The rent charged for the different sized office spaces in an office building is as follow:

600 sqft= $1250
900 sq ft=$1850

Rent includes not only cost per square foot (same size) but also includes a processing fee.
How much are the two costs?

When single flower is selected at random, the probability of getting yellow or daisy is 73/108.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Total number of red roses = 8,

Number of white daisies = 10,

Number of yellow carnations = 6,

And number of yellow daisies = 12.

Total number of flowers = 36.

Number of yellow flowers,

Probability of getting yellow flower P(yellow) = 6/36 = 1/6

Total number of daisy flowers = 10 + 12 = 22

Probability of getting flower daisy P(daisy)  = (10 + 12)/36 = 22 / 36

The probability of getting flower yellow and daisy

P(yellow and daisy) = 1/6 x 22/ 36 = 11/ 108

P(yellow or daisy) = P()yellow) + P(daisy)- P(yellow and daisy)

                              = 1 /6 + 22 / 36  - 11 / 108

                              = (6 + 22)/36 - 11/108

                              = 28 / 36 - 11 / 108

                              = (84 - 11) / 108

                              = 73 / 108

The required probability of getting selected flower yellow or daisy is 73 / 108.

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We first graph the three points given.

The centre of the circle seems to be located at the point (3,-2) and therefore, the radius is 2.

Then the equation of the circle is

The graph of this equation exactly goes through these three points as shown in the figure below.

Equivalent to the original implication, "if you win the lottery, then you will be rich," are statements (d), (h), (j), and (1). Equivalent to the converse of the implication are statements (b), (e), (i), and (k).

The original implication states that winning the lottery leads to being rich. The equivalent statements are those that express the same relationship, while the converse of the implication reverses the order of the events.

Equivalent to the original implication:

(d) You will be rich if you win the lottery.

(h) You will be rich only if you win the lottery.

(j) If you are rich, you must have won the lottery.

(1) You will win the lottery if and only if you are rich.

Equivalent to the converse of the implication:

(b) Either you don't win the lottery or else you are rich.

(e) You will win the lottery if you are rich.

(i) Unless you win the lottery, you won't be rich.

(k) If you are not rich, then you did not win the lottery.

Not equivalent to either the implication or its converse:

(a) Either you win the lottery or else you are not rich.

(c) You will win the lottery and be rich.

(f) It is necessary for you to win the lottery to be rich.

(g) It is sufficient to win the lottery to be rich.

These statements do not capture the exact relationship between winning the lottery and being rich or its converse.

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To test the hypothesis of mean differences in artificially sweetened drink consumption among BMI groups, assuming a normal distribution, the researcher might use a one-way ANOVA.

The one-way ANOVA compares the means of three or more independent groups and determines if there are statistically significant differences among them. In this case, the BMI groups (normal weight, overweight, and obese) represent the independent groups, and the number of artificially sweetened drinks consumed is the dependent variable. By conducting a one-way ANOVA, the researcher can assess if there are significant differences in mean consumption among the BMI groups and draw conclusions regarding their hypothesis.

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Answer: .47

Step-by-step explanation:

The average value of the temperature function t(x,y,z)=100−20z on the cone \(z^2 = x^2 + y^2\) for 0≤z≤4 is 320\(\pi\)

To find the average value of the temperature function t(x,y,z) over the given cone, we need to evaluate the integral of t(x,y,z) over the cone and divide by the volume of the cone.

First, we need to find the bounds of integration. Since the cone is defined by \(z^2 = x^2 + y^2\), we can use cylindrical coordinates to integrate over the cone. In cylindrical coordinates, the cone is described by 0 ≤ r ≤ 4sinθ and 0 ≤ θ ≤ 2π, with 0 ≤ z ≤ 4.

Now, we can set up the integral to find the average value:

\(\text{Average&space;Value}&space;=&space;\frac{1}{\text{Volume}}\iiint\limits_D&space;t(x,y,z)&space;dV" title="\text{Average Value} = \frac{1}{\text{Volume}}\iiint\limits_D t(x,y,z) dV\)

where D is the region of integration, which in this case is the cone defined by 0 ≤ r ≤ 4sinθ, 0 ≤ θ ≤ 2π, and 0 ≤ z ≤ 4.

The volume of the cone can be found using the formula V = (1/3)πr^2h, where r = 4sinθ and h = 4. Thus,

\(\text{Volume}&space;=&space;\int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta}&space;rdrd\theta&space;dz&space;=&space;\frac{32\pi}{3}" title="\text{Volume} = \int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta} rdrd\theta dz = \frac{32\pi}{3}\)

Now, we can evaluate the integral of t(x,y,z) over the cone:

\(\text{Integral}&space;=&space;\int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta}&space;(100-20z)rdrd\theta&space;dz" title="\text{Integral} = \int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta} (100-20z)rdrd\theta dz\)

Using the substitution u = 4sinθ and du = 4cosθ dθ, we can simplify the limits of integration for θ and the integrand:

