15. A private swimming club
ges $2.50
After the first hour, swimmers have to pay an additional $1.50 for each h.
hour, or part of a half hour thereafter. Georgina and her friend swam int
pool for x hours.

It will take the final worker 21 days to complete the task

If a task can be completed by three men in ten days, the total work is:

3 men * 10 days = 30 man-days.

Let's suppose that each man has the same rate of production, allowing them to finish the work in equal amounts.

One worker left after three days, leaving just two men to do the job. They put in three more days of effort, so they finished the following amount of work in the first six days:

3 men multiplied by 3 days = 9 man-days.

One worker was left to do the job after another man departed after six days. The entire amount of work left is:

30 man-days - 9 man-days = 21 man-days

One man will need to put in 21 man-days of labour, which will need him to:

A man's day is equal to 21 man-days.

Therefore, it will take the final worker 21 days to complete the task

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Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

We have to check if the result of each proportion is the same as 9 miles per hour, which is the ratio given after simplifying

A. 27 miles in 4 hours is equal to 6.75 miles per hour, therefore is not correct

B. 54 miles in 6 hours is equal to 9 miles per hour, therefore is correct

C. 36 miles in 5 hours is equal to 7.2 miles per hour, therefore is not correct

D. 9 miles in 1 hour is equal to the given ratio, then this answer is correct.

The correct answers are B and D.

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

Answer:

1) 3

2) 5/4

3) 5/9

Step-by-step explanation:

1) Change the sign to multiplication and change 1/4 into it's reciprocal which is 4/1. Multiply 3/4 · 4/1 to get 12/4.

Simplifies to 3

2) Change the sign to multiplication and find the reciprocal of 1/2 which is 2/1. Multiply 5/8 · 2/1 to get 10/8

Simplifies to 5/4

3) First, change the sign to multiplication then find the reciprocal of 3/4 which is 4/3. Multiply 5/12 · 4/3 to get 20/36.

Simplifies to 5/9

Answer:

d. 40

Step-by-step explanation:

Immediately, c. 30 and e. 50 can be eliminated because 20 is not a factor of these numbers. Now, factoring the other numbers, 40 is the only number that matches the question criteria. Although 20 is a factor of 10, 20, and 40, only 40 is greater than 30; hence, 40 is the answer.  

Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

Answer:

1. 1/3

2. -2

3. 0

4. -2

5. 2/3

6. 0

Step-by-step explanation:

I'm going left to right for each graph just for clarification so you don't get confused.

I hope this helps and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

no. of right answers = 60

no. of wrong answers = 40

Answer: you will spend 56$

Step-by-step explanation: 20% less is 2$ difference so you buy a medium pizza for 8$ times 7 is 56$

Answer:

.75x+35

Step-by-step explanation:

you multiply how ever many times you would add .75 in this case you dont know so u would put and x there and 35 is your starting point

Answer:

Solve for p by simplifying both sides of the equation, then isolating the variable.

p = − 300

Step-by-step explanation:

have a nice day

I think p=300???

Sorry if thiz is wrong. i dont really know that much

Answer:

-4.5,  -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

Answer:

Length of each shelf is 0.45 meters

Step-by-step explanation:

Given

\(Total\ Length = 2.25\ meters\)

\(Shelves = 5\)

Required

Determine the length of each shelf

This is calculated by dividing the total length by number of shelves as thus:

\(Length = Total\ Length/Number\ of\ Shelf\)

\(Length = 2.25m /5\)

\(Length = 0.45m\)

Hence;

Length of each shelf is 0.45 meters

Answer:

0.45

Step-by-step explanation:

the rule is reflextive

here(x, y) is changing into (x , -y)

the process is called translation

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.

The standard errors are given by:

\(s_A = \frac{1.79}{\sqrt{18}} = 0.4219\)

\(s_B = \frac{1.95}{\sqrt{18}} = 0.4596\)

For the distribution of differences, the mean and the standard error are given by:

\(\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76\)

\(s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239\)

The interval is given by:

\(\overline{x} \pm ts\)

The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.

Then:

\(\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058\)

\(\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462\)

The 99% confidence interval for the difference is (0.058, 3.462).

