A political action group wants to poll voters in their
area. Of the 25 towns in their area, they randomly select
5 towns and include every registered voter from those
districts in their sample . What sampling method is
this?
A. clustered sampling
B. convenience sampling
C. simple random sampling
D. systematic sampling

Answer:

350π

Step-by-step explanation:

V = πr^2h

V = π(5)^2(14)

V = 350π

Answer:

1.    x = 1, y = 2.

12.  x = 1, y = -3.

Step-by-step explanation:

I won't do all these for you, just the first and the last. The method is similar  for all 12.

1.

y = x + 1

x + y = 3

Substitute y = x + 1 into the second equation:

x + y = 3 so:

x + (x + 1) = 3

2x + 1 = 3

2x + 1 -1 = 3 - 1

2x = 2

x = 1.

Now substitute x = 1 into the first equation to get the value of y:

y = x + 1

y = 1 + 1

y = 2.

12.

4x = y + 7

3x + 4y + 9 = 0

Solve for y in the first equation:

4x = y + 7                Subtract 7 from both sides of the equation:

4x - 7 = y + 7 - 7

y = 4x - 7.

Now substitute  y = 4x - 7 in the second equation:

3x + 4y + 9 = 0   so:

3x + 4(4x - 7) + 9 = 0

3x + 16x - 28 + 9 = 0

19x - 19 =  0

19x - 19 + 19 = 0 + 19

19x = 19

x = 19/19 = 1.

Now substitute x = 1 in the first equation:

4x = y + 7

4*1 = y + 7              Subtract 7 from both sides of the equation:

4 - 7 = y + 7 - 7      

-3 = y.

The Rate Of Change of the Area is -68 inch/sec which means  area is decreasing .

In the question ,

it is given that ,

the length of rectangle is = 4 inches

the width of rectangle is = 8 inches

also given that the length is decreasing at the rate of 7 in/sec ,

which mean dl/dt = -7 in/sec

the width is shrinking at the rate of 3 in/sec ,

which means dw/dt = -3 in/sec

w know that the Area of the Rectangle = length × width

A = l \(\times\) w

On differentiating the area with respect to "t" , we get

dA/dt \(=\) l × (dw/dt) \(+\) w × dl/dt

= 4 × (-3) \(+\) 8 × (-7)

= -12 - 56

= -68 in/sec

Therefore , The Rate Of Change of the Area is -68 inch/sec that is area is decreasing .

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Use the exponential growth formula to find the initial size. The initial size of the bacteria culture was approximately 457.

To determine the initial size of the bacteria culture, we can use the exponential growth formula: \(N(t) = N_0 * (2^{(t/d)})\), where N(t) is the population at time t, N₀ is the initial population, t is the time elapsed, and d is the doubling period.

Given that N(15) = 800 and N(30) = 1700, we can set up two equations:

\(800 = N_0 * (2^{(15/d)})\\1700 = N_0 * (2^{(30/d)})\)

To solve these equations, we can take the ratio of the second equation to the first equation:

\(1700/800 = (2^{(30/d)}) / (2^{(15/d)})\)

Simplifying the equation, we have:

2.125 = 2^(30/d - 15/d)

Taking the logarithm of both sides, we get:

log₂(2.125) = 30/d - 15/d

Simplifying further, we have:

0.0833d = 15

Solving for d, we find that d ≈ 180 minutes.

Substituting d = 180 minutes into one of the original equations, we can solve for N₀:

\(800 = N_0 * (2^{(15/180)})\)

Simplifying, we find that N₀ ≈ 457.

Therefore, the initial size of the bacteria culture was approximately 457.

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The complete question is:

The count in a bacteria culture was 800 after 15 minutes and 1700 after 30 minutes. Assuming the count grows exponentially, what was the initial size of the culture?  

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

f(-x) = 7x^2 - 1/x^2

Step-by-step explanation:

Answer:

f(-x) = 7x^2 - 1/x^2

Step-by-step explanation:

i got the same

Let the number be y;

From the question, we can derive the below eaquation;

Let's go ahead and solve for y;

So, the number is 30.

