Which of the following gives an example of a randomized block design for an experiment? a Fifty cats are randomly placed into 3 groups. Group 1 will receive an old type of flea medication, group 2 will receive a new type of flea medication, and group 3 will receive no flea medication. The number of fleas on each cat after 5 hours will be recorded and compared b. One hundred high school students are grouped by grade level. Ten are randomly chosen from each grade level and asked how many hours of sleep do they get each night?" The results from each grade level will be compared c Ninety people are grouped by age (20 to 39 years old, 40 to 50 years old, 60 to 79 years old). There are 30 people in each age group. Ten people from each group are randomly assigned to one of three "sleep" treatments (sleep in total darkness, sleep with a nightlight, sleep with bright lights turned on). The quality of sleep for everyone is collected by group and the results from each group are compared. d. Guidance counselors at a high school collect data from students. Looking at school records, they randomly select 100 students and record their grade level, 8th grade proficiency test scores, and GPA to make comparisons between grades e. None of the above gives an example of a randomized block design for an experiment

True. If two events A and B are independent, then P(A and B) = P(A). P(B) because when two events are independent, the occurrence of one does not affect the probability of the other.

The probability of the intersection of two independent events A and B is the product of their probabilities. It means that if A and B are independent, then:P(A ∩ B) = P(A) × P(B)A continuous random variable can assume any numerical value in a given interval or range. For example, the length of a phone call can be any value greater than zero and can be decimal. A continuous random variable can be measured and expressed in decimal points or fractions. The empirical rule also called the 68-95-99.7% rule, states that for a normal distribution, approximately:

68% of the data fall within one standard deviation of the mean,
95% of the data fall within two standard deviations of the mean, and
99.7% of the data fall within three standard deviations of the mean.

Since the mean GPA of the students at the college is 3 and the standard deviation is 1, then 68% of students have a GPA between (3 - 1) and (3 + 1) which is 2 and 4. Thus, the correct option is b. 68%.

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Answer:

Here is the ans ...hope it helps:)

Answer:

$5.25

Step-by-step explanation:

Answer:

the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

Step-by-step explanation:

A cable company uses the formula S = 20,000 (1 + 0.08)^y to estimate the number of subscribers, S, that use their service after y years. If there were 20,000 cable television subscribers when the cable company began, what is the meaning of the expression (1 + 0.008) ^y?

The above question represents Exponential growth

Exponential growth formula =

y = a( 1 + r) ^t

Where:

y = Population after time t

a = Initial Population

r = Growth rate

t = time in years

S = 20,000 (1 + 0.08)^y

Hence, the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

Answer:

24

Step-by-step explanation:

Hakeem is the oldest of three siblings who ages are consecutive integers. If the sum of their ages are 69, find Hakeem age.

It should be noted that:

= 22 + 23 + 24

= 69

Hakeem's age is 24

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

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

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

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

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

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

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

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

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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To solve the initial value problem y′ + 2y = t, y(0) = 1, we can proceed as follows. First, we recognize that this is a first-order linear ordinary differential equation.Find integrating factor, which is e^(∫2 dx) = e^(2x).

Multiplying both sides of the equation by the integrating factor, we get e^(2x)y′ + 2e^(2x)y = te^(2x). Notice that the left side is the derivative of (e^(2x)y) with respect to x. Integrating both sides with respect to x, we obtain e^(2x)y = ∫te^(2x) dx. Evaluating integral, we have e^(2x)y = (1/2)te^(2x) + C, where C is the constant of integration. Finally, solving for y, we get y = (1/2)t + Ce^(-2x). Substituting the initial condition y(0) = 1, we find C = 1/2. Therefore, the solution to the initial value problem is y = (1/2)t + (1/2)e^(-2x).

To determine whether the differential equation (xy^2 + y) + (x^2y + x)y′ = 0 is exact or not, we need to check if it satisfies the exactness condition (∂M/∂y) = (∂N/∂x), where M = xy^2 + y and N = x^2y + x. Taking the partial derivatives, we have (∂M/∂y) = 2xy + 1 and (∂N/∂x) = 2xy + 1. Since (∂M/∂y) = (∂N/∂x), the equation is exact. To find the solution, we integrate M with respect to x and N with respect to y.

