What is the simplest form of 3/3/8 + 5/12 help pleaseeee

The interest paid on a loan can be calculated using the formula:
Interest = Total Payment - Principal

To find the total payment, we need to determine the number of payments and the payment amount.

In this case, the loan was repaid in five years with end-of-quarter payments of $1200.

Since there are four quarters in a year, the number of payments is 5 * 4 = 20.

The interest rate is given as 9.5% compounded semi-annually. To calculate the payment amount, we need to convert the annual interest rate to a semi-annual interest rate.

The semi-annual interest rate can be calculated by dividing the annual interest rate by 2. In this case, the semi-annual interest rate is 9.5% / 2 = 4.75%.

Next, we can use the formula for calculating the payment amount on a loan:

Payment Amount = Principal * \(\frac{(r(1+r)^n)}{((1+r)^{n - 1})}\)

Where:
- Principal is the initial loan amount
- r is the semi-annual interest rate expressed as a decimal
- n is the number of payments

Since we are looking to find the interest paid, we can rearrange the formula to solve for Principal:

Principal = Payment Amount * \(\frac{((1+r)^n - 1)} {(r(1+r)^n)}\)

Substituting the given values, we have:

Principal = $1200 * \(\frac{ ((1 + 0.0475)^{20} - 1)} {(0.0475 * (1 + 0.0475)^{20})}\)

Calculating this expression gives us the Principal amount.

Finally, we can calculate the interest paid by subtracting the Principal from the total payment:

Interest = Total Payment - Principal
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The diameter of the circle is 24 cm.

The radius of the circle is calculated by applying Pythagoras theorem as shown below.

The radius of the circle = QM

The radius of the circle is calculated as follows;

QM² = MP² - PQ²

QM² = 20² - 16²

QM² = 144

QM = √ 144

QM = 12 cm

The diameter of the circle is calculated as follows;

diameter = 2 x radius

diameter = 2 x 12 cm

diameter = 24 cm

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Answer:

And line passes through the point (-6,5). we get y=mx+b => 5 = -4(-6)+b => b = 5-24 => b=-19.

Step-by-step explanation:

The equation of the line that passes through the given point is y=6/5 x + 2.

Given that, the line that passes through the point (5, -2) and has a slope of 6/5.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Put m=6/5 and (5, -2) in y=mx+c, that is

-2 = 6/5 × (-2) + c

⇒ -2 = -12/5 + c

⇒ -10 = -12 + c

⇒ c = 2

Put m=6/5 and c=2 in y=mx+c, we get

y=6/5 x + 2

Therefore, the equation of the line that passes through the given point is y=6/5 x + 2.

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The dependent variable is Muscle mass.

An analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass.

She collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression.

Given information,

We get that muscle mass depends positively on protein powder and muscle mass depends negatively on long-distance running.

This implies that Muscle mass is a dependent variable.

Therefore, The correct option is option B.

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Incomplete Question:

an analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression. what is the dependent variable?

Therefore , the solution of the given problem of graphs comes out to be  graph of y  = 2ˣ .

Graphs are used by theoretical physicists to visually or analytically vertices chart assertions rather than values. Typically, a graph point shows the relationship between several different objects. A graph is a particular kind of  train assembly consisting of groups and lines. The networks, also known as the borders, should be joined with glue. The edges of this network had the digits 1, 2, 3, and 4, along with the numerals (2.5), (3.5),

Here,

y =  logₐ(x); logarithmic function (x)

The matching points that must appear on the graph x = bx can be found using the procedure below.

Step 1: In the equation  

=> x = bˣ

=> 2= b¹

=> b =2

replace (2,1) with the value of x and y.

Step 2: Now change the number of b in the equation to make

=> y = 2ˣ

Step 3: The above equation becomes y=2 at (x = 1).

Step 4 - The equation (2) becomes: at (x = 2)

Step 5 - The equation (2) becomes: y = 16 at (x = 4)

The graph of y  = 2ˣ

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The required equation of the set of all points from which there are two tangents to the ellipse with slopes that are negative reciprocals is:

r = a / √(a² / (a² + b²) + (1 - cos²(n π / 4))).

An ellipse is a cross-section part of a cone structure when cutting it out a horizontal cross-section of a cone.

