Find each probability and then order from least probable to most probable.

The amount that Alan can be able to borrow for credit balance is $8,500.

What is credit balance?

The capacity to access products or services or borrow money with the idea that you'll pay for them later is known as credit. An amount that the card issuer owes you can be seen as a credit balance on your billing statement. With each payment you make, credits are added to your account. When you return something you purchased with a credit card, a credit might be added.

Given, total limit =  $10,000

Borrowed amount = $2,000

paid back = $500

So, remaining amount that he can borrow = $10,000 - $2,000 + $500

                                                                      = $8,500

Hence, he can be able to borrow $8,500.

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Answer:

  c(t) = 105·1.07^t

Step-by-step explanation:

You want an exponential equation describing the cost of athletic shoes that are $105 now and whose cost is growing at 7% per year for t years.

The general form of the exponential equation is ...

  c(t) = a·b^t

where 'a' is the initial cost (105) and b is the growth factor. The growth factor is related to the given growth rate by ...

  b = 1 +r = 1 +7% = 1.07

Then the equation is ...

  c(t) = 105·1.07^t

Answer:

[tex]4mn^{2}[/tex] is their common factor.

Step-by-step explanation:

It is the common factor of both as it is a number they are both easily divisible by.

Answer:

  4mn^2

Step-by-step explanation:

You want the common factor of the terms in 16m^2n^2 -12mn^5.

The terms can be factored as ...

  16m^2n^2 = (4)(4)(m)(m)(n^2)

  -12 mn^5 = (-3)(4)(m)(n^2)(n^3)

The factors that are in both lists are ...

  (4)(m)(n^2)

The common monomial factor of the expression is 4mn^2.

__

Additional comment

Factoring out that common factor gives ...

  = 4mn^2(4m -3n^3)

Answer: 69

Step-by-step explanation: jamal

Answer:

i think the answer is something like maybe if the artist is really good at doing something well and looking good

this question is hard

Answer: 30%

Step-by-step explanation:

First, calculate the difference between the original number and the new number:

1.30 - 1.00 = 0.30

Second, divide the difference by the original number.

0.30/1.00 = 0.3

Third, multiply the answer by 100 to get the percentage. (Remember cent means 100!)

0.3 * 100 = 30

Therefore, the profit per cent was 30%.

Hoped this helped!

The function of g is -3x+6

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The g function can be obtained from the graph using two points, the first (0,6) and the second (2,0).

Remember, a line has the following equation:

Since x=0 and y=6, y=mx=b, where'm' denotes the slope and 'b' the interception.

Now to find the slope, lets use the following equation:

m=y2 - y1/x2 - x1

With the previously obtained point.

We have m=-3

g=-3x+6

Therefore the function of g is -3x+6

The complete question is : Write a function g whose graph represents the indicated transformation of the graph of f(x)=6-x.

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Answer:

A. 4

Step-by-step explanation:

2+2=4

Adding

Answer:

Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add

C=100 3X=30 IV=4

100+30+4=134

CXXXIV=134

The dimensions of the product matrix are:

BD = 2 x 1

DA = 1 x 2

DC = 2 x 3

A matrix is a form of writing items in rows and columns.

The dimensions of the matrix are written as m x n.

Where m is the number of rows and n is the number of columns.

We have,

The matrix A has dimensions 3 x 2.

The matrix B has dimensions 2 x 2.

The matrix C has dimensions 1 x 3.

The matrix D has dimensions 2 x 1.

The dimensions of the product of two matrices is given as,

A = p x q

B = q x r

AB = p x r

Thus,

The dimensions of the product matrix of BD.

= 2 x 1

The dimensions of the product matrix of CA.

= 1 x 2

The dimensions of the product matrix of DC.

= 2 x 3

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For the given expression on shapes, if Trapezoid and circle together make a circle , than the difference of triangle and trapezoid equals to a circle.

Given is that -

Trapezoid + circle = triangle

Triangle - trapezoid = circle

We can write -

t + c = T         ..... Eq[1]

T - t = c          ...... Eq[2]

We can write -

Eq [2] as-

T = c + t

Then, equation [1] will be -

t + c = c + t

The statements : if trapezoid + circle = triangle, then triangle - trapezoid = circle is proved to be true.

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Answer:

Step-by-step explanation:

Answer:

$6386.1140

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n) ^nt

P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,

Compounding times per period = 12 (monthly)

The expected value for Alison's investment is $650

A projected average value for an investment at some point in the future is known as the expected value (EV).

A anticipated value for an investment is called expected value (EV). It is determined by averaging all conceivable outcomes, multiplied by the likelihood that they will occur. The long-term average of random variables is known as EV. Additionally, it is the probability-weighted average of every potential value.

Given:

There is a 35% chance that she will make $4000.

25% chance that she will lose $3000.

and a 40% chance that she will break even (make $0).

The expected value can be calculated as:

= ∑ (Probability of event happening x Payoff if event happens)

So, The expected value  is

= (35% x 4000) + (25% x -(3,000)) + (40% x 0)

= 1400 -750+0

= $650

Hence, the expected value is $2,400.

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The value of x is 30 degrees and the value of y = 5

The total figure is divided in to two triangles

Consider the first triangles

All the angles of the triangles is equal that is 60 degrees, This is a equilateral triangles

In equilateral triangles all the sides will be equal

Then the equation will be

8y = 40

y = 40/8

y = 5

Then consider the second triangle

Here, two sides are 40 units and third side is different, therefore it is an isosceles triangle

Then the equation will be

x + x + (180-60) = 180

2x + 120 = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30 degrees

Therefore, the value of x and y are 30 degrees and 5 respectively

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Out of 500 people, 8 have autism, according to the SRS. The rejection zone is revealed to be at significance() = 5%, or 0.05. This figure need to be higher.

What is  autism spectrum ?

Eight people with autism are found out of 500 people in an SRS. Autism, often known as autism spectrum disorder, refers to a wide range of diseases that affect how the brain develops. Therefore, there is a critical need for research on treatment plans that guarantee the best possible outcomes for kids with ASDs. According to several research, autism affects 1% of people globally. You think this number ought to be greater. Using a sample size of 500 persons, you discover 8 cases of autism. 5% significance test for the assertion.

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By using the concept of addition, it can be calculated that-

The total time they spent driving = 2w + 3

Option b is correct

What is addition?

Suppose there are many numbers, and we need to find the sum total of all those integers, then the operation used in this case is called addition

This is a word problem on addition

Wanda drove for w hours on a trip.

Wanda's husband drove 3 hours more than she did.

Time for which Wanda's husband drove = w + 3

The total time they spent driving = w + w + 3

                                                       = 2w + 3

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Answer: We know that 60 mph = 88 feet per sec (this can be shown easily enough).

Then we have a proportion:

60%2F88+=+85%2Fx

and we cross-multiply to get

60x = 7480

x = 124.7 feet per sec

Now multiply that by 1.5 sec and get

187 feet

(This is not realistic...the average alert driver reacts in about 0.15 seconds, not 1.5)

So answer 187 feet

Step-by-step explanation:

The maximum firing rate will be​ reached after 25 milliseconds and the maximum firing rate is 545 responses per millisecond

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

y = -x^2 + 50x - 80

Rewrite this function as

y = -x² + 50x - 80

Differentiate the function

So, we have

y = -2x + 50

Set to 0

-2x + 50 = 0

So, we have

2x = 50

Divide  by 2

x = 25

Recall that

y = -x² + 50x - 80

Also, we have

x = 25

So, we have

y = -(25)² + 50 x 25 - 80

Evaluate

y = 545

Hence, the maximum is 545 responses per millisecond

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Answer: contrapositive ⌝Q→⌝P.

The percentage error when the weight was found to be 62.5 ounces is 3.2%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Since the the weight of the sample as 60.5 ounces and the true weight was found to be 62.5 ounces.

The percentage error will be:

Error / Initial value × 100

= (62.5 - 60.5) / 62.5 × 100

= 2 / 62.5 × 100

= 3.2%

The percentage error is 3.2%.

