ratios that are equivalent to 3 boys over 5 girls

Answer: 9/8 feet per hour fast is Kelly's knitting speed

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 meters per second or 4 miles per hour.

As per the statement:

Kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf.

She took /3 hours to knit 3/8 foot of the scarf.

Therefore, 9/8 feet per hour fast is Kelly's knitting speed.

Hope I helped!

Answer:

4800 students

Step-by-step explanation:

120x40=4800students

4800 can sit in the class

Answer:

16,25,36,49,64,81 so there is 6 or answer choice C

Step-by-step explanation:

========================================================

Explanation:

Here's the list of the first few perfect squares:

1,4,9,16,25,36,49,64,81,100,121,...

The values underlined represents items between 10 and 90. There are 6 numbers that fit the description.

If working adults aged 22-25 spend an average of $14.27 a day on food with a standard deviation of $2.25, then Jeremy would spend approximately $23.27 per day if his expenditure is 4 standard deviations above the average.

To calculate how much Jeremy spends per day, we need to find a value that is 4 standard deviations above the average.

Mean (average) = $14.27

Standard deviation = $2.25

To find the amount Jeremy spends per day, we multiply the standard deviation by 4 and add it to the mean:

Jeremy's daily spending = Mean + (4 * Standard deviation)

Jeremy's daily spending = $14.27 + (4 * $2.25)

Jeremy's daily spending = $14.27 + $9.00

Jeremy's daily spending = $23.27

Therefore, Jeremy spends approximately $23.27 per day, rounded to 2 decimal places.

The concept used to solve the problem is based on the standard deviation and the number of standard deviations above the mean.

In statistics, the standard deviation measures the amount of variation or dispersion in a dataset. It tells us how spread out the data points are from the mean.

To find Jeremy's daily spending, we are given the average daily spending ($14.27) and the standard deviation ($2.25). Since Jeremy's spending is described as 4 standard deviations above the average, we need to multiply the standard deviation by 4 to get the amount.

By multiplying the standard deviation ($2.25) by 4, we obtain the additional amount Jeremy spends above the average. Adding this to the mean ($14.27) gives us Jeremy's daily spending of $23.27.

This approach allows us to calculate the value of Jeremy's spending based on the average, standard deviation, and the given number of standard deviations above the mean.

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The factorise quadratic equation x² + 18x + 45 = 0 is (x + 3)(x + 15)

A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable.

Therefore, quadratic equation can be represented as follows:

ax² + bx + c

where

Hence, let's factorise x² + 18x + 45 = 0

x² + 18x + 45 = 0

Let's find the two numbers to add to get 18 and multiply to get 45

Therefore, the numbers are 3 and 15

x² + 18x + 45 = 0

x² + 3x + 15x + 45 = 0

x(x + 3) + 15(x + 3) = 0

(x + 3)(x + 15) = 0

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According to the question, it was revealed that 5% of all automobiles did not pass inspection. Of the next ten automobiles entering the inspection station

a. The probability that none will pass inspection is

P(x = 0) = \(^{10}C_{0}(0.05)^{0}(0.95)^{10}\)

P(x = 0) = 0.5987

b. The probability that all will pass inspection is

P(x = 10) = \(^{10}C_{0}(0.05)^{10}(0.95)^{0}\)

P(x = 10) = 0.5987

c. The probability that exactly two will not pass inspection is

P(x = 2) = \(^{10}C_{2}(0.05)^{2}(0.95)^{8}\)

P(x = 2) = 0.0746

a. The probability that none will pass inspection is 0.001%.

b. The probability that all will pass inspection is 59.87%.

c. The probability that exactly two will not pass inspection is 0.27%.

d. The probability that more than three will not pass inspection is 0.0102.

e. The probability that fewer than two will not pass inspection is 6.48%.

In statistics, probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain.

In a particular county of our state, it was revealed that 5% of all automobiles did not pass inspection. This means that the probability of an automobile not passing inspection is 0.05, and the probability of an automobile passing inspection is 0.95.