(x-h)²/a² + (x-k)²/b² = 1 (h,k) = centre of the ellipse. a, b = semi-minor or major axis,

The equation of the set of all points from which there are two tangents to the ellipse x²/a² + y²/b² = 1, with slopes that are reciprocals can be obtained by finding the polar equation of the ellipse and then determining the points of tangency.

For the polar equation of the ellipse, we use the transformation x = a cos(θ), y = b sin(θ). The equation of the ellipse then becomes:

a² cos2(θ) + b² sin2(θ) = a2

Rearranging, we have:

cos²(θ) = a² / (a² + b²)

So the polar equation of the ellipse is:

r = a / √(a² / (a² + b²) + sin²(θ)) = a / √(a² / (a² + b²) + (1 - cos²(θ)))

Next, we find the points of tangency by taking the partial derivative of the polar equation with respect to θ and setting it equal to zero:

∂r / ∂θ = 0

Solving for θ, we find that the tangent points occur at θ = (2n + 1) π / 4, where n is an integer.

So the equation of the set of all points from which there are two tangents to the ellipse with slopes that are reciprocals is the polar equation of the ellipse at these tangent points:

r = a / √(a² / (a² + b²) + (1 - cos²((2n + 1) π / 4)))

For the case of negative reciprocals, the tangent points occur at θ = n π / 4, where n is an integer. So the equation of the set of all points from which there are two tangents to the ellipse with slopes that are negative reciprocals is:

r = a / √(a² / (a² + b²) + (1 - cos²(n π / 4)))

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Answer:

15,750 meters

Step-by-step explanation:

There are 1000 meters in a kilometer

.75 of a kilometer is 750 meters

There are 7 days in a week, 7x3 is 21.

750 x 21 = 15,750

Answer:

15750meters

Step-by-step explanation:

3 weeks=3x7

=21days

1day=0.75km

21days=21x 0.75

=15.75km

1km=1000m

15.75km=(1575/100 x 1000)m

=15750meters

Answer:

∠F = 19.5

Step-by-step explanation:

180 - 127 - 33.5 = 19.5

Answer: D; B

Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Answer:

K is -1 12/55

Step-by-step explanation:

You take 3 2/11 minus 4 2/5 to get -1 12/55. If you want to make sure, you add 4 2/5 and -1 12/55. The answer will be 3 2/11

The probability that a brook trout's length exceeds the mean is 0.50.

One of the benefits of normal distributions is that we can find probabilities without being given the parameters of the distribution. This is achieved provided that we know the number of standard deviations from the mean the value of the random variable that delimits the indicated interval is.

We are given;

Distribution of length of a Colorado brook trout; Normal Distribution

Now, we want to find the likelihood of a value greater than the mean is 0.50.

We also know that if it is seen that the shape of the data is almost like a bell shape, then the data will be considered to have a normal distribution.

Thus, by the property of a normal distribution, the probability is 0.50.

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The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

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1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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The graph passes through the point (0, 2), which is the y-intercept, and it increases rapidly as x increases, since the base is 3. As such, the graph of the given function is exponential with a base of 3 and a coefficient of 2.

The given function is f(x)=2(3)x, which can be written as f(x)=2(3)x . In this function, the base is 3, and the coefficient is 2. To graph this function, we can use a table of values to plot the points and connect them with a smooth curve.

First, we will choose a few values for x and find their corresponding values for y using the function. Let's choose x values of -1, 0, and 1, and find the corresponding y values. We get:

f(-1)=2(3)-1=2/3
f(0)=2(3)0=2
f(1)=2(3)1=6

Therefore, the table of values for the given function f(x) is as follows:

x f(x)
-1 2/3
0 2
1 6

Now, we can plot these points on a graph with the x values on the horizontal axis and the y values on the vertical axis. The points are (-1, 2/3), (0, 2), and (1, 6). We can then connect these points with a smooth curve to get the graph of f(x)=2(3)x as shown in option A.

The graph passes through the point (0, 2), which is the y-intercept, and it increases rapidly as x increases, since the base is 3. As such, the graph of the given function is exponential with a base of 3 and a coefficient of 2.

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Answer:

x<−7

Step-by-step explanation:

5x−4<−39

Add 4 to both sides.

