Find the product. Your answer should be in simplest form.
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1/3 times 7

The percentage of youths surveyed that prefer reading electronic books is 54%

The percentage of a number represents a portion or fraction of that number expressed as a percentage. It is often used to describe a proportion or relative value.

To calculate the percentage of a number, you can use the following formula:

Percentage = (Part / Whole) * 100

To determine the percentage of youths that prefer electronic books is;

youths (electronic books) = number of electronic books(youth) / total number of youths.

youths (electronic books) = 40/(40 + 34) * 100

youths (electronic books) = 40/74 * 100

youths (electronic books) = 0.54 * 100

youths (electronic books) = 54%

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Answer:

A:12.898

B:7.999

Step-by-step explanation:

A: 4.361+8.537

B:2.704+5.295

Answer:

6/1

Step-by-step explanation:

the reason is because the x is increasing by 1 which is the denominator, and the y is also increasing by 6 which is the numerator. if you were to imagine those lines on a graph you would get a straight line and use rise over run to see that the slop is in fact 6/1

The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

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Answer

1953125

Step-by-step explanation:

Answer:

9765625

Step-by-step explanation:

if there is 2 pizza and 5 children then 1/5 (fraction) of a pizza, or two slices, must be given to each child.

Start with two pizzas of equal size. Cut each pizza into 5 equal slices, so you have a total of 10 slices. Give each child 2 slices of pizza. Each child receives 2 slices of pizza, which is:

2/10 = 1/5 of a pizza

Each child now has 1/5 of a pizza.

Since there are 5 children, the total amount of pizza shared is:

5 × (1/5) = 1 pizza

Therefore, each child has 1/5 of a pizza, or 0.2 of a pizza.

To get the total amount of pizza that was shared, we can add up the amount of pizza each child received:

5 × (2/10) = 1 pizza

So, each child receives 2 slices of pizza, which is 1/5 of a pizza, and the total amount of pizza shared is 2 pizzas, or 1 whole pizza per 2 children.

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The general solution to the differential equation 3y'' + 27y = 0 is y(x) = c₁ * cos(3x) + c₂ * sin(3x).

To find the general solution to the given differential equation 3y'' + 27y = 0, we will follow these steps:

1. Write down the given differential equation:

3y'' + 27y = 0

2. Divide the equation by 3 to simplify:

y'' + 9y = 0

3. Identify the characteristic equation:

r² + 9 = 0

4. Solve the characteristic equation for r:

r² = -9, which gives us r = ±3i

5. Write the general solution using the obtained roots and arbitrary constants c₁ and c₂:

y(x) = c₁ * cos(3x) + c₂ * sin(3x)

So, the general solution to the given differential equation is y(x) = c₁ * cos(3x) + c₂ * sin(3x).

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The statement is false because in exponential growth, the time required to increase by a factor of 10 actually increases as the quantity gets larger.

We have,

In exponential growth, the rate of increase becomes progressively faster as the quantity grows.

This means that the time it takes to increase by a factor of 10 will also increase. For example, if it takes 1 year to increase from 1 to 10, it may take 2 years to increase from 10 to 100, and 3 years to increase from 100 to 1000.

The time required to achieve a factor of 10 increase will depend on the specific growth rate and initial quantity.

Therefore,

The time required to increase by a factor of 10 does not remain constant for all time in exponential growth. It increases as the quantity grows larger.

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The total weight is 18.5 kilograms

We want to find the value of x, which is the hypotenuse of the triangle on the image.

We will see that the value of x is 5.77 units.

On the figure we can see a right triangle, we want to find the value of x, which is the hypotenuse of this triangle.

To do so, we can use the trigonometric relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Where θ is an internal angle of the triangle, and the adjacent cathetus is the cathetus that forms the angle.

Here we can use θ = 30°, and the adjacent cathetus is the one that has a measure of 5 units,  then the value of x is given by the equation:

cos(30°) = 5/x

Solving that for x we will get:

x = 5/cos(30°) = 5.77

The hypotenuse measures 5.77 units.

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Answer:

x = -2

Step-by-step explanation:

-11x + 14 = 36

-11x = 36 - 14

-11x = 22

x = 22/-11

x = -2

Answer:

-2

Step-by-step explanation:

1. Subtract 14 from both sides.

2. Simplify 36−14 to 22.

3. Divide both sides by -11.

4. Simplify 22/11 to 2.

Answer:

x = -7

Step-by-step explanation:

-9x - 8 = 55

Add 8 to both sides

-9x = 63

Divide both sides by -9

x = -7

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Step-by-step explanation:

answer is in picture see

hope it helpful

In this case, we are given sides d and e and the measure of angle F, and we want to find the measure of angle D. So we can rearrange the formula to solve for cos(D):

cos(D) = (a^2 + b^2 - c^2) / 2ab

Then we can take the inverse cosine (cos^-1) of cos(D) to find the measure of angle D:

D = cos^-1[(a^2 + b^2 - c^2) / 2ab]

Substituting the given values, we get:

c = 98 inches

a = 88 inches

b = sqrt(a^2 + c^2 - 2accos(F)) = sqrt(88^2 + 98^2 - 28898cos(92°)) ≈ 47.75 inches

Now we can plug these values into the formula for cos(D):

cos(D) = (88^2 + 47.75^2 - 98^2) / (28847.75) ≈ 0.766

And then take the inverse cosine to get the measure of angle D:

D ≈ cos^-1(0.766) ≈ 39.1°

Therefore, ∠D ≈ 39° to the nearest degree.

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Answer:

2 5/12

Step-by-step explanation:

The risk of explosion in the process industry is 6.6594e-06 per year.

To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.

Step 1: Calculate the probability of an explosion.

The probability of a gas release per year is given as\(1.23 * 10^-^5\).

The probability of ignition is 0.54.

The probability of fatal injury is 0.32.

To calculate the risk of explosion, we multiply these probabilities:

Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury

Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32

Risk of explosion = 6.6594 *\(10^-^6\) per year

Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.

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Answer:

The answer is Sue or B

Step-by-step explanation:

Sue Paid : 0.12 per ounce when divided

Sarah Paid 0.13 per ounce when divided

Answer:

C, Sarah paid less

Step-by-step explanation:

3.84/32 = 0.12

5.20/40 = 0.13

Sarah paid less per ounce.

Step-by-step explanation:

Refer to pic...........

Answer:

-8(x²-2)

Step-by-step explanation:

Factor -8 out of -8x²

-8(x²)+16

Factor -8 out of 16.

-8(x²)-8(-2)

Factor -8 out of -8(x²)-8(-2).

Answer:

hope this will help you more...best of luck

Using the expected value of the binomial distribution, it is found that the robot would be expected to find 19 flawed in a batch of 95 bulbs.

For each bulb, there are only two possible outcomes, either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, hence, the binomial distribution is used to solve this question.

The expected value is given by:

\(E(X) = np\)

In this problem:

Then, the expected value is:

\(E(X) = np = 95(0.2) = 19\)

The robot would be expected to find 19 flawed in a batch of 95 bulbs.

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Answer:

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

Inequality Form:

p>15

Interval Notation:

(15,∞)

:)

The minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268

Given: To find the minimum sample size, confidence level = 99%, standard deviation = 13.8, and one unit population mean. [Normally distributed]

Solving the given question:

We know that the formula for Margin of error is:

Margin of error = z-score * (standard deviation) / root (sample size)

E = z * σ / √(n), where

E = Margin of error

z = z-score

n = Sample size

σ = standard deviation

Therefore, sample size = ( z – score * standard deviation / margin of error)²

n = ( z * σ / E )²

First, calculate the z-score for the 99% confidence level.

From the normal distribution curve, the area under 99% confidence level is given as:

Area under 99% confidence level = (1 + confidence level) / 2 = (1 + 0.99) / 2 = 0.995

From the z-score table, we find the value of z with the corresponding area of 0.995

We find the value of the z-score corresponding to 0.995 is 2.58

Also given sample mean is one unit of the population. So the margin of error is 1

E = 1

And given Standard deviation = 13.8

σ = 13.8

Putting the values in the given formula of sample size n =

n = (2.58 * 13.8 / 1 )²

n = 1267.64

n = 1268

Hence the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268

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Disclaimer: Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and G = 13.8. Assume the population is normally distributed. A 99% confidence level requires a sample size of (Round up to the nearest whole number as needed )

To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest

I = P * r * t.

I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,

Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.

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Answer:-3

Step-by-step explanation:

The minimum value of a function can be obtained from its derivative

The point on the x-axis that makes \(\overline{AC}\) + \(\overline{BC}\) minimum is the point \(\underline{(9, \, 0)}\)

Reason:

Let (d, 0) represent the coordinate of the point, on the x-axis, we have;

\(\overline{AC}\)² = (4 - d)² + (-5)²

\(\overline{AC}\) = √((4 - d)² + (-5)²)

\(\overline{BC}\)² = (12 - d)² + 3²

\(\overline{BC}\) = √((12 - d)² + 3²)

\(\overline{AC}\)² + \(\overline{BC}\)² = L =  4² + (-5 - d)² + 12² + (3 - d)²

When \(\overline{AC}\) + \(\overline{BC}\) is minimum, we have;

\(\lim_{n \to \infty} a_n \dfrac{d}{dd} (\overline{AC} + \overline{BC}) = \dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = 0\)

Which gives;

\(\dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = \dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8\cdot d + 41} }\)

Therefore;

\(\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} } = 0\)

\(\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } =- \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} }\)

Squaring both sides and cross multiplying gives;

16·d² - 528·d + 3456 = 0

Which gives;

16·(d - 24)·(d - 9) = 0

Therefore, d = 24, and d = 9

The point (9, 0), is closer to the given points than the point (24, 0), therefore;

The point on the x-axis that makes \(\overline{AC}\) + \(\overline{BC}\) minimum is the point \(\underline{(9, \, 0)}\)

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Answer:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.

So, a one-way ANOVA would be used.

The hypothesis can be defined as follows:

H₀: There is no difference between the means, i.e. \(\mu_{1}=\mu_{2}=\mu_{3}\)

Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.

Use MS-Excel to perform the ANOVA test.

Go to Data – Data Analysis – Anova: Single Factor

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-test statistic value is, F = 5.143.

The p-value of the test is, p-value = 0.072.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.072 > α = 0.05

The null hypothesis will not be rejected.

Conclusion:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.

Amplitude:

The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values ​​of a variable. In the previous text, the phase of a periodic function is called the amplitude.

                       X = A sin (ω[ t - K]) + b

A is the amplitude (or peak amplitude),

x is the oscillating variable,

ω  is angular frequency,

t is time,

K and b are arbitrary constants representing time and displacement respectively.

According to the Question:

An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:

X= A/5* sin(1000.t + 120)

These oscillations have a certain amplitude. X values ​​can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.

For theses cases X= A/5 respectively -A/5.

Therefore,

The amplitude is A/5.

For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.

Complete question:

Can I find the amplitude of this equation? A/5 *