Answer:

proportion: 1.93/23 = y/x

solve for y: y = x(0.083913)

Step-by-step explanation:

The required relationship of the proportionality is y = 0.08 x.

Given that,
In 23 minutes, Halona travels 1.93 kilometers to a neighbor's home. assuming she moves at a steady pace.
How many kilometers, y, Halona can walk in x minutes, expressed as a proportion. After that, find y using your percentage.

The relationship between two or more sets of values—whether they are directly proportional or inversely proportional to one another—is referred to as proportionality.

Here,
according to the question,
y ∝ x
y = kx
Where k is the constant of the proportionality,
at x = 23, y = 1.93
1.93 = 23 k
k = 1.93/23
k = 0.08
Put k in the proportionality equation,
y = 0.08k

Thus, the required relationship of the proportionality is y = 0.08 x.

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\(3) \: y = \frac{ - 8}{2} ; \: y = - 4\) ✅

Step-by-step explanation:

\(2 \: y = - 8 \\ ⇢  y = \frac{ - 8}{2} \\ ⇢ y = - 4\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

========================================================

Explanation:

x = sticker price, which is some number larger than 9 (otherwise the store loses money)

x-9 = profit made per speaker

To get the gross margin percentage, we divide the profit over the sales (aka revenue). So we'll divide (x-9) over x

The expression (x-9)/x represents the gross margin in decimal form. Set this equal to 0.80 and solve for x

-----------------

(x-9)/x = 0.80

x-9 = 0.80x

x-0.80x = 9

0.20x = 9

x = 9/0.20

x = 45

The sticker price is $45

-------------------

If the sticker price is $45 per speaker, then the store owner gets 45-9 = 36 dollars in profit per speaker sold. The gross margin would be (profit)/(sales) = 36/45 = 0.80 = 80%

In other words, 80% of the revenue is profit (the remaining 20% is costs or expenses).

Answer:

5.75 , 5.76, 5.73

Step-by-step explanation:

Hope this helps!

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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Answer:

91

Step-by-step explanation:

shaded area= area of rec - area of semi circle

A= 12*14- 1/2*22/7*7²= 91 cm²

note π=22/7 not 2/7

Answer:

8

Step-by-step explanation:

Answer: Cumulative frequency distribution

Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

------------------

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

Answer: 3 × 10^4

Step-by-step explanation:

9x10^2 is how many times as much as 3x10^-2?

9 × 10^2 = 9 × 100 = 900

3 × 10^-2 = 3 × 0.01 = 0.03

We then divide, this will be:

= 900/0.03

= 30000

This can be represented as:

30000 = 3 × 10^4

It can be clearly seen that 9 x 10^2 is is 3 x 10^4​ times of the number 3 x 10^-2.

Multiplication is one of the basic mathematical operations. When a number is multiplied by another, the it is a given number of times that number.

As such, we can we that 9 x 10^2 is is 3 x 10^4​ times of the number 3 x 10^-2.

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Answer:

the fisrst cup has a volume of 100.53

Step-by-step explanation:

Step-by-step explanation:

32 seems to be the tangent on the circle with radius 24.

so, 32 and 24 are right-angled to each other (90°).

therefore, we can use Pythagoras to calculate x.

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle).

in our case

x² = 24² + 32² = 576 + 1024 = 1600

x = 40

Answer:

)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!

m∠MFE = 28°

======================

Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line

→ m∠MFE + m∠MFP + m∠PFR = 180°

Solve for m∠MFE

The answer is B and pls mark me brainiest

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.

The center of the hyperbola is the midpoint between the two vertices:

Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).

The distance between the center and one of the vertices gives us the semi-major axis (a):

a = distance between center and vertex = 5 - 2 = 3.

The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):

c = distance between center and focus = 7 - 2 = 5.

Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:

c² = a² + b²

5² = 3² + b²

25 = 9 + b²

b² = 25 - 9

b² = 16

b = 4.

Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:

For a hyperbola (center at (h, k)), the equation is:

(x - h)² / a² - (y - k)² / b² = 1.

Plugging in the values:

(x - 3)² / 3² - (y - 2)² / 4² = 1.

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

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The statements that are true concerning the study that was carried out by the pharmaceutical company include the following: This study uses random sampling, This study uses blinding and This study uses a control group. That is option A, B and E.

A pharmaceutical company is defined as the company that has been certified to manufacture and distribute drugs such as the children's vitamin.

While selecting sample for the study, it was stated that 500 children grouped by age was randomly selected.

Out of the total samples, 250 was given the vitamin while the remaining half was given a placebo ( a blind) which would serve as concealment of the group allocation from them as they are serving as the control.

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Answer:

A,B,C,

Step-by-step explanation:

PLATO

The domain of the function d(t)=1/2t+6 is (-∞, ∞) and the range of the function is (-∞, ∞).

Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A  → B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The domain of the function d(t)=1/2t+6 is given by

Domain: (-∞, ∞), {x|x ∈ R}

The range of the function is given by

Domain: (-∞, ∞) , {y|y ∈ R}

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Answer:

FE = 11\(\sqrt{3}\)     DE = 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want a system of equations, their solution, and the interpretation of the solution for the scenario that Apple will be buying 12 ounces total of rice (x) at $1.73 per ounce and veggies (y) at $3.38 per ounce.

The given relations can be expressed in two equations:

The solution to these equations is shown in the attached graph. It is ...

  (x, y) ≈ (7.61, 4.39)

For Apple to buy 12 ounces of ingredients at a total cost of $28, Apple needs to buy 7.61 ounces of rice and 4.39 ounces of veggies.

__

Additional comment

If you understand the definitions of the variables, the interpretation is pretty straightforward:

  x = ounces of rice to purchase: x = 7.61 means Apple needs to purchase 7.61 ounces of rice.

  y = ounces of veggies to purchase: y = 4.39 means Apple needs to purchase 4.39 ounces of veggies.

My graphing calculator offers at least 3 different ways to solve a system of equations like this. I like the graphical solution, because it is convenient to type the equations in their original form, and the solution is given as an ordered pair.

Answer:

876

Step-by-step explanation:

photo below

You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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Days exactly: The rate of interest is 4.17%. The interest rate of  amount is 4.21% on regular days.

I = P x R x T/365, where I is the interest, P is the principal, R is the rate, and T is the duration, can be used to determine the interest rate using exact days.

I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows: 625 = 60000 x R x 150/365. By multiplying both sides by 365/150, we may find R. As a result, R = 625 x 365/90000 = 4.17%.

I = P x R x T/360, where I is the interest, P is the principal, and R is the rate of return, can be used to get the interest rate using regular days.T stands for time, and R represents the rate. I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows:

625 = 60000 x R x 150/360. By dividing both sides by 360/150, we may find R. As a result, R = 625 x 360/90000 = 4.21%.

I = P x R x T/365, which means that R = I x 365/P x T = 625 x 365/60000 x 150 = 4.17%. Exact days

I = P x R x T/360 on typical days, which means that R = I x 360/P x T is 625 x 360/60000 x 150, or 4.21%.

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The temperature at the end of the troposphere varies with latitude as follows:

The troposphere is the first and lowest layer of the atmosphere of the Earth and makes up the largest percentage by mass (about 75%) of the total atmosphere.

The troposphere contains most of the water vapor in the present in the atmosphere. the water vapor regulates the air temperature by absorbing the solar energy and thermal radiation from the planet's surface.

Water vapor concentrations vary with latitude being highest above the tropics and lowest above the polar regions.

At the middle latitudes, the temperature at the end of the troposphere (the tropopause) is about −55°C.

At the equator, the temperature at the end of the troposphere (the tropopause) is about −73°C.

At the poles (the Arctic and the Antarctic regions), the temperature at the end of the troposphere (the tropopause) is about −45°C.

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