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Answer: The price of per ounce of strawberries is $ 0.25.

Step-by-step explanation:

One pound = 16 Ounce

Since, Natalie bought a pound of strawberries for $4

It means that,

Price of 16 Ounces of strawberries = $ 4

Price of one ounce of strawberries= \(\frac{4}{16} = $0.25\)

the price of per ounce of strawberries is $0.25

The circumference of a circle whose area is 20π cm² in terms of pi is 8.94π centimeters.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

\(\text{A} = \pi \text{r}^2\)

The circumference of a circle is expressed mathematically as;

\(\text{C} = 2\pi \text{r}\)

Given that the area of the circle is 20π cm², we determine the radius of the circle.

\(\text{A} = \pi \text{r}^2\)

\(20\pi \ \text{cm}^2 = \pi \times \text{r}^2\)

\(\text{r}^2= \dfrac{ 20\pi \ \text{cm}^2}{\pi }\)

\(\text{r}^2 = 20 \ \text{cm}^2\)

\(\text{r} = \sqrt{20 \ \text{cm}^2}\)

\(\text{r} = 4.47 \ \text{cm}\)

Now, we determine the circumference of the circle.

\(\text{C} = 2\pi \text{r}\)

\(\text{C} = 2 \times \pi \times 4.47 \ \text{cm}\)

\(\text{C} = 8.94 \ \text{cm}\times\pi\)

\(\text{C} = 8.94\pi\)

Therefore, the circumference of the circle is 8.94π centimeters.

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Using the median concept, it is found that it suffered a 11.16% decrease.

It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.

In this problem, the ordered data-set, in thousands of £, is given by:

{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}

It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:

M = (42.5 + 45.1)/2 = £43800.

It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:

P = (49300 - 43800)/49300 x 100% = 11.16%.

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Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

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complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

Given diagram drawn on the graph is parallelogram.

For find out 4th coordinate of parallelogram.

We must know the basics of graph.

Graph can defined as pictorial representation using data or point in the organized manner.

Graph having x-coordinate and y-coordinate.

For find out the location of point.

We must know how to locate coordinates.

For find X-point , parallel distance from y-axis.

For  find Y-point , parallel distance from x-axis.

Observe the given diagram.

Find out the parallel distances of x-axis and y-axis.

4th coordinate of parallelograms is c(2,-5).

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Answer:

It is multiplied by a factor of 8

Step-by-step explanation:

Every month, the number of people who receive the email is multiplied by a factor of 8.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Venera sent a chain letter to her friends, asking them to forward the letter to more friends.

The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:

\(\rm P(t) = 2^{3t+7}\)

Every month, the number of people who receive the email is multiplied by a factor will be

For t = 2, we have

P(2) = 2³⁽²⁾⁺⁷

P(2) = 2¹³

For t = 3, we have

P(3) = 2³⁽³⁾⁺⁷

P(3) = 2¹⁶

Then the factor will be

⇒ P(3) / P(2)

⇒ 2¹⁶ / 2¹³

⇒ 2³

⇒ 8

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Answer: -48

Step-by-step explanation:

-4(12)

4x12= -48

The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

To answer this question, we need to perform a hypothesis test to determine whether the sample data supports the claim that the variance in the number of patients seen per day is equal to 10.

The null hypothesis is that the variance is equal to 10:

H0: \(\sigma^2 = 10\)

The alternative hypothesis is that the variance is not equal to 10:

Ha: \(\sigma^2 \neq 10\)

The level of significance is set at 0.10. To calculate the test statistic, we first need to find the sample variance. Using the formula for the sample variance, we get:

\(s^2 = (\sum(x_i - mean)^2)/(n-1) = (104.22)/8 = 13.03\)

The test statistic is calculated as follows:

\(t = (s^2 - 10)/(10/\sqrt{9}) = (13.03 - 10)/(1) = 3.03\)

We can now use Table 3 from Appendix B to determine whether the test statistic is significant at the 0.10 level of significance. Looking at the critical values for a two-tailed test with 8 degrees of freedom and a significance level of 0.10, we find that the critical value is ±2.306. Since our test statistic of 3.03 is greater than 2.306, we reject the null hypothesis.

The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

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The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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