1. A large retailer prepares its customers' monthly credit card bills using an
automatic machine that folds the bills, stuffs them into envelopes, and seals the
envelopes for mailing. Are the envelopes completely sealed? Inspectors choose
40 envelopes at random from the 1000 stuffed each hour for visual inspection.
Identify the population and the sample (Population: ... Sample: ...) *

Answer:

2 stickers

Step-by-step explanation:

We multiply his 7 friends by 8 (stickers given to each friend) to get 56 stickers given total.

We subtract 56 from 58 to get 2 stickers remaining for Justin.

Step-by-step explanation:

Justin is giving out 8 stickers to 7 of his friends

To find out how many stickers he passed out, you would need to do 7×8

7×8 = 56

Now you want to subtract 56 from 58 to figure out how many stickers he had left

58 - 56 = 2

Justin is left with 2 stickers

I am sorry if this didn't make sense

I hope this helps!!!!

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

x=4

Step-by-step explanation:

2log(x)+log(5)=log(80)

log(x^2)+log(5)=log(80)

log(5x^2)=log(80)

5x^2 =80

x^2 =80/5

x^2=16 , taking square root both sides

x=√16

=4

Answer:

5q + 9

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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9514 1404 393

Answer:

Step-by-step explanation:

  \(\begin{array}{rrr}100111_2&732_8&3213_4\\+11101_2&-67_8&+221_4\\\cline{1-3}1000100_2&643_8&10100_4\end{array}\)

It can be convenient to convert these to base 8 for comparison. (Bases 2, 4, and 8 are easily interconverted by regrouping the base-2 bits of the number.) Using periods to mark groups of bits, we have ...

  1000100₂ ⇒ 1.000.100₂ ⇒ 104₈

  10100₄ ⇒ 01.00.01.00.00₂ ⇒ 0.100.010.000₂ ⇒ 0420₈

Then the numbers in order are, smallest to largest, ...

_____

When the sum of digits in a column equals or exceeds the base, then 1 is carried to the next column to the left, and the excess is written as the sum of the column. In base 2, this means 1+1 = 10. In base 4, this means 3+1=10, or 1+2+2=11.

Subtraction of a larger digit from a smaller one can be done by "borrowing" 1 (the amount of the base) from the next column to the left. In base 8, for example, this means 32-7 = 23.

These rules are identical to the rules that apply in base ten arithmetic.

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

768

Step-by-step explanation:

64*12

Answer:

768

Step-by-step explanation:

12x64=768

Answer:

65°

Step-by-step explanation:

Complimentary angles are two angles that add up to 90°

So, to find the unknown angle, simply subtract 25 from 90.

90-25=65

The other angle is 65°

There must be several solutions for which the lines of the equation coincide for an equation system to be a dependent consistent system. D is the right answer.

The lines of the equations must be parallel to one another for a system of equations to have no meaningful solution.

Consistent Method

First, Dependent Consistent System

The complete question is,

Which answer describes the graph of the system of equations?

{y=4-x

{2y=8-2x

A) the point of intersection is (0,4)

B) the point of intersection is (4,0)

C) the lines are parallel

D) the lines coincide

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Answer:

d (the line coincide)

Step-by-step explanation:

we all need help

Answer:

Y=1/8x

Step-by-step explanation:

To find answers to tables, you simplify the ratios as much as possible.

Answer:

79.54

Step-by-step explanation:

as you are dividing move the decimal 2 places to the right

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

Answer:

x=-16/3

Step-by-step explanation:

9x-8(-8)=16

9x+64=16

9x=-48

x=-48/9

x=-16/3

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

Answer:

176degrees

Step-by-step explanation:

Find the diagram attached. From the diagram;

arcGC  = = arc BG

5x + 28 = 9x - 20

5x - 9x = -20  28

-4x = -48

x = -48/-4

x = 12

Get <AB

Since <AB = <BC

<BC = arcGC +arc BG

<AB = arcGC+ arc BG

<AB = 5x + 28 + 9x - 20

<AB = 14x + 8

<AB = 14(12) + 8

<AB = 168 + 8

<AB = 176degrees

Hence the arc AB is 176degrees

Answer:

1/2

Step-by-step explanation:

Look for the angle of -60, you will see the coordinate (1/2,-sqrt3/2)

The cosine function is the x value of each coordinate of the unit circle

Let me know in the comments if you have any questions! If you could mark this answer as the brainliest I would greatly appreciate it! :D

Answer:

Step-by-step explanation:

c 1/2

Answer:

x = 15°

Step-by-step explanation:
165 and x are on a straight line which means they are supplementary.
Set up the equation and solve for x:

165 + x = 180

x = 180 - 165

x = 15

Answer:

A and C

Step-by-step explanation:

A)  y = (1/2)x + 2    {Compare with y =mx +b}

slope = (1/2)

C) y = -2x + 4

Slope = -2

\(\dfrac{1}{2}*-2 = -1\)

When product of two slopes is (-1), then the lines are perpendicular.

Answer:

This answer would be 1/8

Step-by-step explanation:

All of the colors are equal and there are 4 colors and 3 numbers if you try putting it together then yes it does equal 1/8 because it is equal and it fits just right for both spinners.

The value of x in the circle is given as follows:

x = 23.

The value of x in the circle is calculated using the tangent-secant theorem, which states that when a secant and a tangent are drawn to a circle from the same external product, the product of the length of the secant and of it's external segment equals the square length of the tangent segment.

The parameters for this problem are given as follows:

Then, the value of x is obtained applying the product from the tangent-secant theorem as follows:

(2x + 29)(2x + 2) = (3x - 9)²

4x² + 62x + 58 = 9x² - 54x + 81

5x² - 116x + 23 = 0.

Which is a quadratic equation with the coefficients given as follows:

a = 5, b = -116, c = 23.

Using a quadratic equation calculator, the solutions are given as follows:

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Answer:D. The graph is stretched horizontally and shifted 1 unit to the right.

Step-by-step explanation: The absolute value function |s| reflects the part of the graph below the x-axis to above the x-axis, resulting in a V-shape. The modification (s - 1)|s| shifts this V-shape 1 unit to the right and stretches it horizontally by a factor of 1. Therefore, option D is the correct answer.

In mathematical modelling, we take a real-world problem and write it as an equivalent mathematical problem.

We then solve the mathematical problem, and interpret its solution in terms of the real-world problem.

After this we see to what extent the solution is valid in the context of the real-world problem.

Mathematical modeling is one of the bases of mathematics education. Mathematical modeling is described as conversion activity of a real problem in a mathematical form. Modeling involves to formulate the real-life situations or to convert the problems in mathematical explanations to a real or believable situation.

It's extremely precise, since it's math-based, which allows you to develop accurate ideas and assumptions. It's concise, with clear and established rules. It gives you direction when trying to solve a problem.

characters of modeling;

It may be changed or manipulated with relative ease.

It is simplification/Idealization. Mathematical modeling has many benefits related to real-world problems, but the main disadvantages are process simplification, specific rules of the model, and lack of information or data monitoring.

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In every 10 minutes an average of 3 customers will arrive to the pizza station

Given,

The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.

We have to find the average number of customers arrives in each 10 minutes.

Here,

The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P (X = x) = (e^-μ × μ^x) / x!

Where,

The number of successes is x.

The Euler number is e = 2.71828.

μ is the average over the specified range.

Now,

Rate of 18 customers per hour;

μ = 18 n

n is the number of hours.

Number of customers arrive in each 10 minutes

10 minutes = 10/60 = 1/6

Then,

μ = 18 x 1/6 = 3

That is,

In every 10 minutes an average of 3 customers will arrive to the pizza station.

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