To find the probability of none of the ten automobiles passing inspection, we need to multiply the probability of an automobile not passing inspection by itself ten times since the events are independent. Therefore, the probability of none of the ten automobiles passing inspection is 0.05¹⁰, which is approximately 0.00001 or 0.001%.

To find the probability of all ten automobiles passing inspection, we need to multiply the probability of an automobile passing inspection by itself ten times since the events are independent. Therefore, the probability of all ten automobiles passing inspection is 0.95¹⁰, which is approximately 0.5987 or 59.87%.

To find the probability of exactly two of the ten automobiles not passing inspection, we need to use the binomial distribution formula. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient. Therefore, the probability of exactly two of the ten automobiles not passing inspection is P(X=2) = (10 choose 2) * 0.05² * 0.95⁸, which is approximately 0.0027 or 0.27%.

The complement rule states that the probability of an event occurring is equal to one minus the probability of the event not occurring. Therefore, the probability of more than three of the ten automobiles not passing inspection is 1 - P(X<=3), where P(X<=3) is the probability of three or fewer automobiles not passing inspection.

To find P(X<=3), we can use the binomial distribution formula with k=0,1,2, and 3. Therefore,

P(X<=3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)

=> (10 choose 0) * 0.05⁰ * 0.95¹⁰ + (10 choose 1) * 0.05¹ * 0.95⁹ + (10 choose 2) * 0.05² * 0.95⁸ + (10 choose 3) * 0.05³ * 0.95⁷, which is approximately 0.9898 or 98.98%.

Therefore, the probability of more than three of the ten automobiles not passing inspection is 1 - 0.9898, which is approximately 0.0102.

To find the probability of fewer than two of the ten automobiles not passing inspection, we need to use the complement rule again. The probability of fewer than two automobiles not passing inspection is the same as the probability of one or zero automobiles not passing inspection.

To find the probability of more than two automobiles not passing inspection, we can use the complement rule again:

=> P(X>2) = 1 - P(X<=2) = 1 - (P(X=0) + P(X=1) + P(X=2)) = 1 - [((10 choose 0) * 0.05⁰ * 0.95¹⁰ + (10 choose 1) * 0.05¹ * 0.95⁹ + (10 choose 2) * 0.05² * 0.95⁸]

which is approximately 0.0648 or 6.48%.

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The correct answer is option A which is y = 25x + 100.

Given the following:

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month

We need to write an equation for the cost (y) based on the number of months.

To solve the above problem, the answer is;a. y = 25x + 100

Explanation; Let's break down the problem

The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months

Therefore the correct answer is option A which is;y = 25x + 100.

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To join a local square dancing group,

Jan has to pay a $100 sign-up fee plus $25 per month.

The equation for the cost (y) based on the number of months is

y = 25x + 100,

where x is the number of months.

Option A is the correct equation for the cost based on the number of months.

Writing the equation:

y = 25x + 100

Where:

y = Cost based on the number of months

x = Number of months

Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:

$25 * 1 + $100 = $125

And if Jan has been a part of the group for 4 months, then the total cost would be:

$25 * 4 + $100 = $200

Therefore, option A is the correct answer.

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The multiplication Table of 09 is:

09, 18, 27, 36, 45, 54, 63, 72, 81, 90,

99, 108,117,126, 135,144, 153,162,171,180.  

Multiplication Table:

The multiplication table for 9 gives the result of multiplying the number 9 by another whole number. Memorization Table 9 develops memory, a transferable ability that can help students during their learning phase and in life. Students who understand Table 9 are generally more confident in their math skills. A fun fact about the number 9 is that if you flip it over, it becomes the infinity sign (∞). In this unit, you will learn the multiplication table for 9 with whole numbers up to 20 and tips for memorizing it.

Table 9 is one of the most important of tables 1-10 for children. However, some children have difficulty learning and understanding Table 9. Also, learning the multiplication tables for large numbers will be scary and confusing. Parents and teachers need to find more innovative ways to teach children the multiplication table in a fun and engaging way.

