Find the value of x in the following equation:

1.2(3x + 5) = 3.6x + 6
A:Infinite solutions
b: No solution
c: x = 1.8
d: x = 0

The expected value is: E(X) = 2/5

The standard deviation is approximately 0.0866.

The variance is approximately 0.0075.

Probability refers to the measure of the likelihood or chance of an event occurring. It is a numerical value that ranges from 0 to 1, where 0 represents an impossible event (will not occur) and 1 represents a certain event (will occur). The probability of an event is calculated by dividing the number of ways that event can occur by the total number of possible outcomes. Probabilities are commonly used in fields such as mathematics, statistics, finance, and science to analyze and predict the occurrence of certain events.

Given that there are two yes answers for every three no answers overall, the probability of a "yes" response is 2/5 and the probability of a "no" response is 3/5.

(a) The expected value of the sampling distribution of sample proportions of yes is equal to the population proportion of yes, which is 2/5. Therefore, the expected value is:

E(X) = 2/5

(b) The standard deviation of the sampling distribution of sample proportions of yes can be calculated using the formula:

\(\sigma = \sqrt{[(p(1-p))/n]}\)

where p is the population proportion of yes (2/5), and n is the sample size (100). Plugging in these values, we get:

\(\sigma = \sqrt{[(2/5)(3/5)/100]}\) ≈ 0.0866

Therefore, the standard deviation is approximately 0.0866.

(c) The variance of the sampling distribution of sample proportions of yes can be calculated by squaring the standard deviation:

σ² = (2/5)(3/5)/100 ≈ 0.0075

Therefore, the variance is approximately 0.0075.

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Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Answer:

habla esponala sem ablua c=7 d=10

Step-by-step explanation:

gracias.

Hey there!

PART A

c + 2d

= 10 + 2(-2)

= 10 - 4

= 6

PART B

5c^2 - cd

= 5(10)^2 - 10(-2)

= 5(100) - (-20)

= 500 - (-20)

= 500 + 20

= 520

Therefore, your answer is:

PART A.: 6

PART B.: 520

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

\(\sqrt{242}\)

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The given pseudocode, etc. refers to the individual characters of a string.

a. False, the if statement in check1 is incomplete, and the limit of the for loop is not defined.

b. False, the if statement in check2 should compare \(etc [i]\) to \(etc [n-i+1],\) instead of\(etc [i]\) to \(etc [i+1].\)

c. check1 performs (n/2) comparisons, since it only needs to compare half of the string to the other half.

d. check2 performs n/2 comparisons, since it compares each character in the string with its corresponding character on the other side of the string.

e. It's impossible to determine which procedure takes longer to complete without additional information.

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Answer:

The y's are 1, 3, 5, 7

Step-by-step explanation:

You have equation y = 2x + 3

You can think of this as a "rule" So whenever you're given a number (a value for x) you put the number in place of the x and times by two then add three.

you were given a list of numbers. They will go one at a time and have a turn being acted on by the rule.

It looks like this: first when x is -1.

take the -1 times by 2 >>>> that's -2 and then add 3 >>>> so you get 1.

y = 2x +3, x= -1

y = 2(-1) + 3

y = 1

You might have a column to write the answers in like next to their x's. Or sometimes we write them in pairs (-1 , 1)

y = 2x + 3; x = 0

y = 2(0) + 3

y = 3

(0, 3)

y = 2x + 3; x = 1

y = 2(1) + 3

y = 5

(1, 5)

y = 2x + 3; x = 2

y = 2(2) + 3

y = 7

(2, 7)

Answer:

<2 and <4 are not adjacent because they do not share a common side or vertex.

Step-by-step explanation:

The compound interest is solved and the amount in her account in 2047 is given by A = $ 1315.46

Given data ,

To determine how much money Carly has in her account after 37 years, we need to substitute the value of t as 37 into the equation:

P = 600(1.0375)^t

P = 600(1.0375)^37

P ≈ 600(1.0375)^37 ≈ 600(2.19243) ≈ $ 1315.46

Therefore , Carly has approximately $1315.46 in her account after 37 years.

To calculate the growth rate, we need to find the rate of change between the initial and final amounts over the given time period.

Regarding how long it takes for Carly's account to reach $750, we'll assume you mean when the account reaches or exceeds $750. Let's set up the equation and solve for t:

750 = 600(1.0375)^t

Dividing both sides by 600, we get:

1.25 = 1.0375^t

Taking the logarithm of both sides (base 1.0375):

log(1.25) = t * log(1.0375)

t ≈ log(1.25) / log(1.0375) ≈ 8.5 years

Hence , it takes approximately 8.5 years for Carly's account to reach or exceed $750

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Answer:

y = -15

Step-by-step explanation:

x-5y=-15x−5

Let x = -5

-5 -5y = -15 * -5 -5

Combine like terms

-5 -5y = 75-5

-5 -5y = 70

Add 5 to each side

-5y = 75

Divide by -5

y = -15

The distacnce between the points is 12.7

The points are given as:

(1, -3) and (-8, 6)

The distance is calculated as:

d = sqrt((x2 -x1)^2 + (y2- y1)^2)

So, we have

d = sqrt((1 + 8)^2 + (-3 - 6)^2)

Evaluate

d = 12.7

Hence, the distacnce between the points is 12.7

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Step-by-step explanation:

∫₀² x f(x²) dx

If u = x², then du = 2x dx, and ½ du = x dx.

When x = 0, u = 0.  When x = 2, u = 4.

∫₀⁴ ½ f(u) du

½ (16)

8

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

The first box

Step-by-step explanation:

Hope this helps!

Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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Answer:

3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.

6pm - 6hours = 12pm

(Noon) 12 pm - 3 hours =9 am, then 45 min

9am - 45 min

8:15 am

Answer:

hello i am new to brainly. i am new to this app im just trynna figure this app

Step-by-step explanation:

Answer:

do you need Anything else? hope i helped u

Answer:

-1 1/24

Step-by-step explanation:

Answer:

31/24 is the simplified answer

Step-by-step explanation:

Edwin needs to sell 44,625 jars of jam to break even.

To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:

Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)

Given information:

Selling Price per Unit (SP) = $1.90

Variable Cost per Unit (VC) = $1.10

Fixed Expenses = $35,700.00 per year

Plugging in the values into the formula:

Breakeven Point = $35,700 / ($1.90 - $1.10)

Breakeven Point = $35,700 / $0.80

Breakeven Point = 44,625 jars

Therefore, Edwin needs to sell 44,625 jars of jam to break even.

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Answer:

x = 4

Step-by-step explanation:

You can solve for "x" by rearranging the equation and getting the "x" by itself on one side. Remember, whatever you do to one side of the equation, you must do to the other side.

-6 + x = -2                         <----- Original equation
+6         +6                        <----- Add 6 to both sides to isolate "x"

0 + x = 4                           <----- After the addition

x = 4                                 <----- Rewrite

Answer:

None of the above (x = 4) \( \sf {} \)

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ -6 + x = -2

Then the value of x will be,

→ -6 + x = -2

→ x = -2 + 6

→ [ x = 4 ]

Hence, the value of x is 4.

Answer:

4.5%

Step-by-step explanation:

\(\frac{9}{200}\) = \(\frac{4.5}{100}\) = 4.5%

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Answer:

(3n-2)(n-2)

Step-by-step explanation:

The angle formed by the two hands have a measure less than 1/4 turn

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

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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The equations for the polynomials given in the graph are f(x) = 2(x+1)(x-1) and f(x) = -1/48(x+4)(x+3)(x-1)(x-4)  

The equations formed with variables, exponents and coefficients are called as polynomial equations. It can have different exponents, where the higher one is called the degree of the equation.

Given are graphs, we need to find the equation for the polynomial graphed,

1) The curve cuts the x-axis at -1 and 1, therefore, (x+1) and (x-1) are the factors of the polynomial,

The y intercept is (0,-2)

Therefore,

f(x) = a(x+1)(x-1)

Put x = 0 and y = -2 to find the value of a,

-2 = a(0+1)(0-1)

-2 = -a

a = 2

Therefore, the equation for the polynomial is f(x) = 2(x+1)(x-1)

Similarly,

2) The curve cuts the x-axis at -4, -3, 1 and 4, therefore, (x+4), (x+3), (x-1) and (x-4) are the factors of the polynomial,

The y intercept is (0,-1)

Therefore,

f(x) =  a(x+4)(x+3)(x-1)(x-4)

Put x = 0 and y = -1 to find the value of a,

-1 = a(0+4)(0+3)(0-1)(0-4)

-1 = 48a

a = -1/48

Therefore, the equation for the polynomial is f(x) = -1/48(x+4)(x+3)(x-1)(x-4)

Hence, the equations for the polynomials given in the graph are f(x) = 2(x+1)(x-1) and f(x) = -1/48(x+4)(x+3)(x-1)(x-4)  

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