Michael owns a small business selling bagels. He knows that in the last week 28
customers paid cash, 18 customers used a debit card, and 25 customers used a credit
card.
If next week, he is expecting 1500 customers, about how many would you expect to
pay with cash? Round your answer to the nearest whole number.

Equation,

[tex]y - y1 = m(x - x1)[/tex]

Plugging in our values,

[tex]x1 = - 2, \: y1 = 4, \: m = 3[/tex]

[tex]y - 4 = 3(x - ( - 2))[/tex]

[tex]y - 4 = 3(x + 2)[/tex]

So the equation is,

[tex]y - 4 = 3(x + 2)[/tex]

Answer:

A

Step-by-step explanation:

The product of  the expression [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations

Below is how to calculate the product

The product expression is given as:

[tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Express x^2 - 16 as a difference of two squares

[tex]\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Divide the expression

[tex]\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Factorize the other fraction

[tex]\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}[/tex]

Further factorize

[tex]\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}[/tex]

Divide

[tex]\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}[/tex]

Multiply the fractions

[tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

Hence, the product of  [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

Read more about algebraic expressions at:

https://brainly.com/question/4344214

Answer :

Cost of running shoes = $92

Cost of total expenditure = $122

It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s

Thus the equation formed will be ,

Option D is the correct answer

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

Answer:

2/3

Step-by-step explanation:

My brain is too big

Answer:

2/3

Step-by-step explanation:

Answer:

The answer is "3.329".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\text{test statistic t} = \frac{slope}{standard \ error}[/tex]

                      [tex]=\frac{0.789}{0.237}\\\\=3.329[/tex]

Answer:

[tex]V=7.45\times 10^{15}\ mm^3[/tex]

Step-by-step explanation:

The radius of each lollipop is 121212 mm

We need to find the volume of each lollipop. The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]

So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].

Answer:

The answer to the question is C

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

Answer:

I don't see where the question is...

Step-by-step explanation:

Answer:

[tex]P(x > 4.5)= 0.983943[/tex]

Step-by-step explanation:

Given

[tex]\mu = 6[/tex]

[tex]\sigma = 0.7[/tex]

Required

[tex]P(x > 4.5)[/tex]

Start by calculating the z score

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So:

[tex]z = \frac{4.5 - 6}{0.7}[/tex]

[tex]z = \frac{-1.5}{0.7}[/tex]

[tex]z = -2.143[/tex]

So, we have:

[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]

This gives:

[tex]P(x > 4.5)= 1 - P(x < z)[/tex]

[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]

Using the z score probability table, we have:

[tex]P(x > 4.5)= 1 - 0.016057[/tex]

[tex]P(x > 4.5)= 0.983943[/tex]

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Answer:

v = 3

Step-by-step explanation:

You can start by distributing -2:

-2v - 2 = 3v -17

Next, add 2v to both sides to combine the v terms:

-2v - 2 = 3v - 17

+2v        +2v

-2 = 5v - 17

To isolate the v term, we add 17 to both sides:

-2 = 5v - 17

+17       +17

15 = 5v

Lastly, divide by 5 to get v:

15 = 5v

÷ 5    ÷5

3 = v --> v = 3

Answer:

16 yd

Step-by-step explanation:

If a is missing, then use the square root of c^2-b^2. In this case that means you find the square root of 20^2-12^2. 20^2 is 400, and 12^2 is 144. When you subtract 144 from 400 you get 256. The square root of 256 is 16. I hope this helps :)

Answer:

16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

Leg a = a

Leg b = 12

Hypotenuse c = 20

Step 2: Solve for a

Answer:

I only know the second part sorry

9.35

Step-by-step explanation:

3(9)÷4+2.6=

27÷4+2.6=

6.75+2.6=

9.35

Answer:

According to hypotenuse

39²+b²=65²

b²=65²-39²

b²=4225-1521

b=√2,704

b=52 km

Answer:

x = -8 Hope that helps bye!

