If A varies directly as b and A=6, when b=1/3, find the equation that relates A and b.

Answer:

A :  Per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.

B:   The probability is 1/4

Step-by-step explanation:

The estimated chance of a customer making a purchase  = 74%

So, if a TOTAL of 100 people visit the grocery store on any random day,

then 74 % of customers  

= 74% of 100

= 74 people will make purchases.

⇒ Out of total 100 people visiting, 74 people  will make a purchase.

So, the number of people NOT making a purchase = 100 - 74 = 26

⇒ Out of total 100 people visiting, 26 people  will NOT make a purchase.

Also, 26 = 26% of 100

Part A :

So, in order to make a purchase, cashier should expect 26% of customers because the percentage of NOT purchasing is 26%.

Hence, per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.

Part B :

The percentage of customer making a purchase = 74%

The percentage of people NOT making a purchase  = 26%

So, for every 3 customer making a purchase there is a 1 person NOT making  a purchase.

So, the probability is 1/4

Part A) 

1.35 customers until the cashier should expect to find a customer that makes a purchase.

1 ➗ 0.74 = 1.35

Part B)

0.013 is the probability that the cashier helps 3 customers until he finds the first person to make a purchase.

(1 - 0.74)3 x 0.74 = 0.013

The polynomial x^2 + 18 cannot be factored over the real numbers and remains in its simplest form. For complex coefficients, it can be expressed as (x + 3i)(x - 3i). For cubic differences like x^3 - y^3, the real factors would be (x - y)(x^2 + xy + y^2).

The polynomial x2 + 18 cannot be factored over the reals because it does not have any real roots; thus, it is already in simplest form over the real numbers. However, if we allow for complex coefficients, we can write this as (x + 3i)(x - 3i), where i is the imaginary unit. Note, for more complex expressions such as x3 - y3, you would use the formula (x - y)(x2 + xy + y2) to factor it over the reals or apply complex coefficients if necessary.

Answer: 2/8; 3/6 and 3/5

Step-by-step explanation:

3/6 = 1/2 = 0.5

3/4= 0.75

2/8= 1/4 = 0.25

To arrange in the order of least to greatest= 2/8; 3/6 and 3/5

Total bill amount = $ 189

Step-by-step explanation:

Given:

The bill amount = $ 175

Coupon = 10%

Coupon amount = [tex]\frac{10 \times 175}{100}[/tex]

                            [tex]=\$ 17.5[/tex]

Bill Amount after applying the coupon = [tex]=\$ 175-\$ 17.5=\$ 157.5[/tex]

Tip = [tex]20 \% \text { of } 157.5[/tex]

   = [tex]\frac{20 \times 157.5}{100}=\$ 31.5[/tex]

So the tip amount = $ 31.5

Total bill amount after the coupon and tip = [tex]\$ 31.5+\$ 157.5=\$ 189[/tex]

So the total bill amount is $ 189.

Final answer:

The tangent of ∠Y in ΔXYZ is the ratio of the length of side XZ to the length of side ZY, which is 65/72.

Explanation:

In ΔXYZ, we are given that ∠Z = 90°, YX = 97, XZ = 65, and ZY = 72. To find the tangent of ∠Y, we use the definition of the tangent function in a right triangle, which is the ratio of the length of the opposite side to the length of the adjacent side for the given angle.

Since ∠Z is the right angle and we are interested in a tangent of ∠Y, the opposite side to ∠Y is XZ (which measures 65), and the adjacent side to ∠Y is ZY (which measures 72).

Therefore, the tangent of ∠Y is given by the ratio:
tan(∠Y) = opposite/adjacent = XZ/ZY = 65/72.

The height of the cone is 4 inches.

Step-by-step explanation:

Step 1:

The given triangle is a right-angled triangle.

The length of the hypotenuse is 5 inches. One of the other sides is 3 inches long. Assume the other side of the triangle measures x inches.

According to Pythagoras' theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Step 2:

(The length of the hypotenuse)² = (The other sides length)² + (The other sides length)²

By substituting the values in the equation, we get

[tex]5^{2} = 3^{2} + x^{2} , x^{2} = 25 - 9 = 16.[/tex]

[tex]x = 4.[/tex]

So the height of the cone is 4 inches which is the fourth option.

Answer: £164.50

175 decreased by 6% = 164.5

Absolute change (actual difference):

164.5 - 175 = - 10.5

Step-by-step explanation:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% × 175 =

(1 - 6%) × 175 =

(100% - 6%) × 175 =

94% × 175 =

94 ÷ 100 × 175 =

94 × 175 ÷ 100 =

16,450 ÷ 100 =

164.5

£164.50

Answer: £164.5

Step-by-step explanation:

Given ticket cost at = £175

6 percent decrease = 6/100 × £175

=£10.5

To get the Current cost of ticket, we then subtract 6% decrease from the former cost of ticket:

= £175 - £10.5

=£164.5

I hope this helps.

