(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?

A. Likely
B. Certain
C. Unlikely
D. Impossible

Answer:

Answer 2 is correct because triangle ABC is the same as the original just that the position has changed

Answer:

C) 8 m²

Step-by-step explanation:

Volume of a square pyramid :

The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

From the question, we are to determine the cash value of the computer system in 3 years

From the given information,

The computer system cost $2,395 and it will depreciate at a rate of 12% a year

After the first year, the worth of the computer system will be

$2,395 - (12% of $2,395)

$2,395 - (0.12 × $2,395)

= $2,395 - $287.4

= $2107.6

After the second year, the worth of the computer system will be

$2107.6 - (12% of $2107.6)

$2107.6 - (0.12 × $2107.6)

= $2107.6 - $252.912

= $1854.688

After the third year, the worth of the computer system will be

$1854.688 - (12% of $1854.688)

$1854.688 - (0.12 × $1854.688)

= $1854.688 - $222.56256

= $1632.12544

≅ $1632

Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

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[tex]\textit{circumference of a semicircle}\\\\ C=\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=81.212 \end{cases}\implies 81.212=\pi r\implies \cfrac{81.212}{\pi }=r \\\\\\ \stackrel{\textit{its diameter is}}{2r\implies 2\left( \cfrac{81.212}{\pi } \right)} ~~ \approx ~~ 51.7[/tex]

Answer:

A Quadrilateral is a 4 sided figure. In other words any shape that has 4 sides is a quadrilateral for example square, rectangle, trapezium etc

Step-by-step explanation:

Answer:

6.5 $

Therefore she needs 6.5 $ is she doesn't rwk

The statement " only the estimate intercept is statistically significant at the 5% level is wrong" is wrong about the estimate.

A probit model is a type of regression in statistics where the dependant variable can only take two values.

We have:

Regress smoker on cubic polynomials of age

If we use linear probability model.

Here the data are missing, but we can say about the estimate that:

Only the estimate intercept is statistically significant at the 5% level is wrong,

Thus, the statement " only the estimate intercept is statistically significant at the 5% level is wrong" is wrong about the estimate.

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Answer:

688 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

============================================

Surface Area = 6 × 12 + 20 × (30.8) = 688 cm²

Answer:

The correct answer is y = -6x - 4

Step-by-step explanation:

The given equation of the line : y = -6x + 2

Now, the general equation of the line in the slope-intercept form is given by : y = mx + c

Now, comparing the given equation with the general form, We get slope, m = -6

We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6

And it passes through the point (-1, 2)

The required equation will be :

⇒ y - 2 = -6 × (x + 1)

⇒ y - 2 = -6x - 6

⇒ y = -6x - 4

Therefore, The required equation is y = -6x -4

Hence, The correct answer is. y = -6x - 4

Brainlist?????

Answer:

53712.4

Step-by-step explanation:

10^3 = 1000

To multiply a decimal by 1000, move the decimal point in the multiplicand by three places to the right.

so, 53.7124 becomes 53712.4

hope this helps :)

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

The value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

From the question, we are to determine the values of a and b

From the given kite diagram, we can conclude that

/FG/ = /HG/

Thus,

30 =  2a - 4

∴ 2a - 4 =  30
2a = 30 + 4

2a = 34

a = 34 / 2

a = 17

Also,

/FJ/ = /HJ/

3b + 6 = 24

3b = 24 - 6

3b = 18

b = 18/3

b = 6

Hence, the value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

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The solution to the given indices are 1/2^7, 11^4 and -1/64

Give the following indices expression

[tex]\frac{(2^{-4})^2\times 2^{-5}}{2^{-6}} \\[/tex]

This can be further simplified according to the law of indices as:

[tex]\frac{(2^{-4})^2\times 2^{-5}}{2^{-6}} =\frac{2^{-8-5}}{2^{-6}}[/tex]

Determine the result

[tex]\frac{2^{-8-5}}{2^{-6}} = 2^{-7} = 1/2^7[/tex]

For the indices expression

[tex]11^{-4}\times 11^{8} = 11^{-4+8}=11^4[/tex]

For the indices expression

[tex]-4^4\times4^{-7}\\=-(4^{4-7})\\= -4^{-3}\\=-1/4^3\\=-1/64[/tex]

Hence the solution to the given indices are 1/2^7, 11^4 and -1/64

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Answer: 35

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].

Sp, by the corresponding angles theorem, x=35

Answer:

To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

Answer:

1) 21.24cm

2)19.8ft

3)22.84mm [2.284cm]

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

1) perimeter = 5.4+8.84+7

=>    5.4+8.84+7 = 21.24,

 21.24cm

2) perimeter = 6.6 + 6.6 + 6.6  i.e  6.6* 3

=>    6.6 x 3 = 19.8

 19.8ft

3) perimeter = 8.3 + 4.9 + 9.64

=>     8.3 + 4.9 + 9.64 =  22.84

22.84mm or 2.284cm

AREA

1) it's a right triangle,

 =>    Area of a right triangle = 1/2 × base × height.

 =>    here, base is a and height is b

 =>    a = 7, b = 5.4

 =>   now we multiply it,  

 => 7*5.4 = 37.8

 => now multiply it with 1/2,  

 => 1/2 x 37.8 =  37.8/2

 => 37.8/2  = 18.9

2) it's an equilateral triangle,

18.8620

the formula is  √3 a^2/ 4

=>    √3* 6.6^2/ 4  

=>    75.4481/4 = 18.8620

3)  20.335

    base = a = 8.3

    height = b = 4.9

=>    8.3 * 4.9 = 40.68

=>     40.68/2 = 20.335

hope this helps:)

Answer:

i) 0.5

ii) 0.76

Step-by-step explanation:

i) 0.5

ii) 0.76

Answer:

Mean = 8

Step-by-step explanation:

The mean is another way of describing the average. To find the mean, you need to (1) add all of the numbers together and (2) divide by the amount of numbers added.

(Step 1)

4 + 10 + 12 + 8 + 6

= 40

(Step 2)

4, 10, 12, 8, 6  -----> There are 5 numbers

40 / 5  

= 8

Answer:

C: is a function because each input (x) has exactly one output( y).

Step-by-step explanation:

A function is when one input (x) has exactly one output (y).

A: is not a function because -4 is paired with two different y values.

B: is not a function because -4 is paired with two different y values.

C: is a function because each input (x) has exactly one output( y).

D: is not a function because -1 is paired with two different y values.

Answer:

x = -1

Step-by-step explanation:

(x1,y1) = (1,4) and m = 2

(y-y1)/(x-x1) = m

derive the linear function first before finding the zero.

(y-4)/(x-1) = 2

cross multiply

y-4 = 2(x-1)

y-4= 2x - 2

y = 2x - 2+4

y. = 2x + 2 is the linear equation

at y = 0 gives the zero

2x + 2 = 0

2x = -2

x = -2/2

x = -1 is the zero

Answer:

180

Step-by-step explanation:

well 9×12=180 roger only works 20 hours he gets plaid $9 per hour he's working so yes the answer is 180

Answer:

180

Step-by-step explanation:

10×9=90, so 90+90= 180

Answer:

The answer you're looking for is .5

Step-by-step explanation:

Cause 20 is less than 21, and 25, 26, and 27 is larger than 24, and that's 4 numbers. There's 8 numbers in total, so your answer is 4/8. Divide that by 4, and you get 1/2. That's 50%, if you're thinking out of "1" then it would be ".5"

Answer: 0.5 or 50%

Numbers-Set {20, 21, 22, 23, 24, 25, 26, 27}

Total outcomes: 8

numbers greater than 24 are 25, 26, 27 - 3 numbers

number less than 21 is 20 - 1 number

Total favorable outcomes: 3 + 1 = 4

Probability = favorable outcomes/total outcomes = 4/8 = 0.5

Answer:

i believe the answer is false !

Step-by-step explanation:

The value of k in the translated graph of f(x - h) + k is; k = 2

We are given the parent function of f(x) = x³.

Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;

The rule of translation is;

(x, y) → (x + 3, y + 2)

That means;

The translation is 3 units to the right and 2 units up

The equation of the translated graph is equal to;

f(x) = (x - 3)³ + 2

Thus;

The value of k is equal to 2.

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The value of n in the mathematical statement is 0.64

The statement is given as:

n multiplied by -5/8 equals -0.4

Rewrite properly as:

n * -5/8 = -0.4

Multiply both sides by -1

n * 5/8 = 0.4

Multiply both sides by 8/5

n = 0.64

Hence, the value of n in the mathematical statement is 0.64

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Answer:

  108 cm²

Step-by-step explanation:

The composite shape can be divided as shown into a trapezoid and a triangle. The area of the shape is the sum of the areas of those parts.

