of chocolate bars.

Answer:

Subtraction property

Step-by-step explanation:

Answer:

bro COME ON .

its 11 . how do you not know ?

Step-by-step explanation:

you have to add the 1 and 1 together

Answer:

ƒ(−1) = −3

Explanation:

From the graph, we have the point (-1, -3).

This means that:

• When x=-1

• The value of f(x)=-3.

Therefore, the value of f(-1) is -3.

Answer:

(f+g)(x)=4x+5

Step-by-step explanation:

Just add the two functions together:

(f+g)(x)=f(x)+g(x)=(10-2x)+(6x-5)=-2x+6x+10-5=4x+5

So (f+g)(x)=4x+5

Hello! (:

y=2x-5

This equation is written in slope-intercept form (y=mx+b)

Where

m is the slope of the line (2)

b is the y-intercept (5)

Hope it helps! Please ask if you have any query.

~An excited gal

\(MagicalNature\)

The slope of the line y = 2x + 5 is 2 obtained by comparing it with slope intercept form y=mx+b, where m is slope.

The slope represents the rate at which the line is increasing or decreasing as you move along the x-axis.

The slope of a linear equation in the form y = mx + b is represented by "m."

In this case, "m" is 2, which means the slope of the line y = 2x + 5 is 2.

Since the slope is positive (2), it means that as x increases by 1 unit, y increases by 2 units, and as x decreases by 1 unit, y decreases by 2 units.

The slope of 2 indicates that the line is inclined, and it rises at a steady rate of 2 units for every 1 unit moved to the right along the x-axis.

Hence, slope of the line  y = 2x + 5 is 2.

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Answer:

4%

Step-by-step explanation:

The change in  her score in percentage points for each question she gets incorrect is 4%.

Using this formula

Change in score percentage=(100%-Scores %)/Number of missed questions

Where:

Scores %=72%

Number of missed questions=7 questions

Let's plug in the formula

Change in score percentage=(100%-72%)/7

Change in score percentage=28%/7

Change in score percentage=4%

In conclusion, the change in  her score in percentage points for each question she gets incorrect is 4%.

Answer:

For every question she missed had 4% affect on total score.

                                    step-wise explanation:

missed question(%):

total percentage - scored percentage

100% - 72%

28%

She missed 7 questions:

7 questions ↔ 28%

1 question ↔ \(\frac{28}{7}\)%

1 question ↔ 4%

To determine if there was a significant difference in perceived intelligence between attractive photos and unattractive photos, we will conduct a two-tailed t-test at the .05 level of significance. Here's a step-by-step explanation:

1. State the null hypothesis (H0) and alternative hypothesis (H1):
H0: There is no significant difference in perceived intelligence between attractive and unattractive photos (MD = 0).
H1: There is a significant difference in perceived intelligence between attractive and unattractive photos (MD ≠ 0).

2. Determine the level of significance (α):
α = 0.05 for a two-tailed test.

3. Calculate the t-value:
For this test, we have the sample size (n = 25), the average difference between the two scores (MD = 2.7), and the standard deviation (s = 2.00). The formula for the t-value is:

t = (MD - 0) / (s / √n)

t = (2.7 - 0) / (2.00 / √25)
t = 2.7 / (2.00 / 5)
t = 2.7 / 0.4
t = 6.75

4. Determine the critical t-value:
Using a t-distribution table or calculator for a two-tailed test with α = 0.05 and 24 degrees of freedom (n - 1 = 25 - 1 = 24), the critical t-value is approximately ±2.064.

5. Compare the calculated t-value with the critical t-value:
Since our calculated t-value (6.75) is greater than the critical t-value (2.064), we reject the null hypothesis (H0).

In conclusion, the data are sufficient to conclude that there is a significant difference in perceived intelligence between attractive and unattractive photos, supporting the alternative hypothesis (H1). The attractive photos were rated higher in perceived intelligence compared to the unattractive photos at the .05 level of significance.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=6000\left(1+\frac{0.035}{1}\right)^{1\cdot 4}\implies A=6000(1.035)^4\implies A\approx 6885\)

The tip of the 40-inch long pendulum moves approximately 13.92 inches in one second.

To find the distance the tip of the pendulum moves in one second, we need to determine the length of the arc covered by the pendulum. The arc length can be calculated using the formula:

Arc length = (θ/360) * (2π * r),

where θ is the angle in degrees, r is the length of the pendulum, and 2π is a constant representing the circumference of a circle.

Given that the pendulum swings through an arc of 20 degrees and has a length of 40 inches, we can substitute these values into the formula:

Arc length = (20/360) * (2π * 40) = (1/18) * (2π * 40) = (2π * 40) / 18.

Evaluating this expression, we get:

Arc length ≈ 13.92 inches.

Therefore, the tip of the pendulum moves approximately 13.92 inches in one second.

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The Poisson distribution with a parameter λ = 1 accurately models the production stoppages, where on average, the company experiences one stoppage per month with a relatively small amount of variability.

