The Jones' old $47,000, 30 year, 12.8% mortgage has a monthly payment of $512.58. Over the 6 years since they took the loan, mortgage rates dropped. They can now apply for a mortgage at 9.05%, which will result in a new monthly payment of $369.36. To refinance, they must pay $1,020 in closing costs and a $480 prepayment penalty. Find the net amount they will save in the first year.

Answer:

1.125m

Step-by-step explanation:

\(1 - \frac{5}{8} = \frac{3}{8} \\ 3m \times \frac{3}{8} = 1.125m\)

Answer:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.

Step-by-step explanation:

The angle of the T in the ΔRST is 100° and the value of p is 11.

Define Triangle.

A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.

i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.

Given:

∠R = 37°; ∠S = 43°; ∠T = 10p-10°

Let's take ∠T = x

In ΔRST,

∠R + ∠S + ∠T = 180°

37 + 43 + x =  180°

x = 180 - 80 ⇒ 100

∴ ∠T = 100°

To find the value of p,

 ∠T = 100

10p - 10 = 100

10p = 110 ⇒ 11

∴ p = 11

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To solve for x, we need to add 2c on both sides as:

9x - 2c = k

9x - 2c + 2c = k + 2c

9x = k + 2c

Then, dividing by 9 into both sides:

Answer: x = k/9 + 2c/9

Answer:

38.25

Step-by-step explanation:

Note:

Paid 70%

Total 127.50

Solution:

127.50 · 70% = 89.25

127.50 - 89.25 = 38.25

Hence, The total you still owe is $38.25

Answer:

bd would also equal 5 i love math

Step-by-step explanation:

Answer:

There's no diagram.

I guess You forgot to send.

I'll guess its a quadrilateral.

Draw out a little quadrilateral...eg a rectangle

Label your points.

From the labelling ... Distance BD is now the diagonal of the rectangle.

Using Pythagorean theorem to get it...

BD = √12²+5²

BD=13.

Answer: approximately 33.333%

Step-by-step explanation:

Answer:

66 feet sq.

Step-by-step explanation:

Eleven times six would be sixty-six.

Break up 11 into its tens and ones

11*6 =60

1*6 =6

Add the two, 60+6 =66

Answer:

This statement means that subgroups divide a larger group into smaller groups, and each of these smaller groups has the same number of things in it. For example, if there are 12 people in a group, and they form subgroups of 3 people each in a group, there will be 4 groups total, and each individual subgroup will have 3 people in it.

Which expression is equivalent to 27 + 63 ?

3(9 + 18)

9(3 + 7)

21(7 + 3)

7(21 + 9)

The calculated measure of the arc DEF is 204 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of the arc intercepted by the angle DEF is calculated as

Arc DF = 2 * DEF

When the given values are substituted in the above equation, we have the following equation

Arc DF = 2 * 78

So, we have

Arc DF = 156

The measure of arc DEF is then calculated as

Arc DEF = 360 - 156

Evaluate

Arc DEF = 204

Hence, the measure of the arc DEF is 204 degrees

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The operation that has been performed on v to result in the vector that is shown is multiplication by -1.

The vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.

Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).

Here is the mathematical equation:

(-1) * (2, 1) = (-2, -1)

Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.

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Answer:

B: Retain the null hypothesis

Step-by-step explanation:

In the relationship between the confidence interval and hypothesis, it is stated that:

When the confidence interval is constructed, all values that fall inside the interval are considered possible values for the parameter that we are estimating while values that fall outside the interval are rejected as they are considered not possible or realistic values.

Now, If the value of the parameter specified by the null hypothesis falls inside the given confidence interval, then we will fail to reject the null hypothesis at the corresponding significance level. However, If the value specified by the null hypothesis doesn't fall inside the given confidence interval, then the null hypothesis can be rejected at the corresponding significance level.

The only automorphism of a well-ordered set is the identity.

To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.

Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.

Let f: W → W be an automorphism of the set.

We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.

Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.

Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.

Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.

Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.

Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.

Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.

By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.

However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.

Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.

Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.

Hence, the only automorphism of a well-ordered set is the identity function.

Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.

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If Maddy had a piece of ribbon that is 3 1/2 yards long divided into ribbons 3/4 yard long. Then Maddy made 4 bows from the piece of ribbon and had enough left for 2/3 of a bow.

the counting number just before C5F16 is 3,072.

The amplitude of the function in the graph is 3, so the correct option is C.

For any sinusoidal graph, the amplitude is the vertical distance between the midline the highest/lowest value.

Or, just take the distance between the highest and the lowest value and then divide it by 2.

We can see that this distance is:

D = 6 units.

Then the amplitude is half of that, then we will get:

A = D/2 = 6/2 = 3 units.

Then the correct option is C.

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The value of x, applying the trigonometric ratios, is given by the following option:

B) 8.0.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

For this problem, we have that side x is opposite to the angle of 28º, while the hypotenuse has a length of 17.

Hence the length x is obtained as follows:

sin(28º) = x/17

x = 17 x sine of 28 degrees

x = 8.

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Answer:

a number divided by 7=x÷7

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

In the given question, a sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.52 mpa and a sample standard deviation of 0.78 mpa.

We have to calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints.

Sample size: n = 13

Sample mean: x’ = 8.52 mps

Sample standard deviation: s = 0.78 mps

95% lower confidence bound for the true average proportional limit stress of all such joints

Level of Significance (α) = 1-95% = 5% = 0.05

α/2 = 0.025

So the value of t(α/2) = 1.8

The confidence interval = x’± t(α/2)*s/√n

Now putting the value:

The confidence interval = 8.41± (1.8)*(0.78)/√12

The confidence interval = 8.41± (1.8)*(0.226)

The confidence interval = 8.41± 0.4068

The confidence interval = (8.41- 0.4068, 8.41+ 0.4068)

The confidence interval = (8.01, 8.82)

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

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The right question is:

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standard deviation of 0.78 mpa.

Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.)

C. Formula

Explanation:

In Calc, a mathematical equation is called a Formula.

Next, we multiply throughout by the L.C.M of the denominators ( 3b)

Thus the value of b is

Answer:

B

Step-by-step explanation:

V = (4/3) pi r^3

V = 1.333 * 3.14 * 11^3

11^3 = 1331

V = 1.333 * 3.14 * 1331

V = 5572

The standard deviation, subtract each height from the mean height, square the differences, add up all the squares, divide by the number of heights, and take the square root of the result.

The given question states that the average height of the students in a class is 155 cm.

The average height of a group of people refers to the mean height of all the people in that group, calculated by dividing the sum of all their heights by the number of people in the group.

Average height is a measure of central tendency that provides useful information when making comparisons between different groups or analyzing trends over time.

In the context of a classroom, it may be useful to know the average height of the students in order to make decisions about things like desk and chair heights, or to identify potential outliers that may need additional attention.

It is important to note that the average height is just one measure of the distribution of heights within the group.

Other measures, such as the range, standard deviation, or quartiles, may also be useful for gaining a more complete understanding of the distribution.

In order to determine the range, subtract the minimum height from the maximum height.

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Answer:

The correct option is b) \(P(D|A)=P(A|D)P(D)\).

Step-by-step explanation:

The probability of selecting the different types of tires are:

P (A) = 0.40

P (B) = 0.15

P (C) = 0.45

The defective rate for the different types of tires are:

P (D|A) = 0.02

P (D|B) = 0.01

P (D|C) = 0.05

The formula to compute the probability that the tire is defective given that it is Brand A tire as follows:

\(P(D|A)=P(A|D)P(D)\)

answer

82

steps

put data in numerical order

55, 56, 57, 58, 59, 60, 60, 61, 63, 65, 69, 71, 78, 78, 79, 79, 82, 82, 83, 83

there are 20 numbers = 20

85 is the percentile = p

percentile rank formula

PR = (p/100) * (n + 1)

PR = (85/100) * (20 + 1) = 17.85

round up 17.85 to 18

it's the 18th number which is

82

chatgpt

The actual width and length of the bedroom are respectively; 9 ft and 12 ft

The parameters are given as;

Width of house = 30 feet = 360 inches

Length of house = 45 feet = 540 inches

Scale drawing width of house = 4 inches

Scale drawing length of house = 6 inches

Thus;

Scale factor width = 360/4 = 90

Scale factor length = 540/6 = 90

Scale drawing width of bedroom = 1.2 inches

Scale drawing length of bedroom = 1.6 inches

Thus;

Actual width of bedroom = 1.2 inches * 90 = 108 inches or 9 ft

Actual length of bedroom = 1.6 inches * 90 = 144 inches or  12 ft

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Step-by-step explanation:

x -y = -3 can be solved easily then 4x+3y= -5

Answer:

Step-by-step explanation:

Given the data :

Response time this year :

3.0, 12.0, 7.0, 4.0, 4.0, 6.0, 3.0, 9.0, 11.0, 15.0

Response time last year :

8.0, 7.0, 8.0, 6.0, 6.0, 9.0, 7.0, 9.0, 8.0, 6.0

Let's calculate the mean and standard deviation of each data sample :

Mean(m) = Σ(X) / n

n = sample size = 4

This year:

ΣX = 74 ; n = 10

Mean = 74 /10 = 7. 4

Standard deviation(s) = √(Σ(x - m)²/n - 1)

s = 4.195

Using a calculator to save computation time :Standard deviation = 4.195

LAST YEAR :

ΣX = 74 ; n = 10

Mean = 74 /10 = 7. 4

Standard deviation(s) = √(Σ(x - m)²/n - 1)

Using a calculator to save computation time :Standard deviation = 1.17

a. Does he see a performance variation by the mean?

From the mean value obtained for the two years, both are the same, hence, the value does not signify a variation in performance.

b. Does he see a performance variation by the standard deviation? If he does, is it performance improvement or deterioration from the last year? Why?

Yes, the value of standard deviation are different with the current year having a value of 4.195 and the previous year, a value of 1.17

The variation shows there is a deterioration on this year's performance from last year due to the larger value of standard deviation obtained ; 4.195 > 1.17