__

The top portion of the shape is marked as a trapezoid with bases 12 cm and 6 cm, and height 6 cm. Its area is given by ...

  A = 1/2(b1 +b2)h

  A = 1/2(12 cm +6 cm)(6 cm) = 1/2(18 cm)(6 cm) = 54 cm²

__

The bottom portion of the shape is marked as a triangle. The triangle has a base of 12 cm and a height of (15 cm -6 cm) = 9 cm. Its area is ...

  A = 1/2bh

  A = 1/2(12 cm)(9 cm) = 54 cm²

__

The area of the composite figure is the sum of the areas of its parts:

  total area = trapezoid area + triangle area

  total area = 54 cm² +54 cm² = 108 cm²

The area of the logo is 108 cm².

Answer:

337 large buckets and 195 jumbo buckets were sold.

Step-by-step explanation:

x = the number of large buckets sold
y = the number of jumbo buckets sold

x + y = 532
(2.25x + 3.75y = 1489.50) x100 = 225x + 375y =148950

(x + y = 532) x -225 =      -225x - 225y = -119700
                                       + 225x + 375y =148950

                                                       150y = 29250
                                                             y = 195

x + 195 = 532
         x = 337

Answer:

$8.50

Step-by-step explanation:

I don't know what Alls are, but if Carlos insists, we can calculate how much he can spend on Alls with the expression:

($31.50) + r [tex]\leq[/tex] $40

This says the sum of what Carlos has already spent (hot dogs and hamburgers) plus the amount he spends on Alls (rolls?), r,  must be equal to or less than the $40 he has allowed himself to spend.

($31.50) + r [tex]\leq[/tex] $40

r  [tex]\leq[/tex] $40 - $31.50

r [tex]\leq[/tex] $8.50

Answer:

[tex]\text{Slope} = \dfrac{7}9[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) = (16,14)~ \text{and}~ (x_2,y_2) = (-2,0)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{0-14}{-2-16}\\\\\\~~~~~~~~~~~~=\dfrac{-14}{-18}\\\\\\~~~~~~~~~~~~=\dfrac{7}9[/tex]

Answer:

m = 7/9

m = 7/9m ≈ 0.80

Step-by-step explanation:

Given two points:

(16, 14), (-2, 0)

To find:

The slope

Solution:

We know that,

[tex] \rm Slope(m) = \cfrac{ y_2 - y_1}{x_2 - x_1} [/tex]

According to the question,

Note:[The underscore refers to that the numbers after the underscore is a subscript]

So Substitute them on the formulae:

[tex] \implies \rm \: m = \cfrac{0 - 14}{ - 2 - 16} [/tex]

Simplify it.

[tex] \implies \rm \: m = \cfrac{ \cancel{- 14} \: {}^{7} }{ \cancel{- 18} \: {}^{9} } [/tex]

[tex] \implies \boxed{ \rm \: m = \cfrac{7}{9} }[/tex]

[tex] \implies \rm \boxed{ \rm m \approx0.80}[/tex]

Thus,the slope is 7/9 in fraction and 0.80 (Nearest tenth) in decimal.

The company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million

Note: The options for the questions are as follows:

A. the company's total earnings for Year 8 would be $10 million (net income of $50 million less interest costs of $10 million less dividend payments of $30 million = $10 million).

B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).

C. the company's credit rating would be no less than an A because operating profit is seven times higher than annual interest costs.

D. the company's EPS for Year 8 would be $5.50 and its retained earnings for Year 8 would be $10million (net income of $50 million less interest costs of $10 million less dividend payments of $30million).

E. the company's EPS for Year 8 would be $1.50 (operating profit of $70 million less interest costs of$10 million, less dividend payments of $30 million= $30 million divided by 20 million shares).

The question can now be answered as follows:

From the question, we can calculate the following:

EPS = Net income / Number of shares of common stock outstanding = $50 million / 20 million = $2.50

Dividend payments = Number of shares of common stock outstanding * Dividend per share = 20 million * $1. 50 = $30 million

Retained earnings = Net income - Dividend payments = $50 million - $30 million = $20million

Therefore, the correct option is B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).

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Answer:

5/12

Step-by-step explanation:

1/6 can be turned into 2/12

7/12-2/12=5/12