The multiplication table for 9 is obtained by multiplying the number 9 by all natural numbers.

9 × 1 = 9           9 × 6 = 54

9 × 2 = 18   9 × 7 = 63

9 × 3 = 27   9 × 8 = 72

9× 4 = 36   9 × 9 = 81

9 × 5 = 45   9× 10 = 90

9 × 11 = 99   9 × 16 = 144

9 × 12 = 108   9 × 17 = 153

9 × 13 = 117   9 × 18 = 162

9 × 14 = 126   9 × 19 = 171

9× 15 = 135   9 × 20 = 180

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The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.

To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).

Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result

Probability = 5 / 28

Simplifying this fraction, we get:

Probability ≈ 0.1786

Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

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A relation's origin is represented as an ordered pair.

(-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2) are all ordered pairs that reflect the same function (4, 3)

A composite of the x coordinate and the y coordinate, an ordered pair has two values that are stated in a defined order between parenthesis. In order to have a better understanding of what is being shown on the screen, it is helpful to identify a point on the Cartesian plane.

Either of the following conditions must be true for an ordered pair to constitute a function:

Every x-value has precisely one matching y-value, or "one-to-one."

This is a many-to-one relationship, meaning that several x-values map to the same set of y-values.

The ordered pair is not a function if and only if both of the following are false

A one-to-many relationship means that for every x-value, there may be many y-values.

Many x-values map to many y-values; the relationship is many-to-many.

Only the ordered pair (5, -2) meets the criteria for a function out of the possibilities (5, -4), (3, 4), (2, -2), (4, 3), and (-4, -2).

This is because no x-values in its range have more than one associated y-value.

One-to-many and many-to-many ordered pairings make up the rest of the set.

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CQ

Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return

The probability that a randomly selected person from the group will have a systolic blood pressure below 112 is 0.0548.

To find the probability that a randomly selected person from the group will have a systolic blood pressure below 112, we need to standardize the variable using the z-score formula:

z = (x - μ) /σ

where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation.

For this problem, we have:

z = (112 - 120) / 5 = -1.6

Now, we need to find the probability that Z (the standardized variable) is less than -1.6. We can do this by using a standard normal distribution table.

Using a standard normal distribution table, we find that the probability of Z being less than -1.6 is approximately 0.0548.

Therefore, the probability that a randomly selected person from the group will have a systolic blood pressure below 112 is approximately 0.0548 or 5.48%.

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Answer:

divide the 32 by 4:

then the equation becomes:

8 x 9 x 5 = 360

this is the same as 32 x 9 x 5/4 = 360

The  value of given expression is -360.

An equation is a statement that proves that two expressions connected by the equals sign "=" are equal.

In algebra, an equation is a condition on a variable. It only applies to a specific variable value.

Algebra takes into account two prominent families of equations: linear equations and polynomial equations.

Given -32 x 9 x 5/4

since equation is in multiple form

32 is divided by 4 completely

32/4 = 8

and equation become

-8 x 9 x 5

follow the multiplication we get

-360.

Hence the product is -360.

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Lee Jenkins worked the following hours as a manager for a local Pizza Hut 5 4/1​, 9 4/3​, 7 4/3​ and 8 4/3​.

Now, the above-mentioned hours are not in the proper form that we are required to calculate. Therefore, we need to change them into the proper format .In order to add these hours, we must first convert the hours and minutes to the same format.

We'll need to convert each fraction to a common denominator of 3x3=9.  5 4/1​ in the mixed format is 5 + 4/1,
which is equal to 9. 9 4/3 in the mixed format is 9 + 4/3,
which is equal to 10 1/3.7 4/3​ in the mixed format is 7 + 4/3,

which is equal to 8 1/3.8 4/3​ in the mixed format is 8 + 4/3,
which is equal to 9 1/3.Now that we've converted the times,

we can add them together to get a total of 36 1/3 hours.