Step-by-step explanation:

1. Subtract 3x from both side -5=5x+11-3x

2. Simplify 5x+11-3x= 2x+11

3. Subtract 11 from both sides -5-11=2x

4. Simplify -5-11= -16=2x

5. Divide both sides by 2 -16/2=x

4. Simplify 16/2 = -8 = x

5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8  1. 3×-8-5=5×-8+11

2. 3×-8= -24 do -24-5=5×-8+11

3. Simplify 5×-8= -40 do -24-5=-40+11

4. Simplify -24-5= -29 do -29= -40+11=-29

-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.

Answer:

[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 - x +2[/tex]

Required

The vertex

We have:

[tex]f(x) = x^2 - x +2[/tex]

First, we express the equation as:

[tex]f(x) = a(x - h)^2 +k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

So, we have:

[tex]f(x) = x^2 - x +2[/tex]

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

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

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

[tex]f(x) = x^2 - x +2[/tex]

[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]

[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]

Expand

[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]

Factorize

[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]

Factor out x - 1/2

[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]

Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]

[tex]h = \frac{1}{2}[/tex]

[tex]k = \frac{7}{4}[/tex]

Hence:

[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]

Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

Answer:  A or 1/2 , 7/4

Step-by-step explanation:

did it on an assignment on EDGE

Answer:8

Step-by-step explanation:

If I remember correctly, if the numbers are inside the lines like these || that means absolute value. So the negative sign would cancel out and the one on the outside would carry over, making it a -8. The opposite of  -8 is 8.

Answer:

Step-by-step explanation:

The total number of marbles is 20

Question A

P(Red) = 4/20 = 1/5

P(yellow) = 9/20

P(Red then Yellow) = 1/5 * 9/20 = 9 / 100

Question B

P(B) = 6/20

P(B again) = 5/19 because you  have 1 less total plus 1 less blue.

P(B and B) = 6/20 * 5/19

P(B and B) = 30/ 380 = 3/38

Answer:

7635

Step-by-step explanation:

350(.2+21.5)+40=7635

Answer:

7525

Step-by-step explanation:

you have to multiply

Answer:

93.50

(853.90 ; 1040.90)

Step-by-step explanation:

Mean, xbar = 947.4 mg

Sample size, n = 18

σ = 188

Margin of Error :

Tcritical * σ/√n

TCritical at 95% , df = n - 1 = 17 = 2.11

Margin of Error = 2.11 * 188/√18 = 93.50

The 95%, confidence interval :

Xbar ±Margin of error

Lower boundary = Xbar - margin of error

Lower boundary = 947.4 - 93.50 = 853.90

Upper boundary = Xbar + margin of error

Lower boundary = 947.4 + 93.50 = 1040.90

(853.90 ; 1040.90)

Answer:

84.82

Step-by-step explanation:

Answer: 84.82

Step-by-step explanation:

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Given

[tex]y = -2x^2 + 12x +7[/tex]

Required

The x coordinate of the vertex

Using the general form:

[tex]y = ax^2 +bx +c[/tex]

The x coordinate is:

[tex]x = -\frac{b}{2a}[/tex]

In [tex]y = -2x^2 + 12x +7[/tex]

[tex]a = -2[/tex]

[tex]b = 12[/tex]

[tex]c = 7[/tex]

So, we have:

[tex]x = -\frac{b}{2a}[/tex]

[tex]x = -\frac{12}{2*-2}[/tex]

[tex]x = -\frac{12}{-4}[/tex]

[tex]x = \frac{12}{4}[/tex]

[tex]x = 3[/tex]

Answer:

(8, -1)

Step-by-step explanation:

The midpoint given two points (x1, y1) and (x2, y2) is:

([x1 + x2] / 2, [y1 + y2] / 2)

We have the point (x1, y1) as (-8, -7) and the midpoint as (0, -4). We can plug them in and create two equations, one to find x2, and another for y2.

0= [-8 + x2] / 2

0 = -8 + x2

x2 = 8

-4 = [-7 + y2] / 2

-8 = -7 + y2

y2 = -1

Therefore, point B is (8, -1)

Answer:

The aswer is buy a rabbit

Step-by-step explanation:

Answer:

1611.372

Step-by-step explanation: