Please help find the constant

Answer:

The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.

Step-by-step explanation:

Answer:112

Step-by-step explanation: 1/4 divided by 28/1 = 1/112

Answer:

112 and very light

Step-by-step explanation:

The answer is (a) exactly three. The probability of selecting exactly three adults out of a sample of 20 who have been told that they have hypertension is calculated using the Binomial Distribution. The probability can be calculated using the formula:

The probability of selecting at least three adults out of a sample of 20 who have been told that they have hypertension is calculated using the Cumulative Binomial Distribution. The probability can be calculated using the formula:

The probability of selecting at most five adults out of a sample of 20 who have been told that they have hypertension is calculated using the formula:

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Answer:

Step-by-step explanation:

In the experiment, the experimenter is studying the effects of temperature, pressure, and type of catalyst on the yield of a chemical reaction. There are three different temperatures, five different pressures, and six different catalysts being considered.

The purpose of this study is to investigate how changes in temperature, pressure, and catalyst type affect the yield of the chemical reaction. By varying these factors, the experimenter can observe and analyze their individual and combined effects on the outcome.

Through the experimental design, the experimenter will be able to gather data on the yield at different temperature, pressure, and catalyst conditions. This will allow them to identify any patterns or trends and draw conclusions about the optimal combination of these variables for maximizing the yield of the chemical reaction.

The study aims to provide valuable insights into the factors that influence the yield of the reaction, enabling scientists and engineers to optimize the process and potentially improve production efficiency.

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Step-by-step explanation:

\( \frac{ {(2 - b)}^{2} }{{(b - 2)}^{2} } \)

\( \frac{(2-b)(2-b)}{(b - 2)(b - 2)} \)

\( \frac{4 - 2b - 2b + {b}^{2} }{ {b}^{2} - 2b - 2b + 4 } \)

\( \frac{4 - 4b + {b}^{2} }{ {b}^{2} - 4b + 4 } \)

(Rearrange)

\( \frac{ {b}^{2} - 4b + 4 }{ {b}^{2} - 4b + 4 } \)

Then eliminate same sign above and below.

since they all have pair, therefore the equation is equal to 1.

(If anybody did any answer please delete this I feel so embarrassed haha)

I hope you understand and let me know whether this helps :)

The test statistic is t = 24.135. (option d)

To perform the hypothesis test, we need to calculate a test statistic. In this case, we can use a two-sample t-test since we are comparing the means of two independent samples. The formula for the t-test is:

t = (x₁ - x₂) / (s_p * √(1/n₁ + 1/n₂))

where x₁ and x₂ are the sample means, s_p is the pooled standard deviation, n₁ and n₂ are the sample sizes.

Using the data provided, we can calculate the sample means and standard deviations for the two samples:

x₁ = 26.3%, s₁ = 0.37%, n₁ = 6

x₂ = 16.9%, s₂ = 0.57%, n₂ = 6

As per the percentage, we can then calculate the pooled standard deviation:

s_p = √(((n₁-1)*s₁² + (n₂-1)*s₂²) / (n₁+n₂-2))

s_p = √(((6-1)*0.37² + (6-1)*0.57²) / (6+6-2)) = 0.471%

Finally, we can calculate the t-statistic:

t = (26.3 - 16.9) / (0.471 * √(1/6 + 1/6)) = 24.135

Therefore, the test statistic is d) t = 24.135.

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Complete Question:

Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results:

Stick = [26.1, 26.5, 26.5, 25.8, 26.7, 26.2]

Liquid = [16.6, 16.5, 17.1, 17.5, 17.7, 16.3]

We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? (assume the population data is normally distributed)

a) t = 34.225

b) z = 34.225

c) z = 34.725

d) t = 24.135

e) t = 34.725

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Approximately 57.71% of the tubes will last between 52 and 61 months, inclusive, based on a normal distribution with a mean of 55 months and a standard deviation of 6 months.

Given that the lifetime of a certain type of IV tube follows a normal distribution with a mean of 55 months and a standard deviation of 6 months, we can calculate the proportion of tubes that last between 52 and 61 months.

To determine this proportion, we need to find the area under the normal curve between the z-scores corresponding to 52 and 61 months. We can calculate the z-scores using the formula:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

For 52 months:

z1 = (52 - 55) / 6 = -0.5

For 61 months:

z2 = (61 - 55) / 6 = 1.0

We then need to find the area under the normal curve between these two z-scores. We can use a standard normal distribution table or a statistical calculator to determine the corresponding probabilities. From the standard normal distribution table, we find that the area to the left of z = -0.5 is approximately 0.3085, and the area to the left of z = 1.0 is approximately 0.8413.

To find the proportion of tubes that last between 52 and 61 months, we subtract the area to the left of z = -0.5 from the area to the left of z = 1.0:

Proportion = 0.8413 - 0.3085 ≈ 0.5328

Therefore, approximately 53.28% of the tubes will last between 52 and 61 months.

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The length of a wave does not directly determine its depth. The depth of a wave is influenced by various factors, including the shape and size of the seafloor,

The temperature and salinity of the water, and the strength and direction of the current. Therefore, without additional information about these factors, it is impossible to accurately determine the depth of a wave based solely on its length. I suggest seeking the advice of an expert in oceanography or physics for a more comprehensive explanation.

The length of a wave is the distance between two successive points in the same phase, such as from crest to crest or trough to trough. In your case, the wave length is given as 30 feet. However, without additional information about the wave, we cannot determine its depth solely based on its length.

Depth refers to the vertical distance from the surface to the lowest point of a wave (trough), and it's not directly related to the wave length. Therefore, we cannot accurately choose an option (a, b, c, or d) for the depth based on the provided information.

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Answer:

\(8\sqrt{5}+3\sqrt{30}\)

Step-by-step explanation:

\(\sqrt{5}(8+3\sqrt{6})\)

\((\sqrt{5})(8)+(\sqrt{5})(3\sqrt{6})\)

\(8\sqrt{5}+3\sqrt{30}\)

Answer:

tranform the 1st one to: 3m-n=11

add the 1st and 2ns equations: 5m+2n=11

The trend projection for time period 18 is 153.0.

Trend projection is a statistical technique used to analyze historical data and make predictions about future trends. It involves identifying a pattern or trend in the data and extrapolating it into the future. This method is often used in business forecasting and financial analysis to estimate future sales, revenues, or profits.

The given linear trend expression is Tt= 129.2 + 3.8t, where t represents time periods. To find the trend projection for time period 18, substitute t=18 into the equation:

T18 = 129.2 + 3.8(18)

T18 = 129.2 + 68.4

T18 = 197.6

Therefore, the trend projection for time period 18 is 197.6.

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Answer:

The aspect of the lines that are the same is that they have the same slope while the aspect of the lines that are different is that they have different x and y-intercepts

Parallel lines are lines that do not meet in a xy-plane

If the parallel lines are vertical lines, they will both cut the x-axis at different points showing that they will have different x-intercept.

Similarly, if the parallel lines are horizontal lines, they will both cut the y-axis at different points showing that they will have different y-intercept.

Parallel lines are also known to have the same slope. This is the aspect that is common to both lines.

Step-by-step explanation:

Answer:

Um.... quick question what are the problems because the file don't work!

Step-by-step explanation:

The smallest positive degree, β, that satisfies the equation cos(β) / 3 + 0.482 = 0.16 is approximately 203.53 degrees.

To find the smallest positive degree, β, that satisfies the equation cos(β) / 3 + 0.482 = 0.16, we need to isolate the cosine term and solve for β.

First, let's rearrange the equation:

cos(β) / 3 = 0.16 - 0.482

cos(β) / 3 = -0.322

Next, multiply both sides of the equation by 3 to eliminate the fraction:

cos(β) = -0.322 * 3

cos(β) = -0.966

To find the smallest positive degree, we can use the inverse cosine (cos⁻¹) function:

β = cos⁻¹(-0.966)

Using a calculator, we can evaluate the inverse cosine to find the corresponding angle. The result is approximately 156.47 degrees.

However, we need to find the smallest positive degree, so we subtract this angle from 360 degrees:

Smallest positive degree = 360 - 156.47

Smallest positive degree ≈ 203.53 degrees.

Therefore, the smallest positive degree, β, that satisfies the equation cos(β) / 3 + 0.482 = 0.16 is approximately 203.53 degrees.

