100 points!!!


Note: Enter your answer and
show all the steps that you
use to solve this problem in
the space provided.
Simplify the radical
expression. Show all your
steps.
√363-3√27

The money Jodi will have after selling her shares will be B. $5160.00

What is meant by selling?

Selling typically refers to the exchange of goods or assets for money or other valuable consideration. It is the process of transferring ownership of a product or item from the seller to the buyer in return for an agreed-upon price or value.

What is meant by shares?

Shares refer to units of ownership in a company or corporation. When a company sells shares, it is raising funds from investors who then become shareholders and have a claim on the company's profits and assets.

According to the given information

Jody bought 20 shares of Amazon at $121.00, which costs her 20 x $121.00 = $2420.00.

One year later, she bought 20 more shares at $127.00, which costs her 20 x $127.00 = $2540.00.

The total cost of buying all the shares is $2420.00 + $2540.00 = $4960.00.

Jody sold all her shares two years later at $133.00 per share, which gives her 40 x $133.00 = $5320.00.

Her total profit is $5320.00 - $4960.00 = $360.00.

After deducting the broker's fees, Jody will have $360.00 - $80.00 = $280.00.

Therefore, the correct answer is option B. $5160.00.

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Answer:

1. a.) The x intercepts are 7 and negative 3.

b.) The y-intercept is -21

2. C

3. a.) 4

b.) 4 and 1

Step-by-step explanation:

1 a.)The x intercepts can be found by setting y to 0, and solving for x for each factor individually.

0=x-7

7=x

0=x+3

-3=x

b.)The y-intercept can be found by multiplying the factors and looking the stand-alone number at the end of the equation. This can also be solved mathematically by replacing the x's in the equation with 0.

[tex]y=(x-7)(x+3)\\y=x^2-7x+3x-21\\y=x^2-4x-21\\y=(0)^2-4(0)-21\\y=-21[/tex]

2.) Based on the graph we can see the line intercepts the x-axis at -1 and 3. So if we were to put this into factored form, the numbers would be opposite when paired with x. Hence

(x-3)(x+1)

3 a.)  Again, this can be found by observing the number by itself at the end of the equation or mathematically by changing x to 0

[tex]y=(0)^2-5(0)+4\\y=4[/tex]

b.) As stated previously, this can be found by setting the y to 0 and solving the factors.

[tex]0=(x-4)(x-1)\\0=(x-4)\\4=x\\0=x-1\\1=x[/tex]

Answer:

The answer is: A

Step-by-step explanation:

Answer:

a) q<0

Step-by-step explanation:

[tex] \frac{q}{r} < 0 \\ = r \times \frac{q}{r} < 0 \times r \\ = q < 0[/tex]

The upper control limit for the p-chart is 0.111, and the lower control limit is 0.003.

To calculate the upper and lower control limits for a p-chart, we need to use the following formula:

UCL = p' + 3√(p'(1-p')/n)

LCL = p' - 3√(p'(1-p')/n)

Where p' is the mean proportion of defective pots, n is the sample size (in this case, 120), and UCL and LCL are the upper and lower control limits, respectively.

Given that the proportion of defective pots is believed to be 0.05, we can calculate the mean proportion of defective pots as:

p' = 0.05

Substituting this value in the above formula, we get:

UCL = 0.05 + 3√(0.05(1-0.05)/120) = 0.111

LCL = 0.05 - 3√(0.05(1-0.05)/120) = 0.003

Any sample proportion of defective pots falling outside these limits would be considered statistically significant and warrant further investigation to identify the root cause of the defects in the production process.

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Complete question is:

A random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the p' chart.

The granite countertop would cost $783.00.

Finding the cost of granite:

To find the cost of granite find the amount of granite that can be used for the entire kitchen.  

Since the kitchen floor is in a rectangle shape find the area of the kitchen floor using the area of a rectangle. Which will equal the amount of granite used for the kitchen.  

Use the formula for the cost of the countertop, which is the product of the area, and the cost per square meter, to determine the total cost.

Here we have

A counter in Adriana's kitchen is 1 m wide and 3 m long.

Hence, the area of the countertop can be found by multiplying the length and the width:

Area of kitchen = length x width = 3 m x 1 m = 3 m²

The cost of the granite is given by $ 261.00 per square meter

The cost of the granite countertop will equal the product of the area and the cost per square meter:

Total Cost = 3 m² x $261.00/m² = $783.00

Therefore,

The granite countertop would cost $783.00.

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The answer to this problem is  "The population is the total number of people who go to the mall, and the sample is the first 75 people at the mall".

When conducting a survey, it's important to carefully define the population of interest and the sample being surveyed. The population is the entire group that you want to draw conclusions about, while the sample is the group of individuals that you actually survey. In this situation, the population of interest is the total number of people who go to the mall, as this is the group that we want to make inferences about.

