A cleaning company charges $140 for each office it cleans. The fixed monthly cost of $450 for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is $50 per office and includes labor, gasoline, and cleaning supplies. (a) Write a linear cost function representing the cost Cx (in $) to clean x offices per month. (b) Write a linear revenue function representing the revenue Rx (in $) for cleaning x offices per month. (c) Determine the number of offices to be cleaned per month for the company to break even. (d) If 25 offices are cleaned, will the company make money or lose money

For the mode to be 6, there has to be at least two 6s.

For the median to be 6, with two 6s, there must be at least one number above 6.

For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.

Answer:

because he just wants his socks to wear

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

t = d/r

t = 280/70

t = 4 hours

The total cost of the principal and interest after 30 years is $788,489.94 (approx). The correct option is D. $788,489.94.

Here, Principal = $315,000

Interest rate = 7.35%

Term of mortgage = 30 years

Total cost of the principal and interest can be found using the formula; T = (P x (r/n) x (1 + r/n)(n x t))/(1 + r/n)(n x t) - 1

Where, T = Total cost of the principal and interest

P = Principal

r = Rate of interest per annum

n = Number of payments per year

T = Term of the mortgage

In this question, P = $315,000

r = 7.35%/yr = 0.0735/y

rn = 12/yr (12 monthly payments in a year)

t = 30 years

Substituting all the values in the formula, T = ($315,000 x (0.0735/12) x (1 + 0.0735/12)(12 x 30))/(1 + 0.0735/12)(12 x 30) - 1≈ $788,489.94

Hence, D is the correct option.

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Answer:

Step-by-step explanation:

12”

9514 1404 393

Answer:

  2x -3y = 15

Step-by-step explanation:

Add 5-y to put the variables on the same side of the equal sign. Then multiply by 3 to clear the fraction.

  5 = 2/3x -y

  15 = 2x -3y

  2x -3y = 15 . . . . standard form

Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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There is zero or no degree of freedom in  the mean of the differences in a paired t-test.

For the paired t-test, we need two variables. One variable defines the pairs for the observations. The second variable is a measurement. Sometimes, we already have the paired differences for the measurement variable. Other times, we have separate variables for “before” and “after” measurements  for each pair and need to calculate the differences.

We also have an idea, or hypothesis, that the differences between pairs is zero. It is also known as the dependent samples t-test, the paired-difference t-test, the matched pairs t-test and the repeated-samples t-test.

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Answer:

x = 24

Step-by-step explanation:

We know that lines s and t are parallel. Then by definition, the two labelled angles, which are same-side angles, are congruent and equal in measure.

Then, we set the expressions equal to each other:

7x - 48 = 5x

Subtract 5x from both sides:

7x - 5x - 48 = 0

2x - 48 = 0

Add 48 to both sides:

2x = 48

Divide by 2:

x = 48/2 = 24

Thus, x = 24.

~ an aesthetics lover

Answer:

LNM are quations the answer

Step-by-step explanation:

L=5x3 5,8 M=9x8x3+40-9 N=23-90)+90

Answer:

A is the answer (-3/2, 9/2)

Answer:

$18,000.

Step-by-step explanation:

When their weekly pay is the same:

185 + 0.03x =  275 + 0.025x

0.03x - 0.025x =  275 - 185

0.005x = 90

x =90/0.005

x = 18,000

Answer:

Center ~ ( -4, 3 ), Radius ~ 2; Option A

Step-by-step explanation:

~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2  provided r ⇒ radius of the circle, centered at ( a, b ) ~

1. If we are given the circle formula ( x + 4 )^2 + ( y - 3 )^2 = 4, it would be that the center points ( a, b ) would be the inverse of 4 and -3, provided the formula is -a and -b: center ( -4, 3 )

2. Now the radius in the formula ( x - a )^2 + ( y - b )^2 = r^2, is noted by r such that in ( x + 4 )^2 + ( y - 3 )^2 = 4, r^2 is 4 ⇒ r = √4 = 2

3. We now know that the center of this circle is ( -4, 3 ) with a radius of 2, and the only graph that represents that function is the first graph ~

Answer: Center ~ ( -4, 3 ), Radius ~ 2

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

x = 5/4

y = 15/16

Step-by-step explanation:

Let's solve your system by substitution.

y = 3/4x; 5/2x + 2y = 5

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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The image required is attached below

Generally, In the field of geometry, two lines are said to be parallel if they are coplanar and if they do not cross at any point. Planes that are contained inside the same three-dimensional space but never collide are said to be parallel. Curves are said to be parallel if they do not touch or intersect with one another and maintain a constant minimum distance between themselves.

Lines on a plane that are always the same distance apart and do not ever intersect are said to be parallel to one another. In other words, they are two or more lines that are in the same plane (coplanar) but do not cross each other since they do not overlap.

If two lines are parallel, any line that is perpendicular to both of them — also known as a transversal — will cross both lines at the same angle if it is drawn between them. This is an important characteristic in geometry that may be used to verify that two lines are parallel to one another.

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Answer:

To find ? we use sine

sin ∅ = opposite / hypotenuse

From the question

The hypotenuse is 50

The opposite is 25

So we have

sin ? = 25 / 50

sin ? = 1/2

? = sin-¹ 1/2

To find ? we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 8

the adjacent is 33

So we have

tan ? = 8/33

? = tan-¹ 8/33

? = 13.62

Hope this helps you

The estimated probability that at least one of the next four fish Roxanne catches will be a perch is 34%

Probability is the likeliness of an event to happen. It has a range of 0 to 1, where 0 indicates uncertainty and 1 indicates certainty.

