Inequality’s

c) Solve 3x + 7 > x + 19

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

1/2                                                                                      

Step-by-step explanation:

Second rectangle and third rectangle are resulting rectangles scale drawings of one another

The area of Rectangle is length times of width.

Given,

Gayla draws a rectangle.

Second rectangle:

Jared then draws a different rectangle by increasing both the length and the width by 5%.

Third rectangle:

Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches.

Let us assume 1 inches as 1 percentage.

So second rectangle and third rectangle are resulting rectangles scale drawings of one another

Hence,  second rectangle and third rectangle are resulting rectangles scale drawings of one another

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We may determine the value of candy costs by solving a linear equation in which the answer is given as

x = $4.00.

We are aware that a shop owner blends two pounds of candy priced at x dollars per pound with three pounds of candy priced at $1.50 per pound. She asks $2.50 for the mixture.

Since the entire cost at the start must equal the total cost at the end, we can express the equation as 2lb + 3lb = 5lb.

2*x + 3*$1.50 = 5*$2.50

This linear equation for x may now be solved:

2*x = 5*$2.50 - 3*$1.50 = $8.00

x = $8.00/2 = $4.00

The sweet has a $4 price tag.

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Answer: 4.026

Step-by-step explanation:

Answer: 219.91cm

Step-by-step explanation:

C=πd

π·70

=219.91149cm

An arithmetic sequence that has 14 terms and common difference d=3

The last term is x₁₄= 270

To calculate any nth term on an arithmetic sequence you have to do as follows

Where

xₙ is the nth term of the sequence

a is the first term

d is the common difference

(n-1) indicates that you are considering any value of the sequence except the first one

To determine the first term of the sequence you have to write the equation in terms of a

Replace the expression obtained with the information of the sequence

The probability that Y=1 given X=2 and Z=3 is 1/3.

Given that X, Y, and Z have joint distribution as shown below:

\(f(x, y, z) = \frac{xy^2z}{180}, x=1,2,3;y=1,2;z=1,2,3\)

We need to find \(P(Y=1|X=2, Z=3)\).

Therefore, we can use the conditional probability formula:

\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\)

Now we find the numerator and denominator individually:

Numerator: \(P(Y = 1, X = 2, Z = 3)\)

Here, we fix X=2, Z=3 in the given probability distribution and find the value of Y=1.

\(P(Y = 1, X = 2, Z = 3) = f(2, 1, 3) = \frac{2(1)^2(3)}{180} \\= \frac{1}{15}\)

Denominator: \(P(X = 2, Z = 3)\)

We fix Z=3 in the given probability distribution and sum over all values of Y to get the probability of X=2 and Z=3.

\(P(X = 2, Z = 3) = \sum_{y=1}^{3} f(2,y,3)P(X = 2, Z = 3) = f(2,1,3) + f(2,2,3) + f(2,3,3)\\P(X = 2, Z = 3) = \frac{2(1)^2(3)}{180} + \frac{2(2)^2(3)}{180} + \frac{2(3)^2(3)}{180}\\P(X = 2, Z = 3) = \frac{1}{5}\)

Substituting these values in the conditional probability formula, we get:

\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\\P(Y = 1 | X = 2, Z = 3) = \frac{\frac{1}{15}}{\frac{1}{5}}\\P(Y = 1 | X = 2, Z = 3) = \frac{1}{3}\)

Therefore, the probability that Y=1 given X=2 and Z=3 is 1/3.

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In theory, Option D. All of these stages occurs at prisoner classification.

Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.

Prisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:

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The smallest three-digit number divisible by the first three prime numbers (2, 3, and 5) and the first three composite numbers (4, 6, and 8) is 120.

The first three prime numbers are 2, 3, and 5. The first three composite numbers are 4, 6, and 8. In order for a number to be divisible by all six of these numbers, it must be divisible by their least common multiple (LCM).

The LCM of 2, 3, 5, 4, 6, and 8 is 120. Therefore, the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers is 120.

Here is a more detailed explanation of how to calculate the LCM:

Find the prime factorization of each number.

Find the highest power of each prime factor.

Multiply the prime factors together, using the highest power for each factor.

The highest power of 2 that appears in any of the prime factorizations is 2^3.

The highest power of 3 that appears in any of the prime factorizations is 3^1.

The highest power of 5 that appears in any of the prime factorizations is 5^1.

Therefore, the LCM of 2, 3, 5, 4, 6, and 8 is 2^3 * 3^1 * 5^1 = 120.

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Answer: 49

Step-by-step explanation:

If R is the midpoint of QS, QS=2(QR)=2(RS).

\(15x-7=2(7x)\\15x-7=14x\\-7=-x\\\\x=7\\\\QR=7(7)=\boxed{49}\)

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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Answer: For all three functions, the direction of fastest increase at the point (1, 1, 1) is the direction of the gradient vector of the function at that point.

For function (a), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2/x³, 2y, 22] = [2, 2, 22].

The direction of this gradient vector is given by the direction in which each of its components is increasing the most rapidly. In this case, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (b), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[4y + 4z, 4x + 4z, 4x + 4y] = [4, 4, 4].

Again, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (c), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2x, 2y, 2z] = [2, 2, 2].

As before, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

Therefore, for all three functions, the direction of fastest increase at (1, 1, 1) is the direction of the positive x, y, and z axes.

Step-by-step explanation:

Answer: 4800 containers

Step-by-step explanation:

We can see that along the length, the ship can carry (1200 / 30) = 40 containers and along the width, it can carry (300/10) = 30 containers.

Since the containers can be stacked four high, the number of containers that the ship can carry at a time would be:

= 40 × 30 × 4.

= 4800 containers

Answer: =268.19047cm^3 or 268.08 rounded

Step-by-step explanation: using \(\frac{4}{3} *\pi *r^{3}\) to get my answer.

Hope this helps :)

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Answer:

The Bakers are now selling their house for $133,860

Step-by-step explanation:

Percentage

The original price for The Bakers' house was $145,500.

Later they decided to mark down the price of the house by 8%.

Since the new price will be 8% less than the original price, we can calculate the markdown as follows:

8 * $145,000 / 100 = $11,640

The new price is calculated as the original price minus the markdown:

New price = $145,500 - $11,640 = $133,860

The Bakers are now selling their house for $133,860

A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.

To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.

Here's how the distribution of the various sub-populations can be maintained in the final sample:

1. Determine the proportion of each subgroup in the population:

  - Asian: 500 / 2000 = 0.25 (25%)

  - Hispanic: 1000 / 2000 = 0.5 (50%)

  - Native American: 500 / 2000 = 0.25 (25%)

2. Calculate the number of samples to be chosen from each subgroup:

  - Asian: 0.25 * 200 = 50 samples

  - Hispanic: 0.5 * 200 = 100 samples

  - Native American: 0.25 * 200 = 50 samples

3. Randomly select the specified number of samples from each subgroup.

By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.

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The maximum number of grams of CaSO4 that can be produced is calculated by determining the limiting reactant and using stoichiometry to find the corresponding amount of product.

To determine the limiting reactant, we need to compare the moles of each reactant and their stoichiometric ratios in the balanced equation.

1. Calculate the moles of Ca3(PO4)2:

                             = 310.18 g/mol

2. Calculate the moles of H2SO4:

3. Compare the stoichiometric ratios:

  From the balanced equation, the stoichiometric ratio of Ca3(PO4)2 to H2SO4 is 1:3.

  The moles ratio of Ca3(PO4)2 to H2SO4 is 3.22 mol : 10.19 mol.

4. Limiting Reactant:

  Since the stoichiometric ratio is 1:3, we can see that Ca3(PO4)2 is the limiting reactant because it will be completely consumed before H2SO4.

5. Determine the maximum grams of CaSO4:

  The stoichiometric ratio of CaSO4 to Ca3(PO4)2 is 3:1.

  The moles of CaSO4 produced will be equal to the moles of Ca3(PO4)2 used.

  Moles of CaSO4 = 3.22 mol

  Mass of CaSO4 = moles x molar mass = 3.22 mol x (40.08 g/mol) = 129.34 g

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Answer:

I think the answer is 8 inches

The answer is u = (10, 5)

Step-by-step explanation:

Imagine u = (x, y)

10 = x/2 + 10/2

10 = x/2 + 5

20 = x + 10

x = 20 - 10

x = 10

u = (10, y)

6 = y/2 + 7/2

6 = y/2 + 3.5

12 = y + 7

y = 5

u = (x, 5)

Thus, u = (10, 5)

You can solve this equation by converting to standard form and using the formula for roots of quadratic equation.

The solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

The standard form of quadratic equation is given by:

\(ax^2 + bx + c =0\)

The roots of this equation is obtained by:

\(x =\dfrac{-b \pm \sqrt{b^2 -4ac }}{2a}\)

We can take square on both sides to remove the root.

\(\sqrt{x+10} -1 =x\\ \sqrt{x+10} = x + 1\\ \\ \text{Taking square on both sides}\\ \\ x + 10 = (x + 1)^2\\ x + 10 = x^2 + 1 + 2x\\ x^2 + x - 9 = 0\\ \)

Know that we took square.

