8. 0.399 + w = 0.4
Please help!

Answer:

95 !

Step-by-step explanation:

12(5)+35 =95

Answer:

95 pages

Step-by-step explanation:

math

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The variance of X is 0.09.

Formula used: Variance is the square of the standard deviation. T

he formula to calculate variance of a discrete random variable X is given by:

Var(X) = E[X²] - [E(X)]²Calculation:

P(B) = 0.2P(A)

= 0.5P(AB) =

0.1

By definition,

P(A U B) = P(A) + P(B) - P(AB)

⇒ P(A U B) = 0.5 + 0.2 - 0.1

⇒ P(A U B) = 0.6

Now,E[X] = E[1B + ?]

⇒ E[X] = E[1B] + E[?]

Since 1B can have two values 0 and 1.

So,E[1B] = 1*P(B) + 0*(1 - P(B))

= P(B)

= 0.2P(A/B)

= P(AB)/P(B)

⇒ P(A/B)

= 0.1/0.2

= 0.5

So, the conditional probability distribution of ? given B is:

P(?/B) = {0.5, 0.5}

⇒ E[?] = 0.5(0) + 0.5(1)

= 0.5⇒ E[X]

= 0.2 + 0.5

=0.7

Now,E[X²] = E[(1B + ?)²]

⇒ E[X²] = E[(1B)²] + 2E[1B?] + E[?]²

Now,(1B)² can take only 2 values 0 and 1.

So,E[(1B)²] = 0²P(B) + 1²(1 - P(B))= 0.8

Also,E[1B?] = E[1B]*E[?/B]⇒ E[1B?] = P(B)*E[?/B]= 0.2 * 0.5 = 0.1

Putting the values in the equation:E[X²] = 0.8 + 2(0.1) + (0.5)²= 1.21Finally,Var(X) = E[X²] - [E(X)]²= 1.21 - (0.7)²= 0.09

Therefore, the variance of X is 0.09.

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Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=  

Step-by-step explanation:

Answer:

\(684\:\mathrm{cm^2}\)

Step-by-step explanation:

The area of any triangle is equal to \(A=\frac{1}{2}\cdot a\cdot b\cdot \sin C\), where \(a\) and \(b\) are two sides of a triangle and \(C\) is the angle between them.

Plugging in given values, we have:

\(A=\frac{1}{2}\cdot 27\cdot 82\cdot \sin 162^{\circ}=\boxed{684\:\mathrm{cm^2}}\)

Answer:

342

Step-by-step explanation:

see image

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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The steps to prove the quadratic formula are:

1) ax² + bx + c = 0.

2) x² + (b/a)x + c/a = 0.

3) x² + (b/a)x = -c/a.

4) x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²

5) x² + (b/a)x + (b/2a)² = (-4ac + b²)/(4a²).

6) (x + b/2a)² = (-4ac + b²)/(4a²).

7) x + b/2a = ±√((-4ac + b²)/(4a²)).

8) x = (-b ± √(b² - 4ac))/(2a).

To derive the quadratic formula, which provides the solutions for quadratic equations of the form ax² + bx + c = 0, follow these steps:

Step 1: Start with the quadratic equation in standard form: ax² + bx + c = 0.

Step 2: Divide the entire equation by the coefficient 'a' to make the leading coefficient equal to 1:

x² + (b/a)x + c/a = 0.

Step 3: Move the constant term (c/a) to the right side of the equation:

x² + (b/a)x = -c/a.

Step 4: Complete the square on the left side of the equation. To do this, take half of the coefficient of 'x' and square it, then add it to both sides of the equation:

x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²

Step 5: Simplify the right side of the equation:

x^2 + (b/a)x + (b/2a)² = (-4ac + b²)/(4a²).

Step 6: Rewrite the left side of the equation as a perfect square:

(x + b/2a)² = (-4ac + b²)/(4a²).

Step 7: Take the square root of both sides of the equation:

x + b/2a = ±√((-4ac + b²)/(4a²)).

Step 8: Solve for 'x' by isolating it on one side of the equation:

x = (-b ± √(b² - 4ac))/(2a).

