Help? Please? Thank you in advance!! Will give brainliest if requested...

Answer:

The answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.

Step-by-step explanation:

To solve for the volume of the sphere, start by using the formula for the volume of a sphere, which is V= \(\frac{4}{3}\)\(\pi\)\(r^{3}\).

Next, plug in the information given from the question into the formula. The formula will then look like V= \(\frac{4}{3}\)(\(\pi\))(\(31.6^{3}\)).

Then, simplify and solve for the answer. The final answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.

Answer:

Only B is equal to 1/5.

Step-by-step explanation:

1/ 5 =  7/35   (because (7/7) / (35/7) = 1/5 )

Answer:

b) 7/35

Step-by-step explanation:

\(\dfrac{1*7}{5*7}=\dfrac{7}{35}\)

7/35 is the equivalent fraction to 1/5

The probability of completing the project in 27 months using PERT is approximately 0.8413 (or 84.13%). PERT assumes a normal distribution with a mean of 24 months and a variance of 9.

To calculate the probability that the project will be completed in 27 months using PERT (Program Evaluation and Review Technique), we need to use the concept of normal distribution.

PERT assumes that the completion time of a project follows a normal distribution with a mean (expected completion time) and variance. In this case, the expected completion time is 24 months and the variance is 9.

To find the probability of completing the project in 27 months, we can use the standard normal distribution table or a statistical calculator to find the area under the normal curve.

First, we need to calculate the standard deviation (σ) using the variance (σ^2):

σ = \(\sqrt{\text{variance}} = \sqrt{9} = 3\)

Next, we can calculate the z-score, which represents the number of standard deviations away from the mean:

\(z = \frac{x - \mu}{\sigma}\)

where x is the desired completion time and μ is the mean.

For completing the project in 27 months:

\(z = \frac{27 - 24}{3} = 1\)

Using the standard normal distribution table or a statistical calculator, we can find the area to the left of the z-score of 1. This represents the probability that the project will be completed in 27 months or earlier.

The probability that the project will be completed in 27 months is approximately 0.8413 (or 84.13% when expressed as a percentage).

Therefore, the probability that the project will be completed in 27 months is approximately 0.8413.

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Answer:

Its actually 9.4 × 10²

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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Answer:

x = ±√7, ±i√2

Step-by-step explanation:

\(x^4-5x^2-14=0\\(x^2-7)(x^2+2)=0\\\)

\(x^2 - 7 = 0\) or \(x^2 + 2 = 0\\\)

x^2 - 7 = 0

x^2 = 7

x = ±√7

or x^2 + 2 = 0

x^2 = -2

x = ±i√2

Answer: 8

Step-by-step explanation:

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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Answer:

Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar

Step-by-step explanation:

Answer: they look similar

Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)

For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June

Mean = sum of data / Number of data

The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,

Only the top 200200200 longest streaks worldwide in June will win.

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(i) The surface temperature of the cylinder can be found by substituting r = 0.025 m (half of the diameter) into the given temperature distribution equation. The centreline temperature can be found by substituting r = 0.

(ii) To calculate the volumetric rate of heat generation, we need to find the gradient of the temperature distribution with respect to r (dT/dr). This can be done by taking the derivative of the temperature distribution equation with respect to r.

(iii) The average temperature of the cylinder can be found by integrating the temperature distribution equation over the entire volume of the cylinder and then dividing by the volume.

Explanation:

To solve this integral, we need the limits of integration (r_min and r_max) and the length of the cylinder (L). Without this information, we cannot provide an exact calculation for the average temperature.

Please note that for more accurate calculations, specific values for the length of the cylinder and the integration limits are required.

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By solving the generated equation, Calvin caught 16 smallmouth bass and 9 largemouth bass.

What is meant by equation?

An equation states that the two expressions have the same value or are equivalent to each other. Equations are used in various areas of mathematics, science, engineering, and everyday life to describe relationships and solve problems.

Let x represent the number of smallmouth bass that Calvin caught, and y represent the number of largemouth bass that he caught.

From the problem, we know that the total number of fish that Calvin caught is 25:

x + y = 25

We also know that the number of smallmouth bass that Calvin caught is 2 less than double the number of largemouth bass that he caught:

x = 2y - 2

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y:

y = 25 - x

Substituting this into the second equation, we get:

x = 2(25 - x) - 2

Simplifying this equation, we get:

x = 48 - 2x

Solving for x, we get:

3x = 48

x = 16

Substituting this value of x back into either of the original equations, we can solve for y:

y = 25 - x = 25 - 16 = 9

Therefore, Calvin caught 16 smallmouth bass and 9 largemouth bass.