It is given that

0, 1, and 2 represent trout , 3 and 4 represent bass , 5 represent perch , 6, 7, 8, and 9 represent other fish

From the data it can be observed that

Total number of single digits numbers = 80

No. of Perch , "5 " = 8

Probability of getting a perch in next fish = 8/80 = 0.1

Probability that at least one of the next four fish Roxanne catches will be a perch = 1- P(no perch)

P ( no perch) = 1 - 0.1 = 0.9

for 4 fishes

= 1 - 0.9⁴

= 0.3439

= 34.39%

≈ 34%

Therefore the estimated probability that at least one of the next four fish

Roxanne catches will be a perch is 34%.

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The probability that a random sample of 4 of the articles will contain a defective article is approximately 0.2916, or about 29.16%.

To find the probability that a random sample of 4 articles will contain a certain number of defective articles, we can use the binomial probability formula:

P(X = k) = (nCk) * (p^k) * (1-p)^(n-k)

where:
- n is the total number of articles in the sample (4 in this case)
- k is the number of defective articles we want to find the probability for
- p is the probability of an article being defective (1/10)
- 1-p is the probability of an article not being defective (9/10)
- nCk represents the number of combinations of n items taken k at a time

It appears that you haven't mentioned the specific number of defective articles you want in the sample of 4. However, you can use the formula above and plug in the values for k (0, 1, 2, 3, or 4) to find the probability for any desired number of defective articles in the sample.

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a. We do not have convincing evidence at the 0.05 level to conclude that the fertilizer has a positive effect on the weight of the corn ears.

b. The p-value (0.095) is still greater than the level of significance (0.05), we would still fail to reject the null hypothesis and conclude that we do not have convincing evidence to support the claim that the fertilizer has a positive effect on the weight of the corn ears.

(a) Hypothesis testing:

State the hypotheses:

Null hypothesis: The fertilizer has no effect on the weight of the corn ears.

Alternative hypothesis: The fertilizer has a positive effect on the weight of the corn ears.

Set the level of significance:

α = 0.05

Compute the test statistic and p-value:

We can use a one-sample t-test to test the hypothesis.

The test statistic is:

t = (\(\bar{x}\) - μ) / (s / sqrt(n))

where \(\bar{x}\)  is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

In this case, \(\bar{x}\)  = 8.33 ounces, μ = 8 ounces, s = 1.8 ounces, and n = 38. Substituting these values, we get:

t = (8.33 - 8) / (1.8 / sqrt(38)) = 1.66

Using a t-distribution table with 37 degrees of freedom (df = n - 1), we find that the p-value for a one-tailed test with t = 1.66 is 0.054.

Make a decision:

Since the p-value (0.054) is greater than the level of significance (0.05), we fail to reject the null hypothesis.

Therefore, we do not have convincing evidence at the 0.05 level to conclude that the fertilizer has a positive effect on the weight of the corn ears.

However, it is worth noting that the p-value is very close to the significance level, so it is possible that a larger sample size might have produced a statistically significant result.

(b) If the sample mean had been 8.24 ounces instead of 8.33 ounces, the test statistic would have been:

\(t = (8.24 - 8) / (1.8 / \sqrt{(38)} ) = 1.33\)

Using the t-distribution table with 37 degrees of freedom, the p-value for a one-tailed test with t = 1.33 is 0.095.

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432 π m²

Answer:

Solution given:

radius of dome[r]=12m

now

Are of dome(semi sphere)=3*πr²=3*π*12²=432πm²

The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

⇒ Radius of sphere = 12 meters

Now, We know that;

⇒ The surface area of a half sphere = 3πr²

Here, r = 12 m

Hence, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 3πr²

⇒ 3 × 3.14 × 12²

⇒ 1356.48 meters²

Thus, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

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The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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Answer:

B. 2 Over 5

Step-by-step explanation:

The answer would be B   because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.

SOLUTION:

The parent function is;

The transformation applied is;

Graphing this, we have;

The period is the time to complete a cycle .

From the graph, the period is;

The asymptotes are those lines for which sec x is undefined. those are lines where;

Answer: Im gonna take you down like a sweet muffin.

The number of escapes, takedowns and nearfalls Anahi have is 6, 24 and 70 respectively.

escape is worth 1 point,

a takedown is worth 2 points, and

a nearfall is worth 3 points.

escape = x

takedown = y

nearfall = z

x + y + z = 100. (1)

x + 2y + 3z = 240. (2)

y = 4x. (3)

substitute (3) into both equation

x + 4x + z = 100

x + 8x + 3z = 240

5x + z = 100. (4)

9x + 3z = 240. (5)

Multiply (4) by 3

15x + 3z = 300 (6)

9x + 3z = 240. (5)

Subtract (5) from (6) to eliminate z

6x = 60

x = 60/6

x = 6

Substitute into (3)

y = 4x

y = 4(6)

y = 24

Therefore, from (1)

x + y + z = 100.

6 + 24 + z = 100

30 + z = 100

z = 100 - 30

z = 70

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The length of the string is 68.5 inches

Here, we want to find the length of the string

From the diagram, we can see that what we have is a right angled triangle

Mathematically, we can apply the Pythagoras' theorem to get the length of the string, which represents the hypotenuse

Thus, we have it that the square of the hypotenuse equal the sum of the squares of the two other sides

Let us represent the length of the string by s

Thus, we have it that;