clarkson university surveyed alumni to learn more about what they think of clarkson. one part of the survey asked respondents to indicate whether their overall experience at clarkson fell short of expectations, met expectations, or surpassed expectations. the results showed that 3% of the respondents did not provide a response, 24% said that their experience fell short of expectations, and 64% of the respondents said that their experience met expectations. (a) if we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations? (b) if we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Answer:

a) -6/2

b) -9/2

Step-by-step explanation:

a) rearrange by making y the subject as y = mx+c

y = -6/2x-9/2

the gradient = -6/2

b) c is the y-intercept as it touch the y-axis, therefore -9/2 is where the line crosses the y-axis

The freezing point of the solution is determined as -0.80⁰C.

The freezing point of the solution is calculated as follows;

Molar mass of Zn(SO₄) is calculated as follows;

Zn(SO₄) = 65 + 32 + (16 x 4) = 161 g/mol

The number of moles of the compound is calculated as;

= 85.23 / 161

= 0.529 mol

The molarity of the compound is calculated as follows;

= 0.529 / 1.225 kg

= 0.432 mol/kg

The freezing point depression is calculated as;

ΔT = m x Kf

where;

ΔT = 0.432 x 1.86

ΔT = 0.80 ⁰C

The freezing point is calculated as;

θ = 0⁰C - 0.80⁰C

θ = -0.80⁰C

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Researchers are 95% certain that the mean monthly rental cost of $5.98 for all rent-controlled apartments in Staten Island falls within the confidence interval ($876.28, $899.72).

The researchers calculated a 95% confidence interval using the sample data. The formula for the confidence interval is:

Confidence Interval = Sample Mean ± (Z-Score × Standard Error)

In this case, the confidence interval is $888.00 ± $11.72.

The Z-score corresponds to the desired confidence level. For a 95% confidence level, the Z-score is approximately 1.96.

The standard error is calculated as the standard deviation of the population divided by the square root of the sample size. In this case, the standard error is $59.20 / √98 ≈ $5.98.

Substituting the values into the confidence interval formula, we have:

Confidence Interval = $888.00 ± (1.96 × $5.98)

Simplifying the equation, the confidence interval becomes ($876.28, $899.72).

The interpretation of the confidence interval is that we can be 95% confident that the true population mean falls within this interval.

Therefore, the conclusion is that the researchers are 95% certain that the interval ($876.28, $899.72) contains the mean monthly rental cost of all rent-controlled apartments in Staten Island in 2012.

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The question is -

Researchers conducted a study to determine the monthly rental cost of rent-controlled apartments in the five boroughs of New York City in 2012. The study randomly sampled 98 apartment records from Staten Island, obtained from a large collection of income- and expense-filing statements. The 95% confidence interval of rent-controlled apartment costs in Staten Island was $888.00 ± $11.72. The cost of all rent-controlled apartments in Staten Island has a standard deviation of $59.20.

State the conclusion of the -confidence interval for the mean.

Researchers are ________certain that the interval ($876.28, $899.72) contains the mean monthly rental cost of _____. (

all rent-controlled apartments in New York City.

all rent-controlled apartments in Staten Island.

the 98 apartments in the sample.

all apartments in Staten Island.)

monthly rental cost of

Derek's commission on this sales is $646.85.

Given the following data:

To find Derek's commission on this sales;

In this exercise, you're required to find the amount of money earned as commission by Derek when he sold a particular amount of a commodity or good.

Commission = \(\frac{3.4}{100}\) × \(19,025\)

Commission = \(0.034\) × \(19,025\)

Commission = $646.85

Therefore, Derek's commission on this sales is $646.85.

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Answer

x= 12

Step-by-step explanation:

alternate angles right?

9x + 23 = 11x - 1

24 = 2x

x = 12

so the angle is

(11 × 12) -1

132-1

131°

Answer:

C: Glenda has been over charged by $3.40 for her purchase

Step-by-step explanation:

The amount Glenda is to pay can be found by applying arithmetic

operations to the given parameters in the correct order.

Reasons:

The price of each picture frame = $12.95

Number of picture frame purchased = 4

Price of each mat = $5.89

Number of mats purchased = 4

Total purchase price = $12.95 × 4 + $5.89 × 4 = $75.36

Total purchase price + Tax = $75.36 × 0.065 + $75.36 ≈ $80.26

Express Shipping charges for amount of purchase between $50 to $100 is given from the table as; $8.20

Total bill = Total purchase + Tax + Shipping

Therefore;

Total bill = $80.26 + $8.20 = $88.46

Amount the credit card is billed = $91.86

Amount of over charge = $91.86 - $88.46 = $3.40

Therefore, Glenda has been over charged by $3.40 for her purchase

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Answer:

The equation of a line parallel to the line and passing through (1, -1) is:

Step-by-step explanation:

Given the line

y = -3

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

where m is the slope and b is the y-intercept

Thus, the slope of the equation y=-3 will be m = -3

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line will also be -3.

Thus, using the point-slope form to find the line equation is

\(y-y_1=m\left(x-x_1\right)\)

substituting the values m = -3 and the point (1, -1)

y-(-1) = -3(x-1)

y+1 = -3x+3

y=-3x+3-1

y=-3x+2

Thus, the equation of a line parallel to line and passing through (1, -1) is:

Answer:

√17

Step-by-step explanation:

it's got to be a little more than four which is √16

Answer:

See below.

Step-by-step explanation:

I think the answer that makes most sense here is √17. √15 is close, but the square root of 16 is 4, and the point on the number line is a tad bit past 4.

