Which of the following represents a problem that could be solved by using the inequality below?

Random assignment and random selection are both important concepts in research methodology, but they refer to different processes.

Random selection refers to the process of selecting individuals or elements from a population to be included in a study. The goal of random selection is to ensure that the sample is representative of the larger population. This helps to increase the generalizability of the findings to the population as a whole. For example, if a researcher wants to study the academic performance of high school students in a particular city, they might use random selection to select a sample of students from different schools in that city. This helps to ensure that the sample represents the diversity of students in the population.

On the other hand, random assignment refers to the process of assigning participants to different groups or conditions in a study. The goal of random assignment is to minimize any pre-existing differences between the groups, making it more likely that any differences observed between the groups can be attributed to the independent variable being studied. For example, if a researcher wants to investigate the effectiveness of a new teaching method, they might randomly assign half of the participants to receive the new method and the other half to receive the traditional method. Random assignment helps to ensure that the groups are comparable at the start of the study, reducing the likelihood of confounding variables.

In summary, random selection is about selecting a representative sample from a population, while random assignment is about assigning participants to groups or conditions in a study. Both processes are important in research methodology to ensure accurate and reliable findings.

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Answer:

Each pizza cost $4.50.

Step-by-step explanation:

p = price of each pizza  

l = cost of soda

3p + l = 15.00

l = 1.50  Plug in 1/5 for l in the equation above.

3p + l = 15.00

3p + 1.5 = 15.00  Subtract 1.52 from both sides of the equation

3p = 13.5  Divide both sides by 3

p = 4.50

If after hip surgery, your physical therapist tells you to slowly return to walking. The number of  weeks it will be before you are up to 45 minutes of walking per day is: c. 9.

Since the therapist suggests walking for 5 minutes each day for the first week and increasing that time by 5 minutes per day each week thereafter.

Hence,

You will  tend to need 9 weeks to reach 45 minutes of walking per day which are:

Week 1: 5 minutes

Week 2: 10 minutes

Week 3: 15 minutes

Week 4: 20 minutes

Week 5: 25 minutes

Week 6: 30 minutes

Week 7: 35 minutes

Week 8: 40 minutes

Week 9: 45 minutes

The total number of weeks are 9 weeks.

Therefore the correct option is C.

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Answer:

yes pls continue we need full questions

Answer:

30% increase

Step-by-step explanation:

The cube root of 126.2 is approximately 0.016 larger than the cube root of 125.

Linear approximation is a strategy for approximating the values of complicated functions. When a graph is relatively straight, this approximation is quite effective. A linear approximation for a function is a straight line that represents a close approximation of the original function.

The formula to be used is given by

df/dx = (f(x+dx)-f(x))/dx

The first derivative of the cube root of x can be computed as follows:

f(x) = x^(1/3)

df/dx = (1/3)*x^(-2/3)

Using this formula, we can calculate the linear approximation of the cube root of 126.2. This can be done as follows:

f(x + dx) ≈ f(x) + df/dx * dx

In the given case, the f(x) = ∛125 ⇒ 5

Let dx = 126.2 - 125 ⇒ 1.2

Then the linear approximation of the cube root of 126.2 is given by

f(126.2) ≈ f(125) + df/dx * dx

⇒ f(126.2) ≈ 5 + (1/3)*125^(-2/3) * 1.2

⇒ f(126.2) ≈ 5 + 0.016

⇒ f(126.2) ≈ 5.016

Therefore, the cube root of 126.2 is roughly 0.016 greater than the cube root of 125.

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a) The probability that a tire will be too narrow is 0.252492. b)The probability that a tire will be too wide is 0.091211. c) , the probability that a tire will be defective is 0.252492 + 0.091211 = 0.343703.

a. To calculate the probability that a tire will be too narrow, we need to find the area under the normal distribution curve that falls below the lower specification limit.

Using the Z-score formula, we calculate the Z-score for the lower specification limit as follows:

Z = (Lower specification limit - Mean) / Standard deviation

Z = (22.8 - 23) / 0.15

Z = -0.666667

Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the left of Z = -0.666667 is approximately 0.252492.

b. To calculate the probability that a tire will be too wide, we need to find the area under the normal distribution curve that falls above the upper specification limit.

Using the Z-score formula, we calculate the Z-score for the upper specification limit as follows:

Z = (Upper specification limit - Mean) / Standard deviation

Z = (23.2 - 23) / 0.15

Z = 1.333333

Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the right of Z = 1.333333 is approximately 0.091211.

c. The probability that a tire will be defective is the sum of the probabilities of it being too narrow and too wide, since being outside the specification limits indicates a defect.

Therefore, the probability that a tire will be defective is approximately 0.252492 + 0.091211 = 0.343703.

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Answer:

Step-by-step explanation:

The best approximation of vector u = (3,-7,2,3) as a linear combination of v₁=(2,-1,-3,1) and v₂=(1,1,0,-1) is -17/7 v₁ + 19/14 v₂.

To find the best approximation to u as a linear combination of v₁ and v₂, we need to find the coefficients x and y that minimize the distance between u and the linear combination x v₁ + y v₂. This distance is given by

d = ||u - (x v₁ + y v₂)||

where ||.|| denotes the Euclidean norm. Expanding this out gives

d^2 = ||u||^2 - 2x(u.v₁) - 2y(u.v₂) + x^2 ||v₁||^2 + y^2 ||v₂||^2 + 2xy (v₁.v₂)

where u.v₁ denotes the dot product of u and v1, and similarly for the other dot products.