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The division of \(1.888 \times 10^9\) by \(5.9 \times 10^6\) yields a quotient of 320, which can be expressed in scientific notation as \(0.320 \times 10^3.\)

To find the quotient of \(1.888 \times 10^9\) divided by\(5.9\times 10^6\) and express it in scientific notation, we can follow these steps:

Step 1: Divide the coefficients: 1.888 ÷ 5.9 = 0.320338983

Step 2: Divide the exponents of\(10: 10^9 \div 10^6 = 10^{(9-6)} = 10^3\)

Step 3: Combine the quotient from step 1 and the exponent from  step 2: \(0.320338983 \times 10^3\)

Step 4: Simplify the coefficient: 0.320338983 can be rounded to 0.320

The final answer in scientific notation is\(0.320 \times 10^3.\)

Therefore, the quotient of\(1.888 \times 10^9\)divided by \(5.9 \times 10^6,\) expressed in scientific notation, is \(0.320 \times 10^3.\)

To understand this result, we can expand the scientific notation back to standard decimal form:

\(0.320 \times 10^3 = 0.320 \times 1000 = 320\)

So, the quotient is 320.

In summary, the division of \(1.888 \times 10^9 by 5.9 \times 10^6\) yields a quotient of 320, which can be expressed in scientific notation as \(0.320 \times 10^3.\)

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Answer: y=0.392x2 - 5.583x +21.167

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

This is most accurate, the rest do not make sense, please mark brainliest!

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Answer:$3850

Step-by-step explanation:fist do 5,500 X 1 =500

Then do 500 X 7 = 3850

Let's try to understand how we can solve this equation

Given equation,4f+2=6f-12

Now we will take the terms on one side and constants on the other.

=> 2+12=6f-4f

=> 14=2f

=>7=f

So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.

Answer:

The cat weighs more.

Step-by-step explanation:

1 pound is about 0.45 kilograms. If you convert 9lb to kilograms then you will get 4.08 kilograms, so the cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms, therefore the cat weighs more.

Answer:

4 hours

Step-by-step explanation:

y = total cost

x = per hour

Equation:

y = 200.97 + 30.39x

322.53 = 200.97 + 30.39x

322.53 - 200.97 = 30.39x

121.56 = 30.39x

x = 4

Answer:

1.28 ÷ 4 = 0.32

But the "models" make little or no sense.  I can see the three bars and two dots representing the digits 3 and 2, but that is the only image I see, repeated three times.  It also shows no reference to the decimal place, so I would say there is no real representation of it all.

Answer: (4,5)

The answer is (4,5)

your welcome

Answer

4,5

Step-by-step explanation:

is your awnser......

From the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.

In the given question,

Pattern A follows the rule "add 2" and Pattern B follows the rule subtract 2

Pattern A: 1, 3, 5, 7, 9

Pattern B: 10, 8, 6, 4, 2

We have to find which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B.

From the given question,

Pattern A:  1, 3, 5, 7, 9

Pattern B:  10, 8, 6, 4, 2

As given in the pattern A all numbers are 2 number up from the previous one and in pattern B each number is 2 number down from the previous one.

We have to combine a term in Pattern A with its corresponding term in Pattern B.

We have to combine with corresponding terms that means we combine one term from pattern A and one from pattern B.

Now the term after combining are

1, 10, 3, 8, 5, 6, 7, 4, 9, 2

So the combination of terms that can be formed are

(1, 10), (10,3), (3, 8), (8,5), (5, 6), (6,7), (7, 4), (4,9), (9,2)

Hence, from the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.

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Answer:

Giraffe = 1,000 kg

Whale = 2,000,000 kg

Step-by-step explanation:

Whale has 2,000 times the mass.

Can I please get Branliest and rate, like Thank you!

Answer:

Step-by-step explanation:

To find the percentage decrease in the value of the car, we need to calculate the percentage difference between the original price and the current price.

Step 1: Calculate the difference between the original price and the current price.

$127,000 - $105,000 = $22,000

Step 2: Calculate the percentage difference by dividing the difference by the original price and multiplying by 100.

($22,000 / $127,000) x 100 = 17.32%

Therefore, the percentage decrease in the value of the car is 17.32%.

Explanation:

The percentage decrease is calculated by finding the difference between the original price and the current price and then expressing that difference as a percentage of the original price. In this case, the original price of the car is $127,000 and the current price is $105,000. The difference between these two prices is $22,000. To find the percentage decrease, we divide this difference by the original price ($127,000) and then multiply by 100 to express it as a percentage. The resulting percentage, 17.32%, represents the percentage decrease in the value of the car.