-hope it helps

After four hours, the height of the candles will be the same.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.

Let x be the number of hours and y be the height.

y = -0.70x + 8           ...1

y = -0.20x + 6             ...2

From equations 1 and 2, then we have

- 0.20x + 6 = - 0.70x + 8

(0.70 - 0.20)x = 8 - 6

0.50x = 2

x = 4 hours

After four hours, the height of the candles will be the same.

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Answer:

x=10

Step-by-step explanation:

16/24=(x-2)/12

or, 16/2=x-2

or, 8=x-2

or, x-2=8

or, x=10

Answered by GAUTHMATH

Answer:

I am 60% sure it is line and plane.

Step-by-step explanation:

If f is an increasing function and g is a decreasing function, then fog will be a decreasing function (option b).

The behavior of the composite function fog when f is an increasing function and g is a decreasing function. To answer this question, let's examine the properties of fog.

1. f is an increasing function: This means that if x1 < x2, then f(x1) < f(x2).
2. g is a decreasing function: This means that if y1 < y2, then g(y1) > g(y2).

Now, let's analyze the behavior of fog(x):

fog(x) = f(g(x))

Let's consider two points x1 and x2 such that x1 < x2.

Since g is a decreasing function, we have:
g(x1) > g(x2)

Now, as f is an increasing function, when we apply f to both sides, we get:
f(g(x1)) > f(g(x2))

This translates to:
fog(x1) > fog(x2)

Since x1 < x2, and fog(x1) > fog(x2), we can conclude that the composite function fog is a decreasing function.

So, the answer to your question is: If f is an increasing function and g is a decreasing function, then fog will be a decreasing function (option b).

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Answer:

they take 5 dollars and 40 cents off of it so it would be $48.60

Answer:

6 how do you not know this?

Step-by-step explanation:

8 = 1

16 = 2

24 = 3

32 = 4

40 = 5

48 = 6

maths. the more you know

"If we leave now," she said. "We'll be right on time."

"Do you have dear Mr. Henshaw? Alice, ask the clerk."

Blvd.

add ness to strange making it strangeness

I think that the broken tv is the subject

Answer:

1) "If we leave now" she said, "We'll be right on time.

2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.

3) blvd.

4) Er (Strang-er)

5) Television

Step-by-step explanation:

:D

By factorization of the algebraic expressions;

A. The length of each square side is equal to (3x - 2)

B. The rectangle length = (5x + 4y) and width = (5x - 4y)

Factorization of an algebraic expression involves expressing it as a product of simpler expressions, which are called factors. The idea of factorization is to simplify an expression and make it easier to work with.

We shall factorise the given expressions as follows:

Square:

A. 9x² - 12x + 4 = 9x² -6x - 6x + 4

9x² - 12x + 4 = 3x(3x - 2) - 2(3x - 2)

9x² - 12x + 4 = (3x - 2)(3x - 2)

Rectangle:

B. 25x² - 16y² = (5x)² - (4y)²

25x² - 16y² = (5x + 4y)(5x - 4y) {difference of two square}

Therefore, by factorization of the algebraic expressions, the length of each square side is equal to (3x - 2) and the rectangle length is (5x + 4y) while its width is (5x - 4y).

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(a) To find the price the company should charge for each unit to sell 6,500 units, we need to substitute q with 6.5 (since q is measured in thousands of units) in the demand function p = 26e^(-0.6q): p = 26e^(-0.6 * 6.5)

After calculating, we get: p ≈ $2.98

So, the company should charge approximately $2.98 per unit to sell 6,500 units.

(b) To find how many units will sell if the company prices the products at $6.50 each, we need to solve for q in the demand function p = 26e^(-0.6q) with p = $6.50: 6.50 = 26e^(-0.6q)

Now, we need to solve for q: q = ln(6.50/26) / -0.6 ≈ 1.884

Since q is measured in thousands of units, the company will sell approximately 1,884 units when the price is $6.50 each.

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Answer: 2.5

Step-by-step explanation: 40 divided by 4 = 10  1.4 x 10 = 2.5

Answer:

2.5

Step-by-step explanation:

1/4 is equal to 0.25, So if it's 0.25 for 4 servings, the ratio is 0.25:4. You can the divide 40 by 4 and get 10. You can now take that ten and multiply it by 0.25 to get 2.5 or 2 and 1/2

Answer:2

Step-by-step explanation:

The arithmetic sequences are given as follows:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

Hence, the arithmetic sequences are given as follows:

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

10 - 5 = 5, 20 - 10 = 10.

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Answer:

821.95

Step-by-step explanation:

The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

The estimated minimum and maximum people who don't watch television in the town would be :

According to the survey, 55% of the 2000 people surveyed said they don't watch TV during the week.  When applied to the population of the town, we are therefore looking at 55 % not watching tv during the week.

However, we are given a margin of error of 2. 9 % which means the minimum people who abstain from television in the week are:

= ( 55 % - 2. 9 % ) x 28, 408

= 14, 801 people

The maximum would be :

= ( 55 % + 2. 9 % ) x 28, 408

= 16, 448 people

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Answer:

Slope = 2

y-intercept = (0, -5) or just -5

Step-by-step explanation:

In the equation y = mx + b,

m represents the slope

and

b represents the y-intercept.

So in the equation y = 2x - 5, 2 represents the slope since it is in place of m, and -5 represents the y-intercept since it is in place of b.

When an object is reflected, the orientation changes.

Option D.

Answer:

I believe the answer is (-1,5)

Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.