8.) What is the circumference of a circle?
It is the perimeter of the circle?
It is the area of the circle?

Answer: \(184,724.153\)

Step-by-step explanation:

Given

In 1990, there were 1200 cell phone subscriber in small town of stephenville

It is increasing by 75% per year after 1990

In year 1991 it is

\(\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)\)

In year 1992 it is

\(\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2\)

So, it is increasing as \(1200(1.75)^x\)

where \(x=\)no of years spent

After 9 years, it is

\(\Rightarrow 1200(1.75)^9=184,724.153\)

Answer:

give me brainllest if right

no

Step-by-step explanation:

Answer:

\(y = 2x + 1 \\ substitute \: for \: y \: in \: x + y = 7 \\ x + (2x + 1) = 7 \\ 3x = - 6 \\ x = - \frac{1}{2} \\ y = 2( - \frac{1}{2} ) + 1 \\ y = - 1 + 1 \\ y = 0\)

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

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Two cards can be played from a deck of well shuffled cards in 1326 ways.

In mathematics, permutation is the process of arranging each component of a set in the same order or sequence. In other words, rearranging a set's elements if they are currently ordered is the process of permuting. Mathematicians use permutations in almost all academic fields.

When different orderings on a specific finite set are taken into account, they frequently arise. When choosing components from a collection that used the combination method, the sequence of selection is immaterial, as contrast to permutations.

There are exactly 52 cards in a standard deck

Number of ways 2 cards can be drawn is 52C2

We know that

\(^{52}C_2 = \frac{52!}{(52-2)!}\)

Solving we get 1326

Therefore two cards can be played from a deck of well shuffled cards in 1326 ways.

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A leaf plot, also known as a stem-and-leaf plot, is a way of displaying numerical data by separating each value into a "stem" and "leaf" and organizing them in a table for easy analysis.

To find the value of the 18th percentile for this data set, we need to first determine how many scores fall below that percentile.

Since there are 31 scores in total, the 18th percentile would correspond to the score at the 0.18(31) = 5.58th position when the scores are listed in ascending order. However, since we are given a stem-and-leaf plot rather than the raw data, we need to estimate the position of the 18th percentile based on the plot.

Looking at the plot, we can see that there are a total of 31 scores, with 12 of them falling in the range from 120 to 139 (inclusive) and 9 of them falling in the range from 140 to 159 (inclusive). This means that the 18th percentile must be somewhere in the first group of scores.

To estimate the exact position, we can use the fact that the 12 scores in the first group represent 12/31 = 0.3871 (rounded to 4 decimal places) of the total number of scores. To find the position of the 18th percentile within that group, we can multiply that fraction by the number of scores in that group:

0.3871 x 12 = 4.6452 (rounded to 4 decimal places)

So the 18th percentile falls somewhere between the 4th and 5th scores in the first group. Looking at the stem-and-leaf plot, we can see that the 4th score is 127 and the 5th score is 133.

Therefore, the value of the 18th percentile for this data set is between 127 and 133.5 (since we know it falls between the 4th and 5th scores in the first group, and there is a gap of 0.5 between adjacent scores).

The answer choices given are 152, 133, 127, and 133.5. Of these, the only one that falls within the range we just determined is 133. Therefore, the answer is:
O 133

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Answer:

y = 0.75x + 17

Step-by-step explanation:

y - 20 = 0.75(x-4)

y - 20 = 0.75(x) + 0.75(-4)

y - 20 = 0.75x -3

y = 0.75x -3 + 20

y = 0.75x + 17

y - 20 = 0.75(x - 4)    |add 20 to both sides

we can simplified equation:

use the distributive property: a(b + c) = ab + ac

y = 0.75x - 0.75 · 4 + 20

y = 0.75x - 3 + 20

D

Step-by-step explanDAdadadad

Answer:

Pretty sure the Answer is:

=XOR(B4=12;C4<9) and =AND(B4=12;C>9) return TRUE, if the value in cell B4 is 12 and the value in C4 is 29.

Step-by-step explanation:

An =XOR function returns TRUE if any of the clauses in it are true, while an =AND function returns true only if both are true. Therefore, since in =XOR(B4=12;C4<9) B4 does equal 12, since this is an =XOR function. =AND(B4=12;C>9) is correct because B4 = 12 and C4 is greater than 9.