Therefore, Lee worked for 36 1/3 hours. the total number of hours Lee worked as a manager for the local Pizza Hut is 36 1/3 hours.

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The warning approach is an example of Detection of error type prevention.

Error is a conscious or unconscious departure from a standard of conduct. A bug is a mistake in computer data. A software bug is an error, flaw, failure, or fault that results in an unwanted behavior from a computer program or system or leads it to deliver an inaccurate or unexpected outcome. Errors caused by bugs may have repercussions. The majority of defects are caused by faults and blunders in a program's source code, in its design, or in the parts and operating systems that these programs rely on.

After pressing submit or a PAR or KC quiz, D2Lprovides a warning if you have not saved your answers to one or more questions before grading your assignment. Since you are still permitted submit a quiz with unanswered questions, using a warning approach is an example of Detection type of error prevention

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Answer:

here is what I came up with 26.4

Answer:

60.444

Step-by-step explanation:

Answer:

A quadratic equation for the height of an object is written as:

h(t) = a*t^2 + b*t + c

We can derivate it with respect to the time to get the velocity:

v(t) = 2*a*t + b

We can derivate it with respect to the time to get the acceleration:

a(t) = 2*a

Then:

a = half of the acceleration. (the gravitational acceleration for problems like this)

b = initial vertical velocity.

c = initial height.

In our case we have:

h(t) = -16t^2 + 44t + 3.5

-16 is half of the acceleration, we know that the gravitational acceleration is:

g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.

44 is the initial vertical velocity of the ball  (44ft/s)

3.5 is the initial height. (3.5ft)

Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity

Specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.

What is a Variable?

A variable is a quantity that can change in the context of a mathematical problem or experiment. We usually use one letter to represent a variable. The letters x, y, and z are common general symbols used for variables.

The procedure for identifying or indicating the value of cases on a variable is commonly known as data coding or data labeling. It involves assigning specific numerical or categorical values ​​to represent different categories or levels of a variable.

Here is the general procedure for encoding variables:

Define the variable: Start by clearly defining the variable you want to code. Understand its nature (eg nominal, ordinal, interval or ratio) and the categories or levels it covers.

Determine the encoding scheme: Decide on the encoding scheme you will use to represent the variable. For nominal variables (categories without their own order), you can assign numbers or labels to each category. For ordinal variables (categories with a meaningful order), you can assign numbers or labels that reflect the order. For interval or ratio variables, the numerical values ​​themselves can indicate the value of the variable.

Assign Codes: Assign specific codes or labels to represent each category or level of the variable. These codes can be numbers, letters, or any other symbol you choose. Make sure the codes are unique and do not overlap.

Apply Coding: Apply assigned codes to matching cases or observations in your dataset. Depending on the software or tool you are using, there are different ways to do this. You can manually enter codes, use syntax or programming commands, or use data transformation functions.

Verify your coding: Double-check your coding to ensure accuracy. Review a sample of the coded cases to ensure they match the intended coding scheme. This step is essential to avoid errors and inconsistencies in your data.

It is important to note that specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.

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Answer:

A =2.5 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 1.8 /2 = .9

A = 3.142 ( .9)^2

A=2.54502

Round to 1 decimal place

A =2.5 cm^2

a) The Mach number at the duct entrance is 0.878.

b) The temperature and pressure in the square section is 727 R.

c) The maximum length of the duct that can be added before the flow chokes is 40.9 feet.

a) To determine the Mach number at the duct entrance, first use the isentropic flow equation to calculate the velocity.