The integral of M with respect to x gives (1/2)x^2y^2 + xy + g(y), where g(y) is the constant of integration. The integral of N with respect to y gives (1/2)x^2y^2 + (1/2)y^2 + h(x), where h(x) is the constant of integration. Since the equation is exact, the two integrals must be equal, so we can equate them to find g(y) = (1/2)y^2 and h(x) = xy. Thus, the solution to the exact equation is (1/2)x^2y^2 + xy + (1/2)y^2 = C, where C is the constant of integration.

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Answer:

384

Step-by-step explanation:

if each person who knows it tell 2 people then its doubling every hour

and for 8 hours the equation is

3x\(2^{7}\)     (to seventh power because 1st hour already happened)

3x2x2x2x2x2x2x2

6x2x2x2x2x2x2

12x2x2x2x2x2

24x2x2x2x2

48x2x2x2

96x2x2

192x2

384

Answer:

x = 3

Step-by-step explanation:

\((8x-8)^{3/2}=64\)

Multiply both sides by the exponent 2/3.

\(8x - 8 = 64^{2/3}\)

Solve for the exponent.

\(8x-8=16\)

Add 8 to both sides.

\(8x = 16+8\)

\(8x=24\)

Divide 8 into both sides.

\(x=24/8\)

\(x=3\)

Answer:

the answer is A

Step-by-step explanation:

Answer:

1, 2, 5, 12, 13

Step-by-step explanation:

∠1 = 90 is given, which is a right angle

∠3 = 90 as well because ∠1 and ∠3 are vertically opposite

∠3 = ∠8, because ∠1 and ∠8 are same side exterior angles, which are the same

Therefore ∠3 must be congruent to ∠8  

Answer:

200,000

Step-by-step explanation:

Population now: 50,000

Population in 33 hours: 100,000

Population in 66 hours: 200,000

Answer: 200,000

Answer:

Cos A: \(\frac{15}{17}\)

Tan A: \(\frac{8}{15}\)

Sin C: \(\frac{8}{17}\)

How I did it:

Cos A: \(\frac{Base}{Hypotenuse}\) This is the basic " fraction "

Or in similar terms: = \(\frac{ab}{bc}\)

Cos A = \(\frac{15}{17}\)

Tan A = \(\frac{Perpendicular}{Base}\)

Similar terms once again = \(\frac{ac}{ab}\)

Tan A = \(\frac{8}{15}\)

Sin A = \(\frac{Perpendicular}{Hypotnuse}\)

Similar terms = \(\frac{ac}{bc}\)

Since A = \(\frac{8}{17}\)

Thus your answers are:

Cos A = \(\frac{15}{17}\)

Tan A = \(\frac{8}{15}\)

Sin A = \(\frac{8}{17}\)

We count the total number of possibilities for the area codes in the next manner:

1. For the first digit of the codes, we have six options, these are; 3,4,5,6,7,8

2. For the second digit of the codes, three options\; 2,3,4

3. For the third digit of the codes with can put any digit number except 6,7 or 8, that restriction let us the following possibilities:0,1,2,3,4,5,9

We will use the multiplicative rule to count the total number of possible codes with this restrictions, that is we will apply a rule of the form:

In our the specific case

Therefore, we conclude that with these restriction, the total number of codes is 126

20π or 62.8 roughly

Step-by-step explanation:

Hello!

The formula for finding the circumference of a circle is 2rπ:

In that case, all we have to do is substitute 10m for our r.

2 × 10 = 20.

So circumference will be 20π.

Using 3.14 for π:

We get that 62.8 is a rough estimate for the circumference.

Really, it's 62.831..... going on forever since π is irrational.

Thus, the answer exactly is .

Hope this helps!

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

The energy of quadrupole interaction is W = azQ. The fractional difference in radius for Eu153 is (a - b)/R ≈ 0.0306.

The energy of quadrupole interaction, W, can be expressed as W = azQ, where a is the gradient of the electric field along the z-axis, and Q is the quadrupole moment of the nucleus.

To calculate (aE_laz), use the given values for Q and Wh: W = 10 MHz * h, and Q = 2 x 10⁻²⁸ m². Rearrange the equation to find aE_laz: aE_laz = W/Q = (10 MHz * h) / (2 x 10⁻²⁸ m²). Now plug in the known values and solve for aE_laz.