5x<−39+4

Add −39 and 4 to get −35.

5x<−35

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x< -35/5

Divide −35 by 5 to get −7.

x<−7

Answer:

  x < -7

Step-by-step explanation:

You want to solve the inequality 5x -4 < -39.

Identify the term containing the variable, and the constant on that side of the equation. Add the opposite of that constant to both sides of the equation. (Variable term: 5x; constant there: -4.)

  5x -4 +4 < -39 +4

  5x < -35

Note that the coefficient of x is positive. Divide both sides of the equation by that number. (x coefficient: 5)

  (5x)/5 < (-35)/5

  x < -7

Because the number we divided by is positive, we do not need to adjust the direction of the inequality symbol. (If we multiply or divide by a negative number, the direction must be reversed.)

The solution is x < -7.

__

Additional comment

Multiplication or division by a negative number changes the ordering:

  1 < 2

  -1 > -2 . . . . . both numbers multiplied (or divided) by -1

There are other operations you can do that change the ordering, too. This is the one most commonly encountered.

Answer:

r = 5 miles

Step-by-step explanation:

\(Radius (r) = ?\\Volume = 392.5\\Height (h) = 15\\ V = \frac{1}{3}*pi*r^{2} *h\\392.5= \frac{1}{3} * 3.14 *r^{2} *15\\392.5 * 3 = 1* 3.14 * r^{2} *15\\1,177.5 = 47.1r^{2} \\Divide - both - sides - of -the - equation by 47.1\\r^{2} = 25\\Square -root-both-side-to-eliminate-the-square\\\sqrt{r}^{2} =\sqrt{25} \\r = 5\\r =5 miles\)

Answer:

1/15

Step-by-step explanation:

Total = 6 bottles

1 orange and apple

Without replacement:

P(orange and apple) = 1/6 x 1/5 = 1/15

Answer: Probability = 1/15

Answer:

SOLUTION: A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles. If you divide 45 and 60 by 15, you get 3 and 4, and the hypotenuse is 5.

Answer:

ya

she's right sjjshxjdhsjsudujdjsjsjsjzizjshha

Answer:

1.2^24/1.4^18

Step-by-step explanation:

(1.4^3/1.2^4)^-6 = 1.4^-18/1.2^-24 = 1.2^24/1.4^18

Hope this helps. :)

Answer:D or C

Step-by-step explanation:

The probability that exactly two of the four persons selected live in their own household and are income-qualified is approximately 0.1075 or 10.75%.

Probability of success (p): The probability that a person selected from the population lives in their own household and is income-qualified. From the given information, p = 0.84.

Probability of failure (q): The probability that a person selected from the population does not live in their own household and is not income-qualified. Since q is the complement of p, we have q = 1 - p = 1 - 0.84 = 0.16.

Number of trials (n): We are selecting four persons from the population, so n = 4.

Number of successes (k): We want exactly two persons to live in their own household and be income-qualified, so k = 2.

Now we can calculate the probability using the binomial probability formula:

P(X = k) = C(n, k) * p^k * q^(n-k)

where C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! * (n-k)!).

Plugging in the values, we get:

P(X = 2) = C(4, 2) * (0.84)²* (0.16)⁽⁴⁻²⁾

Calculating the binomial coefficient:

C(4, 2) = 4! / (2! * (4-2)!) = 4! / (2! * 2!) = 6.

Substituting the values:

P(X = 2) = 6 * (0.84)² * (0.16)⁽⁴⁻²⁾

Calculating the result:

P(X = 2) = 6 * 0.84² * 0.16²

= 6 * 0.7056 * 0.0256

= 0.1075 (approximately)

Therefore, the probability that exactly two of the four persons selected live in their own household and are income-qualified is approximately 0.1075 or 10.75%.

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Answer is 10

Explaination:

10x3=30

30-4=26

Perimeter = length times 2 + width times 2

26 x 2= 52

10 x 2= 20

52+20=72

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Answer:

1/3

Step-by-step explanation:

differentiate first equation to get t , then replace t with 1/3

The model assumption are satisfied in histogram, residuals vs order of collection and residuals vs fitted values.