The sample is the first 75 people who entered the mall and were asked about their favorite restaurant in the food court. This sample was likely selected in a way that is meant to be representative of the larger population of mall-goers. However, it's worth noting that the sample is still a subset of the population, and therefore there is some risk of sampling error. For example, if the first 75 people who entered the mall were all from the same demographic group, the survey results might not be representative of the larger population.

Overall, it's important to be clear about the population and sample when conducting a survey, as this helps to ensure that the results are meaningful and accurate.

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Expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72.[/tex]

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity. It can consist of constants, variables, arithmetic operators, and other mathematical functions or operations.

The expression [tex]162x^2 - 72[/tex] can be factored using the difference of squares formula: [tex]a^2 - b^2 = (a+b)(a-b)[/tex].

First, we can factor out 18 from the expression:

[tex]162x^2 - 72 = 18(9x^2 - 4)[/tex]

Now, we can apply the difference of squares formula by setting a = 3x and b = 2:

[tex]9x^2 - 4 = (3x)^2 - 2^2 = (3x + 2)(3x - 2)[/tex]

Substituting this back into the original expression, we get:

[tex]162x^2 - 72 = 18(9x^2 - 4) = 18(3x + 2)(3x - 2)[/tex]

Therefore, expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72[/tex].

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we get the quotient as 161 and remainder as 11.So the missing numbers are:R = 11

9, 1, 6

First divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.

To divide 5,472 by a two-digit number, we can use long division method as follows:

34) 5 4 7 2( 34

   -    4 0

     ______

       1 4 7

  -    1 3 6

      _______

            1 1

Therefore, we get the quotient as 161 and remainder as 11.

So the missing numbers are:

R = 11

9, 1, 6

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The first point to plot on the mean control chart would be at 1.9 at control chart with both limits.

1. There are four measurements in each sample, as shown in the table.

2. To plot the first point on the mean control chart, we need to calculate the mean of the first sample. Adding up the four measurements from the 10:00 am sample (2.0 + 1.8 + 2.0 + 1.8) gives a total of 7.6. Dividing by the number of measurements in the sample (4) gives a mean of 1.9. Since the mean is within the control limits of 1.8 and 2.2, the first point on the chart would be plotted at 1.9.
1. To determine how many measurements are in each sample, we simply count the number of measurements provided for each time.

10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)

Each sample contains 4 measurements.

2. To plot the first point on a mean control chart, we need to calculate the mean of the first sample (10:00 am).

Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4
Mean = 7.6 / 4
Mean = 1.9

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1. There are 4 measurements in each sample.

2. The first point to plot on the mean control chart would be 1.9, corresponding to the 10:00 am sample.

To determine the number of measurements in each sample, simply count the number of values for each time point.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
There are 4 measurements in each sample.
To plot the first point on the mean control chart, calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4 = 7.6 / 4 = 1.9.

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Answer:

[tex] \sqrt{ {9}^{2} + {14}^{2} } = \sqrt{81 + 196} = \sqrt{277} = 16.643[/tex]

YZ =√277. To the nearest tenth, that is 16.6 units.

Yes , it is appropriate to choose normal approximation to calculate the chance of winning at least 10 times out of 75 total plays of game.

Use the normal approximation,

Chance of winning at least 10 times out of 75 total plays of the game,

Conditions for using the normal distribution are met.

Binomial distribution can be approximated by the normal distribution,

The number of trials 'n' is large enough usually n > 30.

The probability of success 'p' is not too close to 0 or 1.

The trials are independent.

Here,

n = 75 trials and p = 0.15 probability of winning.

To check if the normal approximation is appropriate,

Calculate the mean and standard deviation of the binomial distribution,

mean = n × p

         = 75 × 0.15

         = 11.25

Standard deviation

= √(n × p × (1 - p))

= √(75 × 0.15 × 0.85)

= 3.09

Mean is 11.25 and the standard deviation is 2.44.

The condition for independence is satisfied since each play is independent of the others.

If the other two conditions are met,

Check if np and n(1-p) are both greater than or equal to 10,

np = 75 × 0.15

    = 11.25

n(1-p) = 75 × 0.85

         = 63.75

Both np and n(1-p) are greater than or equal to 10,

So the conditions for using the normal approximation are satisfied.

Therefore, it is appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game.

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The expression used  to calculate the surface area of the rectangular prism is given by option b. 2×6 + 2×10 + 2×15.

Let us consider 'l' be the length of the rectangular prism.

'w' be the width of the rectangular prism .

'h' be the height of the rectangular prism.

