637,982 + 2,819 i need it

The Algebraic Notation of the expression is :

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

Given,

In the question:

a) ) 7 x p

b) p x p

To write the above expressions in correct algebraic notation.

What are the algebraic notations and operations?

The algebraic expressions are used to solve mathematical equations. There are 3 types of algebraic expressions namely, monomial, binomial, and polynomial expressions. The basic algebraic operations are addition, subtraction, multiplication, and division.

Come to the question:

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

Hence, The Algebraic Notation of the expression is :

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

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The piecewise defined function for fencing the backyard would be 30(300) + 25(x - 300), if x > 300, or 30x, if 0 < x ≤ 300, as seen below.

A piecewise defined function is a function that is defined by different formulas on different intervals or "pieces" of its domain. This means that the formula used to calculate the output (the function value) of the function depends on the value of the input (the independent variable).

For this particular question, let C be the cost of fencing a backyard and let x be the length of the fence in feet. Then, we can write the piecewise defined function as:

C(x) =  30x, if 0 < x ≤ 300 OR

C(x) = 30(300) + 25(x - 300), if x > 300

In other words, if the length of the fence is less than or equal to 300 feet, the cost is simply 30 times the length of the fence. If the length of the fence is greater than 300 feet, the cost is the cost of the first 300 feet (30 times 300), plus 25 times the additional length of the fence beyond 300 feet.

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Answer:

20

Step-by-step explanation:

The time taken by 18 bakers is given as 20 hours.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem is the case of Indirect proportion as the time taken is more as the number of bakers are less.

The time taken by 15 bakers is 24 hours.

Then, the time taken by 1 baker is given as 24 × 15 = 360 hours.

The time taken by 18 bakers is computed by taking the ratio as below,

Total time for 1 baker ÷ 18

⇒ 360 ÷ 18 = 20.

The time that will take 18 bakers to complete the work is 20 hours.

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When calculating the margin of error, the critical value t* gives us information about the number of standard deviations from the mean that corresponds to a certain confidence level. The larger the t* value, the larger the margin of error and the wider the confidence interval.

To find the t* value, you can use a t-table or a t-distribution calculator. Once you have the t* value, you can use the following formula to calculate the margin of error
Margin of error = t* × (standard deviation / √n)
Where t* is the critical value, standard deviation is the standard deviation of the sample, and n is the sample size.
For example, if you have a t* value of 2.0, a standard deviation of 5, and a sample size of 100, the margin of error would be:
Margin of error = 2.0 × (5 / √100) = 2.0 × (5 / 10) = 1
So the margin of error would be 1, meaning that the true mean is likely within 1 unit of the sample mean.

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The exact length x of the diagonal of the rectangle is the exact length of the diagonal is 4sqrt(5).

We can use the Pythagorean theorem to solve for the diagonal:

The Pythagorean Theorem is a fundamental principle in mathematics that describes the relationship between the sides of a right triangle.

It states that the sum of the squares of the two shorter sides (the legs) of a right triangle is equal to the square of the length of the longest side (the hypotenuse).

x^2 = 4^2 + 8^2

x^2 = 16 + 64

x^2 = 80

x = sqrt(80)

x = 4sqrt(5)

Thus, the exact length of the diagonal is 4sqrt(5).

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Answer:

I'd guess B and D

Step-by-step explanation:

5dAnswer:

Step-by-step explanation:

hello

to find the ration equivalent of 3:7 from the options given is 24:56

just multiply 3:7 by 8 and it'll give you 24:56

that is 3 * 8 = 24

3 * 7 = 56

Answer:

Step-by-step explanation:

The solution of each question is self-explanatory.

Used properties

Answer:

38°; 142°; 308°

Step-by-step explanation:

belive me

Standard deviation of the following data is 0.655.

The standard deviation is equal to the variance's positive square root. It is a fundamental statistical analysis method. The amount by which data values deviate from the mean is referred to as "standard deviation," or "SD."

Whereas a big standard deviation implies that the values are much outside the mean, a low standard deviation shows that the values are frequently only a few standard deviations from the mean.

Here in the question,

Total kids = 20.

Mean = 9+9.5+9.5+10+10+10+10+10.5+10.5+10.5+10.5+11+11+11+11+11+11+11.5+11.5+11.5/20

= 10.52

Now square of distance between mean and ages.

