.The College of Engineering of a State University gives an entrance exam to incoming freshmen. Those who got scores equal or higher than the set passing are accepted in the College. The average score of the incoming freshmen was 80% before the implementation of K to 12 education system. Due to this implementation, the entrance exam was suspended for two years and it is thought that the quality of the first year students had diminished. However, with the vision, mission, goals and objectives of the University and the College towards quality education, the Dean wants to determine if the quality of freshmen students has changed. He wants to know if it has improved or diminished so a small random sample of 15 freshmen students and administers the same entrance exam. The average score is found to be 83% with a standard deviation of 5%. Determine whether the quality has changed using 1% level of significance.
Another questions:
A random variable of 25 packs of powdered milk showed a mean content of 237 grams with a standard deviation of 8.56 grams while a sample of 20 packs of another brand of powdered milk showed a mean content of 240 grams with a standard deviation of 9.75 grams. Using a 0.05 level of significance, is there significant difference in the mean content of the two brands of powdered milk? Assumed variances are equal.

Answer:

The answer is the first one "If they play a large number of turns, they should expect to average about 1.5 points per turn."

Step-by-step explanation:

This is essentially, because the 1st answer makes sense, while the other two are kind of ridiculous. Saying that the amount of points are exactly 3 points is not true, and saying it is possible to get 1.5 points on a turn is also impossible.

Answer:

4(3) + 3(2) - 2 = 16

5(2) + 3 = 13

Step-by-step explanation:

You insert the numerical values given for the variables X and Y.

Answer:

i know the answer

Step-by-step explanation:

Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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The cylindrical shell is subjected to an internal pressure of 70MPa. The shell's inner radius is 10 cm, and the outer radius is 16 cm. The maximum and minimum hoop stresses in the cylindrical shell are determined below.

For an element of thickness dr at a distance r from the center, the hoop stress is given by equation i:

σθ = pdθ...[i]Where, p is the internal pressure.

The thickness of the shell is drThe circumference of the shell is 2πr.

Therefore, the force acting on the element is given by:F = σθ(2πrdr)....[ii]

Let σmax be the maximum stress in the shell. The stress at radius r = a, which is at the maximum stress, is given by:σmax = pa/b....[iii]

Here a = radius of the shell, and b = thickness of the shell.

According to equation [i], the hoop stress at radius r = a is given by:σmax = pa/b....[iii].

Substitute the given values:σmax = 70 × 10^6 × (16 - 10)/(2 × 10) = 56 × 10^6 Pa.

The minimum hoop stress in the shell occurs at the inner surface of the shell. Let σmin be the minimum stress in the shell.σmin = pi/b....[iv].

According to equation [i], the hoop stress at radius r = b is given by:σmin = pi/b....[iv]Substitute the given values:

σmin = 70 × 10^6 × 10/(2 × 10) = 35 × 10^6 Pa.

Therefore, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa.

A thick cylindrical shell with an inner radius of 10 cm and an outer radius of 16 cm is subjected to an internal pressure of 70MPa. Maximum and minimum hoop stresses in the cylindrical shell can be determined using equations and the given data. σθ = pdθ is the formula for hoop stress in the cylindrical shell.

This formula calculates the hoop stress for an element of thickness dr at a distance r from the center.

For the cylindrical shell in question, the force acting on the element is F = σθ(2πrdr).

Let σmax be the maximum stress in the shell. According to equation [iii], the stress at the radius r = a, which is the maximum stress, is σmax = pa/b.σmax is calculated by substituting the given values.

The maximum hoop stress in the shell is 56 × 10^6 Pa according to this equation.

Similarly, σmin = pi/b is the formula for minimum hoop stress in the shell, which occurs at the inner surface of the shell.

The minimum hoop stress is obtained by substituting the given values into equation [iv].

The minimum hoop stress in the shell is 35 × 10^6 Pa.As a result, the maximum and minimum hoop stresses in the cylindrical shell are 56 × 10^6 Pa and 35 × 10^6 Pa, respectively.

