ex 2. the student senate at a university with 17,000 students is interested in the proportion of students who favor a change in the grading system to allow for plus and minus grades (e.g., b , b, b-, rather than just b). two hundred students are interviewed to determine their attitude toward this proposed change.
(a) What is the population of interest?
O the entire student body (the 17,000 students)
O the 200 students Interviewed
O the 2,000 students interviewed
O all students who favor a change in the grading system
O the student senate
(b) What group of students constitutes the sample in this problem?
O the entire student body (the 14,000 students)
O the 200 students interviewed
O the 2,000 students interviewed
O all students who favor a change in the grading system
O the student senate
C.select one of the following

Answer:

A

Step-by-step explanation:

Range = Highest value - Lowest value

At Park Zoo:

R = 44 - 38

= 6

At Countryside Zoo;

R = 45 - 38

= 7

So, it cannot be D, because the ranges are not the same and it cannot be B because the range is greater at countryside zoo

The mode is the value that appears the moat frequently.

At Park zoo, the mode is 41 since it has the most dots.

At Countryside zoo, the mode is 40, since it has the most dots

So, it cannot be C because Park zoo has a greater Mode.

so, the only answer is A

Let's start solving this problem by getting first the price of getting 5 items. We have

We then get the amount to be discounted by multiplying the total cost of 5 items with the discount percentage. We have

We then subtract this amount to the total cost of buying the 5 items to get the final answer. We have

Answer: $46.76

a. The value of c is 30.

b. X and Y are independent.

c. P{X + Y > 3} = 1 - P{X + Y ≤ 3} = 1 - (3/5).

To determine the value of c, we need to integrate the joint density function over its entire support to obtain a total probability of 1. Integrating f(x) over the given ranges, we have:

∫[1,5] ∫[0,1] (x/5) c dy dx = c * ∫[1,5] [(x/5)*1] dx = c * ∫[1,5] (x/5) dx = c * [(\(x^2\))/10]∣[1,5] = c * (25/10 - 1/10) = c * 2/5.

Since the total probability must equal 1, we have c * 2/5 = 1, which implies c = 5/2 = 2.5 * 2 = 5.

X and Y are independent if and only if their joint density function can be expressed as the product of their marginal density functions.

In this case, the joint density function f(x, y) can be factored into the product of f(x) and f(y), indicating independence. Therefore, X and Y are independent.

To find P{X + Y > 3}, we need to calculate the probability of the event where the sum of X and Y exceeds 3.

This can be done by integrating the joint density function over the region where X + Y > 3.

We can visualize this as the area above the line X + Y = 3 in the X-Y plane. Integrating f(x, y) over this region, we have:

P{X + Y > 3} = 1 - P{X + Y ≤ 3}.

The region X + Y ≤ 3 corresponds to the triangle formed by the lines X = 1, Y = 1, and X + Y = 3. The area of this triangle is (1 * 2)/2 = 1.

Thus, P{X + Y > 3} = 1 - P{X + Y ≤ 3} = 1 - (area of the triangle) = 1 - 1/5 = 4/5.

Learn more about joint density function

brainly.com/question/31473322

#SPJ11

The percent of change is an increase in altitude of the weather balloon.

Change in altitude = New altitude - Original altitude

= 103 ft - 100 ft

= 3 ft

Percentage change = Change in altitude / Original altitude × 100

= 3 / 100 × 100

= 3%

Therefore, the percentage change in the altitude of the weather balloon is 3%.

Learn more about percentage increase:

https://brainly.com/question/11360390

#SPJ4

explanation:

Hmm ok first ''m'' and ''l'' are parallel to each other because the lines are staked on each other so they are parallel to each other.

The answer is 1

only answering it because I want a brainiest :)

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

Learn more about operator

https://brainly.com/question/29949119

#SPJ11

Answer:

3x at the power of 2 -2x+21

ask for explanation if needed

Answer:

8

Step-by-step explanation:

edge 2020

Answer:

yes it is 8

Step-by-step explanation:

To determine the probability that the coin landed heads given that a red ball was selected, we can use Bayes' theorem. The probability that the coin landed heads is approximately 0.55.

According to Bayes' theorem, we can calculate this probability using the formula:

P(H|R) = (P(H) * P(R|H)) / P(R

P(R|H) is the probability of selecting a red ball given that the coin landed heads. In this case, a red ball can be chosen from urn A, which has 14 red balls out of 25 total balls. Therefore, P(R|H) = 14/25.

P(R) is the probability of selecting a red ball, which can be calculated by considering both possibilities: selecting from urn A and selecting from urn B. The overall probability can be calculated as (P(R|H) * P(H)) + (P(R|T) * P(T)), where P(T) is the probability of the coin landing tails (0.5). In this case, P(R) = (14/25 * 0.5) + (5/11 * 0.5) ≈ 0.416.

Plugging the values into the formula:

P(H|R) = (0.5 * (14/25)) / 0.416 ≈ 0.55.

Therefore, the probability that the coin landed heads given that a red ball was selected is approximately 0.55.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Answer:

-3

Step-by-step explanation:

Answer:

50/100 x X = 1.5

x 100       x100

50x = 150

÷50   ÷50

X = 3

X = 3 liters I am pretty sure

To prove that z(x, y) satisfies the partial differential equation

(y - z)Zx + (z - x)Zy = x - y, we differentiate the given equation with respect to x and y, and substitute the derivatives into the equation.

To prove that the function z(x, y) satisfies the partial differential equation (y - z)Zx + (z - x)Zy = x - y, we can follow these steps:

Start with the given equation: f(x²+ y² + z²) = x + y + z.

Differentiate both sides of the equation with respect to x:

2x f'(x² + y²+ z²) = 1.

Differentiate both sides of the equation with respect to y:

2y f'(x² + y²+ z²) = 1.

Solve the resulting equations for f'(x² + y² + z²):

f'(x²+ y² + z²) = 1 / (2x)

= 1 / (2y).

Substitute x² + y² + z² with z(x, y) in the equation to get

f'(z) = 1 / (2x) = 1 / (2y).

Differentiate z(x, y) with respect to x and y to get Zx and Zy, respectively.

Substitute Zx and Zy into the partial differential equation:

(y - z)Zx + (z - x)Zy = x - y.

Simplify the equation using the values obtained in step 5.

By differentiating the given equation and substituting the derivatives into the partial differential equation, we have shown that the function z(x, y) satisfies the equation (y - z)Zx + (z - x)Zy = x - y.

To know more about partial differential, visit:

https://brainly.com/question/31772977

#SPJ11

Answer:

to show the changes in private school enrollment

Answer:

140

Step-by-step explanation:

Let the number = x

Hence, the expression can be written has:

0.4 of x = 56

0.4x = 56

Divide both sides by 0.4

0.4x / 0.4 = 56 / 0.4

x = 140

Hence, 56 is 0.4 of 140

Answer:

B

Step-by-step explanation:

We can see that both functions are decreasing in [0,4]

f decreased with 765 against 800 for g

g decreased faster

a. The table value of z 0.99 is given as 2.58.

b. we use σ = 2.30 minutes.

c. The value of Z is given as 0.609.

d. The confidence interval is (23.391, 24.609) minutes.

a) To find the z-score for a 0.99 confidence interval, we need to find the z-score that leaves 0.5% (since it's two-tailed, we split the 1% or 0.01 of the data that's not within the confidence interval into two) in each tail. The z-score for 0.995 (0.5% in the upper tail) is approximately 2.58 in standard normal distribution tables. So, Z_0.99 is 2.58.

b) Therefore, we use σ = 2.30 minutes.

c) The standard error of the mean (SE) is given by σ/√n, where n is the sample size.

Here, σ = 2.30 minutes and n = 95.

Therefore, SE = σ/√n

= 2.30/√95

= 0.236 minutes.

Multiply this by the z-score to find Z * σ/√n.

Therefore, Z * σ/√n = 2.58 * 0.236 ≈ 0.609.

d) The 0.99 confidence interval for μ

Here, x is the sample mean which is 24 minutes.

So the confidence interval is approximately

= (24 - 0.609, 24 + 0.609)  

= (23.391, 24.609) minutes.

This is the range of values we are 99% confident that the true population mean (μ) falls in.

Read more on Z critical here:https://brainly.com/question/14040224

#SPJ4

Answer:

14.9 km/hr

Step-by-step explanation:

We know

Speed = Distance/ Time

v = 82km / 5.5 hr

v = 14.90 km/hr

Step-by-step explanation:

Distance = 82 km

Time = 5.5 hours

Speed = Distance / Time

= 82 / 5.5

= 14.91 km/hour

Answer:

D is the correct ans

Step-by-step explanation:

Because

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

We need to apply Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction for two different media.

Step 1: Calculate the angle of refraction in the first material using Snell's Law.
n1 * sin(i1) = n2 * sin(r1)
1 * sin(60°) = 1.20 * sin(r1)
sin(r1) = 0.5/1.20
r1 ≈ 25.4°

Step 2: Repeat the process for the remaining materials, using the previous angle of refraction as the new angle of incidence. Calculate the final angle of refraction in the last material.

For the second material:
1.20 * sin(25.4°) = 1.40 * sin(r2)
r2 ≈ 21.4°

For the third material:
1.40 * sin(21.4°) = 1.32 * sin(r3)
r3 ≈ 22.9°

For the fourth material:
1.32 * sin(22.9°) = 1.28 * sin(r4)
r4 ≈ 23.3°

Step 3: Calculate the angle of emergence in air.
1.28 * sin(23.3°) = 1 * sin(e)
e ≈ 29.4°

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

Visit here to learn more about beam of light:

brainly.com/question/9054772

#SPJ11

1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

To know more about random samples, click here: brainly.com/question/29357010

#SPJ11

Answer:

See below.

Step-by-step explanation:

Twice means multiplied by 2.

Product is the solution to a multiplication equation.

2p/5q

-hope it helps

Answer:

10

Step-by-step explanation:

Given that:

Point X = (3, 2)

Point Y = (3, - 8)

Distance of point X to Y:

Distance = √(x2 - x1)^2 + (y2 - y1)^2

X1 = 3 ; y1 = 2 ; x2 = 3 ; y2 = - 8

Distance = √(3 - 3)^2 + (-8 - 2)

Distance = √(0)^2 + (-10)^2

Distance = √0 + 100

Distance = √100

Distance = 10

Answer:

10

Step-by-Step Explanation:

Answer: 3 ovals and 3 rectangles and an even amount of rectangles and ovals

3x + 2y ≥ 120

you are asking me to confirm whether the below statement is true

10 * 3 + 45 *2 ≥ 120 ?

30 + 90 = 120

120 ≥ 120

its not greater but its equal which means it is a possible solution

The car salesperson made $62,000 in sales for the month

Let us say the amount of sales the car salesperson made in a month is x. Then, the total income can be represented as:

$1,400 + 0.05x = $4,500

The equation represents the total income of the car salesperson as the base salary of $1,400 per month plus a commission of 5% on sales. To find the amount of sales made, we have to solve x.

Subtracting $1,400 from both sides:

0.05x = $4,500 - $1,400 = $3,100

Dividing both sides by 0.05:

x = $3,100 / 0.05 = $62,000

So the car salesperson made $62,000 in sales for the month.

To learn more about solving equations:

https://brainly.com/question/2972832

#SPJ4

Answer:

4, 1, 2, 3

Step-by-step explanation:

let x = cost of 1 bar

cost of 75 bars = $65

cost of one bar => 75/75 = $65/75

x = $0.87

Answer:

4.  c = $0.97 rounded to the nearest hundredth

1.  Let c = cost of one bar

\(\textsf{2.} \quad 75c=\$65\)

\(\textsf{3.} \quad \dfrac{75}{75}c=\dfrac{\$65}{75}\)

Step-by-step explanation:

Step 1

Define the variable:

Step 2

Given that one box of 75 Toblerone chocolate bars costs $65:

Step 3

To find the cost of one Toblerone chocolate bar, divide both sides of the equation by 75:

Step 4

Simplify both sides of the equation and round the solution to the nearest hundredth:

Answer:

Hello,

Step-by-step explanation:

1/4 of an circle - the triangle

\(Area=\dfrac{\pi*26^2}{4} -\dfrac{26^2}{2} \\\\=169*(\pi-2)\approx{192,93}\)

Answer:

\( - 60\)

Step-by-step explanation:

\(( - 1)(5)( - 6)( - 2) \\ ( - 5)( + 12) \\ = - 60\)

Answer:

-60

Step-by-step explanation:

Answer:

\(a=60\\b=44\\c=76\)

Step-by-step explanation:

You can write these equations to represent the problem:

\(a+b+c=180\\b+c=2a\\b=c-32\)

Now, just solve it as a system of equations. I'll solve by substitution, starting from the bottom as b is already defined there.

\(b=c-32\\b+c=2a\\(c-32)+c=2a\\c+c-32=2a\\2c-32=2a\\a=c-16\)

That's the middle equation done, now I'll do the top one:

\(b=c-32\\a+b+c=180\\a+(c-32)+c=180\\a+2c-32=180\\a+2c=212\\a=-2c+212\)

Now we have just 2 equations with 2 variables. That's another system of equations, but this one is much easier to solve. Using substitution again:

\(a=c-16\\a=-2c+212\\c-16=-2c+212\\3c-16=212\\3c=228\\c=76\)

Finally, we have one variable solved. Using the value of C, now we can solve for A:

\(c=76\\a=c-16\\a=76-16\\a=60\)

Thats 2 done. Now, pick any equation that has all 3 variables and solve for B:

\(a=60\\c=76\\a+b+c=180\\60+b+76=180\\b+136=180\\b=44\)

All 3 variables done.

\(a=60\\b=44\\c=76\)

Now, we can confirm that they're correct by checking with the original equations:

\(a+b+c=180\\60+44+76=180\\180=180\\\\b+c=2a\\44+76=2(60)\\120=120\\\\b=c-32\\44=76-32\\44=44\)

They all work fine.