(9-10.52) ² = 2.31

(9.5-10.52) ² = 1.04

(10-10.52) ² = 0.27

(10.5-10.52) ² = 0.0004

(11-10.52) ² = 0.23

(11.5-10.52) ² = 0.96

Now sum of all the differences = 2.31 + 1.04 + 1.04 + 4×0.27 + 4× 0.0004 + 6× 0.23+ 3×0.96

= 8.73

Now standard deviation = √8.73/20

= √0.43

= 0.655

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Answer:

No.

Step-by-step explanation:

For the inequality 7 ≥ r, 9 is not a solution. This inequality states that seven is greater than or equal to r, but 7 is not greater than or equal to 9. So this makes 9 not a solution for this inequality.

Answer:

n= -2

Step-by-step explanation:

Combine like terms, after divide both sides of the equation by the same term, then simplify.

Hope this helps.

Answer:

Hi

Please mark brainliest ❣️

Step-by-step explanation:

density= mass / volume

density= 160 / 100

density= 1.6

b. If this study were to be repeated with a sample of the same size, there is a 95% probability that the sample proportion would be between 0.20 and 0.27.

ung adults who skip breakfast is between 0.20 and 0.27.

The correct interpretation of the 95% confidence interval is c. We can be 95% confident that the proportion of young adults who skip breakfast is between 0.20 and 0.27.

This  means that if we were to repeat the study multiple times, we would expect 95% of the resulting confidence intervals to contain the true proportion of young adults who skip breakfast.

It  does not mean that there is a 95% probability that the true proportion falls between 0.20 and 0.27 (option a) since the true proportion either is within that range or it is not. Also, the confidence interval is about the population parameter (the proportion of young adults who skip breakfast), not the sample statistic (the sample proportion) as stated in option b.

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Confidence interval for the true percent of voters in a city who voted yes on proposition 200: A random sample of 1200 voters in a city found 216 voters who voted yes on proposition 200. The true percentage of voters who voted for proposition 200 in the city can be estimated using a confidence interval.

Let p be the proportion of voters who voted for proposition 200. Using the sample data, we can estimate the proportion as follows: p = 216/1200

= 0.18 (rounded to two decimal places)

We can use the normal distribution to create the confidence interval as the sample size is greater than 30. Let α be the level of significance for the confidence interval. For a 95% confidence interval, α = 0.05. The corresponding z-scores are found in the z-table. The z-scores corresponding to the 2.5% and 97.5% areas in the tail are -1.96 and 1.96 respectively. Using these values, we can create the confidence interval. The margin of error is calculated using the formula: margin of error = z* {sqrt [(p(1 - p))/n]}

where z = 1.96,

p = 0.18 ,

n = 1200

margin of error = 1.96{sqrt [(0.18(1 - 0.18))/1200]}

= 0.025

The confidence interval is:p ± margin of error= 0.18 ± 0.025

= [0.155, 0.205] Therefore, the 95% confidence interval for the true percent of voters in the city who voted yes on proposition 200 is [15.5%, 20.5%].

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Answer:

Step-by-step explanation:

Number of students 10

Problem 1. $625 for the bus hire per friday, So 625*4=$2500

Problem 2. 2500/25=$100 each for the whole 4 weeks

Problem 3.

10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each

20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each

30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each

41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each

Hope this is correct

Answer:

This is a simple explanation we are letting positive 6 try to add into negative 1 this will give us 5

if we do 6-1 which is the equation shown just more easier to understand

6 + (-1) =

  \/

6 - 1 = 5

Answer:

it's the third one

Step-by-step explanation:

Jayme sold $28,720 total in the last week and is paid 7 1/2% commission. How much does Jayme get paid?

7.5% = 0.075

0.075 * $28,720 = $2,154

More information or diagram needed.

The problem provides a circle with center E and three points A, B, and C on the circumference. Using the properties of circles and triangles, we can solve for the unknown length AC. First, we observe that since E is the center of the circle, the length of segment EB is equal to the length of segment EC. Next, we can apply the inscribed angle theorem to triangle ABC to find that angle AEC is a right angle, since it intercepts the diameter of the circle. Therefore, we can use the Pythagorean theorem to find the length of AC, where AC^2 = AE^2 + EC^2. Substituting EB for EC and simplifying, we get AC^2 = AE^2 + EB^2. Finally, we can plug in the given values to obtain AC = sqrt(2.4^2 + 5.2^2) = sqrt(34) ≈ 5.83. Therefore, the length of AC is approximately 5.83.

Answer:

Step-by-step explanation:

First we need to know how many customers in total received a coupon the day that there were 150 customers.

If for each 25 customers, 3 received a coupon. 0.12 of customers received a coupon (\(\frac{3}{25}\) = 0.12)

You can multiply this value by 150 to get 0.12 x 150 = 18 people

Another way you can think about this is 150/25 = 6 and 6 x 3 = 18 people

Now that we know how many people received coupons, we need to find the monetary value of these coupons. To do this, we multiply 18 by $10. Therefore, the total value of the coupons that were given out was $180.

Answer: $180

Answer:

18 people

Step-by-step explanation:

3/25 = x/150

3 times 150 / 25

= 450/25

= 18 people

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A stone arch can be twice as wide as a stone lintel because an arch distributes the weight of the structure vertically down its curve to the columns (piers) on either side while a lintel distributes the weight horizontally along the length of the stone.

A stone arch can be twice as wide as a stone lintel because an arch distributes the weight of the structure vertically down its curve to the columns (piers) on either side while a lintel distributes the weight horizontally along the length of the stone.

It requires only a small fraction of the arch's width to support itself while a lintel requires the full width of the structure that it spans. Thus, a stone arch can span a larger gap than a stone lintel and be twice as wide while using the same material.

For example, the Roman Colosseum uses an arch to span the entrances and exits while the walls supporting the upper levels use a series of stone lintels to support the structure.

Moreover, the arc prevents the need for a central support structure, which would be in the way of any events taking place in the structure. The technology of arches made them fundamental to ancient Roman architecture. For example, the arches were used to construct aqueducts, which provided a steady supply of water to the city of Rome.

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The probability that the mean of a random sample of 52 pregnancies is less than or equal to 222 days is approximately 0.0005 (rounded to four decimal places).

Let's discuss it further below.

To solve the problem, we use the z-score formula, which is as follows:

z=(X−μ)/σX = sample mean = 222 days

μ = population mean = 226 days

σ = standard deviation of the population = 15 days

n = sample size = 52

To find the probability, we need to convert the sample mean to a z-score, which is calculated as follows:

z=(X−μ)/σ=(222−226)/(15/√52)=−4/2.096=−1.91

Now we need to find the probability that a random sample of 52 pregnancies has a mean gestation period of 222 days or less, which is equivalent to finding the probability that a z-score is less than or equal to −1.91.

Using a z-table or calculator, we find that the probability of a z-score being less than or equal to −1.91 is approximately 0.0005 (rounded to four decimal places).

Therefore, the answer is 0.0005.

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We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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x^3 ‐ 7x^2

Explanation:

x^2(x-7) = x^3 ‐ 7x^2

Therefore, the ratio of the volumes of the two similar triangular prisms is approximately 1.25.

To find the ratio of the corresponding side lengths of the perimeters of the corresponding faces, we can take the square root of the ratio of the areas of the faces.

Given:

Area of first face = 49 cm²

Area of second face = 25 cm²

The ratio of the areas is:

49 cm² / 25 cm² = 1.96

Taking the square root of this ratio gives us the ratio of the corresponding side lengths:

√1.96 ≈ 1.4

Therefore, the ratio of the corresponding side lengths of the perimeters of the corresponding faces is approximately 1.4.

Now, let's find the ratio of the volumes of the two similar triangular prisms. Since the volumes of similar objects are proportional to the cubes of their corresponding side lengths, we can take the cube root of the ratio of the areas to find the ratio of the volumes.

The ratio of the volumes is:

∛(49 cm² / 25 cm²) = ∛1.96

≈ 1.25

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The points actually reflect an inverse variation, and the ordered pairs can be represented by the function y =. thus those are the correct answers.

If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected.

When x is not equal to zero, an equation of the form y = kx describes the linear function known as direct variation. A nonlinear process is inverse variation.

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Answer:

x = 12.35

Step-by-step explanation:

Tan(39) = 10/x

Tan(39) * x = 10

x = 10 / Tan(39)

x = 12.35

Hope this helps!

Answer:

Step-by-step explanation:

Remember SOHCAHTOA.

In this case, we use TOA.

tan(39) = 10/x

x = 10/tan(39)

x = 12.349

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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Answer:

1.54 and 1.7 I believe

Step-by-step explanation:

Answer:

The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds

Step-by-step explanation:

To find how many pounds each tire is, divide the weight in grams by 453.592

Full steel tire:

800/453.592 = 1.76 pounds

Lighter wheel:

700/453.592 = 1.54 pounds

So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds