Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = -24

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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The z-score for the time spent on advertisement as calculated is 1.666 .

According to a television station, there is 15  minutes on average of advertising every hour of broadcast time, with a standard deviation of 1.2 minutes.

i.e.

mean = 15

SD =1.2

Per hour's worth of advertising is represented by the random variable x.

z = x - mean / SD

Since x=17 , we have

z = ( 17 - 15 ) / 1.2

  = 2 / 1.2

  = 1.666

Consequently, this amount of advertising time has a z-score of -1.666.

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.

A standard normal table is a mathematical table for the values of, displaying the values of the cumulative distribution function of the normal distribution. It is also known as the unit normal table or the z-score table. The Z-score, commonly referred to as the standard score, expresses how far away from the mean an object is.

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Answer:

250

Step-by-step explanation:

14 x 4 = 56

56 divided by 2 = 28

Answer:

3 * 3

4    1

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

Using the properties of confidence interval and probability we can conclude from the observations that the process is not a statistical control process.

(a) The process is not a statistical process .

b) The control & chart is not in control because there some false alarm at 8-15. There are some special causes in the clata (may be in manufacturing) exist.

(c) (i) Given that Target length = 37 USL + LSL = 37 USL+2SL= 74

and Tolerance = 0.01 USL LSL = 0.01

After Solving equation 1 & 2 we get VSL = 37.005, LSL = 36.995

cp =2 × 0.01 6/0.05 × 2.059 = 0.01 ×0.1457 = 0.0686

(ii) Cp = min (Cpu, CP).

Cpu = 37.005-37 0.073 = 0.06849

CPL = 0.06859

Срк = 2 × 0.06849 = 0.024

The application of statistical methods to monitor and regulate the quality of a manufacturing process is known as SPC (statistical process control) or SQC (statistical quality control).

This increases the efficiency of the process, resulting in more specification-conforming goods with less waste (rework or scrap). SPC can be used to any process that can measure the output of a "compliant product" (a product that fulfils standards).

The primary tools of SPC are run charts, control charts, a focus on continuous improvement, and experiment design. Manufacturing lines are one example of a process that employs SPC.

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We use the arctangent function to find the angle \(theta\)

\(\theta= 2(3 \sqrt{2},-3 \sqrt{2}) \approx 225.000^{\circ}\)

Inverse tangent (notation: arctan or tan-1) is the inverse of the tangent. That is: Arctangent and tangent are inverse functions, so their composition is an identity. 

To find \(z_{-} 1+z_{-} 2\), we add the complex numbers in rectangular form:

\($$z_1+z_2=6\left(\cos 55^{\circ}+i \sin 55^{\circ}\right)+6\left(\cos 135^{\circ}+i \sin 135^{\circ}\right)$$\)

Simplifying, we get:

\($$z_1+z_2=6\left(\cos 55^{\circ}+\cos 135^{\circ}+i \sin 55^{\circ}+\sin 135^{\circ}\right)$$\)

Using the trigonometric identities \(\backslash \cos (\backslash p i-\backslash$ theta) =- $\backslash \cos \backslash$ theta\$ and $\$ \backslash \sin (\backslash p i-$ $\backslash$ theta) $=\backslash \sin \backslash$ theta\), we can simplify this to:

\($$z_1+z_2=6\left(-\frac{\sqrt{2}}{2}+i \frac{\sqrt{2}}{2}\right)=-3 \sqrt{2}+3 i \sqrt{2}$$\)

Therefore, \(z_{-} 1+z_{-} 2=-3 \backslash s q r t\{2\}+3 i \backslash s q r t\{2\}\)

To find \(r\) and \(theta\) such that \(z_{-} 1+z_{-} 2=$ rlangle $\backslash$ theta\), we first calculate \(r\) as the magnitude of \(z_{-} 1+z_{-} 2\) :

\($$|r+s i|=\left|z_1+z_2\right|=\sqrt{(-3 \sqrt{2})^2+(3 \sqrt{2})^2}=3 \sqrt{2} .$$\)

Next, we use the arctangent function to find the angle \(theta\)

\(\theta= 2(3 \sqrt{2},-3 \sqrt{2}) \approx 225.000^{\circ}\)

Hence, we can say the values of both the z_{-} 1+z_{-} 2 and r is \(z_{-} 1+z_{-} 2=-3 \backslash s q r t\{2\}+3 i \backslash s q r t\{2\}\) and \(\theta= 2(3 \sqrt{2},-3 \sqrt{2}) \approx 225.000^{\circ}\) respectively.

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Answer:

C. 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.

Step-by-step explanation:

Using the key: 2|4 = 24, the following are the set of data represented by the stem-and-leaf plot showing:

Row one, 1| 5 6 6 7 9:

This means there are 5 data set for the first row which are:

15, 16, 16, 17, 19

Row two, 2|0 1 3:

There are 3 data here, which are:

20, 21, 23

Row 3, 3|2: = 32

Row 4, 4|2: = 42

The correct set of data are 15, 16, 16, 17, 19, 20, 21, 23, 32, 42.

Correct option is C.