\($\frac{2}{\gamma-1}\left[\left(\frac{P_{0}}{P_{1}}\right)^{\frac{\gamma-1}{\gamma}}-1\right]=M^{2}$\)

Where P0 is the ambient pressure, P1 is the static pressure, and M is the Mach number. Assuming a perfect gas with γ = 1.4,

\($\frac{2}{1.4 - 1}\left[\left(\frac{14.7}{P_{1}}\right) ^{\frac{1.4-1}{1.4}} - 1\right] = M^{2}$\)

Because all we are given is the ambient pressure and a Mach number of 0.50 in the second section, the Mach number at the entrance can be found by solving this equation for M:

\($M = \sqrt{\frac{2}{1.4 - 1}\left[\left(\frac{14.7}{P_{1}}\right) ^{\frac{1.4-1}{1.4}} - 1\right] } = 0.878$\)

b) To determine the temperature and pressure in the 8 x 8 in. square section, use the isentropic flow equation for area ratio

\($\frac{A_{1}}{A_{2}} = \Big(\frac{2}{\gamma+1}\Big)^{\frac{\gamma + 1}{2(\gamma -1)}}M^{\frac{2}{\gamma - 1}}$\)

The area ratio for this problem is:

\($\frac{12^{2}} {8 \times 8} = 4$\)

With a Mach number of 0.50 and γ = 1.4, the equation becomes

\($4 = \Big(\frac{2}{\gamma+1}\Big) ^{\frac{\gamma+1}{2(\gamma-1)}} \big(0.5 \big) ^{\frac{2}{\gamma-1}}$\)

Solving this equation yields

\($P_{2} = 3.27 \quad psia$\)

\($T_{2} = 727 \quad \text{R}$\)

c) To determine the amount of 8 × 8 in. duct that can be added before the flow chokes, use the same equation used in part b. with M=1. The area ratio for this problem is again 4, so the equation becomes

\($4 = \Big(\frac{2}{\gamma+1}\Big) ^{\frac{\gamma+1}{2(\gamma-1)}} \big(1 \big) ^{\frac{2}{\gamma-1}}$\)

Solving for P₂ yields

\($P_{2} = 1.90 \quad psia$\)

Assuming f = 0.04 in the 8 × 8 in. duct, the maximum length of this duct that can be added before the flow chokes is

\($L_{max} = \frac{2 \times 0.04 \times 14.7}{1.90 - 0.04 \times 14.7} \times \frac{144}{\pi D_{2}^{2}} = 40.9 \quad ft$\)

Therefore,

a) The Mach number at the duct entrance is 0.878.

b) The temperature and pressure in the square section is 727 R.

c) The maximum length of the duct that can be added before the flow chokes is 40.9 feet.

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Answer:

Step-by-step explanation: Negatives because a number lower than 0 go like this -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 see? so the answer is Negatives.

Answer:

the school band

Step-by-step explanation:

the band, the band has a percentage of 53.85...,which is (14/26)x100, and the choir has 35.71% which is (5/14)x100

Answer:a

Step-by-step explanation:a

2.8 pls give brainiest

The rate at which the length of a side is decreasing when the area of the triangle is 300 cm² is approximately -0.083 cm/min, or -1/12 cm/min, accurate to 3 decimal places.

Let's use the formula for the area of an equilateral triangle to relate the rate of change of the area to the rate of change of the side length.

The area of an equilateral triangle with side length s is given by:

A = (√3/4) s²

Taking the derivative of both sides with respect to time t, we get:

dA/dt = (√3/2) s ds/dt

where ds/dt is the rate at which the side length is changing.

We know that dA/dt = -5 cm²/min (since the area is decreasing at a rate of 5 cm²/min), and we want to find ds/dt when A = 300 cm².

So we have:

-5 = (√3/2) s ds/dt

Solving for ds/dt, we get:

ds/dt = -10/(√3s)

When A = 300 cm², the side length can be found by rearranging the formula for the area:

s² = (4/√3) A

s² = (4/√3) (300)

s = 20√3 cm

Substituting this value into the expression for ds/dt, we get:

ds/dt = -10/(√3(20√3))

ds/dt = -1/12 cm/min

Therefore, the rate at which the length of a side is decreasing when the area of the triangle is 300 cm² is approximately -0.083 cm/min, or -1/12 cm/min, accurate to 3 decimal places.