For the quadrupole moment, Q, of a spheroidal nucleus with constant charge density, use the formula Q = (2/5)Ze(a² - b²). Given Eu153 has a quadrupole moment of 2.5 x 10⁻²⁸ m², and a mean radius R = 7 x 10⁻¹⁵ m, rearrange the formula to find the fractional difference in radius: (a - b)/R = (5Q) / (2ZeR²). Substitute the given values and solve.

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Answer:

1

2,3,4

Step-by-step explanation: to

when the number of football is 1 is less expensive than basketball

Answer:

8

Step-by-step explanation:

So, lets go over a few things:

First off, all triangles have a total angle of 180 degrees.

Secondly, we know that the first two angles are 57 and 51.

Thirdly, we know that the missing angle is 9x

To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.

So, add together the two angles we know:

57+51

=

108

So we know 108 degrees of our triangle. We must find whats left of the 180.

To do this, subtract 108 from 180:

180-108

=

72

So our remaining angle is 72 degrres.

But recall that x isnt the misisng angle, 9x is.

So, to get x on its own, we must divide both the missing angle and 9x by 9:

72=9x

---  ---

9   9

=

8=1x

So now we know that x equals 8.

I hope this helps! :)

Answer:

X = 8

Step-by-step explanation:

Okay so we know that there are a total of 180 degrees in every triangle. We need to create the equation to define the triangle's angles. 51 + 57 + 9x = 180. Then, we will solve for x.

180 = 51 + 57 + 9x  we are going to simplify the equation by solving what we can

180 = 108 + 9x         * Now we will isolate x

180 - 108 = 9x          * Solve the left side of the equation

72 = 9x                     * Divide both sides by 9

8 = x                    

The following are three possible ways:

If John has 4 dimes, then he would need 16 nickels to have 4 times as many nickels as dimes.

If John has 8 dimes, then he would need 32 nickels to have 4 times as many nickels as dimes.

If John has 12 dimes, then he would need 48 nickels to have 4 times as many nickels as dimes.

Let's start by setting up some equations. Let x be the number of nickels and y be the number of dimes that John has. We know that John has $0.60 worth of nickels and dimes, so we can write:

0.05x + 0.10y = 0.60

We also know that John has 4 times as many nickels as dimes, so we can write:

x = 4y

Now we have two equations with two unknowns, so we can solve for x and y.

One way to solve the system of equations is to substitute x = 4y into the first equation:

0.05(4y) + 0.10y = 0.60

0.20y + 0.10y = 0.60

0.30y = 0.60

y = 2

Then we can use the second equation to find x:

x = 4y = 4(2) = 8

So John has 8 nickels and 2 dimes.

As for the second part of the question, there are many ways to have 4 times as many nickels as dimes. Here are three possible ways:

If John has 4 dimes, then he would need 16 nickels to have 4 times as many nickels as dimes.

If John has 8 dimes, then he would need 32 nickels to have 4 times as many nickels as dimes.

If John has 12 dimes, then he would need 48 nickels to have 4 times as many nickels as dimes.

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To graph the inequality 2y - 4x < 8, we can start by isolating the y variable on one side of the inequality. To do this, we add 4x to both sides:

An explanation graph is what?

A graph is a representation of the relationship between two variables that are normally measured along one of a pair of axes at right angles.

2y - 4x < 8

2y < 4x + 8

Next, we divide both sides by 2 to get y by itself:

y < 2x + 4

To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = 2(0) + 4 = 4, so the y-intercept is (0, 4). Next, we can find the slope of the line, which is -2.

To graph the inequality -4y > -x + 12, we can start by isolating the y variable on one side of the inequality. To do this, we add x to both sides:

-4y > 12 - x

Next, we divide both sides by -4 to get y by itself:

y < -3 + (1/4)x

To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = -3 + (1/4)(0) = -3, so the y-intercept is (0, -3). Next, we can find the slope of the line, which is (1/4).

The equation | x + 3 |= y represent a vertical line with x = -3

The equation |2x – 6| + 2 = y represent a V shape with the vertex at (-3,2)

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a survey of 1021 school-age children was conducted by randomly selecting children from several large urban elementary schools The U.S. Population Census is an example of a census

Census means the procedure of counting, calculating and recording the number and information about the members of the nation's.

Generally, population census are conducted every 10 years although some nations conduct their's every 5 years.

