5p/3q divided by 4p^2/q

Diane's current monthly mortgage payment is $1,525.61, and her current outstanding principal is $302,200.63. If Diane decides to refinance, she can secure a loan of $302,200.63, and her monthly mortgage payment will be approximately $1,272.02, which is $253.59 less than her current payment.

(a) Diane's current monthly mortgage payment can be calculated using the loan amount, interest rate, and loan term. Using the formula for calculating the monthly mortgage payment, we can determine that her current monthly payment is $1,525.61.

(b) To find Diane's current outstanding principal, we need to consider the number of payments made and the remaining term of the mortgage. Since Diane took the loan five years ago with a 30-year term, the remaining term is 25 years or 300 months. We can use the loan balance formula to calculate the outstanding principal, which is $302,200.63.

(c) If Diane decides to refinance her property by securing a 30-year home mortgage loan in the amount of the current outstanding principal, she would take out a loan of $302,200.63.

(d) To calculate how much less Diane's monthly mortgage payment will be if she refinances, we need to compare the current monthly payment with the new payment. Assuming Diane can secure a new loan with a lower interest rate, let's say 3% compounded monthly, the new monthly payment would be $1,272.02. Therefore, if Diane refinances, her monthly mortgage payment would be approximately $253.59 less than her current payment.

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Answer:

4

Step-by-step explanation:

2(3x-2)=20

3x-2=10

3x=12

x=4

Answer:

x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Medium is 28

Mean is 29

Range is 11

Midrange is 29.5

The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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Answer:

$ 51.36

Step-by-step explanation:

To find the sales tax multiply the tax rate by the cost of the product and then add to the cost.

Sales tax = tax rate * cost price

              = 7% * 48

              = 0.07 * 48

              = $ 3.36

Cost price = cost of product + sales tax

                 = 48 + 3.36

                 = $ 51.36

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Answer:

17) #1 = 5

#2 = 49

18) Median= 50.5

Range = 88

Step-by-step explanation:

17) #1 - There are 5 3’s on the leaf side.

#2 - The number that is shown the most times is 49

18) There are 30 numbers in the stem and leaf plot, so the median falls between numbers 15 and 16.  In this plot, those numbers are 50 and 51.  So the median is 50.5.

The data ranges from 10 to 98.  98-10=88

Here all three are the factor. {a+b} will be the sum and 1/2 is the term

Hopefully i am right

All the best ！！

Answer:

x=2

Step-by-step explanation:

After solving with substitution, you would know x = 2

Step-by-step explanation:

\(\textsf{\large{\underline{Solution}:}}\)

→ 5x - 2y = 6 ----- (i)

→ 3x + 2y = 10 ---- (ii)

Adding (i) and (ii), we get:

→ 8x = 16

→ x = 16/8

→ x = 2

Substituting the value of x in (i), we get:

→ 5 × 2 - 2y = 6

→ -2y = 6 - 10

→ -2y = -4

→ y = -4/-2

→ y = 2

Therefore:

→ (x, y) = (2, 2) (Answer)

\(\textsf{\large{\underline{Verification}:}}\)

Put x = 2 and y = 2 in second equation, the LHS becomes:

= 5 × 2 - 2 × 2

= 10 - 4

= 6

= RHS

Put x = 2 and y = 2 in second equation, the LHS becomes:

= 3 × 2 + 2 × 2

= 6 + 4

= 10

= RHS

Hence, our answer is correct (Verified)

Hope this helps!!

Answer:

D

Step-by-step explanation:

The graph has a negative slope, which eliminates B and C. It intersects the y-axis at (0, -2), which is the point that D intersects. A intersects (0, 2).

Answer:B or C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Option C. which corresponds to the probability of approximately 0.0771 that there will be 8 occurrences within a period of ten minutes.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:

P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!

Substituting the given values, we get:

P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!

P(X = 8) ≈ 0.0771

Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.

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Answer:

Well, 2 to the 4th power is just: 2 x 2 x 2 x 2 which when multiplied, you get 16.

Step-by-step explanation:

Say you multiply the first two 2's, you get 4, then you multiply the last two 2's,

You're left with 4x4 which is equal to 16.

Answer:

Exact Form:

p=63/8

Decimal Form:

p=7.875

Mixed Number Form:

p=7 7/8

Hope this helps :-)

\(5+2\sqrt{5} , 5-2\sqrt{5}\)    Answer:   5±2\(\sqrt{5}\)

Step-by-step explanation:

x2 -10x=5=0

x2-10x+25=-5+25

(x-5)(x-5)=20

\((x-5)^{2} =\sqrt{20}\)

\(\sqrt{x-5}=\sqrt{20}\)

x-5=±\(\sqrt{20\)

x=5±\(\sqrt{5*4\)

x=5±2\(\sqrt{5}\)

Rejected masses x are those that weigh less than 9.02 oz or more than 9.48 oz.

To find the rejected masses:

Therefore, rejected masses x are those that weigh less than 9.02 oz or more than 9.48 oz.

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The correct question is given below:

A company did a quality check on all the packs of trail mix it manufactured. each pack of trail mix is targeted to weigh 9.25 oz. a pack must weigh within 0.23 oz of the target weight to be accepted. what is the range of rejected masses, ×, for the manufactured trail mixes?

The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

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When using the partition algorithm, the goal is to divide a set of elements into two subsets based on a chosen pivot element. This pivot element is typically chosen as the median of the set or a close approximation to it.

To find the median of the set, we first divide it into groups of 5 (or any other fixed number). We then find the median of each group, which will give us a set of medians. We can then recursively find the median of this set of medians, which will give us an approximate median for the entire set.

Once we have the pivot element, we can compare it to each element in the set and divide them into two subsets based on whether they are greater or less than the pivot element. However, we do not need to compare the pivot element to every element in the set.

We only need to compare the pivot element to the elements that we do not already know how they compare. These are the elements that are in different subsets than the pivot element.

For example, if the pivot element is greater than a certain element, we know that this element is in the subset that contains elements less than the pivot. Therefore, we do not need to compare the pivot element to this element.

In general, we only need to compare the pivot element to approximately half of the elements in the set. This is because each comparison will divide the set into two subsets, one of which we already know the relationship to the pivot element.

In conclusion, when using the partition algorithm, we only need to compare the median of medians to approximately half of the elements in the set, those that we do not already know how they compare.

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Answer:

2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.

Answer:

6 + 30

Step-by-step explanation:

6(1+5)

6 + 30

= 36

Answer:

first way: 2 Angles and one side

second way: 2 sides and one angle

Answer:

Step-by-step explanation:

congruent triangles

how to tell if triangles are congruent using SSS, SAS, ASA, and AAS rules

why AAA and SSA do not work as congruence shortcuts

the Hypotenuse Leg Rule for right triangles

how to use CPCTC (corresponding parts of congruent triangles are congruent)

Answer:

(1) and (4)

Step-by-step explanation:

4 + 16x - 12(1 + 2x) = 4 + 16x - 12 - 24x

4 + 16x - 12 - 24x = 16x - 12 - 24x + 4

- 24x + 16x = -8x

- 12 + 4 = -8

Which creates -8x - 8

Since 15 can be expressed as 3 × 5. Therefore, the cube root of 15 = ∛(3 × 5) = 2.4662.

Answer:

15 is not a perfect cube.

Step-by-step explanation:

Cube root of 15 is 2.466

The expected number of correct guesses a contestant will have is 1.4.

We can use the formula for the expected value of a discrete random variable:

E(X) = Σx P(X=x)

where X is the number of correct guesses and P(X=x) is the probability of getting x correct guesses.

Since there are three curtains and the prize changes after every guess, the probability of guessing correctly on any given try is 1/3. Therefore, the probability of getting x correct guesses out of 5 tries is given by the binomial distribution:

P(X=x) = (5 choose x) (1/3)^x (2/3)^(5-x)

Using this formula, we can calculate the probability of getting each possible number of correct guesses:

P(X=0) = (5 choose 0) (1/3)^0 (2/3)^5 = 0.1317

P(X=1) = (5 choose 1) (1/3)^1 (2/3)^4 = 0.3931

P(X=2) = (5 choose 2) (1/3)^2 (2/3)^3 = 0.3285

P(X=3) = (5 choose 3) (1/3)^3 (2/3)^2 = 0.1314

P(X=4) = (5 choose 4) (1/3)^4 (2/3)^1 = 0.0154

P(X=5) = (5 choose 5) (1/3)^5 (2/3)^0 = 0.0001

Now we can use the formula for the expected value:

E(X) = Σx P(X=x) = 0(0.1317) + 1(0.3931) + 2(0.3285) + 3(0.1314) + 4(0.0154) + 5(0.0001) = 1.4

Therefore, the expected number of correct guesses a contestant will have is 1.4, rounded to three decimal places.

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It means that the grocer has to pay $1.38 for each pound of strawberries. So the constant of proportionality for this scenario is $1.38

Proportionality is a mathematical relationship between two variables, where the ratio of one variable to the other is always the same, regardless of the values of the variables. The variables are said to be in proportion if there is a constant of proportionality "k" such that one variable is equal to "k" times the other variable. In other words, if y is proportional to x, the relationship is represented by an equation of the form y = kx, where "k" is the constant of proportionality.

A constant is a value that does not change. In mathematical terms, it refers to a value in an equation that remains the same and does not depend on the variables. For example, in the equation y = kx, "k" is a constant. It is a fixed numerical value that relates two variables in a proportionality relationship. Constants can be represented by a number, a letter or a symbol.

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Answer:

70 could represent the total number of points nolan can earn on the test

Step-by-step explanation:

Answer:

The height reached by the ladder is 8 m.

Step-by-step explanation:

A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?

Length of ladder, L = 10 m

foot of ladder, D = 6 m

Let the height reached is H.

\(L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m\)

The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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h = 15

just plug in the numbers for the corresponding letters and then solve to get h by itself