Find the length of a rectangular prism with a volume of 5 3/8, a width of 1/3, and a height of 3.

Answer:

Step-by-step explanation:

y + 5 = 8(x - 0)

y + 5 = 8x - 0

y = 8x - 5

Sample mean in sample b to be less variable and more representative of  population mean than sample mean in sample a.

Standard error measures the variability of sample means around the population mean.

It decreases as sample size increases.

Using the formula for the standard error of the mean,

Calculate the standard errors for each sample,

Standard error of sample a

= s/√(n)

= 850/√(9)

= 283.33

Standard error of sample b

= s/√(n)

= 850/√(36)

= 141.67

Where s is the sample standard deviation

And n is the sample size.

The standard error of sample b is smaller than the standard error of sample a.

Sample mean in sample b is more likely to be closer to true population mean than sample mean in sample a.

Therefore, sample mean b is more surprising as larger sample size makes it more likely and accurately represents population mean.

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Answer:

3 gallons a minute

Step-by-step explanation:

when you begin filling the tub it only needs 15 additional gallons until it's full

if it takes 5 minutes then the rate at which the tub if filling is 3 gallons per minute

The standard equation for the given situation of the bathtub is w = 5t + 12.

The standard equation to model this linear situation:

w = 5t + 12

where:

w is the number of gallons of water in the bathtub after t minutes

5 is the rate at which the bathtub is being filled (in gallons per minute)

12 is the initial number of gallons of water in the bathtub

To come up with this equation, we know that the bathtub holds 32 gallons of water and initially contains 12 gallons of water. We also know that after 5 minutes, the bathtub is full. This means that in 5 minutes, 32 - 12 = 20 gallons of water were added to the bathtub. Since the bathtub is being filled at a constant rate, we can assume that this rate of 20 gallons per 5 minutes is also the rate at which the bathtub is being filled at any other time.

We can now plug these values into the standard equation for linear relationships:

w = rt + b

where:

w is the dependent variable (the number of gallons of water in the bathtub)

r is the slope of the line (the rate at which the bathtub is being filled)

b is the y-intercept (the initial number of gallons of water in the bathtub)

In this case, we have:

w = 20t + 12

This equation models the linear relationship between the number of gallons of water in the bathtub and the number of minutes it has been filling.

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Correct Question:

A bathtub that holds 32 gallons of water contains 12 gallons of water. You begin filling it, and after 5 minutes the tub is filled. Write a standard equation.

Answer:

What is a 4 digit number divisible by 3? The first 4-digit number divisible by 3 is 1002. This is sometimes also referred to as the smallest four digit number divisible by 3 or the lowest 4-digit number divisible by 3.

Step-by-step explanation:

Answer:

1002

Step-by-step explanation:

The highest 3-digit number is 999, and it is also the highest 3-digit number divisible by 3.

To find the highest 4-digit number divisible by 3, add 3 to 999.

Answer:

Equation: 0.11x + 0.05(10500 - x) = 945

$7000 was invested at 11% and

$3,500 was invested at 5%

Step-by-step explanation:

There are two equations needed

Let x = amount of money invested at 11%
11% = 11/100 = 0.11 in decimal
Interest at 11% for 1 year = 0.11x

Amount of money invested at 5% interest. 5% = 0.05

= 10500 - amount invested at 11%= 10500 - x

Interest from this amount after 1 year = 0.05(10500 - x)

Total of these two = 945

So 0.11x + 0.05(10500 - x) = 945

The equation based on the information as it is given:

0.11x + 0.05(10500 - x) = 945

We know the total interest obtained was $945 so we have the equation
0.11x + 0.05(10500- 5x) = 945

Simplify

0.11x  + (525 - 0.05x) = 945
==>0.11x + 525 - 0.05x = 945

==> 0.06x = 945 - 525

==> 0.06x = 420

==> x = 420/0/06 = $7000

Amount invested at 11% interest is $7,000

Amount invested at 5% interest = 10,500 - 7,000 = $3,500

To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.

The correct option is, option (C) 6.

The probability of rolling a number 3 on any given roll is 1/4

If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).

The formula for the probability mass function of a binomial distribution is:

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

where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:

P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)

To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:

E(X) = n * p

In this case, E(X) = 20 * 1/4 = 5

Therefore, the expected number of times Joan rolls a 3 is 5.

Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.

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Answer:

40 million people

Step-by-step explanation:

Let x = total number of people that currently live in California,

3.35 million = 8.48/100(x),

3350000 = .0848x,

x = 39,504,716 people ≈ 40 million people

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Step-by-step explanation:

❀\( \underline{ \underline{ \text{Given}}} : \)

Then, Increment of the marks = 30 - 20 = 10

❀ \( \underline{ \underline{ \text{To \: find}}} : \)

❀ \( \underline{ \underline{ \text{Solution}}} : \)

\( \boxed{ \sf{Percentage \: of \: increment = \frac{Increase \: of \: marks}{Initial \: marks} \times 100\%}}\)

⇒ \( \sf{ \frac{10}{20} \times 100\%}\)

⇒ \( \boxed{ \sf{50 \: \%}}\)

\( \pink{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{50\%}}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The value of (double)(5/2) is 2.0. In the expression (double)(5/2), the division operation 5/2 is performed using integer division because both 5 and 2 are integers.

Integer division truncates the decimal part of the result and returns the quotient as an integer. In this case, 5 divided by 2 is equal to 2.

However, by explicitly casting the result to a double (using the (double) operator), we convert the integer value 2 to a double value, which becomes 2.0.

Therefore, the value of (double)(5/2) is 2.0, as the division is performed as an integer division followed by a casting to a double.

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There are a total of 6,311,042,650 possible ways to arrange two focus groups of students, one with size 4 and the other with size 6, from a group of 30 students including John and Jane.

To calculate the total number of possible ways to arrange two focus groups of students, one with size 4 and the other with size 6, we can use the combination formula. We need to choose 4 students from 30 for the first group, which can be done in C(30,4) ways, and then choose 6 students from the remaining 26 for the second group, which can be done in C(26,6) ways.

The total number of possible arrangements is the product of these two combinations:

C(30,4) * C(26,6) = (30! / (4! * (30-4)!) ) * (26! / (6! * (26-6)!) )

= 27,405 * 230,230

= 6,311,042,650

Therefore, there are a total of 6,311,042,650 possible ways to arrange two focus groups of students, one with size 4 and the other with size 6, from a group of 30 students including John and Jane.

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Statment b. If you buy groceries for $50, then you PIBP for them is equal to $50 is always true.

PIBP stands for "price paid in buyer's perspective," which means the amount that the buyer pays to purchase a product or service. In this case, if you buy groceries for $50, then your PIBP for them is indeed $50 since that is the price you paid as the buyer.

Option a is incorrect because PISP stands for "price in seller's perspective," which means the value the seller receives in exchange for a deal they own. Option c is incorrect because PIBP stands for "price paid in buyer's perspective," not "value in use." Option d is incorrect because PIBP and PISP can change around a cycle of ownership depending on the negotiation and agreement between the buyer and seller.

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Answer:

The solution to the inequality is:

\(-1\le \:x\le \:3\)

The line graph of the solution is also attached.

Step-by-step explanation:

Given the expression

\(4x-1\:\le \:5x\:\le \:3\left(x+2\right)\)

solving the expression

\(4x-1\:\le \:5x\:\le \:3\left(x+2\right)\)

\(4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)\)

solving

\(4x-1\le \:5x\)

Add 1 to both sides

\(4x-1+1\le \:5x+1\)

Simplify

\(4x\le \:5x+1\)

Subtract 5x from both sides

\(4x-5x\le \:5x+1-5x\)

simplify

\(-x\le \:1\)

Multiply both sides by -1 (reverse inequality)

\(\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)\)

Simplify

\(x\ge \:-1\)

Similarly solving

\(5x\le \:3\left(x+2\right)\)

Subtract 3x from both sides

\(5x-3x\le \:3x+6-3x\)

Simplify

\(2x\le \:6\)

Divide both sides by 2

\(\frac{2x}{2}\le \frac{6}{2}\)

Simplify

\(x\le \:3\)

So combine the interval

\(x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3\)

Merge overlapping intervals

\(-1\le \:x\le \:3\)

Therefore, the solution to the inequality is:

\(-1\le \:x\le \:3\)

The line graph of the solution is also attached.

To calculate the percent error, we need to use the following formula:

percent error = (|measured value - actual value| / actual value) x 100%

1. Determine the difference between the actual value (8 laps) and the estimated value (5 laps).
Actual value = 8 laps
Estimated value = 5 laps
Difference = Actual value - Estimated value = 8 - 5 = 3 laps

2. Divide the difference by the actual value:
Percent error (decimal) = Difference / Actual value = 3 laps / 8 laps = 0.375

3. Convert the decimal to a percentage by multiplying by 100:
Percent error = 0.375 * 100 = 37.5%

4. Round to the nearest percent:
Percent error ≈ 38%

So, Michael's percent error in estimating his laps around the track was approximately 38%.

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Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

The periodic rate is defined as the interest rate that is charged on a loan or an investment over a specific period of time

The general process of calculating unpaid balances, finance charges, new balances using the periodic rate of 1.5% is given below:

1. Unpaid balance: The unpaid balance is the remaining amount that has not been paid off. To calculate the unpaid balance, we need to know the initial balance and any payments made towards it. Subtract the payment amount from the initial balance to get the unpaid balance.

2. Finance charge: The finance charge is the cost of borrowing money, usually expressed as a percentage of the unpaid balance. To calculate the finance charge, multiply the periodic rate (1.5%) by the unpaid balance.

3. New balance: The new balance is the sum of the unpaid balance and the finance charge. Add the finance charge to the unpaid balance to get a new balance.

Keep in mind that the actual values of the unpaid balance, finance charge, and new balance will depend on the specific details provided, such as the initial balance and the payment made.

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a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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The property that should be used to continue simplifying the above equation is A-^1A = 1. So, correct option is C.

We can start with the equation AB = AC and multiply both sides by A^-1 on the left:

A^-1(AB) = A^-1(AC)

Using the associative property of matrix multiplication, we can simplify the left-hand side:

(A^-1A)B = (A^-1A)C

Using the fact that A^-1A = I (the identity matrix), we get:

IB = IC

Simplifying further using the fact that I times any matrix is that matrix itself, we obtain:

B = C

Therefore, the equivalent equation to AB = AC using A^-1 that simplifies to B = C is A^-1(AB) = A^-1(AC), and the property used to continue simplifying the equation is A^-1A = I.

The correct option is (C) A^-1A = 1, which is equivalent to A^-1A = I, since the identity matrix is denoted as 1 in some contexts.

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The width of the rectangular garden is 21 feet.

A rectangle is a plane shape that have pair of opposite sides equal and parallel.

To calculate the width of the rectangle, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute into equation 1

Hence, the right option is D. 21 feet.

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Answer:

8%

Step-by-step explanation:

The answer is 8% I hope this was useful

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

C. test and evaluate a solution

Answer:

I think the answer should be two and a half pieces

Based on the given data, the experimental probability of landing open side up is 0.1, landing closed side up is 0.88, and landing on its side is 0.02.

To determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side), we need to calculate the ratio of the number of times the cup landed in each position to the total number of tosses.

Let's calculate the experimental probability for each outcome based on the given table:

1. Landing open side up:

The cup landed open side up 5 times out of 50 tosses.

Experimental Probability = Number of times landed open side up / Total number of tosses

Experimental Probability = 5 / 50

Experimental Probability = 0.1

2. Landing closed side up:

The cup landed closed side up 44 times out of 50 tosses.

Experimental Probability = Number of times landed closed side up / Total number of tosses

Experimental Probability = 44 / 50

Experimental Probability = 0.88

3. Landing on its side:

The cup landed on its side 1 time out of 50 tosses.

Experimental Probability = Number of times landed on its side / Total number of tosses

Experimental Probability = 1 / 50

Experimental Probability = 0.02

Based on the given data, the experimental probability of landing open side up is 0.1, landing closed side up is 0.88, and landing on its side is 0.02. These probabilities indicate the likelihood of each outcome occurring in a toss.

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Between 1 and 1990, there are 2,475 integers for which the improper fraction (n^2 * 7) / (n * 4) is not in its lowest terms.

To determine when the fraction is not in lowest terms, we need to find values of n for which the numerator and denominator share a common factor greater than 1. Simplifying the fraction, we get (n * 7) / 4. For the fraction to be in lowest terms, n and 4 must be coprime, meaning they have no common factors other than 1. To find the values of n that violate this condition, we need to identify the multiples of 4 within the range 1 to 1990. There are 497 multiples of 4 in this range. However, since we are looking for values of n, we need to subtract 1 to exclude the multiple 0, yielding 496. Therefore, there are 496 values of n that do not satisfy the coprime condition. Subtracting this from the total number of integers in the range (1990 - 1 = 1989), we find that 1989 - 496 = 1493 integers yield the fraction in lowest terms. Finally, subtracting this number from the total number of integers (1990 - 1), we find that 1990 - 1493 = 497 integers give the fraction (n^2 * 7) / (n * 4) in lowest terms.

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The sum of interior angles of a polygon is:

CONCLUSION:

The final answer is:

The equations that could be solved to determine Sylvie's hourly earnings are

110 - 16 = 10h

110 = 16 + 10h

The correct options are the first and fourth options

From the question, we are to determine the equation that could be solved to determine Sylvie's hourly earnings

The equation that represent the total amount Sylvie needs to earn more is

$110 - $16 = $94

and the total number of hours she will work is 10 hours,

Then,

The equation for her hourly earning's, h, is

10 × h = $96

Thus, we can write that

10h = 96

OR

10h = 110 - 16

We will find the equations that are equivalent to this.

The equation that are equivalent to the above equations are

110 - 16 = 10h

110 = 16 + 10h

Hence, the equations are

110 - 16 = 10h

110 = 16 + 10h

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Answer: 6q +  2

Step-by-step explanation:

Answer: 62-48=14

Step-by-step explanation: therefor the bottom right hand corner is 14.

hope this is right ;)

Answer:

\(132\) °

Step-by-step explanation:

Angles in a straight line add up to 180°

\(180-48\)

\(132\)

Answer: -2 is correct answer

Step-by-step explanation:

-8-(-6)

-8+6

-2