The primary objective of population census is to know the total size of the population of a country.

Population census also enable the government to appropriate resources fairly based on the number of people in a geographical area.

In conclusion, the U.S. population census is the only example of census.

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Answer:

By combining the equations they say

Step-by-step explanation:

-8x-5y=-13

-4x-5y= 11

so subtract  lower from the upper :)

  -8x-5y= -13

-(-4x-5y=11)

multiply by the negative sign

  -8x-5y= -13

+4x +5y= -11

now do the operations of each

-4x +0 = -24

hmm looks easier now , huh

x= - 24 / -4

x=  6

plug x in to either equations and solve for y

-8(6)-5y= -13

-48 -5y= -13

-5y=35

y = - 35 / 5

y = - 7     : )  yay !!

1 solution: (-1,-3)

1) Since we are going to solve these systems graphically, let's begin by setting one pair of t-tables:

b) 2x-y=1, y=-3

2x-y=1 ⇒-y= 1 -2x ⇒ y=2x-1

Now, let's plot those points and trace one increasing line for the first one, and one horizontal line for the constant function y=-3

2) Plotting that system, we can tell the solution is the common point to both equations:

Thus, the answer is (-1,-3)

Answer: x>4 and then x<2

Step-by-step explanation: divide by 2 on both sides

Answer:

x = 5

Step-by-step explanation:

2 * 5 = 10 which is greater than 8

10 > 8

Answer:

(11+4)/3*square root of 64=40

Step-by-step explanation:

11+4=15

15/3=5

the square root of 64 is 8

5*8=40.

To meet the daily requirements of 90 units of protein, 70 units of carbohydrates, and 140 units of fat at the least cost, the diet should consist of 2 servings of food A and 3 servings of food B.

To determine the optimal diet, we need to find the combination of food A and food B that meets the required protein, carbohydrate, and fat units while minimizing the cost. Let's start by calculating the nutrient content and cost per serving for each food:

Food A:

- Protein: 30 units

- Carbohydrates: 10 units

- Fat: 20 units

- Cost: $4.50

Food B:

- Protein: 10 units

- Carbohydrates: 10 units

- Fat: 60 units

- Cost: $1.60

Now, let's set up the equations based on the nutrient requirements:

Protein: 2 servings of food A (2 * 30 units) + 3 servings of food B (3 * 10 units) = 60 + 30 = 90 units

Carbohydrates: 2 servings of food A (2 * 10 units) + 3 servings of food B (3 * 10 units) = 20 + 30 = 50 units

Fat: 2 servings of food A (2 * 20 units) + 3 servings of food B (3 * 60 units) = 40 + 180 = 220 units

We have successfully met the requirements for protein (90 units), carbohydrates (70 units), and fat (220 units). Now, let's calculate the cost:

Cost: 2 servings of food A (2 * $4.50) + 3 servings of food B (3 * $1.60) = $9 + $4.80 = $13.80

Therefore, the diet that provides the daily requirements at the least cost consists of 2 servings of food A and 3 servings of food B.

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The equation 6(x + 5) = 6x + 5 has NS (No Solution) and the equation -4x = 7x - 33 has IM (Infinite Many solutions).

Let us take the given equation

6(x + 5) = 6x + 5

⇒ 6x + 30 = 6x + 5

⇒ 6x - 6x = 5 - 30

⇒ 0 = -25

Hence, the given equation has No Solution (NS)

Let us take the given equation

-4x = 7x - 33

-4x - 7x = -33

-11x = -33

x = 3

Hence, the given equations has Infinite Many solutions (IM)

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Answer:

conjugate of (x-\(\sqrt{2}\)) is (x+\(\sqrt{2}\))

Step-by-step explanation:

Answer:

ALTERNATE EXTERIOR ANGLES

Step-by-step explanation:

If the two angles that lie on two different lines cut by a transversal and are placed on the opposite sides of the transversal are equal, it means they are ALTERNATE EXTERIOR ANGLES. Then, j is parallel to k.

Answer: x=6, y=-6

Step-by-step explanation:

-4x + -2y = -12 (a)

4x + 8y = -24 (b)

(a)+(b)= -4x+4x+8y+(-2y)=-12+(-24)

                                 6y= -36

                                   y=-6

put y=-6 into formula (a)

-4x+12=-12

-4x= -24

x=6