Christopher had $125 in his savings account to buy a used car. He deposits $50 every week.
a. Write an equation for the amount in his savings, where A is the amount in his savings and w is the
week's deposits.
b. What is the slope of the line?
C.
What does the slope represent in in this problem?
d. How much money will Christopher have in his savings account after depositing for 13 weeks?

Answer:

second one

Step-by-step explanation:

Answer:

r=-36

Step-by-step explanation:

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   \(=\frac{77.5-80}{25} \\= 0.1\)

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

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The required answer is the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.

Based on the given information, the bottlers of "Guzzle" are experiencing issues with the filling mechanism for their 16oz bottles. To estimate the population standard deviation of the volume, the filled volume for 20 bottles was measured, yielding a sample standard deviation of 0.1oz.
To compute a 95% confidence interval for the standard deviation, we can use the formula:

CI = ( (n-1) * s^2 / X^2_α/2, (n-1) * s^2 / X^2_1-α/2 )

Where CI is the confidence interval, n is the sample size (in this case, 20), s is the sample standard deviation (0.1oz), X^2_α/2 is the chi-squared value for the upper tail of the distribution with α/2 degrees of freedom (where α = 0.05 for a 95% confidence interval), and X^2_1-α/2 is the chi-squared value for the lower tail of the distribution with 1-α/2 degrees of freedom.
Using a chi-squared table or calculator, we can find that X^2_α/2 = 31.410 and X^2_1-α/2 = 10.117.
Plugging in the values, we get:
CI = ( (20-1) * 0.1^2 / 31.410, (20-1) * 0.1^2 / 10.117 )
Simplifying, we get:
CI = (0.0054, 0.0197)
Therefore, we can say with 95% confidence that the population standard deviation of the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.

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95% of 3 is 2.85 liters

1 ml = 1000 liters so divide the amount it’s emptied by 1000

40/1000 ml/s

Multiply the emptied rate by x ( number of seconds) and subtract that from starting amount:

W(x) = 2.85 - (40/1000)x

Answer:

95% of 3 is 2.85 liters

Hey there! :)

Answer:

v = -16.

Step-by-step explanation:

Given:

-2 = 2 + v/4

Subtract 2 from both sides:

-2 -2 = 2 - 2 + v/4

-4 = v/4

Multiply both sides by 4:

-4 · 4 = v/4 · 4

-16 = v

Answer:

\(\frac{12}{5}\)

Step-by-step explanation:

4/5x=3/10(x+4)  / · 10

8x=3(x+4)

8x=3x+12

8x-3x=12

5x=12  /:5

x=12/5

Answer:

B. \(11x^2\)

Step-by-step explanation:

Monomials are expressions that only have one term. In A, \(\frac{9}{x}\), can actually be rewritten as 9 ÷ \(x\), which is also two terms. Therefore, B is the only other option.

The probability that the auto dealer will need to order more new transmissions is the sum of the probabilities of having 3, 4, 5, 6, or 7 defective transmissions among the seven trucks sold.

To calculate the probability that the auto dealer will need to order more new transmissions, we can use the binomial probability formula.

Given that the probability of a defective transmission is \(20\%\) (or 0.2), and the dealer has sold seven trucks with two new transmissions in stock, we want to find the probability of having more than two defective transmissions among the seven sold.

Let's denote X as the number of defective transmissions among the seven sold. We need to calculate \(\(P(X > 2)\).\)

Using the binomial probability formula, we can calculate the probability of X using the following formula:

\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)

Where:

\(- \(\binom{n}{k}\)\) is the number of combinations of choosing \(\(k\)\) items from a set of n items.

- p is the probability of success (defective transmission).

- n is the total number of trials (number of trucks sold).

To calculate \(\(P(X > 2)\),\) we need to sum the probabilities of having 3, 4, 5, 6, or 7 defective transmissions.

\(\[P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)\]\)

Now let's calculate each term and sum them:

\(\[P(X = 3) = \binom{7}{3} \cdot (0.2)^3 \cdot (0.8)^{7 - 3}\]\[P(X = 4) = \binom{7}{4} \cdot (0.2)^4 \cdot (0.8)^{7 - 4}\]\[P(X = 5) = \binom{7}{5} \cdot (0.2)^5 \cdot (0.8)^{7 - 5}\]\[P(X = 6) = \binom{7}{6} \cdot (0.2)^6 \cdot (0.8)^{7 - 6}\]\[P(X = 7) = \binom{7}{7} \cdot (0.2)^7 \cdot (0.8)^{7 - 7}\]\)

Finally, we sum these probabilities to get the desired result:

\(\[P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)\]\)

Calculating these probabilities will yield the probability that the auto dealer will need to order more new transmissions.

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Answer:

C, 90 years

Step-by-step explanation:

You just do 6 times 5, the amount of people, and find out the amount of years.

Hi there! :)

\(\large\boxed{x = -6}\)

Solve for x:

4x + (-3) = 5x + 3

Adding a negative number is simply subtracting, therefore:

4x - 3 = 5x + 3

Subtract 4x from both sides:

4x - 4x - 3 = 5x - 4x + 3

-3 = x + 3

Subtract 3 from both sides:

-3 - 3 = x + 3 - 3

-6 = x

Answer:

\(x=-6\)

Step-by-step explanation:

Isolate the variable.

\(4x+(-3)=5x+3\)

\(4x=5x+6\)

\(0=x+6\)

\(x=-6\)

Hope this helps!

