The expression 12x + 8 represents the preimeter of a square. Write 12x+ 8 as a product. Then tell what expressions represents one side of the square.

Answer:The correct answer is C

Step-by-step explanation:

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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Answer: \(\boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}\)

Step-by-step explanation:

Let the smallest angle be x.

Then, the middle angle is x+30.

The largest angle is 2x+30.

Angles in a triangle add to 180 degrees, so:

\(x+x+30+2x+30=180\\\\4x+60=180\\\\4x=120\\\\x=30\)

So, the angles measure \(\boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}\)

The measures of all three angles are 30°,60°, and 90°.

A triangle is a 3-sided polygon occasionally (though not frequently) referred to as the trigon. Every triangle has three sides and three angles, some of which may be the same.

Find the measures of all three angles:

The three angles be a, b and c.

Angle “a" = x

Angle “b" = x + 30°

Angle “c" = “a" + “b"

                = x + x + 30°

                = 2x + 30°

Total angle in a triangle = 180°

Therefore;

“a" + “b" + “c" = 180°

Births; (x + (x + 30°) + (2x + 30°)) = 180°

So,

4x + 60° = 180°

x = (180° - 60°) ÷ 4

x = 30°

Plugging this value of x into the earlier equations for angles “a,” “b,” and “c."

“a" = x = 30°

“b" = x + 30° = 60°

“c" = 2x + 30° = 90°

The measures of all three angles are 30°,60°, and 90°.

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The value of the missing probability for the given probabilities and condition of independent events is equal to 0.45.

Here,

Probability of the events A and B are,

P(A) = 7/10

P(A or B) = 167/200

Apply the formula for the probability of the union of two events,

P(A or B) = P(A) + P(B) - P(A and B)

Since events A and B are independent, we know that,

P(A and B) = P(A) x P(B)

This implies,

P(A or B) = P(A) + P(B) - P(A) x P(B)

Substitute the values we have,

⇒ 167/200 = 7/10 + P(B) - (7/10) x P(B)

⇒ 167/200 = [ 7 + 10P(B) - 7P(B) ] /10

⇒167/20 = 7 + 3P(B)

⇒3P(B) = 167/20 - 7

⇒ 3P(B) = (167 - 140)/20

⇒3P(B) = 27 /20

⇒P(B) = 9/20

⇒P(B) = 0.45

Therefore, the value of the probability P(B) is equal to 0.45.

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complete question:

Events [A] and [B] are independent. Find the missing probability.

P(B) = ?

P(A) =

7/10

P(A or B)

167/200

Answer:

The distance is always the opposite of the difference.The distance is the absolute value of the difference.

Answer:

The distance is the absolute value of the difference

Step-by-step explanation:

Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:

Yes

Step-by-step explanation:

This relation is a function. Functions must have unique x-values for every y-value, this relation meets those requirements. Also, since this is a graph you can use the vertical line test. To pass the vertical line test you must be able to draw a vertical line on the graph and have it intersect with the function in no more than one place.

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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The height of the plane to the nearest meter is, 1023. So option A  is correct

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

To find the height of the plane, we can use the following formula:

height = horizontal distance x tanα

Plugging in the given values, we have:

height = 4,812 × tan(12°)

          = 4,812 × 0.21213

          = 1,015.7 meters

Rounding to the nearest meter, the height of the plane is 1,016 meters.

So the answer is 1,016 meters

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a) The cost of the cell phone plan at x = 0.5, x = 2, and x = 4 are:

C(0.5) = 39,  C(2)  =  39,  C(4)  =  69

b) Answers in part (a) represents the values of C at x = x₀. That is the cost of the cell phone given a certain amount of gigabytes of free data

c) C(x) is continuous at x = 2

Monthly cost of the cell phone C (x) = 39 for 0 ⩽ x ⩽ 2

Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:

C(0.5)  =  39

The monthly charges when given 2 gigabytes of data is $39

Since x = 2 is in the range 0 ⩽ x ⩽ 2

C(2)  =  39

Since x = 4 is in the range x  >  2

C(4) = 39 + 15(x - 2)

C(4) = 39  +  15 (4 - 2)

C(4)  =  39  +  15(2)

C(4)  =  39  +  30

C(4)  =  69

b) The answers in part A represents C(x). That is, the values of C at x = x₀

c) Is C(x) continuous at x = 2

C(2)   =  39

\(\lim_{x \to 2} C(x) = 39\)

Since \(\lim_{x \to 2} C(x) = C(2)\), the function C(x) is continuous at x = 2

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9514 1404 393

Answer:

  y = x² +x -6

Step-by-step explanation:

The graph shows the zeros of the function to be -3 and +2. This means the factored form of the function can be written as ...

  y = (x -(-3))(x -(+2)) = (x+3)(x-2)

Multiplying this out, we get the desired standard form:

  y = x² +x -6

We note that y=-6 when x=0, which matches the y-intercept. Nothing else needs to be done to this equation.

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

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Answer:

2 is the answer according to me

Answer:

Answer3. 9.9cm^3

Step-by-step explanation:

First calculate the volume of the whole pencil. Next, calculate the volume of the lead. Last, subtract. Take away the volume of the lead from the volume of the pencil:

VolWood =

VolPencil - VolLead

First, Volume of the pencil:

vol = pi•r^2•h

= 3.14•(.4)^2•21

= 10.5504 cm^3



Next, volume of lead:

vol = pi•r^2•h

= pi•(.1)^2•21

= .6594cm^3

Last, subtract:

VolWood =

VolPencil - VolLead

= 10.5504 - .6594

= 9.891

~= 9.9cm^3

The volume of the wood is 9.9cm^3.

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

Answer:

y=3x-8

Step-by-step explanation:

All you do is multiply the y-intercept which is -4 with the dilation of 2 which means multiply it by 2.

The dilated equation of a line by a factor of 2 is y = 3x - 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, line l has the equation y = 3x - 4.

We know when a line is dilated by a scale factor of k slope of that line remains the same only y-intercept b is multiplied by that scale factor k.

∴  y = 3x - 4 dilated by a scale factor of 2 is y = 3x - 8.

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Answer:

It means Progressing

In Progress

Step-by-step explanation:

The probability that exactly two out of three people will be alive at age 65 is 0.48 or 48%.

The probability that exactly two out of three people will be alive at age 65 can be found using the binomial probability formula. Let's call the probability of a person being alive at age 65 p. In this case, p = 0.8. The formula for binomial probability is given:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials and k is the number of successful outcomes.

For our case, n = 3 and k = 2. So, using the formula, we get:

P(X=2) = (3 choose 2) * 0.8^2 * 0.2^(3-2) = 0.48.

Therefore, the probability that exactly two out of three people will be alive at age 65 is 0.48 or 48%.

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Answer:

\( \displaystyle C = 12\)

Step-by-step explanation:

remember circumference formula

\( \displaystyle C = 2\pi r\)

given that,r=2 thus substitute:

\( \displaystyle C = 2\pi .2\)

simplify mutilation:

\( \displaystyle C = 4\pi \)

substitute the given value of π:

\( \displaystyle C = 4.3\)

simplify multiplication:

\( \displaystyle C = 12\)

and we are done!

Answer:

C = 12.

Step-by-step explanation:

Given :-

To find :-

Formula for finding circumference of circle;

Circumference of circle = 2 × π × radius.

Solution :-

Circumference of circle = 2 × π × radius.

Circumference of circle = 2 × π × 2

Circumference of circle = 4 π.

Circumference of circle = 4 × 3

Circumference of circle = 12

Answer:

x= -3

Step-by-step explanation:

you stupid

Answer:

x= -3

Step-by-step explanation:

its a bit easy..........................

Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

Answer:

x = 2.25 y =6

Step-by-step explanation:

Its a SCALE DRAWING with a factor of 3/4. Just multiply all the lengths of the first triangle by 3/4. 12 x 3/4 = 9    8 x 3/4 = 6   3 x 3/4 = 2.25

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Answer:

The greatest common factor (GCF) of 378 and 198 is 18.

Step-by-step explanation:

Find the prime factorization of 378

378 = 2 × 3 × 3 × 3 × 7

Find the prime factorization of 198

198 = 2 × 3 × 3 × 11

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 3

GCF = 18

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

Step-by-step explanation:

Let r be the cost of one ride ticket, and let d be the cost of one drink ticket.

Then we can write the following system of equations to represent the situation:

For Carlos:

6r + 3d = 21.75

For Juan:

10r + 6d = 39.50

In the first equation, 6r represents the cost of 6 ride tickets and 3d represents the cost of 3 drink tickets that Carlos bought. Together they add up to $21.75, the total amount Carlos spent.

In the second equation, 10r represents the cost of 10 ride tickets and 6d represents the cost of 6 drink tickets that Juan bought. Together they add up to $39.50, the total amount Juan spent.