To minimize d^2, we take the partial derivatives with respect to x and y and set them equal to zero

d^2/dx = -2(u.v₁) + 2x ||v₁||^2 + 2y (v₁.v₂) = 0

d^2/dy = -2(u.v₂) + 2y ||v₂||^2 + 2x (v₁.v₂) = 0

Solving these equations for x and y, we get

x = (u.v₁)(||v₂||^2) - (u.v₂)(v₁.v₂) / (||v₁||^2)(||v₂||^2) - (v₁.v₂)^2

y = (u.v₂)(||v₁||^2) - (u.v₁)(v₁.v₂) / (||v₁||^2)(||v₂||^2) - (v₁.v₂)^2

Plugging in the given values, we get

x = (32 + (-7)1 + 2(-3) + 31)(1^2) - (31 + (-7)1 + 20 + 3(-1))(21) / (2^21^2) - (1*1)^2

= -17/7

y = (31 + (-7)1 + 20 + 3(-1))(2^2) - (32 + (-7)1 + 2(-3) + 31)(12) / (1^22^2) - (1*2)^2

= 19/14

Therefore, the best approximation to u as a linear combination of v₁ and v₂ is

-17/7 v₁ + 19/14 v₂

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Answer:

x=3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The solution is:

Work/explanation:

For now I am going to focus on the left side.

I use the distributive property and "distribute" 5:

\(\bf{5(x+2)+1=26}\)

\(\bf{5x+10+1=26}\)

\(\bf{5x+11=26}\)

Subtract 11 on each side

\(\bf{5x=15}\)

Divide each side by 5

\(\bf{x=3}\)

Answer:

10 student failed in both subjects.

Step-by-step explanation:

Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:

(100 - 20) - (60 - 20) - (50 - 20) = X

80 - 40 - 30 = X

40 - 30 = X

10 = X

Therefore, 10 student failed in both subjects.

Answer:

Step-by-step explanation:

Sinθ = opp/hyp

Sinθ = 12/13

θ = ArcSin (12/13)

θ =67.38

Let x = adj

Tan (67.38) = 15/x

2.4= 15/x

x2.4= 15

x=6.25

Therefore the missing value  is 6.25

Answer:A=5

Step-by-step explanation:

A=6b

6b=30

b=5

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

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Answer:

B

Step-by-step explanation:

Answer:

The right answer is third option 68°.

answer: -2x-6

explanation: use the distributive property

>> -2(x) = -2x

-2(3) = -6

-2+-6 = -2-6

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The first high tide of the day occurs at 12:27 AM and is approximately 3.45 feet high. The low tide of the day will be around 5.58 feet.

According to the given tidal function, the height of the tide in Tom's Cove, Virginia on August 21, 2021, can be represented by the equation H(t) = 1.61 cos (5(t – 9.75)) + 2.28 TT, where t represents the time in hours after midnight. To determine the period of this function, we need to find the time it takes for the function to complete one full cycle.

In this case, the period of the function can be calculated using the formula T = 2π/ω, where ω is the coefficient of t in the function.

In the given equation, the coefficient of t is 5, so we can calculate the period as T = 2π/5. By evaluating this expression, we find that the period is approximately 1.26 hours.

Since a day consists of 24 hours, we can divide 24 hours by the period to determine the number of complete cycles within a day. Dividing 24 by 1.26, we find that there are approximately 19 complete cycles within a day.

Now, let's determine the low and high tides predicted by the model and when they occur. To find the low and high tides, we need to examine the maximum and minimum values of the function. The maximum value of the function represents the high tide, while the minimum value represents the low tide.

The maximum value of the function can be found by evaluating H(t) at the times when the cosine function reaches its maximum value of 1. These times can be determined by solving the equation 5(t – 9.75) = 2nπ, where n is an integer.

Solving this equation, we find that t = 9.75 + (2nπ)/5. Plugging this value into the function, we get H(t) = 1.61 + 2.28 TT.

Similarly, the minimum value of the function can be found by evaluating H(t) at the times when the cosine function reaches its minimum value of -1.

By solving the equation 5(t – 9.75) = (2n + 1)π, we find t = 9.75 + [(2n + 1)π]/5.

Substituting this value into the function, we obtain H(t) = -1.61 + 2.28 TT.

To determine the specific times and heights of the high and low tides, we can substitute different integer values for n and convert the resulting decimal values of t into hours and minutes.

Rounding the converted values to the nearest minute, we can obtain the following information:

The first high tide of the day occurs at 12:27 AM and is approximately 3.45 feet high. The low tide of the day will be around 5.58 feet. Please note that the exact values may vary depending on the specific integer values chosen for n, but the general procedure remains the same.

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Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:Yes

Step-by-step explanation:

So thats say each soccer ball weigh 450 grams and a kilogram is 1000 grams so we will do 450 times 3 which is 1350 and 1350 is more than 1000 grams which more than a killogram so the answer is yes and its by 350 more.

Let P represent the initial value

Let r represent annual growth rate

let n represent the number of periods

p = 890

r=3.5%

n = 10 ( since a decade is 10 years, 99 years after will be 10 decades)

the formula to calculate the value after 99 years is given by

The value of the quantity after 99 years is 1255.43

Answer:

13 1/3

Step-by-step explanation:

So the question is Marita's nose is 2 inches long and her head is 9 inches tall. Assume Mount Rushmore was carved using the same ratio. If Teddy Roosevelt's head is 60 feet tall, how long should his nose be? Round to the nearest foot, if necessary.

First divide 60 by 9 to figure out the first part of the ratio. So that is 60/9 or    6 2/3.

Then multiply 2 by 6 2/3 which is 13 1/3.

Finally when rounded to the nearest foot, it will be 13.

Ur welcome

Answer:

its actually 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

88

Step-by-step explanation:

88 Degrees

Answer:

92

Step-by-step explanation:

Corresding angles