Hope this made some sense...

Mark brainliest if it helped!

The slope of the line is 2.4 / 3.

The slope of a line is the change in the dependent variables with respect to the change in the independent variables.

In other words, the slope of a line is the change in y with respect to the change in x.

Therefore,

slope of the line = y₂ - y₁ / x₂ - x₁

Hence, (4, 1.2)(10, 6)

x₁ = 4

x₂ = 10

y₁ = 1.2

y₂ = 6

Therefore,

slope of the line = 6 - 1.2 / 10 - 4

slope of the line = 4.8 / 6

slope of the line = 2.4 / 3

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Answer: 1 1/24

Step-by-step explanation:

2/3 - 3/8 = 25/24. Reduce it and you get 1 1/24

Answer:

a=10

Step-by-step explanation:

a = √(c² - b²)

a=√(26²-24²)

a=√676-576

a=√100

a=10

hope this helps

please mark brainliest!

Step-by-step explanation:

let's name the variables for the age of the people as the people themselves :

orlando = omar + 12

carl = 3×orlando

carl + orlando + omar = 68

using the first equation in the second equation, and then that result and the first equation in the third equation :

carl = 3×(omar + 12)

3×(omar + 12) + (omar + 12) + omar = 68

3×omar + 36 + omar + 12 + omar = 68

5×omar + 48 = 68

5×omar = 20

omar = 4

orlando = omar + 12 = 4 + 12 = 16

carl = 3×orlando = 3×16 = 48

the ratio omar : carl : orlando

4 : 48 : 16 = 1 : 12 : 4

Answer:

= 3/10 cm or you can put 0.3 cm

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Answer:

1) Radius = 17 cm

2). CD = 19.3 cm

Step-by-step explanation:

1). O is the center of the given circle.

 By joining the center and point A located at the circumference of the circle,

 OA = radius of the circle.

 Length of chord AB = 30 cm

 "Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"

  By the given property, OM equally divides the chord AB.

 AM = MB

 AM = \(\frac{1}{2}(AB)\)

 AM = \(\frac{10}{2}\) = 5 cm

 By applying Pythagoras theorem in ΔOAM,

 AO² = OM² + AM²

 AO² = 8² + 15²

 AO =  √289

 AO = 17 cm

 Therefore, radius of the circle = 17 cm

2). Since, OT, OC and OA are the radii of the given circle,

  OT = OC = OA = 17 cm

  ON = OT - NT

         = 17 - 3

         = 14 cm

   By applying Pythagoras theorem in ΔOCM,

   OC² = ON² + CN²

   17² = 14² + CN²

   CN = \(\sqrt{(17^2-14^2)}\)

         = \(\sqrt{93}\)

         = 9.64 cm

     Since, CD = 2(CN)

      CD = 2 × 9.64

             = 19.29 cm

              ≈ 19.3 cm

Answer:

3159.853 km

Step-by-step explanation:

The question says a square has an area of 9,984,670 km^2, which means that all sides are the same length. So you can use the equation:

9984670 = (x)(x) which rearranges to 998470 = x^2

get the square root and you get:

x = 3159.853 km

The required length of sides of the Canada is 3159.85 Kilometers.

Given that,
The total area of Canada is 9 984 670 km2. To calculate the side length of a square with the same area. Show your work.

Perimeter, is the measure of the figure on its circumference.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The area of the square = 9984670
side × side = 9984670
side = √ 9984670
side = 3159.85

Thus, the required length of sides of the canacda is 3159.85 Kilometeres.

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All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

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Answer: the 4th/last option

Step-by-step explanation:

Y goes up when x goes down or up. When x = 0, y = 2

Step-by-step explanation: I like to have the 3 on the

outside and we can just write it as y = 3|x| + 2.

Now, we know that this is the form y = a|x - h| + k where

(h, k) represents the vertex of the function.

Notice that there is no value of h so we say that h = 0.

In addition, we know that k = 2 so our vertex is (0, 2).

This eliminates the first graph and the third graph.

Since a is positive, our function opens upward.