Answer:

A. 144

Step-by-step explanation:

Since 12 was multiplied by 8, you also multiply 18 by 8, which equals 144.

The hotel should overbook enough rooms to maximize revenue without incurring expensive costs due to last-minute cancellations. To determine the optimal number of rooms to overbook, consider the following:

1. The average number of cancellations is 5 with a standard deviation of 3.
2. The average room rate is $80.
3. The cost of accommodating overbooked customers in a nearby hotel is $200.

Using these figures, the hotel can calculate the expected revenue for each room overbooked, while considering the risk of cancellations. The best approach is to use a probabilistic model, such as the normal distribution, to estimate the optimal number of rooms to overbook based on these statistics.

A detailed analysis would require further calculations and simulations, which are beyond the scope of this answer. However, a basic guideline for the hotel would be to overbook only a few rooms (e.g., 1-3) to minimize the risk of incurring the high cost of accommodating customers in nearby hotels while still maximizing the revenue from potential cancellations.

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The parametric equations for the tangent line to the curve at the point (0, 6, 1) are x(t) = 2t, y(t) = 6 + 6t, and z(t) = 1 + 5t.

To find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point (0, 6, 1), we first need to find the derivatives of x, y, and z with respect to t. Given x = 2 ln(t), y = 6t, and z = t^5, we have:

dx/dt = 2/t
dy/dt = 6
dz/dt = 5t⁴

Next, we need to find the value of t that corresponds to the point (0, 6, 1) on the curve. Since x = 2 ln(t) and x = 0, we have:

0 = 2 ln(t)
ln(t) = 0
t = e⁰ = 1

Now, we can find the tangent vector at t = 1:

(dx/dt, dy/dt, dz/dt) = (2, 6, 5)

Finally, we can write the parametric equations for the tangent line as:

x(t) = 0 + 2t
y(t) = 6 + 6t
z(t) = 1 + 5t

So the parametric equations for the tangent line to the curve at the point (0, 6, 1) are x(t) = 2t, y(t) = 6 + 6t, and z(t) = 1 + 5t.

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A sample estimator is unbiased if, on average, it gives an estimate of the population parameter that is equal to the true value of the parameter. The correct option is (b) having an unbiased estimator.

An estimator is a statistical function used to estimate an unknown parameter of a population based on a sample of data. A sample estimator is unbiased if, the expected value of the estimator is equal to the true population parameter.

If a sample estimator overestimates the population parameter in some cases and underestimates it in others, the overestimations and underestimations may cancel each other out on average. In this case, the estimator is unbiased, meaning that it provides estimates that are, on average, neither too high nor too low, it means that the estimator does not systematically overestimate or underestimate the true population parameter. The correct answer is (b).

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Match the Data Visualisation terms as follows:

1. Numpy: Working with arrays and matrices.

2. Bar chart: Representing categorical data with rectangular bars.

3. Pip: Package installer for Python.

4. S: Statistical library for Python.

The following are the meanings of the given terms:

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Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.

b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.

c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

okay so the way your going to set this up is backwards because you already know your hypotenuse. 65^2 = 25^2 + b^2. So its 24 feet

Step-by-step explanation:

Answer:

40 [adv] and 25 [same-d].

Step-by-step explanation:

1) suppose, the number of advance ticket is 'a', of same-day is 's', then

2) total number of sold ticket is 65, that is: a+s=65 - this is the first equation of system;

3) and the price of the all sold advanced tickets is 35a, the price of the all sold same-day tickets is 20s, then the total price is: 35a+20s=1900 - this is the second equation of system;

4) it is possible to make up and solve the system of two equations:

\(\left \{ {{a+s=65} \atop {35a+20s=1900}} \right. \ => \ \left \{ {{4a+4s=260} \atop {7a+4s=380}} \right. \ => \ \left \{ {{a=40} \atop {s=25}} \right.\)

5) finally, 40 advanced and 25 same-day tickets were sold.

Hello.. How are you??

Yes, relational operators compare operands and return a Boolean value of true or false depending on whether the comparison is true or false.

Relational operators are used to compare two values and they include:

> greater than

< less than

>= greater than or equal to

<= less than or equal to

== equal to

!= not equal to

For example, the expression 5 > 3 would evaluate to true, while the expression 5 < 3 would evaluate to false. Similarly, the expression 4 == 4 would evaluate to true, while the expression 4 != 4 would evaluate to false. These operators are commonly used in conditional statements, loops, and other parts of a program where a comparison between values is required.

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The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).

The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.

To calculate the correlation coefficient, we can use the formula:

r = sqrt(SSR/SST)

From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:

r = sqrt(12,323.64/13,538.4) = 0.9541

Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable

Complete Question:

Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541

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Answer:

1

Step-by-step explanation:

The value of sin(pi/2) is equal to 1.

Answer:

1

Step-by-step explanation:

pi = 180

pi/2 = 90

sin 90 = 1

Answer:

The given expression is not a complete equation or function. It seems like a linear function, but it is missing an input variable and an equal sign.

A linear function in the form of y = mx + b, where y is the output, x is the input, m is the slope, and b is the y-intercept.

Without the input variable, we cannot evaluate the function. Can you please check if you have provided the complete equation or function?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

-36

Step-by-step explanation:

Answer:

-4 is closer to the number 0.

Answer:

--------------------

Use the Inscribed Angle theorem, which states that:

Find the angle measure of ∠PNM, considering the intercepted arc is PLM: