HELP PLEASE 30 IF YOU HELP

Answer:

8(2x - 1)

Distributive property

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

The assumptions that need to be true in order to approximate the sampling distribution with a normal model are that the sample is a random sample, that the sample size is large (np≥10 and n(1−p)≥10), and that the population is at least 10 times the sample size.

With these assumptions, the sampling distribution of the sample proportion will be approximately normal with a mean of p and a standard deviation of sqrt((p(1-p))/n).For this particular case, the mean is 0.09 and the standard deviation is sqrt((0.09(1-0.09))/200) = 0.0326 (rounded to 4 decimal places).To find the probability that over 10% of these clients will not make timely payments, we need to find the probability that the proportion of non-payments is greater than 0.1 or 10%.

Using the normal approximation, we can standardize the proportion to a z-score:

z = (0.1 - 0.09) / 0.0326 = 3.07 (rounded to 2 decimal places)

We can then use a standard normal table or calculator to find the probability that Z is greater than 3.07, which is approximately 0.001. Therefore, the probability that over 10% of these clients will not make timely payments is approximately 0.001 or 0.1%.

To know more about population  visit:-

https://brainly.com/question/15889243

#SPJ11

Answer:

length = 46 yards

Step-by-step explanation:

width = \(7\frac{2}{3}\) yards

length = 6 times the width

\(7\frac{2}{3} *6 = 46\)

length = 46 yards

The margin of error is 0.033.

What does the term "margin of error" mean simply?

A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results.

                           Simply said, you can determine how unpredictable data and research results are by looking at the margin of error.

Sample size: 565

Number of success: 150

The sample proportion is calculated as follows.

   P = X/n

      = 150/565

       = 0.2654

 The sample proportion is 0.2654

The margin of error is calculated as follows.

  M.O.E. = \(Z_{\alpha /2} * \sqrt{\frac{P( 1 - P)}{n} }\)

               = \(1.780 * \sqrt{\frac{0.2654( 1 - 0.2654}{565} }\)

                 = 0.033

The margin of error is 0.033.

Learn more about margin of error

brainly.com/question/29101642

#SPJ4

Answer:

A and C similar

Step-by-step explanation:

A: 80/100 = 0.8

B: 100/120 = 0.833...

C: 72/90 = 0.8

Since the ratio of the lengths of the sides of rectangle A and C are equal, the only similar rectangles are A and C.

Answer: A and C similar

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

Click here to learn more about equations.

https://brainly.com/question/19297665

#SPJ1

Answer:

(a) The boxes with the weights 6.4 kg, 7.2 kg, and 6.3 kg are the three of the boxes which have a total weight nearest to 20 kg but still less than 20 kg.

(b) Total cost of sending all four boxes together = £10.15

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A postal carrier charges £8.95 up to 20 kg then 20p for each kg over that weight. Jane wants to send four boxes to the same address. The boxes weigh 6.4 kg, 7.2 kg, 6.3 kg, 6.1 kg.

(a) Which three of the boxes have a total weight nearest to 20 kg but still less than 20 kg?

(b) Work out the total cost of sending all four boxes together.

The explanation of the answer is now given as follows:

(a) Which three of the boxes have a total weight nearest to 20 kg but still less than 20 kg?

The boxes with the weights 6.4 kg, 7.2 kg, and 6.3 kg are the three of the boxes which have a total weight nearest to 20 kg but still less than 20 kg.

This is because, the addition of the weights of the three boxes is the highest and it is 19.90 kg as follows:

6.4 + 7.2 kg + 6.3 kg = 19.90 kg

(b) Work out the total cost of sending all four boxes together.

The total kg can be calculated as follows:

6.4 + 7.2 kg + 6.3 kg + 6.1 kg = 26 kg

Additional kg = 26 kg - 20 kg = 6kg

Cost of 20 kg =  £8.95

Cost of 6 kg = 6 kg * 20p = 120p = 120p / 100 = £1.20

Total cost of sending all four boxes together = Cost of 20 kg + Cost of 6 kg = £8.95 + £1.20 = £10.15

Answer:

no ..they can't as 6+3 is not greater than 11

Answer:

24 yards²

Step-by-step explanation:

8 yd x 3 yd=24 yd²

Answer:

24 square yards is your answer.

Step-by-step explanation:

L X B

8 yd X 3 yd

24 square yards

Answer:

5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

i just took the test on usatestprep

Answer:

1/2

Step-by-step explanation:

Answer:

5(12 : 3) -8

Step-by-step explanation

when you solve the first half of the equation you get 1.

so 9-1 is 8.

The statistic that gives the most meaningful information about the price expected to pay is the mode.

In statistics, the mode refers to the most common or frequent values.

Because the most common value is equivalent or the most common price, which in this case is $10.

Learn more about price in: https://brainly.com/question/18117910

#SPJ1

Answer:

125 is an outlier

125 changes the mean by 23 points (from 375 to 352)

Step-by-step explanation:

an outlier is 1.5 times the IQR

the InterQuartile Range of this set of data is 400-350 or 50

50 x 1.5 = 75

the only data value that is 75 points from the IQR is 125

The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

Learn more about present worth here:

https://brainly.com/question/14962478

#SPJ11

A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

To know more about spreadsheet, refer here:
https://brainly.com/question/11452070
#SPJ11

Answer:

C

Step-by-step explanation:

since the dilatation is centred at the origin then multiply the coordinates of the point by scale factor of \(\frac{1}{3}\)

(- 3, 6 ) → (\(\frac{1}{3}\) (- 3), \(\frac{1}{3}\) (6) ) → (- 1, 2 )

Answer:

k=-570

Step-by-step explanation:

P(x) = kx^3+23x^2+71x+30

If 2x-1 is a factor of p(x)

Then,

2x-1 =0

2x=1

x=1/2 and at this value, p(x) =0

Substitute x = 1/2 for x in p(x)

p(1/2) = k(1/2)^3 + 23(1/2)^2;+71(1/2)+30

k(1/8)+23/4 +71/2+30=0

k/8= -23/4 -71/2-30

k/8 = -285/4

k= -(285*8)/4

k=-570

Thus, the polynomial p(x) = -570x^3 +23x^2 +71x +30

Factorization of p(x)

(2x-1) (-285x^2 +131x-30).

the answere would be k=-570

oh and answere me :()

Answer:

-10x + y = 64

Step-by-step explanation:

hope it helps

The formula for the number of cells after t days is: Number of cells = 300 + 240 * t. The number of cells present after 5 days is 1500.

In the given question, we are asked to find a formula for the number of cells after t days, given an initial number of 300 cells and a rate of increase of 240 cells per day.

To find the formula, we can use the concept of linear growth. Since the rate of increase is constant, we can express the number of cells after t days using the formula:

Number of cells = Initial number + Rate of increase * Number of days

Substituting the given values, we have:

Number of cells after t days = 300 + 240 * t

This formula represents the number of cells after t days based on the given rate of increase.

In part (b) of the question, we are asked to use the formula obtained in part (a) to find the number of cells present after 5 days. To do this, we substitute t = 5 into the formula:

Number of cells after 5 days = 300 + 240 * 5 = 300 + 1200 = 1500

Therefore, the number of cells present after 5 days is 1500.

The question may have some typos and unclear instructions, so it is important to verify the information provided and clarify any doubts to ensure accurate interpretation and calculation.

Learn more about formula

brainly.com/question/20748250

#SPJ11

The mean is approximately 5.47, the median is 5, and the mode is 5 for the given data set of yogurt pretzels.

The given data set represents the number of yogurt pretzels in various bags. The numbers in the data set are: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8.To summarize the data set, we can calculate the measures of central tendency, such as the mean, median, and mode:

Mean: The mean is calculated by summing up all the values and dividing by the total count. In this case, the sum is 82, and there are 15 values. So, the mean is 82/15 ≈ 5.47.

Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, the median is 5, as it lies in the middle when the values are sorted.

Mode: The mode is the value that appears most frequently. In this data set, the mode is 5, as it occurs six times, more than any other number.

For more such questions on mean

https://brainly.com/question/1136789

#SPJ8

Answer:

5/5

Step-by-step explanation:

Assuming that when you say 1 as a whole number, the value 1 would be 5/5 when the denominator is five.

The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.

We have,
1. First, calculate the sample proportion (p) by dividing the number of students with part-time jobs (207) by the total number of students surveyed (460): p = 207/460 ≈ 0.450

2. Calculate the standard error (SE) using the formula SE = √(p (1 - p)/n), where n is the sample size:

SE ≈ √(0.450(1 - 0.450)/460) ≈ 0.046

3. Find the critical value (z) for a 90% confidence interval, which is 1.645.

4. Calculate the margin of error (ME) using the formula ME = z x SE:

ME ≈ 1.645 x 0.046 ≈ 0.076

5. Find the lower and upper limits of the confidence interval by adding and subtracting the margin of error from the sample proportion:

Lower limit ≈ 0.450 - 0.076 ≈ 0.374,

Upper limit ≈ 0.450 + 0.076 ≈ 0.526

Thus,
The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.

Learn more about confidence intervals here:

https://brainly.com/question/17212516

#SPJ11

We are 98% confident that the true population mean of the lifespan of light bulbs falls between 1,784.63 hours and 1,815.37 hours.

The 98% confidence interval estimate for the population mean lifespan of light bulbs in the United States, based on a sample of 3,500 families, is between 1,784 hours and 1,815 hours.

According to the question,

We can calculate a 98% confidence interval for the average lifespan of a light bulb based on the sample mean of 1,800 hours and a population standard deviation of 400 hours.

Using a standard formula and the given data,

We can calculate the margin of error to be approximately 28.62 hours. This means that we can be 98% confident that the true average lifespan of a light bulb falls within the range of 1,771.38 hours to 1,828.62 hours.

Therefore, the correct interpretation of the 98% confidence interval estimate is that we are highly confident that the true average lifespan of a light bulb for the population falls within this range,

Based on the sample data collected from 3,500 families in the United States.

The correct interpretation of a 98% confidence interval is that we are 98% confident that the true population mean falls within the range of 1,784 hours to 1,815 hours based on the sample data we collected from the 3,500 families in the United States.

It's important to note that this confidence interval estimate provides a range of values within which the true population mean is likely to fall. It does not mean that the true population mean is necessarily within this range with 98% certainty. Rather, it means that if we were to repeat this study many times and construct 98% confidence intervals using the same method, 98% of the intervals would contain the true population mean.

Therefore, we cannot say that the population mean hours a light bulb lasts in the United States will be within the interval 1,784 hours to 1,815 hours 98% of the time.

Rather, we can say that there is a 98% chance that the true population mean falls within this interval based on the sample data we collected.

To learn more about statistics visit:

https://brainly.com/question/30765535

#SPJ4

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

Step-by-step explanation:

To find the time taken for an object to travel given it's velocity and distance covered we use the formula

\(time = \frac{distance}{speed} \\ \)

From the question

distance = 480 miles

speed = 40 mi/h

So we have

\(time = \frac{480}{40} = \frac{48}{4} \\ \)

We have the final answer as

Hope this helps you

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

Answer:

Move 1 to the left side of the equation by subtracting it from both sides. Subtract 1 from 43.