So graph 4 matches with our equation.

The margin of error is 3.22

Given: A confidence interval is: ( 56.28 , 62.72)

Lower Limit = 56.28

Upper Limit = 62.72

Thus margin of Error E is given by:

E =\(\frac{Upper limit-lower limit}{2}\)

E =\(\frac{ 62.72-56.28}{2}\)

E\(= \frac{ 6.44 }{2}\)

E = 3.22

Therefore, the margin of error is 3.22

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The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

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Answer:

p<11-4

p<7

Step-by-step explanation:

we have 4+p<11 where we send 4 in another side and we get p<11-4 =p<7

a) The selection probability you would assign to each of the package designs is equals to the 0.20.

b) No

c) The probability for assign to each package design ( selecting 1 to 5 packages) are 0.05, 0.15,0.30,0.40,0.10 respectively. Package 4 is the highest probability of selection by a customer.

We have a company that manufactures tooth paste is studying five different package designs.

a) We assume that one design is just as likely to be selected by a consumer as any other design so the selection probability you would assign to each of the package designs for all is same = 1/5 = 0.20

b) No, the data confirm does not belief that one design is just as likely to be selected as another.

c) However, according to the actual experiment total number of consumers

= 100

P(package 1 is selected ) = 5/100 = 1/20

= 0.05

P(package 2 is selected ) = 15/100 = 0.15

P(package 3 is selected ) = 30/100 = 0.30

P(package 4 is selected ) = 40/100 = 0.40

P(package 5 is selected ) = 10/100 = 0.10

clearly, we see that all the probabilities differ from one another according to the actual experiment of 100 samples. So, the data does not confirm the belief that one design is just as likely to be selected by a consumer as any other design. Hence, package 4 has highest probability of selection.

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Complete question:

a company that manufactures toothpaste is studying five different package designs.

a) assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)?

b) In an actual experiment, 100 consumers were asked to pick the design they preferred. the following data were obtained. number of design times preferred 1 5 2 15 3 30 4 40 5 10

do the data confirm the belief that one design is just as likely to be selected as another? select

c) based on the actual experiment, what probability would you assign to each package design (to 2 decimals)? design probability 1 2 3 4 5 which package design has the highest probability of selection by a customer? select

Answer:

\(1.6m^3\) sand is to be added to make sand percentage \(60\%\)

Step-by-step explanation:

From the question we are told that:

Total soil \(N=3.2m^3\)

Initial sand percentage \(S_1=40\%\)

Final sand percentage\(s_2=60\%\)

Generally the sand and other particles division is mathematically given by

\(40\% of 3,2=1.28\)

and

\(60\% of 3.2=1.92\)

Generally  what will make 60\% of 3.2 40\% is mathematically given by

\(x=1.92*0.4\\x=4.8\)

Generally the sand to be added is mathematically given by

\(4.8sand-3.2sand =1.6m^3\)

Therefore

\(1.6m^3\) sand is to be added to make sand percentage \(60\%\)

Answer:

Number of jeans= 5 jeans

Step-by-step explanation:

Giving the following information:

A clothing store has sold $300 in shirts.

We need to sell $200 more to reach the objective.

To calculate the number of jeans to be sold, we need to use the following formula:

Number of jeans= total monetary amount / cost per jean

Number of jeans= 200 / 40

Number of jeans= 5 jeans

A one is 12

B is 25

just multiply by 6

Step-by-step explanation:

Answer:

a) 24cm²

b)150cm²

c)600m²

d)864mm²

e)294m²

f)486cm²

g)384mm²

h)1014cm²

Step-by-step explanation:

Find the area of the face, it's a cube so just multiply it by the length you have

2x2=4

It has 6 faces so multiply this by 6

6x4=24

Answer:

3. 4x^2y

Step-by-step explanation:

The GCF of 36 and 14 is 4.

The GCF of x^2y and x^2y^2 is x^2y

Multiply the two GCF and you get 4x^2y

Answer:

68 degree

Step-by-step explanation:

Please mark as brainliest

Answer:

11:24 pm

Step-by-step explanation:

9:54 pm + 1 hour (60 mins) = 10:54 pm

10:54 + 30 mins = 11:24 pm