From the attached figure we have,

Length of the rectangular prism l = 3 units

Width of the rectangular prism w = 2 units

Height of the rectangular prism h = 5 units

Surface of the rectangular prism = 2(lw + wh + hl )

Substitute the values in the formula we get,

⇒Surface of the rectangular prism = 2 (3×2 + 2×5 + 5×3 )

⇒Surface of the rectangular prism = 2 ( 6 + 10 + 15)

⇒Surface of the rectangular prism = 2×6 + 2×10 + 2×15

Therefore, the surface area of the rectangular prism with given dimensions is equal to option b. 2×6 + 2×10 + 2×15.

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The above question is incomplete, the complete question is:

Which expression can be used to find the surface area of the following rectangular prism?

Attached figure.

Therefore, the first term of the sequence is 3.

A sequence is an ordered list of numbers, usually generated by a pattern or a rule. Each number in the sequence is called a term, and the position of a term in the sequence is called its index. Sequences can have a finite or infinite number of terms, and they can be defined in various ways, such as recursively (where each term is defined in terms of the previous terms) or explicitly (where the formula for each term is given).

Here,

The given sequence is an arithmetic sequence, where the common difference between consecutive terms is 4. To find the first term, we can use the formula for the nth term of an arithmetic sequence, which is:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, n is the position of the term in the sequence, and d is the common difference.

For this sequence, we know that a6 = 23 (since 23 is the last term given in the sequence), n = 6, and d = 4. Substituting these values into the formula, we get:

a6 = a1 + (6 - 1)4

23 = a1 + 20

a1 = 23 - 20

a1 = 3

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Complete question:

What’s the first term for the given sequence: 3, 7, 11, 15, 19, 23?

Answer:

460.46

Step-by-step explanation:

If a fence costs $2.99 per foot, the cost of the feence will be 154(2.99) = $460.46

How to find the area of the circular flour

The formula for finding the area of a circle is expressed as:

A = πr²

r is the radius of the circle

Given that r = 7 feet

A = π(7)²

A = 49 * 22/7

A = 22 * 7

A = 154 square feet

If a fence costs $2.99 per foot, the cost of the fence will be 154(2.99) = $460.46

The probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69.

Since a person with type B blood can safely receive blood transfusions of type O and type B blood, the fourth donation selected at random must be either type O or type B blood. From the information given, the probability of the fourth donation being type O blood is 49%, and the probability of it being type B blood is 20%. Therefore, the probability that the fourth donation can be safely used in a blood transfusion on someone with type B blood is:

P(type O or type B) = P(type O) + P(type B) = 0.49 + 0.20 = 0.69

So, the probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69 (rounded to the nearest thousandth).

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A description of the distribution of the values of a random variable and their associated probabilities is called a probability distribution. The correct answer is a.

A probability distribution is a mathematical function that describes the possible values of a random variable and the likelihood of each value occurring. It provides a complete description of the probabilities of all possible outcomes of a random experiment or event.

Probability distributions can be classified into two types: discrete probability distributions and continuous probability distributions. Discrete probability distributions are used when the possible outcomes of a random variable are countable or finite, such as the number of heads in a coin toss.

Continuous probability distributions, on the other hand, are used when the possible outcomes of a random variable are infinite, such as the time it takes for a person to complete a task.

Probability distributions are used in various fields, such as statistics, finance, engineering, and science, to model and analyze random phenomena and make predictions about future events. They are an essential tool for understanding uncertainty and making informed decisions based on probabilistic outcomes.

The correct answer is a.

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The area of the cement part is 24 m².

Area is the region bounded by a plane shape.

To calculate the area of the part with cement. we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area is 24 m².

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Answer:

I would say convenience sampling. It's hard to tell. Sampling every other person is like systematic sampling, BUT convenience sampling would be to sample people that are easy to reach.

Answer:

which equation i cant see a question or a photo of question

Answer:

3(12x+6y)

6(6x+3y)

9(4x+2y)

Answer:

Here are three equivalent expressions to 36x + 18y:

18(2x + y)

9(4x + 2y)

6(6x + 3y)

Step-by-step explanation:

193.18 quarts of ice cream are needed to make 922 milkshakes.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

A proportion is an equation that sets two ratios at the same value.

To find the number of quarts needed to make 922 milkshakes, we can set up a proportion:
22 quarts / 105 milkshakes = x quarts / 922 milkshakes

Cross-multiply:
[tex]22\times 922 = 105 \times x[/tex]
Calculate the products:
[tex]22 \times 922 = 105 \times x[/tex]

Divide by 105 to solve for x:
[tex]20284 \times 105 = x[/tex]
Calculate the quotient:
[tex]20284 \times 105 = x[/tex]

Therefore, approximately 193.18 quarts of ice cream are needed to make 922 milkshakes.
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Answer: A

Explanation:

Step-by-step explanation:

where is. the. polynomial.