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The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

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There are 15 * 15 * 10 = 225 possible combinations that could be Lark's locker combination.

There are 15 odd numbers (1, 3, 5, ..., 29), 15 even numbers (2, 4, 6, ..., 30), and 10 multiples of 3 (3, 6, 9, ..., 30) that can be used as the first, second, and third number in the combination, respectively. Therefore, there are 15 * 15 * 10 = 225 possible combinations that could be Lark's locker combination.

The method we used is called the counting principle, which is a way to find the total number of outcomes in a scenario where multiple events are happening at the same time. In this case, we have three independent events: selecting the first number, selecting the second number, and selecting the third number. Each event has a limited set of possible outcomes (odd numbers for the first, even numbers for the second, and multiples of 3 for the third), and we want to find the total number of possible combinations. To do this, we multiply the number of possible outcomes for each event together. In this way, we find that there are 15 x 15 x 10 = 225 possible combinations.

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Marlene will have to pay a Total of $131.89 if there is a 9% government tax on bills.

Marlene had a meal at KFC which cost her $110, and there was an additional 10% service charge. We have to determine the total cost of her meal, including the 9% government tax on bills. To find out the total cost of the meal, we'll use the following steps:

Step 1: Calculate the service charge service Charge = 10% of $110Service Charge = (10/100) × $110Service Charge = $11

Step 2: Calculate the subtotal Subtotal = Cost of meal + Service charge Subtotal = $110 + $11Subtotal = $121

Step 3: Calculate the government tax Government Tax = 9% of Subtotal Government Tax = (9/100) × $121Government Tax = $10.89

Step 4: Calculate the total cost Total Cost = Subtotal + Government Tax Total Cost = $121 + $10.89Total Cost = $131.89

Therefore, Marlene will have to pay a total of $131.89 if there is a 9% government tax on bills.

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Answer:

x = -2/3

y = 10/9

Step-by-step explanation:

3y - 4x = 6

x=3y-4

Substitute the second equation into the first for x

3y - 4( 3y-4) =6

3y - 12y +16 = 6

Combine like terms

-9y +16 = 6

Subtract 16 from each side

-9y +16-16 = 6-16

-9y = -10

Divide by -9

-9y/-9 = -10/-9

y = 10/9

x = 3y -4

x =3(10/9) -4

 =10/3 - 12/3

  =-2/3

The values of x that make y within 0.003 units of 7 are:0.5994 < x < 0.6006

What is inequality ?

In mathematics, an inequality is a statement that two values or expressions are not equal. In other words, it describes a relationship between two quantities, indicating that one is greater than, less than, or possibly equal to the other. Inequalities are often represented using inequality symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to). For example, "x < 5" represents an inequality stating that x is less than 5, while "y ≥ 3" represents an inequality stating that y is greater than or equal to 3. Inequalities are used in a wide range of mathematical applications, including algebra, calculus, geometry, and probability theory.

1.The absolute value inequality for "S is no more than 8 units from 6" is:

|S - 6| ≤ 8

2.The absolute value inequality for "P is within 0.0006 units of 3" is:

|P - 3| < 0.0006

3.The absolute value inequality for "r is no less than 6 units from 28" is:

|r - 28| ≥ 6

4.To find the values of x that make y within 0.003 units of 7, we can use the absolute value inequality:

|y - 7| < 0.003

Substituting y = 5x + 4, we get:

|5x + 4 - 7| < 0.003

Simplifying, we get:

|5x - 3| < 0.003

Using the definition of absolute value, we can write two inequalities:

5x - 3 < 0.003 and -(5x - 3) < 0.003

Solving for x in each inequality, we get:

x < 0.6006 and x > 0.5994

Therefore, the values of x that make y within 0.003 units of 7 are:

0.5994 < x < 0.6006

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The inequality graph that depicts the inequality y ≤ ²/₅x - 1 is;

Graph B

The inequality expression is given as;

y ≤ ²/₅x - 1

The general form of the equation of a straight line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given graphs, only option A and B could be correct because they are shaded below which shows less than.

However, Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.

Thus, only Option B is correct.

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