HIstogram

We can see from the histogram that the residuals are normally distributed, so the assumption that the errors are normally distributed is met.

residuals vs. the fitted values

We find a circular pattern where the errors are concentrated based on the residuals vs. the fitted values. indicating a breach of the assumption of equal variance (homoscedasticity). There is another nonlinear pattern that should be investigated.

Residuals vs. Order of collection

: Because the residuals are randomly distributed, the assumption of equal variance of the residuals is not violated.

Residuals vs. gestational length

A The gear concentration of the residuals in the shape of an oval indicate additional signals from the data that have not been modelled. As a result, the assumption of equal variance of the residuals is violated, and it may also indicate a nonlinear relationship between the dependent and independent variables. This problem can be solved by taking the log of the independent variable and normalising the data.

Parity vs. residuals

Because this is a binary variable, the plot provides no clear indication.

Residuals vs. mother's height

There is a clear oval pattern visible, indicating that the variable is violated.

Residuals vs. mother's weight

There is a clear oval pattern visible, indicating that the variable is violated.

Smoking vs. Residuals

Because this is a binary variable, the plot provides no clear indication.

Overall, this is the next step. We must examine the variables for multicollinearity. Because the residuals histogram is normally distributed, but the residuals vs fitted values has a violation.

We must determine whether the independent variables are correlated with one another. If they are correlated, we must discard the one that is least correlated with the target variable.

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The posterior probability of having cogscitis, given a positive test result from Test 2, is 0.0094 or about 0.94%. This indicates that even though you had a positive Test 2 result, the likelihood that you actually have CNS inflammation is still extremely low less than 1%.

With your positive test result from Test 2, we must apply Bayes' theorem to get Doctor B's posterior probability that you have cogscitis, which is:

P(A|B) = P(B|A) * P(A) / P(B)

The following probabilities are known:

P(A) = 0.001 (the population prevalence and previous likelihood of getting cogscitis)

P(B|A) = 0.95 (the possibility of receiving a positive Test 2 result while having cogscitis)

P(B|not A) = 0.10 (the possibility of receiving a positive test result from Test 2 even if you do not have  cogscitis)

The law of total probability, which asserts the following, can be used to determine the marginal probability of a positive test result (P(B)):

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where:

P(not A) = 1 - P(A) = 0.999 (the multiplier of the previous probability of contracting cogscitis)

Substituting the values, we get:

P(B) = 0.95 * 0.001 + 0.10 * 0.999 = 0.1008

The posterior probability of developing cogscitis can now be determined, given a positive test result from Test 2:

P(A|B) = P(B|A) * P(A) / P(B)

= 0.95 * 0.001 / 0.1008

= 0.0094

Therefore, the posterior probability of having cogscitis, given a positive test result from Test 2, is 0.0094 or about 0.94%. This indicates that even though you had a positive Test 2 result, the likelihood that you actually have CNS inflammation is still extremely low less than 1%.

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The correct explanation to tell whether Niko's generalization is; true 6 x 9 = (4 x 9 ) + (2 x 9) = 54

Suppose you've got 3 numbers a, b, and c.

Then, we have

(a+b) + c = a + (b + c)

This property is called associative property and it is called so because we can associate b with a, or b with c without altering the value of the addition.

We have been given that Niko said that a 6s fact can break into a 4s fact and a 2s fact.

Therefore, using the associative property of multiplication;

a(bc) = (ab)c

Applying the associative property;

6 x 9 = (4 x 9 ) + (2 x 9) = 54

Hence, the correct explanation to tell whether Niko's generalization is; true is 6 x 9 = (4 x 9 ) + (2 x 9) = 54

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Answer:

Step-by-step explanation:

Equation of the line for container O and container P will be in the form of,

y = mx + b

Here m = slope of the line = Change in amount of water per minute

b = y-intercept

From the graph attached,

y-intercept 'b' represents the initial amount of water in the container.

For container O, initial amount of water in the container is 1000 mL.

Similarly, initial amount in the container is 900 mL.

Answer: (2, 6)

Step-by-step explanation:

y - x > -3

x coordinate is 2 and y coordinate is 6

Plug in the x and y coordinates

6 - 2 = 4

4 > -3

Answer:

r≈1.34 and the volume is 10

Step-by-step explanation: