What is the common ratio between successive terms in the sequence?
27, 9, 3, 1,
,
1,
3
O-3
mp

Answer:

Independent variable - type of cola drink

dependent variable - taste rating of cola drink

extraneous variable - type of cola drink

Step-by-step explanation:

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.

The extraneous variable is the variable  that is not been researched in the experiment but it has the potential to influence the results of the experiment.

The type of cola drink given to participants can be manipulated to derive different ratings. the ratings that participants would give the cola drink is determined by the type of cola drink served. Here, the type of drink served is the independent variable while the ratings given is the dependent variable.

the extraneous variable is the type of drink cups used. this is not relevant to the experiment but can affect the results of the experiments. for example, imagine a red cup is used for the experiment and a participant hates red cups. it is more likely that the participant would give a low rating for the cola drink even if the drink tastes good

9514 1404 393

Answer:

  4.  n = 4

  5.  P(A|B) = 0.75

Step-by-step explanation:

4. The coefficient of x will depend on n. The expansion is ...

  (5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)

So, the x-term of the expansion is ...

  25(3/5nx) +(10nx)(1) = 25nx

The problem statement tells us that is 100x, so we have ...

  25nx = 100x

  n = 100x/(25x) = 4 . . . . . divide by the coefficient of n

The value of n is 4.

__

5. For the conditional probability formula, we need to know P(A∩B).

  P(A∩B) = P(A) +P(B) -P(A∪B)

  P(A∩B) = 0.5 +0.4 -0.6 = 0.3

Then the conditional probability is ...

  P(A|B) = P(A∩B)/P(B) = 0.3/0.4

  P(A|B) = 0.75

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

Let the power is P.

P  = V q /t

P = 3 x 0.56 / 1 = 1.68 W

Answer:

In picture

Step-by-step explanation:

Brainliest please

Answer:

3x+34+23y, You can not add in this equation as there are no like numbers.

Step-by-step explanation:

Answer:

isnt it 60xy

Step-by-step explanation:

Answer:

Step-by-step explanation:

J and k are parallel if

angle 1 = angle 4 (vertically opposite angles)

angle 2 + angle 5 = 180 degree (being co interior angles)

angle 4 = angle 5 (being alternate interior angles)

angle 1 = angle 5 (being corresponding angles)

Answer:

2 and 5 are co - interior angles

1 and 3 are corresponding angles

1 and 4 are alternate

6 and 8 are corresponding angles

Step-by-step explanation:

Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

QUESTIONS:- For which equation would x = 0 be a solution?

ANSWER:- (7)x = 0

as 7x= 0

x=0 ANSWER

Answer:

x = 6

Step-by-step explanation:

In similar triangles,  corresponding sides are in same ratio

[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]

Answer:

IRR = -5.19%

MIRR =  3.33%

The company should reject the project

Step-by-step explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = -$12,000

Cash flow in year 1 = $2,360

Cash flow in year 2 =  $4,390

Cash flow in year 3 = $1,520

Cash flow in year 4 = $980

Cash flow in year 5 = $1,250

IRR = 5.19%

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n)  - 1

n = number of years

present value of the firm's cash outflow = $12,000

Future value of a firm's cash inflow

Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51

Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63

Future value of year 3's cash flow =$1,520  x (1.12^2) = $1906.69

Future value of year 4's cash flow = $980 X 1.12 = 1097.60

Future value of year 5's cash flow = 1250

Add the future values together = $14,135.43

($14,135.43 / $12,000)^0.2 - 1 = 3.33%

The project should be rejected because the IRR is negative.  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

Answer:

it's AAAAAAAAAAAAAAAAAAA

Answer:

It's A <3

I took the test. ^^

Answer:

5/18

Step-by-step explanation:

conditional probability formula:

A|B (a given b)  = (A∩B)/(B)

so

Moderate|college (moderate given college)= (moderate∩college)/college

moderate∩college= 15

college= 11+15+28= 54

15/54= 5/18

Answer:

the answer is $50.00

Step-by-step explanation:

okay so first u gave to subtract $80.00 from $430 u will get $350.00 then divide it by 7 and then you will get your answer

Answer:

ok

Step-by-step explanation:

Answer:

A.{-2,3,1,5 } or D. {-2, -1, 0,5}

Answer:

6ab + 8a² - 15b - 20a

Step-by-step explanation:

Expand by using FOIL method

4(2a-5) + 3b(2a-5)

4a(2a) + 4a × -5 + 3b × -5

Simplify terms

8a² - 20a + 6ba -15b

6ab + 8a² - 15b - 20a

Given:

The expression is:

[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]

To find:

The difference.

Solution:

We have,

[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]

It can be rewritten as:

[tex]=\dfrac{90+2}{5}-\dfrac{40+1}{10}[/tex]

[tex]=\dfrac{92}{5}-\dfrac{41}{10}[/tex]

Taking LCM, we get

[tex]=\dfrac{184-41}{10}[/tex]

[tex]=\dfrac{143}{10}[/tex]

[tex]=\dfrac{140+3}{10}[/tex]

[tex]=14\dfrac{3}{10}[/tex]

Therefore, the value of the difference is [tex]14\dfrac{3}{10}[/tex].

Answer:

3 Pounds

Step-by-step explanation:

2.82 rounded to the nearest whole number is 3.

If we wanted to round 2.82 to 2, it would have to be 2.49 or less

Answer:

7.50 + 14x < 60

x < 3.75

Step-by-step explanation:

Let

x = number of pizzas ordered

Delivery fee = $7.50

Cost per pizza = $14

Total cost should be less than $60

The inequality

7.50 + 14x < 60

14x < 60 - 7.50

14x < 52.5

x < 52.5/14

x < 3.75

Step-by-step explanation:

Given that,

The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.

Ratio notation is= 3:5:7

Frction notation,

Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]

Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]

Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]

Hence, this is the required solution.

Answer:

sin (A) = 8/17

Step-by-step explanation:

Sine = opposite/hypotenuse

Sin (A) = 16/34

Sin (A) = 8/17

Answer:

sin (A) = 16/34

Step-by-step explanation:

SOH (sine = opposite/adjacent)

Answer:

Decreased

Strong negative

Step-by-step explanation:

The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa

Answer:

question a is technically 7.5 and question b is 7.5

Step-by-step explanation:

half half

Answer:

The formula  is [tex]R =\frac {V}{I}[/tex]

Step-by-step explanation:

The formula V = I R shows the relationship between voltage, current, and resistance.

It is given by the Ohm's law.

According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.

V = I R

where, V is the potential difference, I is the current and R is the resistance.

The resistance is given by

[tex]R = \frac{V}{I}[/tex]

Answer:

R = V over I

Step-by-step explanation:

Answer:

10 cm

Step-by-step explanation:

In a right triangle, there are three sides, A, B, and C.

A and B are the short sides, while C is the long side.

So we know that A = 6 cm, and B = 8 cm.

We can then use the Pythagorean theorem which states that

[tex]C=\sqrt{(A^2)+(B^2)[/tex]

Once we plug in the numbers we get

[tex]C=\sqrt{6^2+8^2}[/tex]

[tex]C=\sqrt{36+64}[/tex]

[tex]C=\sqrt{100}[/tex]

C=10 cm

Answer:

x ≈ 43.3°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{11}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{8}{11}[/tex] ) ≈ 43.3° ( to 1 dec. place )

Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ

Answer:

Step-by-step explanation:

In this case "solving" involves isolating the variable, x, on the left side of this equation.  

Starting with x - 1/3 = 1/3, we add 1/3 to both sides.  This results in:

x = 1/3 + 1/3, or x = 2/3.

Answer:

sorry bro......sis

Step-by-step explanation:

don,t know its answer

☆Amy is 9 years older than her younger sister.

[tex]\\ \sf\longmapsto Age\:of\:Amy=1+9=10years[/tex]

Let after x years Amy will be 4times old as her sister.

ATQ

[tex]\\ \sf\longmapsto \dfrac{1+x}{9+x}=\dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto 4(1+x)=1(9+x)[/tex]

[tex]\\ \sf\longmapsto 4+4x=9+x[/tex]

[tex]\\ \sf\longmapsto 4x-x=9-4[/tex]

[tex]\\ \sf\longmapsto 3x=5[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{5}{3}[/tex]

[tex]\\ \sf\longmapsto x=1.6[/tex]

[tex]\\ \sf\longmapsto x=2(approx)[/tex]

Answer:

Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.

Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.

Answer:

infinity + infinity =  infinity

Step-by-step explanation:

Mark brainliest please :)