Thus, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa. These results are obtained using equations and given data.

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Given information: 20% of business majors major in finance. Suppose, we take a random sample of 3 business majors. We need to find the probability of only one of them majors in finance.

The probability of a success is defined as:P(success) = p = 20% = 0.20 The probability of failure is defined as:P(failure) = q = 1 - p = 1 - 0.20 = 0.80The total number of trials is given as:n = 3We need to find the probability of only one of them majors in finance. Therefore, the probability that only one student majors in finance is:P(X = 1) = nC₁p¹qⁿ⁻¹P(X = 1) = 3C₁(0.20)¹(0.80)³P(X = 1) = 3(0.20)(0.512)P(X = 1) = 0.3072

Therefore, the probability that only one student majors in finance is 0.3072 (approximately).Hence, the required probability is approximately 0.3072.

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Answer:

d = 100t

Step-by-step explanation:

d = 100 * t

0 = 100 * 0

100 = 100 * 1

200 = 100 * 2

300 = 100 * 3

Answer: 11u + 4v

Step-by-step explanation:

8u + 3u = 11u

9v - 5v = 4v

Answer:

I didn't Sanderstead sorry

The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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(-4,0)

-4 is in the y axis and 0 is in the x axis

The exponential function f(x) = Caᶻ that goes through the points (0,5) and (3, 40) can be determined by finding the value of C.

We can use the given points to form a system of equations. Plugging in the coordinates of the first point (0,5), we get: 5 = Ca⁰. Since any number raised to the power of 0 is 1, this equation simplifies to : 5 = C. Next, we plug in the coordinates of the second point (3, 40): 40 = Ca³. Simplifying this equation, we get: 40 = C * a³. To solve for C, we can divide the second equation by the first equation: 40/5 = (C * a³) / C , 8 = a³. Taking the cube root of both sides, we find that a = 2.Therefore, C = 5.

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Answer:

1

Step-by-step explanation:

Using the order of operations, we know we need to start by evaluating the expression in the parenthesis, and further we need to compute 3^2 first and 3^2 = 9.

We can rewrite the expression as:

6^2 - 7(8 + 6 - 9)

Next we can add from left to right. 8 + 6 is 14, and 14 minus 9 is 5. We can rewrite as:

6^2 - 7(5)

The next step in to evaluate the power, 6^2, which is 36. Now, it can be written as:

36 - 7(5)

7 times 5 is 35, which we can replace:

36 - 35 = 1

So we get 1 as an answer.

Answer:

150

Step-by-step explanation:

The restaurant should expect to serve 180 customers in week 10.

The number of customers served in the restaurant follows a repeating pattern of 180, 170, 200, 180, 210, 180, 210, 170, 200, 180. Therefore, the number of customers served in week 10 will be 180.

The number of customers served in the restaurant follows a repeating pattern of 180, 170, 200, 180, 210, 180, 210, 170, 200, 180. This means that after 10 weeks, the number of customers served will be the same as it was in week 1. Since week 1 had 180 customers served, week 10 will also have 180 customers served.

As you can see, the number of customers served in week 10 is the same as the number of customers served in week 1. Therefore, the restaurant should expect to serve 180 customers in week 10.

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Answer:

,,,

Step-by-step explanation:

Answer:

Scientifically proven that there is a 60% chance you will get an odd number and a 40% chance you will get an even number.

I hope this helps!!

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

(A) Sine as 40∘: θ = __140_degrees

Cosine as 40∘: θ = _50_degrees

(B) Sine function value as 250∘. θ = _70_degrees

Cosine function value as 250∘. θ = _160_degrees

(C) Sine as π/6: θ = _5π/6_radians

Cosine as π/6: θ = _7π/6_radians

A. An angle θ with 90∘<θ<360∘ that has the same sine as 40∘ is 140∘. Similarly, an angle θ with 90∘<θ<360∘ that has the same cosine as 40∘ is 50∘.