The height of the can in inches is 44.68 inches

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

Volume = 8 cubic inches

Radius = 3/4 inches

The volume of a cylinder is calculated as

V = πr²h

substitute the known values in the above equation, so, we have the following representation

π * (3/4)²h = 8

So, we have

h = 8π/[(3/4)²]

Evaluate

h = 44.68

Hence, the height of the can in inches is 44.68 inches

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Answer:

If you are trying to simplify this then the answers 304 + 13x

Step-by-step explanation:

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Answer:

a= 108 degrees

b=88 degrees

c= 90 degrees

d= 90 degrees

Step-by-step explanation:

For a degrees since 72 degrees and a degrees make a straight angle:

180-72= a

So, a=108 degrees

Same goes for b degrees:

180-92=b

So, b=88 degrees

For c degrees, you need to know that the sum of the angles in a quadrilateral equal to 360 degrees.

So, 74+a+b+c=360

= 360- (74+108+88)=c

= 90 degrees= c

So since d degrees and c degrees make a straight angle,

180-90=d

90 degrees= d

A card is randomly selected from a standard 52 card deck, the probability of selecting a non-face card from a standard 52-card deck is 0.77.

In a standard 52-card deck, there are 12 face cards (4 jacks, 4 queens, and 4 kings).

To find the probability of selecting a card that is not a face card, we need to determine the number of non-face cards and divide it by the total number of cards in the deck.

Number of non-face cards = Total number of cards - Number of face cards

Number of non-face cards = 52 - 12

Number of non-face cards = 40

Now, we can calculate the probability:

Probability of selecting a non-face card = Number of non-face cards / Total number of cards

Probability of selecting a non-face card = 40 / 52

Dividing 40 by 52 gives us 0.7692. Rounding this to two decimal places, the probability of selecting a card that is not a face card is approximately 0.77.

Therefore, the probability of selecting a non-face card from a standard 52-card deck is 0.77 (rounded to two decimal places).

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

4(R + 5 + R + 2) [Option B]

Step-by-step explanation:

GIVEN :-

TO FIND :-

FORMULAE TO BE USED :-

For a rectangle with length 'l' and width 'w' , its perimeter = 4(l + w)

SOLUTION :-

Perimeter = \(4(R + 5 + R+2)\)

                 = \(4(2R + 7)\)

                 = \(8R + 14\)

Given = b = 20cm, A = 500cm2 l=?

A = l×b,

500= l×20

l= 25

THE LENGTH IS 25 CM

Answer:

25 cm

Step-by-step explanation:

area of a rectangle = length × breadth

500 = length × 20

500/ 20 = length

25 = length

therfore, the length of the rectangle is 25 cm

Hey!

For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)

This way, it will be able to graph and get the answers quicker!

The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).

Answer:

Approx 8.47 \(m^2\)

Step-by-step explanation:

First, find the area of the entire figure. Which can be found by multiplying the two sides of the square by each other=  \(6*6=36m^2\)

Now, ignore the square and just focus on the pentagon and finding the area of that. The formula for the area of a pentagon is \(A=1/2Apothem*Perimeter\)

In order to find the apothem, you can make a mini triangle and use trig (Tangent) to find the height (apothem) of the triangle. Then, you take the side length of the base of the pentagon which is 4 and then you multiply it by the number of sides (5) to get 20. Then, by plugging it into our formula, you use the apothem*10 (divided by 2) and you get the area, and then you just subtract that from 36.

Answer:

1/10

Step-by-step explanation:

Answer:

363

Step-by-step explanation:

Answer:

363 ft in 11 seconds

Step-by-step explanation:

Your welcome

The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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Answer:

what's that? lol

Step-by-step explanation:

should I make the question? lol

2×6×5= 60

great day :)

9514 1404 393

Answer:

  58.7 °F

Step-by-step explanation:

At 5000 feet, the airplane is 5 times 1000 feet above the ground, so the temperature will have dropped 5 times 1.2 °F.

  64.7 - 5×1.2 = 64.7 -6.0 = 58.7

At 5000 feet, the temperature is 58.7 °F.

Measure of angle YLA in the given figure is 32°.

Given,

∠LYA = 21°

∠GLA = 32°

A is the incentre of the ΔPQR.

Therefore,

∠YLA = ∠GLA

∠LYA = ∠GYA

=> ∠YLA = 32

Hence, Measure of angle YLA in the given figure is 32°.

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The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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To answer these questions, I would need more information about the population being referred to. Specifically, I would need to know the number of residents who have only completed high school and are under age 50, as well as the total number of residents who have only completed high school. I would also need to know the number of residents aged 20-29 who have completed only high school or just some college, as well as the total number of residents aged 20-29.

Do you have this information available?

Answer:

  54 square units

Step-by-step explanation:

Each of the 6 squares in the net is a square 3 units on a side. The area of that square is ...

  A = s²

  A = 3² = 9 . . . . substitute the side length

The total area of the cube is ...

  cube area = 6(9 units²) = 54 units²

The square is reflected but the part Ellen sides would remain the same as the starting location.

Side PO would be parallel to side PS. INCORRECT

Side PQ would be parallel to side SR. CORRECT

Side PS would be parallel to side QR. CORRECT

Answer:

it is D

Step-by-step explanation:

Step-by-step explanation:

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

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

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number