Use the situation to answer the questions.
Latisha has a new job that pays her weekly. She has arranged for the same amount from
each paycheck to be deposited into her savings account. On week 9, her savings account
has a balance of $496, and on week 16, her savings account has a balance of $664.
6) What does the independent variable x represent in this problem?
7) What does the dependent variable y represent in this problem?

The probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.053. The probability that the investor will double his investment is approximately 0.315.

To find the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu, we need to calculate the probability of exactly 10 successes (perfect executions) out of the first 14 attempts and then the probability of a success on the 15th attempt. Each attempt has an 80% chance of success.

Using the binomial probability formula, the probability of exactly k successes in n attempts, with a success probability p, is given by:

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

In this case, we want to calculate\(P(X = 10) * P(X = 1) = (14 choose 10) * (0.8^10) * (0.2^4) * (0.8^1) = 0.0577 * 0.00016 ≈ 0.0092.\)

Therefore, the probability that Marcus has to make the new dish exactly 15 times before it goes on the menu is approximately 0.0092 or 0.92%.

To calculate the probability that the investor will double his investment, we need to consider the scenario where Marcus attempts the recipe once per day until the meeting. Since he has 6 days left and he has already executed the recipe 5 times successfully, he has 1 remaining attempt.

The probability of a success on the last attempt is 0.8, and the probability of failure is 0.2. Therefore, the probability that the investor will double his investment is P(X = 1) = 0.8.

Hence, the probability that the investor will double his investment is approximately 0.8 or 80%.

The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials. In this case, Marcus's attempts to execute the recipe can be modeled as a binomial distribution since each attempt has a fixed probability of success (80%) and the attempts are independent. By applying the formula, we can determine the probabilities associated with the number of successes and make informed decisions based on those probabilities.

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The process capability, Cp is calculated by dividing the upper specification limit minus lower specification limit by 6 times the process standard deviation.

This is the formula for the process capability.

Cp = (USL - LSL) / (6 * Standard deviation)

Where, Cp is process capability USL is the Upper Specification Limit LSL is the Lower Specification Limit Standard deviation is the process standard deviation.

The extrudate is subsequently cut into individual parts, and the extruded parts have a critical cross-sectional dimension = 12.50 mm with standard deviation = 0.25 mm. The mean of this distribution is the center line of the control chart and the critical cross-sectional dimension 12.50 mm is the target or specification value.

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Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

I recommend that you try practice test questions you find online, as well as anything else regarding the material that you find. Use your resources.

Try online quizzes and flashcards based on the Geometry EOC. Learning formulas and ways to solve problems is a great way to study.

Make sure that you know about the structure of the test, and what the structure of the questions are. This will help you to not be afraid nor surprised at any questions come test day.

Use online study guides that walk you through a lot of the content, there are many schools who have published guides that help studies quite a lot.

Hope this helps.

Answer:

the correct answer is 8. hope this helps

Answer:

3.2t -2.4

Step-by-step explanation:

-3.6 - 1.9t + 1.2 + 5.1t

(add like terms)

3.2t - 2.4

Step-by-step explanation:

(m-3)w²-8w+8=0........colllecting like terms

m+w²-8w=3-8

m-7w=-5

mw=-5+-7

mw=-12

mw/mw=-12/mw.....mw will be cancled out by mw so the answer is -12/mw

Answer:

Negative

Step-by-step explanation:

It going down starting from the left to right . Positive would be the other way around and zero would be side to side while undefined would be an up and down line .

Answer:

Step-by-step explanation:

Answer: B (-1,4)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = \(\frac{-1-3}{2-0}\) = \(\frac{-4}{2}\) = - 2

using (a, b ) = (2, - 1 ) , then

y - (- 1) = - 2(x - 2) , that is

y + 1 = - 2(x - 2)

Answer: A

Step-by-step explanation:

Let the number of rows be x. Then the number of columns will also be x since the problem states that the number of rows is equal to the number of columns.

We know that the total number of saplings collected is 1440. Therefore, the total number of saplings planted will be:

x * x = x^2

However, there was a shortfall of 4 saplings, which means that only 1440 - 4 = 1436 saplings were actually planted. Therefore, we can write:

x^2 = 1436

To solve for x, we take the square root of both sides:

x = sqrt(1436)

Using a calculator, we get:

x ≈ 37.9

Since x must be a whole number (the number of rows and columns cannot be a decimal), we round x down to the nearest integer to get:

x = 37

Therefore, there were 37 rows of saplings planted by the students.

The opposite of being short $4.28 would be having $4.28 or more. That is a surplus or extra of $4.28.

Surplus refers to an amount or quantity that is left over or in excess of what is needed or used. It can refer to various things, such as:

In finance, a surplus refers to an excess of revenue over expenses, or an excess of assets over liabilities. It means having more of something than is necessary or expected.

Therefore, the opposite of being short $4.28 would be having $4.28 or more. This is often referred to as having a surplus or extra of $4.28.

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Answer:

Step-by-step explanation:

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Answer:

i) 4 ii) 9 iii) 16 iv) 25

Step-by-step explanation:

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x5 = 25

Answer:

i) is 2x2 which is 4

ii) is 3x3 which is 9

iii) is 4x4 which is 16

iiii) is 5x5 which is 25

Step-by-step explanation:

the exponent tells you how many times you multiply the base number by itself.

The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes

To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.

Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.

Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax.  Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.

Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows.  If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.

Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,

CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080.  NPV ≈ $824,179.  Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.

Therefore, the answers are:

a. Total outflows: $2,007,901

b. Total inflows: $827,080

c. Net present value: $824,179

d. Should the old issue be refunded with new debt? Yes

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Answer:

Option C

Step-by-step explanation:

x - 3 = 0

Add 3 to both sides;

x = 3

x + 2 = 0

Subtract 2 from both sides;

x = -2

x - 2 = 0

Add 2 to both sides;

x = 2

Answer:

B

Step-by-step explanation:

since 28 is the amount of time it takes for him to mow a lawn, we have to have an answer that involves time, which is B.    

Answer:

x ≥ 89

Step-by-step explanation:

Since Jonathan needs at least an 89, his score must be greater than or equal to an 89.

Answer:

Step-by-step explanation:

Answer: 8 nickels

Step-by-step explanation:

To find the amount of nickels, we can use system of equations. Let's use n for nickel and d for dimes.

Equation 1

n+d=30

This equation comes from the total amount of coins.

Equation 2

0.05n+0.1d=2.6

This equation comes from the worth of the nickels and dimes added together.

To the amount of nickels, we can use elimination method.

0.1n+0.1d=3

0.05n+0.1d=2.6

Now that the dimes are equal, we can subtrace the equations.

0.05n=0.4

n=8

There are a total number of 8 nickels.

The inequality that represents the number of drinks and candies altogether which is no less than 12 will be c + d > 12.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

She must buy no less than 12 drinks and candies altogether.

Let 'c' be the number of candies and 'd' be the number of drinks. Then the inequality is given as,

c + d > 12

The inequality that represents the number of drinks and candies altogether which is no less than 12 will be c + d > 12.

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Step-by-step explanation:

In general, for all problems like this, remember the acronym VOHI:

vertical outside, horizontal inside.

1. The parent function here would be \(f(x)=x^{2}\). 4 has been subtracted from the inside, so it is a horizontal change. You might think that it is moving left 4, but it's actually moving right 4. There is a reason for this, but it's not necessary for you to know right now. All you need to remember is that when inside the parentheses, minus means moving right, and plus means moving left. You also have a 9 added to the outside. Vertical outside. This is a vertical change, meaning up and down. This function has been moved right 4 and up 9.

2. First, the parent function is again \(f(x)=x^{2}\). This time, we have \(\frac{1}{4}\) on the outside of our function. This means it is a vertical transformation. When the value on the outside is > 1, it is a vertical stretch. When the value is between 0 and 1 (0<a<1), it is a vertical shrink. \(\frac{1}{4}\) is between 0 and 1. So, this is a vertical shrink by a factor of \(\frac{1}{4}\). Next, there is a 6 on the inside of the parentheses, meaning a horizontal translation. Remember from problem 1, though, minus=right and plus=left. So, this function has been vertically shrunk by \(\frac{1}{4}\) and moved left 6.

3. Again, parent function: \(f(x)=x^{2}\). This one just has \(\frac{3}{2}\) on the outside. We know that it's on the outside because otherwise there would be parentheses around both \(\frac{3}{2}\) and x. There is not, so it is outside. Outside, vertical. This is a vertical change. Looking back at problem two, when a value is >1, which this is, it is a vertical stretch. So this function has a vertical stretch by \(\frac{3}{2}\).

I hope this helps!

Transformation involves changing the position and/or size of a function.

The transformations are:

\(\mathbf{1.\ f(x) = (x - 4)^2 +9}\)

The above function is a square function, and the parent function is:

\(\mathbf{f(x) = x^2}\)

First, the function is translated right by 4 units (this is represented by subtracting 4 from x.

i.e.

\(\mathbf{f(x) = (x - 4)^2}\)

Next, the function is translated up by 9 units (this is represented by adding 9 to the value of y.

i.e.

\(\mathbf{f(x) = (x - 4)^2 + 9}\)

So, the transformation from the parent function is: Translate f(x), 4 units right, and 9 units up.

\(\mathbf{2.\ f(x) = \frac 14(x + 4)^2}\)

The above function is a square function, and the parent function is:

\(\mathbf{f(x) = x^2}\)

First, the function is translated left by 4 units (this is represented by adding 4 from x.

i.e.

\(\mathbf{f(x) = (x + 4)^2}\)

Next, the function is vertically compressed a factor of 1/4 (this is represented by multiplying the function by 1/4

i.e.

\(\mathbf{f(x) = \frac 14(x + 4)^2}\)

So, the transformation from the parent function is: Translate f(x), 4 units left, then compress f(x) vertically by 1/4

\(\mathbf{3.\ f(x) = \frac 32x^2}\)

The above function is a square function, and the parent function is:

\(\mathbf{f(x) = x^2}\)

The function is vertically stretched a factor of 3/2 (this is represented by multiplying the function by 3/2

i.e.

\(\mathbf{f(x) = \frac 34 \times x^2}\\\)

\(\mathbf{f(x) = \frac 34 \timex x^2}\)

So, the transformation from the parent function is: Vertically stretch f(x) by 3/2

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Answer:

Square root of 100.  

Step-by-step explanation:

Step-by-step explanation:

We can write 10 as a fraction 10/1, therefore,\(\sqrt{}\)100   is a rational number.

Part A : A rational no. between 5.2 and 5.5 is 5.3.  

It is rational because it can be expressed in the form  

p/q where p and q are integers and q is not equal to 0, which is 53/10

Part B: A rational no. between 5.2 and 5.5 is 5.29150262213

An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.

Answer:

Step-by-step explanation:

Square root of all prime numbers is irrational.

97 is an prime number. So √97 is an irrational number.

√98 = \(\sqrt{2*7*7}=7\sqrt{2}\)  is an irrational number.

\(\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}\) is an irrational number

√100 = 10 is a rational number.

Part A:

5.3 is a rational number.

Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal

Part B:

5.3020050......

Irrational numbers are non terminating non repeating numbers

Answer:

not congruent

Step-by-step explanation:

Triangle is a polygon shape with three sides and three angles. There are different types of triangles such as obtuse triangle, scalene triangle, equilateral triangle an isosceles triangle.

Two triangles are said two be congruent if all the the three sides as well as the three angles are equal.

Triangle DEF and triangle ABC would be congruent if their sides are equal. Given that for triangle DEF, DE = 12, EF = 6, and DF = 8 while for triangle ABC in the image attached we can see that one side = 6, the other side= 8. The length of the third side is gotten using distance formula:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\Distance=\sqrt{(12-4)^2+(14-8)^2} =10\)

Since the last side = 10 which is not equal to 12, hence  triangle DEF is not congruent to triangle ABC

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

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The resistance of the clock is 30 ohms.

To calculate the resistance (R) of a clock, we can use Ohm's Law, which states that the resistance is equal to the voltage (V) divided by the current (I).

In this case, the current is 0.30 A and the voltage is 9.0 V.

Using the formula:

R = V / I

R = 9.0 V / 0.30 A

R = 30 Ω

Therefore, the resistance of the clock is 30 ohms.

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Applying ratios, the length of segment EG is: 6.

Since the ratio of DE:EF:FG is 4:2:1, we know that DE =4x, EF = 2x, and FG = x, where x is some value. We also know that DG = DE+EF+FG, so we can set up the equation:

14 = 4x + 2x + x

Simplifying, we get:

14 = 7x

Dividing both sides by 7, we find that x = 2.

So, DE = 4x = 4(2) = 8, EF = 2x = 2(2) = 4, and FG = x = 2.

EG = EF + FG = 4 + 2 = 6.

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