B. An angle θ with 0∘<θ<360∘ that has the same sine function value as 250∘ is 70∘. Similarly, an angle θ with 0∘<θ<360∘ that has the same cosine function value as 250∘ is 160∘.

C. An angle θ with π/2<θ<2π that has the same sine as π/6 is 5π/6 radians. Similarly, an angle θ with π/2<θ<2π that has the same cosine as π/6 is 7π/6 radians.

To find angles with the same sine or cosine function value as a given angle, we can use the unit circle. The sine function is equal to the y-coordinate of a point on the unit circle, while the cosine function is equal to the x-coordinate of a point on the unit circle. Therefore, we can find angles with the same sine or cosine function value by finding points on the unit circle with the same y-coordinate or x-coordinate as the given angle, respectively.

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Answer:

46 feet high!

Step-by-step explanation:

Answer:

A. \(\frac{81m^{4} }{n{4} }\)

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

The point estimate of the population proportion is 0.565.

The point estimate of the population proportion is the proportion of the sample that supports strengthening state laws regarding child safety restraints in vehicles.

Point estimate = (number of individuals in sample who support the strengthening of laws) / (total number of individuals in the sample)

Point estimate = 1247 / 2208

Point estimate ≈ 0.564 or 56.4% (rounded to one decimal place)

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Answer: 0.357

Step-by-step explanation:

Here is the remainder of the question:

What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?

We are going to solve this by using direct proportion,

y = kx

where,

x = number of cups of sugar = 14

y = number of cups of strawberries = 5

k = constant of proportionality

We slot the values into y = kx

y = kx

5 = 14k

k = 5/14

k = 0.357

The constant of proportionality is 0.357

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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Answer:

a. -32 + 17 = -15

b.86 + (-27) = 59

c. -12 + (-37) = -49

d. -1/6 + 5/6 = 2/3

Answer:

Step-by-step explanation:

f(x)=a(x+2)(x+7)=a(x²+2x+7x+14)

or f(x)=a(x²+9x+14)

it has zeros as -2 and -7.

The question is an illustration of inequalities and equation.

The system of inequalities are: \(\mathbf{3x + 4y \ge 24}\) and \(\mathbf{13x + 4y = 64}\)

Represent the number of hours for lines 1 and 2 with x and y.

So, we have:

Minibus

Line 1 = 3

Line 2 = 4

Total: At least 24

Media-blue

Line 1 = 13

Line 2 = 4

Total = 64

At least means greater than or equal to.

So, the system of inequalities are:

\(\mathbf{3x + 4y \ge 24}\)

\(\mathbf{13x + 4y = 64}\)

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Answer:

B, y = 2x -3

Step-by-step explanation:

Do rise over run to find the slope, and you will get 2

The y intercept is at (0, -3) so plug in -3 in the equation

The equation is y = 2x -3

Answer:

B

Step-by-step explanation:

The probability that exactly 6 balls are white and 2 are red is approximately 0.0305.

To find the probability that exactly 6 are white and 2 are red, we need to use the formula for combinations, which is:

C(n,k) = n! / (k! * (n-k)!)

Where n is the total number of items, and k is the number of items we are choosing.

First, we need to find the number of ways to choose 6 white balls from 7, which is:

C(7,6) = 7! / (6! * (7-6)!) = 7

Next, we need to find the number of ways to choose 2 red balls from 8, which is:

C(8,2) = 8! / (2! * (8-2)!) = 28

Finally, we need to multiply these two numbers together and divide by the total number of ways to choose 8 balls from 15, which is:

C(15,8) = 15! / (8! * (15-8)!) = 6435

So the probability is:

P(6 white, 2 red) = (7 * 28) / 6435 = 196 / 6435 ≈ 0.0305

Therefore, approximately 0.0305 is the probability that exactly 6 balls are white and 2 are red.

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Answer:

two

Step-by-step explanation:

two endpoints

pls vote brainliest