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Estimates suggest that up to 90% of children with disabilities have some type of nutritional problem.

These children often face unique challenges that can contribute to a higher risk of nutritional deficiencies or imbalances.

Disabilities can affect various aspects of a child's health, including their ability to eat, digest, absorb nutrients, and maintain a healthy weight.

Additionally, certain disabilities may require specific dietary restrictions or specialized nutritional interventions, which can further complicate their nutritional status.

It is crucial to address these nutritional issues and provide appropriate support to ensure the optimal growth and development of children with disabilities.

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Probability for the number of correct answers  is fewer than 4 is 0.3993.

The probability that the number x of correct answers is fewer than 4 can be found using the binomial probability formula:

P(X = x) = (n choose x) * p^x * (1-p)^(n-x)

Where n is the number of trials, x is the number of successes, and p is the probability of success.

For this problem, n = 8, p = 0.45, and we want to find P(X < 4).

To find P(X < 4), we need to find the probability of 0, 1, 2, and 3 correct answers and add them together:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula, we can find each of these probabilities:

P(X = 0) = (8 choose 0) * 0.45^0 * (1-0.45)^(8-0) = 0.0059
P(X = 1) = (8 choose 1) * 0.45^1 * (1-0.45)^(8-1) = 0.0416
P(X = 2) = (8 choose 2) * 0.45^2 * (1-0.45)^(8-2) = 0.1275
P(X = 3) = (8 choose 3) * 0.45^3 * (1-0.45)^(8-3) = 0.2243

Adding these probabilities together, we get:

P(X < 4) = 0.0059 + 0.0416 + 0.1275 + 0.2243 = 0.3993

Therefore, the probability that the number x of correct answers is fewer than 4 is 0.3993.

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The length of side t in triangle TUV is  162.6 inches.

To find the length of side t in triangle TUV, we can use the Law of Sines, which states that the ratio of a side length to the sine of its opposite angle is constant for all sides and angles in a triangle.

The Law of Sines is given by the formula:

sin(A) / a = sin(B) / b = sin(C) / c

In this case, we know the measures of angles V and T and the length of side u. Let's assign the unknown length of side t as 'x'. The equation for the Law of Sines becomes:

sin(151°) / 380 = sin(25°) / x

Now, we can solve for 'x' by cross-multiplying and rearranging the equation:

x = (380 * sin(25°)) / sin(151°)

Using a calculator, we can evaluate the right-hand side of the equation to find:

x ≈ (380 * 0.4226182617) / 0.9876883406

x ≈ 162.5586477

Therefore, the length of side t, to the nearest tenth of an inch, is approximately 162.6 inches.

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The correct statement is 'the basis for a statistical process control chart is a(the) sampling distribution'

In this question, we have been given a statement.

We need to select the correct option to complete the given statement.

Given statement:

the basis for a statistical process control chart is a(the) ............

We know that  statistical process control chart or graph is used to study how a process changes over time with data plotted.

A  statistical process control chart is nothing but a line graph showing a measure in consecutive order, with the measure on the y-axis and time or observation number on the horizontal x-axis.  The use of statistical  process control chart in the monitoring and maintaining of the quality found in a sample.

Therefore, the correct statement is 'the basis for a statistical process control chart is a(the) sampling distribution'

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Answer:

x = 4

Step-by-step explanation:

We have the algebraic expression 3x + 16 = 7x and are asked to solve.

When we need to solve for x, we need to get x alone always.

So 3x + 16 = 7x.

Subtract 3x from both sides :

16 = 4x

Divide 4 from both sides :

x = 4

Answer:

\( \large \boxed{x = 4}\)

Step-by-step explanation:

Goal

Given

\(3x + 16 = 7x\)

Step 1

\(16 = 7x - 3x \\ 16 = 4x\)

Step 2

\( \frac{16}{4} = x \\ 4 = x\)

Step 3

\(3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28\)

The equation is true for x = 4. Hence, the solution is x = 4

The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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