The  scenario describes a company's production stoppages, which can be modeled using a Poisson distribution with a parameter (mean) of λ = 1. In a Poisson distribution, the mean, variance, and standard deviation are all equal.

The mean (μ) represents the average number of stoppages per month, which in this case is 1. This means that, on average, the company experiences one production stoppage per month.

The variance (σ^2) also has a value of 1 in a Poisson distribution. It measures the spread or variability of the data around the mean. In this case, the variance of 1 indicates that there is some fluctuation in the number of stoppages, but it is relatively small.

The standard deviation (σ) is equal to the square root of the variance, which is also 1 in this scenario. It represents the average amount of deviation from the mean. A standard deviation of 1 suggests that most of the observations will be within one unit of the mean.

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Answer:

\( \frac{y - ( - 4)}{x - 0} = \frac{3 - ( - 4)}{2 - 0} \\ \frac{y + 4}{x} = \frac{3 + 4}{2} \\ \frac{y + 4}{x} = \frac{7}{2} \\ 2(y + 4) = 7x \\ 7x = 2y + 8 \\ 7x - 2y = 8 \\ 2y = 7x - 8 \\ \boxed{y = \frac{7}{2}x - 4}\)

The number of times a number is multiplied by itself is known as the power or exponent. To calculate the power of a number, we use the exponent formula \(n^{p}\) = n × n × n × ... × n, where n is the base number and p is the exponent. For example,\(4^{2}\) = 16 and \(4^{3}\)= 64.

The number of times a number is multiplied by itself is known as the power or exponent. For example, let's say we have the number 4. If we want to calculate 4 to the power of 2 (\(4^{2}\)), we are essentially multiplying the number 4 by itself twice. This is written as 4 multiplied by 4, which is equal to 16. In mathematical notation, the calculation is written as \(4^{2}\)  = 16.To calculate the power of a number, we can use the exponent formula: \(n^{p}\) = n × n × n × ... × n

where n is the base number and p is the exponent. For example, if we want to calculate\(4^{3}\) (4 to the power of 3), we would write the formula as 4 × 4 × 4 = 64. The corresponding mathematical notation is \(4^{3}\) = 64.

In summary, the number of times a number is multiplied by itself is known as the power or exponent. To calculate the power of a number, we use the exponent formula \(n^{p}\) = n × n × n × ... × n, where n is the base number and p is the exponent. For example,\(4^{2}\) = 16 and \(4^{3}\)= 64.

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Answer:

The second choices is the answer

{(-6,6), (8, 2), (8, -1), (3,3)} as you can see there's a repeating value of x or the Domain which is the 8.

Answer: x is 55

hard to explain sorry

Answer:

\(\frac{xa}{28}\)

Step-by-step explanation:

   \(\frac{4x^2}{y7a^3} * \frac{a^4}{16+8x}\)

= \(\frac{2x(2+x)}{7a^3} * \frac{a^4}{8(2+x)}\)

= \(\frac{xa}{28}\)

\(\frac{x^{2}a }{28}\)

Explination:

Factor the numerator and the denominator and cancel the common factors

a. The expressions to show how much kite string Jordyn and Teri have, respectively, are 2x + y and x + y

b. The expression to show how much kite string Morgan has is 3x + y

c. The inequality representing is x > 3x + y.

d. The inequality representing  is 3x + y > 2x + y.

e. For the girls' kites to fly at the same height, the length of a roll of string (x) would need to be equal for both Jordyn and Teri and Morgan. Therefore, x = 2x + y = 3x + y.

a. Jordyn and Teri each have one roll of kite string, so their expressions would be 2x + y (representing Jordyn's string) and x + y (representing Teri's string). The variable x represents the number of yards of string on one roll, and y represents the yards of extra string they have.

b. Morgan has three rolls of kite string plus extra string. Hence, the expression representing the amount of kite string Morgan has is 3x + y, where x represents the number of yards of string on one roll, and y represents the yards of extra string she has.

c. To fly their kite higher than Morgan's, the combined string length of Jordyn and Teri (2x + y) should be greater than the string length of Morgan (3x + y). This can be represented as the inequality x > 3x + y.

d. For Morgan to fly her kite higher than Jordyn and Teri's, the string length she has (3x + y) should be greater than the combined string length of Jordyn and Teri (2x + y). This can be represented as the inequality 3x + y > 2x + y.

e. For the girls' kites to fly at the same height, the length of a roll of string (x) should be equal for both Jordyn and Teri and Morgan. This means that the expressions 2x + y and 3x + y should be equal. Therefore, x = 2x + y = 3x + y.

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Answer:

2) If the scale factor is 2, draw a line from the centre of enlargement, through each vertex, which is twice as long as the length you measured. If the scale factor is 3, draw lines which are three times as long. If the scale factor is 1/2, draw lines which are 1/2 as long, etc. The centre of enlargement is marked.

Step-by-step explanation:

Answer:

You multiply the dimensions given by the scale factor.

Step-by-step explanation:

ex: if the dimensions are all 5 then u would multiply these dimensions by each scale factor seperately like so, 1.5*5 and then 5*2

Hope this helps!!

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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