Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. Using a systematic sample guarantees that members of each group within a population will be sampled.
A. False. Using a cluster sample guarantees that members of each group within a population will be sampled.
B. False. Using a stratified sample guarantees that members of each group within a population will be sampled.
C. True.

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

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a) The dimensions of the open box are

Length = 24 - 2x

Width = 12 - 2x

Height = x

b) Recall that the volume of a rectangular prism is given by

So, the function for the volume of the open box becomes

c) Let us have a look at the graph of the above function

Notice that the maximum volume of the open box is approximately 332.6 in³

This maximum volume occurs when x is equal to 2.5 in

x = 2.5 in

Answer: 5

Step-by-step explanation:

lower quartile: 4

upper quartile: 9

9-4=5

IQR=5

X=1.33

Y=4.9875;approx. 5.0

Answer:

(2/120=X/80)=Y/300

2×80=120×X

X=160/120

X=1.33

X/80=Y/300

But X=1.33

By substituting

X=1.33, We have that

1.33/80=Y/300

80×Y=1.33×300

80Y=399

Y=399/80

Y=399/80

Y=5.0 approx.

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so:

\(8x+3=19 \longrightarrow x=2\)

\(27=-y-5 \longrightarrow y=-32\)

Answer:

10cm, 8cm and 6cm

Explanation

For the sides given to be a right triangle, the square of the largest side must be equal to the sum of the square of the other two sides

Given

Looking at option C

Largest side = 10cm

Square of the largest side = 10^2 = 100cm

For the other two sides, sum of their squares is expressed;

= 6^2 + 8^2

= 36 + 64

= 100cm

Since the square of the largest side is the same as the sum of the square of other two sides, hence the sides 10cm, 8cm and 6cm forms a right angle

Answer:

see photo

Step-by-step explanation:

took the test

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

So first calculate what fraction of the circumference the arc is.

\(\frac{20}{360}=\frac{1}{18}\)

Now the circumference is 6, so one eighteenth of that is \(\frac{1}{3}\)

The speed that minimizes the required pοwer is the roοt of the equation P=cv² + d/v².

Minimizing is the prοcess of reducing or decreasing something to its smallest possible size or amount. It is often used to refer tο reducing expenditure or waste, such as in the fields of energy cοnservation and resource management. Minimizing can alsο mean simplifying a process, reducing clutter, or streamlining a wοrkflow. Minimizing is a key element of successful efficiency and οptimization.

The speed that maximizes the range is the rοot of the equation cv³ + d = 0. The ratio of these twο speeds is the square rοot of -d/c.

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Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

\(P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175\)

Positive when there is raritanium:

98% of 13%

\(P(A) = 0.98*0.13 = 0.1274\)

What is the probability the rock sample actually contains raritanium?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967\)

0.967 = 96.7% probability the rock sample actually contains raritanium

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

RATIONAL NUMBER

Step-by-step explanation:

22/44=2/4

IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.

answer:

Now I know My ABC next time won't you sing with me.

Answer:

$148.4

Step-by-step explanation:

140 times 0.03=4.2

4.2=8.4

140+8.4=148.4

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

Step-by-step explanation:

its a chart in a circle that is usually out of a hundred percent and they divide certain traits into the chart

Answer:

A pie chart is a kind of graph that is in the shape of a circle, it is called a pie chart because its shape, and the percents are in the shapes of pie slices,

Answer:

there is no question but if its on performance matters, its very close to 1 thats the answer

Step-by-step explanation:

To find the answer, we have to use combinations

Where n = 15 and r = 3.

Answer:

17

Step-by-step explanation:

Answer:b

Step-by-step explanation:

when A = 49, the value οf s is apprοximately 1.0535.

The sequence where each wοrd is varied by anοther by a cοmmοn ratiο is knοwn as a geοmetric prοgressiοn οr geοmetric sequence. When we add a cοnstant (which is nοt zerο) tο the term befοre it, the sequence's subsequent term is created. The fοllοwing symbοls stand in fοr it: a, ar, ar2, ar3, ar4, etc.

Geοmetric Prοgressiοn (GP), a fοrm οf sequence in mathematics, is a series in which each subsequent term is created by multiplying each preceding term by a set integer, knοwn as a cοmmοn ratiο. A geοmetric sequence οf integers that fοllοws a pattern is anοther name fοr this develοpment.

Starting with the fοrmula \(A = 1 - 82/s^{36\), we can sοlve fοr s by substituting the given value οf A and then sοlving fοr s:

\(A = 1 - 82/s^{36\)

\(49 = 1 - 82/s^{36\)(substituting A = 49)

\(50 = 82/s^{36\) (adding 1 tο bοth sides

\(50s^{36} = 82\) (multiplying bοth sides by \(s^{36\))

\(s^{36} = 82/50\) (dividing bοth sides by 50)

\(s^{36}= 41/25\)

s ≈ 1.0535

Therefοre, when A = 49, the value οf s is apprοximately 1.0535.

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Answer:

x= 1.99

f(x) = 1.99x + 3

Step-by-step explanation:

Hope this helps! (;

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer:

I donot know the answer sorry baby

Answer:

B

Step-by-step explanation:

Answer:

The fourth option.

Step-by-step explanation:

In the given equation x^2 + 4x + 9 = 0, a=1, b=4, and c=9. The quadratic formula is in the attachment below so if you plug in a, b, and c you get the fourth option.

a. The tax paid would be:

$15,100 x 0.04 = $604

b. The car's total cost would be:

$15,100 + $604 = $15,704

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

The exact value of sin(5π/12) is (√6 + √2)/4

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

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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