3. (a) The elements of A={7,14,21,28,35,42,…,2121} are all multiples of seven. Based on this, we know that there are elements in A. (b) Find the number of elements in the set B={56,63,70,77,84,91,…,2121}.

Answer: 1107 ÷ 3 = 369

Ok done. Thank to me :>

Answer:

no

Step-by-step explanation:

when you multiplied 4 on each side, the 4 cancels out the /4 and nothing more. after that you'd have:

x + 2 = 20

x = 18

hope this helps :D

On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.

In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve

Answer:

7 inches represent 583.3 miles.

Step-by-step explanation:

3/250=7/x

cross product

3*x=250*7

3x=1750

x=1750/3

x=583.3

Answer:

6y+12

Step-by-step explanation:

4(y+3)+2y

= 4y+12+2y

=6y+12

Answer:

Step-by-step explanation:

\(\sf 4(y+3)+2y\)

Expand (Distributive property):-

\(\sf 4y+12+2y\)

Combine like terms:-

\(\sf 4y+2y+12\)

\(\sf (4y+2y)=6y\)

\(\sf 6y+12\)

__________________

Hope this helps!

Have a great day! :)

By referring to the table that summarizes service times of dinners at a fast food restaurant, we can see that there are 49 individuals who are included in the summary.

We may calculate the total number of people by simply adding the frequencies:

9 + 20 + 13 + 4 + 3 = 49 people

A measure of an event's frequency is how often it occurs within a specific time frame. For clarity, it is sometimes referred to as temporal frequency and is distinct from angular frequency. The class interval is the distance between the top and lower class bounds of a frequency distribution table. Data are discrete pieces of factual information that are logged and used for analysis. Raw data is the foundation from which statistics are derived. Statistics are the results of data analysis, including its interpretation and presentation. The outcomes of data analysis, including its interpretation and presentation, are statistics. It includes techniques for data collection, evaluation, analysis, and interpretation, is the study and manipulation of data.

Note that the full question is:

Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?

Time (sec) Frequency

60 to 119 9

120 to 179 20

180 to 239 13

240 to 299 3

300 to 359 4

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45 billion Korean Won is equal to 45 million US Dollars.

The formula for  (USD) is USD = KRW / 1000. To calculate 45 billion won in USD, we must first convert KRW to USD. 45 billion KRW is equal to 45,000,000,000 KRW. Using the formula above, we can calculate the amount of USD:

USD = 45,000,000,000 KRW / 1000

USD = 45,000,000 USD

Therefore, 45 billion won is equal to 45 million US Dollars.

To better understand this conversion, it is important to remember that one US Dollar is equal to 1000 Korean Won. As an example, if you have 10,000 Korean Won, you can convert that to USD by dividing 10,000 by 1000, which equals 10 USD. The same concept applies when converting larger numbers. To convert 45 billion KRW to USD, we must divide 45,000,000,000 by 1000, which equals 45,000,000 USD.

In conclusion, 45 billion Korean Won is equal to 45 million US Dollars.

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Answer:

all right angles are congruent (90 degrees)

Step-by-step explanation:

I don't know if there are choices for you, but all right angles are congruent, meaning they are the same measurement

Answer:

870 I hope this helps

Step-by-step explanation:

770+100

Answer:

870.

Step-by-step explanation:

We are looking for a new number which is 100 more than 770.

We will get the new number by adding 100 to 770.

We write it down as:

\(770 + 100 = 80\)

And finally the solution for: What number is 100 more than 770?

is 870.

Answer:

130g

Step-by-step explanation:

Answer:

Step-by-step explanation:

The proportion of the length of the smaller rectangle to the bigger rectangle must be 2 : 5 as well.

Hence x : 11 = 2 : 5.

Or x = (2/5) x 11 = 22/5.

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

50 %

Step-by-step explanation:

i think this is the answer

After answering the given query, we can state that  where w is the graphs amount of service weeks and c is the cost in dollars. Solution: c = 7w plus 35

Mathematicians use graphs to visually depict or chart facts or values in a logical way. Usually, a graph point will show the connection between two or more objects. A graph is a non-linear data structure made up of nodes, also known as vertices, and lines. The nodes, also referred to as edges, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, while edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical representations of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped exponential graph.

Y = mx + b, where y is the expense (in dollars), x is the number of weeks, m is the slope, and b is the y-intercept, can be used as the slope-intercept form of a linear equation.

As we can see from the histogram, when w = 1, the price is $35, so the y-intercept is set to b = 35. Additionally, we can see that the price rises by $7 for each extra week of service, resulting in a slope of m = 7.

Consequently, the following equation depicts the price of the food delivery service:

c = 7w + 35

where w is the amount of service weeks and c is the cost in dollars.

Solution: c = 7w plus 35

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Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

The Mean is 43 and Standard Error of x is 0.7225

What is Statistics?

Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.

We are provided with the Sample Size (n) = 16

Mean (μ) = 43

Standard Deviation (σ) = 1.7

We need to find:

Standard Error of x

So, to calculate Standard Error of x we need to find variance first

Variance = (Standard Deviation)^2

Variance = 1.7 * 1.7 = 2.89

Standard Error = Variance / √Sample Size

Standard Error = 2.89 / √16

Standard Error = 2.89 / 4

Standard Error of x is 0.7225

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Answer:

D

Step-by-step explanation:

y =94..multiply 5 by94 and get 470

Answer:

y = \(\frac{29}{3}\)

Step-by-step explanation:

88 = 10y + 30 - 4y , that is

88 = 6y + 30 ( subtract 30 from both sides )

58 = 6y ( divide both sides by 6 )

\(\frac{58}{6}\) = y , that is

y = \(\frac{29}{3}\)

ANSWER

One carton

EXPLANATION

First, we have to find the total volume of ice cream of 100 scoops. Let's assume that the scoops are perfect spheres, whose radius is 3 cm. The volume of each scoop is,

Now, to find what is the total volume of ice cream in 100 scoops, we have to multiply the volume of one scoop by 100,

We know that the ice cream comes in cylindrical cartons, so we have to find the volume of ice cream each carton contains, if the radius is 11 cm and the height is 30 cm,

Note that the volume of one carton of ice cream contains 30π cm³ more volume of ice cream than the volume in 100 scoops. This means that one carton will be enough to serve 100 scoops of ice cream - and there will be a little less than one scoop left.

Answer:

relation

Step-by-step explanation:

To be a function each element from set x has only one unique element in y.

In our case x = 0 has two outcomes y = 1 and y = 3, so is a relation.

f(x) = y

f(-2) = 5

f(0) = 1  and f(0) = 3

f(5) = 8

f(7) = 5

Some memory aids:

Think about if we count how many likes we got on a social media post at the end of the day, then we can not have different numbers for same post yet we can have the same number of likes on different posts to be a function.

f(post 0) = 1  like  and f(post 0) = 3 likes ❌ not a function because same post has different numbers of likes at the end of the day -not possible

f(post -2) = 5 likes and f(post 7) = 5 likes ✅ could be a function because different posts can have the same number of likes at the end of the day

Both the triangles are not similar.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Two triangles are comparable if they have two pairs of sides that are in the same ratio and if the included angles are likewise equal.

The square of any ratio between any two matching sides of two comparable triangles is equal to the ratio of their areas. As an illustration, Area of ABC/Area of DEF equals (AB)2/(DE)2 = (BC)2/(EF)2 = (AC)2(DF)2 for any two comparable triangles ABC and DEF.

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Answer:

Step-by-step explanation:

firstly ,

Given That

principal(p)=$2800

Rate(R)=4.25%

Time(T)=30 years

now , we have from formula

simple interest (S.I)=   P × T ×R / 100

    =   (2800×30×4.25)    /   100

    =  $3570  

Therefore , Simple Interest in 30 years will be $3570

now , we know

Amount(A) =  Principal (P) + Interest (I)

                 =    $2800 + $3570

                   = $ 6370

Therefore the simple interest in 30 years will be $3570 and the total amount in the bank will be $6370 .

For a sample of hospitals related to shorten the average length of stay (LOS) of their patients,

A) The 90% confidence interval to estimate the population mean LOS are 3.3362 and 4.2638.

B) The Interpreted interval in terms of this application is equals to (3.3362,4.2638).

C) The meaning of phrase "90% confidence interval" is number that fall within the upper as well as lower boundaries of distribution.

We have a health insurers and federal government ordered to hospitals regarding to short or decrease the average length of stay of their patients.

population Mean of LOS = 4.5 days

Sample size of hospitals, n = 20

Sample mean, \( \bar x\) = 3.8days

Standard deviations, \( \sigma\)

= 1.2 days

A) The population estimate mean LOS for the state's hospitals at 90% confidence interval,

The degrees of freedom, df = 20 -1

= 19

90% confidence interval then the confidence interval is 0.90. So, 1 −∝

= 0.90

=> ∝ = 0.1

=> ∝/2= 0.05

The critical t value for confidence 0.05 and degree of freedom 19 is equals 1.72.

Using the confidence interval formula,

\( \bar x ± t_{(0.05, 19)} \frac{\sigma}{\sqrt{n}}\)

\( 3.8 ± 1.729\frac{1.2}{\sqrt{20}}\)

= (3.3362,4.2638)

So, required values are 3.3362 and 4.2638.

(b) In terms of this application, the interval, 90 percent confident that the populations mean length of remain (LOS) for the state’s hospitals(μ) lies among 3.3362 and 4.2638.

c) The term 90% confidence interval expresses a number that will fall within the upper as well as lower boundaries of a probability distribution.

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The equation in slope-intercept form of line k is y = - x + 5.

What is the equation of the line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

The equation of a line in slope- intercept form is

y = mx + c

where,

   m is the slope and c the y- intercept.

We have,

y = x - 3

∴  It is in the slope intercept form.

with slope m = 1

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular} = -\frac{1}{m} = -\frac{1}{1} = -1\) ,

The partial equation of line j is,

y = - x + c

By substituting (2, 0) into the partial equation we get, c

0 = - 2 + c

c = 0 + 2 = 2

∴ c = 2

The equation of line j is y = - x + 2.

Similarly,

The slopes of parallel lines are the same.

The partial equation of line k is,

∴ y = - x + c

By substituting (- 1, 6) into the partial equation we get, c

6 = 1 + c

c = 6 - 1 = 5

∴ c = 5

The equation of line k is y = - x + 5.

Therefore, the equation in slope-intercept form of line k is y = - x + 5.

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Answer:

B) Multiply the number of hours by 2

Step-by-step explanation:

Solve :    8   =  0

A a non-zero constant never equals zero.