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The possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix, the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.

A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that are used to represent a mathematical object or an attribute of one.

Since the pivot b must, of course, not be zero, every row entry to the left of the pivot is zero by nature of the row-reduction procedure, which results in a row of the type,

[tex]\left[\begin{array}{ccc}0&0&.......0\ |\ b\end{array}\right][/tex] where b ≠ 0

Therefore, the possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.

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Answer:

1

Step-by-step explanation:

m = y2-y1 / x2-x1

m = -6+1 / 3-7

m = -5/-5

m = 1

Answer:

Slope = -5/4

Step-by-step explanation:

As you stated, a convention is as follows: x, y, w, h; likewise, the origin of the picture is from top left, not really the bottom left, as indicated by your drawing. The clusters for top left the box's corner are x, y, and w, h.

Box Bounding In order to characterize the target position in object recognition, we often utilize a bounding box. Both x and y axis values there at upper-left corner as well as the x and y axes coordinates inside the bottom part of the rectangular define the bounding box, which is a rectangular box.

The x - axis and y axis values at the upper-left corner as well as the x and y axis values inside the bottom part of a rectangle define the bounding box, which is a rectangular box. Based on the image, we will create the bounding boxes for the dog and cat.

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The required simplified expression is: x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.

The given expression below is:

x² - 9 / (3x²)(3x²) + 9x²

To simplify the given expression, we must first distribute the terms on the numerator and denominator.

The numerator becomes x² - 9 and the denominator becomes (3x²)(3x²) + 9x².

Next, we must simplify the denominator by combining like terms. The denominator becomes 9x⁴ + 9x².

Finally, we can simplify the entire expression by dividing the numerator by the denominator.

This gives us the simplified expression: x² - 9/ 9x⁴ + 9x².

Note that this expression is not defined when x = 0 or x = 3, as it would result in a division by zero.

Thus, the final simplified expression is x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.

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The fraction of the distances of the points A(2·a + 3, 3·a + 4), and B(4 - a, 5 - a) from the x- and y-axis and the value of a > 5, indicates that the value of a is 16.[tex]\overline{4}[/tex]

A fraction is a representation of the amount a part of an item compared to the whole of the item.

The distance from the x-axis to the point A(2·a + 3, 3·a + 4) = 3·a + 4

The distance from the y-axis to the point B(4 - a, 5 - a) = 4 - a

Therefore; 1/5 of the distance from the x-axis to the point A(2·a + 3, 3·a + 4) is (1/5) × (3·a + 4)

6/7 of the distance from the y-axis to the point B(4 - a, 5 - a) is (6/7) × (4 - a)

The details in the question indicates; (1/5) × (3·a + 4) = (6/7) × (4 - a)

However, if a > 5, then 4 - a < 0, while (3·a + 4) > 0, from which we get;

If a > 5, then, (1/5) × (3·a + 4) = (6/7) × (a - 4)

[tex]\dfrac{1}{5} \times (3\cdot a + 4) = \dfrac{6}{7} \times (a -4)[/tex]

7 × (3·a + 4) = 5 × 6 × (a - 4)

21·a + 28 = 30·a - 120

30·a - 21·a = 9·a = 120 + 28 = 148

a = 148/9 = 16.[tex]\overline 4[/tex]

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Answer:

y=-5x+6

Step-by-step explanation:

y=mx+b

y=-5x+6

The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

A line passes through the origin (0, 0) and(5,3),

The equation of the line will be,

y - 0 = 3-0 / 5-0 (x -0)

y = 3 / 5x

Put y = 1 then x = 5 / 3

Put y = 2 then x = 2 × 5 / 3 = 10 / 3

Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

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Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

Answer:

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

If the two lines have same y-intercept then this is the point of intersection of the two lines.

Since the slopes are different, the y-intercept is the only point of intersection. So there is one solution.

Correct choice is D.

Answer:

$5160

Step-by-step explanation:

Each year, he earns 5% of 8600 = 0.05 * 8600 = $430

After 12 years, she will earn 12 * 430 = $5160 in interest