Solution:

1)

[tex]-6x + 14\leq 28[/tex]

Solve the inequality for "x"

From given,

[tex]-6x + 14\leq 28[/tex]

[tex]\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\\\-6x+14-14\le \:28-14\\\\Simplify\\\\-6x\le \:14\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

When, we multiply or divide both sides of inequality by negative number, then we must flip the inequality sign

[tex]\left(-6x\right)\left(-1\right)\ge \:14\left(-1\right)\\\\\mathrm{Simplify}\\\\6x\ge \:-14\\\\\mathrm{Divide\:both\:sides\:by\:}6\\\\\frac{6x}{6}\ge \frac{-14}{6}\\\\x \geq -2.333[/tex]

The solution set is given as:

[tex]-6x+14\le \:28\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-\frac{7}{3}\:\\ \:\mathrm{Decimal:}&\:x\ge \:-2.33333\dots \\ \:\mathrm{Interval\:Notation:}&\:[-\frac{7}{3},\:\infty \:)\end{bmatrix}[/tex]

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

2)

[tex]9x + 15< - 12[/tex]

Solve the inequality for "x"

From given,

[tex]9x+15<-12\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\9x+15-15<-12-15\\\\\mathrm{Simplify}\\\\9x<-27\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\\\frac{9x}{9}<\frac{-27}{9}\\\\\mathrm{Simplify}\\\\x < -3[/tex]

The solution set is given as:

[tex]9x+15<-12\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\end{bmatrix}[/tex]

Answer:

F= $2219.91

Step-by-step explanation:

[tex]F=P(1+i)^{n}[/tex]

Here

F= value of money after 10 years

P= present value

i= interest

n= number of compound on money

P=$750   i = 11%/4=0.0275 n=10x4= 40

[tex]F=750(1+0.0275)^{40}[/tex]

[tex]F=750(1.0275)^{40}[/tex]

[tex]F=750(2.96)[/tex]

F= $2219.91

Answer:

2^6

Step-by-step explanation:

2*2*2*2*2*2

There are six 2's multiplied together so the base is 2 and the exponent is 6

2^6

Answer:

-0.9659258 is the exact value

Final answer:

Area of the rectangle that has the vertices (-2, 0). (0-4). (2.0), and (0,4)  is 32 square units.

Explanation:

To find the area of a rectangle, we need to use the formula:

Area = length x width

In this case, the vertices of the rectangle are (-2, 0), (0, -4), (2, 0), and (0, 4). We can calculate the length and width by finding the difference in the x-coordinates and y-coordinates, respectively.

The length is 2 - (-2) = 4 and the width is 4 - (-4) = 8.

Therefore, the area of the rectangle is:

Area = 4 x 8 = 32 square units.

The question appeared to ask about the impact of dilation on a polygon's perimeter, but the scale factor was not provided. Generally, the perimeter of a dilated polygon is the original perimeter multiplied by the scale factor. Another part of the student's question involved calculating the actual diameter of a swimming pool from a scale drawing using a provided scale factor.

The student appears to have asked a question about a dilation of a polygon and its effect on the perimeter, as well as having other queries related to scale factors and how they apply to various geometric figures and real-life objects. Unfortunately, the specific scale factor for the dilation in question 5 is not provided. However, generally speaking, when a figure is dilated by a scale factor, the length of all sides is multiplied by that factor. Given that the perimeter is the sum of all side lengths, the perimeter of the dilated polygon would also be multiplied by the same scale factor. So if a polygon has a perimeter of 18 units and it is dilated by a scale factor, to find the perimeter of the dilated image we multiply the original perimeter by the scale factor. It's important to note that without knowing the exact scale factor, we cannot determine what the new perimeter would be.

For question 12, to find the actual diameter of the pool, we need to use the scale factor provided, which is 1/72. If the scale drawing shows a diameter of 1(1/2) inches, we can calculate the actual diameter using the following:

The rest of the calculations follow a similar method, using the respective scale factors and measurements to determine the actual sizes or scale sizes of objects.

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The correct option is d. [tex]30\ units[/tex]. This means that the original polygon was dilated with a scale factor of to obtain the image with a perimeter of [tex]30\ units.[/tex]

To find the perimeter of the image of a polygon after dilation with a scale factor, we need to understand how dilation affects the dimensions.

1. Perimeter of the original polygon:

Let's denote the original perimeter of the polygon as [tex]\( P \)[/tex]. According to the problem, the original perimeter is [tex]18 \ units[/tex]

[tex]\( P = 18 \) \ units[/tex]

2. Dilation with a scale factor:

Dilation with a scale factor [tex]\( k \)[/tex] multiplies all dimensions (lengths of sides) of the polygon by [tex]\( k \).[/tex]

3. Perimeter after dilation:

After dilation with a scale factor [tex]\( k \)[/tex], the perimeter [tex]\( P' \)[/tex] of the polygon's image is given by:

[tex]\( P' = k \times P \)[/tex]

Here, [tex]\( k \)[/tex] is the scale factor.

4. Calculating the perimeter of the image:

The problem states that the polygon is dilated with a scale factor of [tex]\( \sqrt{3} \)[/tex]. So, [tex]\( k = \sqrt{3} \).[/tex]

Now, calculate [tex]\( P' \)[/tex]

[tex]\( P' = \sqrt{3} \times 18 \)[/tex]

[tex]\( P' = 18 \times \sqrt{3} \)[/tex]

[tex]\( P' = 18 \times 1.732 \)[/tex]

[tex]\( P' = 31.176 \)[/tex]

None of the given options match the exact calculated perimeter [tex]\( P' = 31 \) units[/tex]. However, based on the options provided, the closest answer to our calculated value is [tex]30\ units[/tex] (option d).

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

Answer:

B: 2:1

Step-by-step explanation:

The number of sugar cookies is 24 -16 = 8

Chocolate chip: sugar

16:8

Dividing by 8

16/8: 8/8

2:1

Answer: B

Step-by-step explanation:

there are 24 cookies in total and 16 of then are chocolate chip.To find the rest of the cookies, you would subtract 16 from 24 which would give you 8.

Finally, to make a ratio, you would put the numbers in order as the problem. So, that would be 16:8 or chocolate chip to sugar. and that would reduce to 2:1.

Answer:4m^2+4m+1

Step-by-step explanation:

(2m+1)^2=(2m+1)(2m+1)

Opening brackets we have:

4m^2+2m+2m+1

Add like terms

4m^2+4m+1

Answer:

The solution is

4m² + 4m + 1

Step-by-step explanation:

Solve this: (2m+1)²

If X² = X*X

Therefore, (2m+1)² = (2m+1) x (2m+1)

Opening the bracket (2m+1) x (2m+1)

=2m*2m + 2m*1 + 1*2m + 1*1

= 4m² + 2m + 2m + 1

Collect the like terms

= 4m² + 4m + 1

From this point, the equation can't be solved further.

In order to write the above statement as an equation, we have: b + 8 = 17.

This is related to translating word problems to equations.

Equation actually refers to a mathematical statement that actually shows that two mathematical expressions are equal to each other. In an equation, the "equal to" (=) is usually used to indicate the equation.

We can see above that the statement in words has been translated to a mathematical equation.

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Answer: classroom numbers are 353 and 355

Step-by-step explanation:

Let x represent the first no

Then x+2 represents the second number

Turn the question to an equation= x - (x +2) =708

Therefore, 2x + 2= 708

2x= 708-2

2x= 706

x= 353 and x+2= 355

Hope you understand, please mark brainliest.

Answer:

The first number is 353, and the second is 353 + 2, or 355.

Step-by-step explanation:

Represent the first number by n and the next by n + 2.  

Then n + (n + 2) = 2n + 2 = sum of the two numbers = 708.

Subtracting 2 from both sides yields 2n = 706.  Dividing both sides of this latest result by 2 yields n = 353.

The first number is 353, and the second is 353 + 2, or 355.

Check:  do 353 and 355 sum up to 708?  YES

Answer:

no

because it should be 99

Answer:

y =   -1/3x-2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Angles at each vertex of a rectangle is right angle

Final answer:

To determine the probabilities of Casey's performance in a softball game, we compute the outcomes of him getting 4 hits (0.0256), getting no hits (0.1296), and getting 3 or more hits (0.2048) using the rules of probability for independent events.

Explanation:

The probability of the softball player Casey getting a hit is 4/10. To solve the various probabilities related to Casey's performance:

A: the factors of 45 are the only one shaded on the hundreds chart

The shaded numbers, all are factors of 45. Therefore, option A is the correct answer.

We need to check what set of numbers is shaded on the hundred charts.

In math, a factor is a number that divides another number completely with no remainder. Factors and multiples are a part of our daily life. For example, they are used in arranging items in a box, handling money, finding patterns in numbers, solving ratios, and working with expanding or reducing fractions.

The factor of a number is always less than or equal to the given number.

From the given chart the shaded numbers are 1, 3, 5, 9, 15 and 45.

The shaded numbers, all are factors of 45. Therefore, option A is the correct answer.

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Answer:

Step-by-step explanation:

Answer

20%

Explanation

Answer:

a system for simplifying expressions that ensures that there is only one right answer

Step-by-step explanation:

Order of operations is used to simplify as much as possible to solve the equation easily.

Of all choices the second choice is the most accurate definition.

Answer:

a system for simplyfying expressions that ensures that there is only one right answer

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Please mark brainliest, everybody keeps bullying me because i get the answers faster, then they delete my explanation to do theirs :(