\(\text{Integral}&space;=&space;\int_0^{4}\int_0^{u}\int_0^{\frac{\pi}{2}}&space;(100-20z)rdrd\theta&space;dz&space;=&space;2\pi\int_0^{4}\int_0^{u}(100u-20u^2)rdrdz&space;=&space;320\pi" title="\text{Integral} = \int_0^{4}\int_0^{u}\int_0^{\frac{\pi}{2}} (100-20z)rdrd\theta dz = 2\pi\int_0^{4}\int_0^{u}(100u-20u^2)rdrdz = 320\pi\)

Therefore, the average value of the integral ia 320π

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Answer:

Below

Step-by-step explanation:

The two lengths are equal so

2x-7 = 5x-52

45 = 3x

x = 15           then AB = 2x -7 = 2(15)- 7 = 23 units

Answer:

5/2

Step-by-step explanation:

alternative = 2 1/2 , 2.5

Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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The time taken to travel the distance 70 Km/h is 11 hours.

Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took.

The formula can be rearranged in three ways:

Given:

time = 9 hours

speed = 85 Km/h

Now, distance

=speed * time

=85 * 9

= 765 km

As, the speed is 70 km/h

time = distance/ speed

time = 765 / 70

time = 10.92

time= 11 hours

Hence, the time taken to travel the distance 70 Km/h is 11 hours.

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The translation of the question is:

A car takes 9 hours to travel a distance with a speed of 85km/h, how long will it take to travel the same distance at 70km/h?

The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Answer:

The slope of the line is -8/5. The graph should be shown below

Step-by-step explanation:

After solving the given angles we can conclude that ∠4 is (D) 140° respectively.

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry.

Two rays can form angles in the plane where they are positioned.

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

Acute, obtuse, right, straight, reflex and full rotation are examples of basic angles.

So, according to the given image, we know that:

∠ 1 + ∠ 2 = 180

Then,

(3x + 20) + x = 180

4x + 20 = 180

4x = 180 - 20

4x = 160

x = 160 / 4

x = 40

We got that:

∠ 1 = ∠ 4

∠ 2 = ∠ 3

Simply substitute for x and solve if ∠1 = ∠4:

3x + 20 = 3(40) + 20 = 120 + 20 = 140

Therefore, after solving the given angles we can conclude that ∠4 is (D) 140° respectively.

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Step-by-step explanation:

Elijah runs at constant speed

2.4 hours -----------> 13.8 miles

1 hour ---------------> 13.8/2.4

1 hour ---------------> 5.75 miles

Elijah run 5.75 miles in each hour at constant speed

The calculated chi-square value of 179.58 is greater than the critical value of 7.815, we reject the null hypothesis and conclude that the length of stay is dependent on retirement at a significance level of 0.05.

What is the frequency?

The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.

To construct a table of estimated expected values, we need to find the row totals, column totals, and the total sample size.

Then we can use the formula for expected frequency:

E = (row total * column total) / sample size

Number of Nights Pre-retirement Post-retirement Total Expected Frequency

4−7 242 175 417 (242317)/687 = 111.6 (175317)/687 = 80.4

8−13 77 61 138 (77317)/687 = 35.6 (61317)/687 = 26.4

14−21 33 50 83 (33317)/687 = 15.2 (50317)/687 = 23.2

22 or more 18 31 49 (18317)/687 = 8.3 (31317)/687 = 14.7

Total 370 317 687

Now we can perform the chi-square test of independence. The null hypothesis is that the length of stay is independent of retirement, and the alternative hypothesis is that the length of stay is dependent on retirement.

(a) The chi-square test statistic is:

χ² = Σ[(O-E)²/E]

= [(242-111.6)²/111.6] + [(175-80.4)²/80.4] + [(77-35.6)²/35.6] + [(61-26.4)²/26.4] + [(33-15.2)²/15.2] + [(50-23.2)²/23.2] + [(18-8.3)²/8.3] + [(31-14.7)²/14.7]

= 179.58

(b) The degrees of freedom are:

df = (number of rows - 1) * (number of columns - 1)

= (4-1) * (2-1)

= 3

Using a chi-square distribution table with 3 degrees of freedom and a significance level of 0.05, the critical value is 7.815.

Hence, the calculated chi-square value of 179.58 is greater than the critical value of 7.815, we reject the null hypothesis and conclude that the length of stay is dependent on retirement at a significance level of 0.05.

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The matching numbers are:

1) 0.0000225 = 2 x 10⁻⁵

2) 219,000 = 2 x 10⁵

3) 3,40,000 = 3 x 10⁶

4) 297,000 = 3 x 10⁵

5) 0.0000034 = 3 x 10⁻⁶

What are Exponents?