If the two figures are not related by a dilation with center and scale factor

of 2, followed by a reflection over a line, then Elena's method is not correct. therefore given statement is false.

Elena is claiming that they are similar, and she has shown this by

transforming one figure into the other through a dilation with center and

scale factor of 2, followed by a reflection over a line.

If this is the case, then Elena's method is correct if and only if the two

figures are related by a dilation with center and scale factor of 2,

followed  by a reflection over a line.

A dilation with center and scale factor of 2 will result in a figure that is

twice as large as the original figure, with corresponding sides multiplied

by a factor of 2. If the dilation is followed by a reflection over a line, then

the resulting figure will be similar to the original figure, with

corresponding angles equal and corresponding sides proportional.

However,  In general, two figures are similar if and only if their

corresponding angles are equal and their corresponding sides are

proportional.

There are many ways to show that two figures are similar, including using

transformations such as dilation and reflection, but the specific

transformations used must be appropriate for the figures in question.

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The exponential function that represents the number of new participants as a function of the day number is:

f(x) = 12 * 4ˣ

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

Let's assume that each person who receives a selfie and accepts the challenge sends selfies to 4 new friends the next day.

Then, the number of new participants on Day 1 will be the number of friends that Aliyah, Kim, and Reese each sent selfies to, which is 4 friends each, or a total of 12 new participants.

On Day 2, the 12 new participants each send selfies to 4 new friends, resulting in 4*12 = 48 new participants.

On Day 3, the 48 new participants each send selfies to 4 new friends, resulting in 4*48 = 192 new participants.

We can see that the number of new participants is growing exponentially, with each new day resulting in a larger number of new participants than the previous day.

To write an exponential function that represents the number of new participants as a function of the day number, we can use the general form of an exponential function:

f(x) = a * bˣ

where a is the initial value (the number of new participants on Day 1), b is the growth factor (the factor by which the number of new participants increases each day), and x is the day number.

In this case, we know that a = 12 (the initial number of new participants) and b = 4 (the factor by which the number of new participants increases each day, since each participant sends selfies to 4 new friends).

Therefore, the exponential function that represents the number of new participants as a function of the day number is:

f(x) = 12 * 4ˣ

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Answer: 32

Step-by-step explanation:

50% of last year is divided by 2 (50/100 = 1/2). 64/2 = 32

The two statements are;

The area of sector 1 is  20n² + 15n square meters

The total distance around the garden is 20n + 2 meters

Option A  and C

The formula for the area of a rectangle is expressed as;

A = lw

Such that the parameters are;

For the first sector, we have that;

Length = 4n + 3

Width = 6n - 2 - 5n = n - 2

Substitute the values

Area of sector 1 = (4n + 3)(5n)

expand the expression

Area of sector 1 = 20n² + 15n square meters

Area for the sector 2

Area = (3n - 3)(n -2)

expand the bracket

Area = 3n² - 6n - 3n + 6 = 3n² - 9n + 6

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To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

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The measure in degrees of the central angle in the circle graph for the people that chose red is 72 degrees.

A central angle is an angle formed by two radii (or rays) that intersect at the center of a circle. It is an angle whose vertex is at the center of the circle, and its sides are the radii that intersect the circle's circumference.

According to the given information:

To find the measure in degrees of the central angle for the people that chose red, we need to calculate the percentage of people that chose red out of the total number of people surveyed, and then convert that percentage into degrees.

Total number of people surveyed = 180 (brown) + 60 (black) + 90 (red) + 120 (blue) = 450

Percentage of people that chose red = (Number of people that chose red / Total number of people surveyed) * 100 = (90 / 450) * 100 = 20%

Now, we can convert the percentage into degrees using the formula for calculating the central angle in a circle graph:

Central angle = (Percentage / 100) * 360

Plugging in the percentage of people that chose red:

Central angle for red = (20 / 100) * 360 = 72 degrees

So, the measure in degrees of the central angle in the circle graph for the people that chose red is 72 degrees.

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The best prediction possible for the number of times the spinner will not land on yellow is 18.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

Assuming that the spinner is fair and all outcomes are equally likely, we can calculate the probability of the spinner not landing on yellow in one spin by adding up the probabilities of all other outcomes, which are green, blue, and red.

The probability of the spinner not landing on yellow in one spin is:

P(not yellow) = P(green) + P(blue) + P(red)

= 1/6 + 1/3 + 1/6

= 1/2

Therefore, the expected number of times the spinner will not land on yellow in 36 spins is:

E(not yellow) = 36 x P(not yellow)

= 36 x 1/2

= 18

So the best prediction possible for the number of times the spinner will not land on yellow is 18. However, it's important to note that this is just a prediction based on probabilities, and the actual number of times the spinner doesn't land on yellow in 36 spins may vary.

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