Also know that \((\sqrt{x+10})^2 = (-\sqrt{x+10})^2 = x+10\\ \) This is the reason that both roots we will obtain won't belong to our quadratic equation we obtained. Thus, we will have to check which root is correct solution of the obtained quadratic equation.

Now, comparing with standard form, we get a = 1, b = 1, c = -9, thus:
\(x = \dfrac{-1 \pm \sqrt{1 + 36}}{2} = \dfrac{-1\pm\sqrt{37}}{2}\)

x = 2.54 or x = -3.54

Putting both values, we get:

For x  =2.54:

\(\sqrt{x+10} -1 =x\\ \sqrt{2.54+10}-1 = 2.54\\ 2.5411 \approx 2.54\)

For x = -3.54

\(\sqrt{x+10} -1 =x\\\sqrt{-3.54+10}-1 = -3.54\\1.5411 \neq -3.54\)

Thus, the solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

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The five-number summary is:

Minimum: 5

Q1: 60.5

Median (Q2): 72

Q3: 84

Maximum: 99

The middle number or central value within a set of data is known as the median. The number that falls in the middle of the range is also the median.

To find the five-number summary, we need to arrange the given test scores in ascending order:

5, 31, 41, 45, 48, 52, 55, 56, 58, 63,

65, 67, 67, 69, 70, 70, 74, 75, 78, 79,

79, 80, 81, 83, 85, 87, 90, 92, 95, 99.

The five-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

1. Minimum: The smallest value in the data set is 5.

2. Q1: The first quartile is the median of the lower half of the data set. The lower half of the data set is:

5, 31, 41, 45, 48, 52, 55, 56, 58, 63,

65, 67, 67, 69.

The median of this lower half is (58 + 63) / 2 = 60.5. Therefore, Q1 = 60.5.

3. Q2 (Median): The median is the middle value in the data set. Since there are 30 data points, the median is the average of the 15th and 16th values:

Q2 = (70 + 74) / 2 = 72.

4. Q3: The third quartile is the median of the upper half of the data set. The upper half of the data set is:

75, 78, 79, 79, 80, 81, 83, 85, 87, 90,

92, 95, 99.

The median of this upper half is (83 + 85) / 2 = 84. Therefore, Q3 = 84.

5. Maximum: The largest value in the data set is 99.

The five-number summary is:

Minimum: 5

Q1: 60.5

Median (Q2): 72

Q3: 84

Maximum: 99

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The volume of an ice cube produced by this machine is of:

Volume ice cube = 1 inch³

  A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.

If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:

Volume cube = side x side x side

Volume cube = side³

side = 1 inch

Volume ice cube = 1 inch³

As the side is 1 the volume and area will be 1 but with corresponding unit

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Answer:

103

Step-by-step explanation:

a triangle has a total of 180* so 180-40-37 will give yu the missing side which is 103

The mean amount of coffee to be dispensed from the vending machine should be set to 11.918 ounces to allow for a 2% overfill.

To determine the mean amount of coffee to be dispensed from the vending machine, we need to use the normal distribution and the given information that the standard deviation is 0.04 ounce and we can allow the cup to overfill 2% of the time.

First, we need to find the z-score associated with the 2% overfill. Using a standard normal distribution table or calculator, we can find that the z-score is approximately 2.05.

Next, we can use the formula z = (x - μ) / σ, where z is the z-score, x is the value of the random variable (the amount of coffee dispensed), μ is the mean, and σ is the standard deviation.

Substituting the values we have, we get:

2.05 = (12 - μ) / 0.04

Solving for μ, we get:

μ = 12 - 2.05 * 0.04

μ = 11.918

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Answer:

D.40°

Step-by-step explanation:

Angle U is congruent to angle S because UR = RS and UT=TS. Through that we now know U is also = 100°. A quadrilateral has to equal 360° degrees so 360°- 120° - 100°- 100° = 40° degrees

T is 40°

Answer:

its D. 40

hope that helped you

Answer:

In Bag A, the ratio of red counters to yellow counters is 1 : 4. (ii) The number of counters in the two bags is the same.

Step-by-step explanation:

Answer:

She can ride 12 rides i think if not let me know!

Step-by-step explanation:

32 - 8 then 24 divided by 2

Answer:

finding the area:

146

Step-by-step explanation:

You need to break the image up into 3 pieces. the lower big triangle, the middle square, and the top triangle.

the measuremets of the lower big triangle is 14 and 14.
to find the area, we need to do 1/2 *14*14
this equals 98

The measurements of the square is 4,4.
we multiply 4*4 to get 16

The measurements of the top triangle is 8,8.
We find the area by doing 1/2*8*8
We get 32

lastly, we add up all of our solutions.
we do 98+16+32
we get 146.