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

We have to match the following terms :

1) 0.0000225 = 2 x 10⁻⁵
we can write 0.0000225 as
2.25 / 100000
or, 2.25 / 10⁵
then, 2.25 x 10⁻⁵

2) 219,000 =  2 x 10⁵
as the numbers after 2 are 5
therefore we write 10⁵

3) 3,40,000 = 3 x 10⁶
as the numbers after 3 are 6
therefore we write 10⁶

4) 297,000 = 3 x 10⁵
we round off 297 as 300
as the numbers after 3 are 5
therefore we write 10⁵

5) 0.0000034 = 3 x 10⁻⁶
we can write 0.0000034 as
3.4/ 1000000
or, 3.4 / 10⁶
then, 3.4x 10⁻⁶

Hence, the matching numbers are:
1) 0.0000225 = 2 x 10⁻⁵
2) 219,000 = 2 x 10⁵
3) 3,40,000 = 3 x 10⁶
4) 297,000 = 3 x 10⁵
5) 0.0000034 = 3 x 10⁻⁶

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Answer:

A (3 Oranges For $1.02)

Step-by-step explanation:

3 Oranges for $1.02 is $0.34 for each Orange

4 Oranges For $1.52 is $0.38 for each Orange

6 Oranges for $2.46 is $0.41 for each Orange

5 Oranges for $1.75 is $0.35 for each Orange

Which Makes The First One The Cheapest Out Of All

Answer:

y>2/1+-4

Step-by-step explanation:

y> because it's shaded over and since it's not dashes it needs the underline

2/1 because it's goes to the left twice and up once

-4 because that's where it starts

Based on the height of the pyramid and the dimensions of the square base, the space that Maria has inside the pop-up net is 1,280 in³.

This can be found as the volume of a pyramid which is:

= (Length x Width x Height) / 3

Solving gives:

= (16 x 16 x 15) / 3

= 3,840 / 3

= 1,280 in³

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Answer:

\( \sin(c) \: = \frac{ \sqrt{3} }{2} \)

\( \tan(c) = \sqrt{3} \)

\( \sin(b) = \frac{1}{2} \)

The ratios that are correct for the triangle are as follows:

The simplest trigonometric ratios are as follows:

AB = √18² - 9²

AB = √324 - 81

AB= √243

AB = 9√3

Therefore, the trigonometric ratio that are correct for the triangle are as follows;

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Answer: It's a 50/50 chance of winning or losing.

Step-by-step explanation:

Given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.

Note that; a circumference is the perimeter of a circle or ellipse.

It is expressed as C = 2πr

Where r is the radius and π is the constant pi ( π = 3.14 )

Given that;

C = 2πr

C = 2 × 3.14 × 11cm

C = 69.08cm

Therefore, given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.

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Jason wants to know if student grade point average (GPA) is impacted by being involved in a romantic relationship. In Jason's study, GPA is the dependent variable.

The variable that is changed during a scientific experiment is known as an independent variable. In a laboratory experiment, an independent variable is one that can be changed or manipulated. It will stand in for the reason or cause behind an outcome.

The variable being evaluated or analyzed during a laboratory experiment is known as the dependent variable. It is obvious that the dependent variable relies on the independent variable. While a result, we can now see and note changes in the dependent variable as the experimenter modifies the independent variable.

A controlled variable is one that is maintained constant throughout a scientific experiment. As a result, we also understand the controlled variable to be a constant variable or occasionally just a "control."

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The complete question is:

Jason wants to know if student grade point average (GPA) is impacted by being involved in a romantic relationship. In Jason's study, GPA is the:

a. Independent Variable

b. Dependent Variable

c. Control Variable

d. None of the Above

Answer:

Step-by-step explanation:

To solve this problem, we need to find the Least Common Factor between 15 and 9.

15    9   | 3

5      3  |  3

5      1   |  5

1

So, the Least Common Factor would be 3x3x5 = 45. But, we need a multiple of this number which must be between 150 and 200. So,

45 x 4 = 180.

Therefore, the cable measures 180 meters.

answer

did you get the answer?

Step-by-step explanation:

Refer to the attachment

Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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Check the picture below.

Answer: let d=# of dimes

let n= # of nickels

n+d=11

5n+10d=80

5d+25

5 dimes and 6 nickels

The expected loss of a renter who has no insurance and no security system is $700. If the renter has a security system, the expected loss decreases to $200.

The loss from a theft is $10,000. The expected loss of a renter who has no insurance and no security system is given by 0.07 × $10,000 = $700.

If the renter has a security system, the probability of a theft decreases to 0.02, so the expected loss is 0.02 × $10,000 = $200.

Given that: Probability of theft if there is no security system = 0.07

Probability of theft if there is security system = 0.02

Additional cost of security system = $100Loss from theft = $10,000The renter's expected loss if she has no insurance and uses the security system is calculated below:

Probability of theft if there is a security system = 0.02Expected loss of a renter who has no insurance and no security system is 0.07 × $10,000 = $700

Summary: If the renter has no insurance, then their expected loss would be the probability of a theft occurring multiplied by the loss from a theft. If there is no security system, the probability of a theft is 0.07, while if there is a security system, the probability of a theft is 0.02. The loss from a theft is $10,000. The expected loss of a renter who has no insurance and no security system is $700. If the renter has a security system, the expected loss decreases to $200.

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