This is the quadratic formula, which gives the solutions for the quadratic equation ax² + bx + c = 0. The ± symbol indicates that there are two possible solutions, one with the positive sign and one with the negative sign.

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Answer:

The answer is (-56)

Step-by-step explanation:

3/5(x – 19) = -15

(x – 19)/5 = -15

x – 19 = (-15)(5)

x – 19 = -75

x = 19 – 75

x = -56

Thus, The value of x is (-56)

-TheUnknownScientist 72

Given:

2x + y + z=2 .... (1)

4x +2y +2z=4 .... (2)

-6x -3y -3z =-6.... (3)

Taking Equation (3)

-6x-3y-3z=-6

Divide by -3,

2x+y+z=2 ....(4)

By subracting equation (2) and (4),

0=0

Therefore, the system of equation has infinitely many solution.

Option B is the correct answer.

Answer:

6 feet per hour

Step-by-step explanation:

36 / 6 = 6

Answer:

That is one big M

Step-by-step explanation:

Other than that I cannot help with this question because of the picture that was taken was enlarged too much!

Answer:

I can't see the numbers        

Step-by-step explanation:

I can't see the numbers for me to find the area can you pull back the camera back then take another picture .

Answer: The statement "The mean height of the students in Juan's math class is equal to the mean height of the students in his English class" means that the center or average of both groups is the same. However, the statement "the standard deviation of the heights of students in his math class is 3.2 inches, the standard deviation of the heights of students in his English class is 6.1 inches" implies that the heights of the students in the English class are more spread out than the heights of the students in the math class.

Therefore, the answer is:

D) The heights of the students in Juan's math class are less variable than the heights of the students in his English class.

Step-by-step explanation:

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

The parent function is f(x) = |x|

Step-by-step explanation:

Option 1 and 4 are not absolute value, and option 3 has a number before it making it changed.

Answer:

this is a realistic goal salary by age 30 and increase your savings by your annual salary every five years.

Fast Answer:

A general rule of thumb is to have one times your income saved by age 30, three times by 40, and so on. See chart below. The sooner you start saving for retirement, the longer you’ll have to take advantage of the power of compound interest. Aim to save 5% to 15% of your income for retirement — or start with a percentage that’s manageable for your budget and increase by 1% each year until you reach 15%. The thought of saving a couple million dollars by your 60s or 70s can sound daunting, we know. That’s where breaking up your retirement savings with age-based benchmarks may help. By looking at your savings in 10-year increments, it’s easier to plan financially and put actionable savings steps in place. One popular age-based savings recommendation is that you should aim to save one times your salary by age 30 and increase your savings by your annual salary every five years.

Step-by-step explanation:

Answer:

68 kilograms

Step-by-step explanation:

The slope of

Calculation

Line 1 passes through (-1, 3) and (1, 9)

We're going to employ the linear equation's slope-intercept form.

We will start by determining the line's slope.

⇒\(m= \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{9-3}{1-(-1)} = \frac{6}{2} = 3\)

To obtain the y-intercept, replace the point with the following:

Both points are acceptable. I'm employing point (1,9)

⇒y=mx+c

⇒9=3*1+c

⇒9=3+c

⇒9-3=c

⇒6=c

So, the linear equation is  y=-3x+6

now, Line 2 passes through (-2,12) and (-1,14)

We're going to employ the linear equation's slope-intercept form.

We will start by determining the line's slope.

⇒\(m= \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{14-12}{-1-(-2)} = \frac{2}{1} = 2\)

To obtain the y-intercept, replace the point with the following:

Both points are acceptable. I'm employing point (-2,12)

⇒y=mx+c

⇒12=2*(-2)+c

⇒12=-4+c

⇒12+4=c

⇒16=c

So, the linear equation is  y=-2x+16

and, Line 3 passes through (3,8) and (6,10)

We're going to employ the linear equation's slope-intercept form.

We will start by determining the line's slope.

⇒\(m= \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{10-8}{6-3} = \frac{2}{3}\)

To obtain the y-intercept, replace the point with the following:

Both points are acceptable. I'm employing point (3,8)

⇒y=mx+c

⇒8=\(\frac{2}{3}\)*(3)+c

⇒8=2+c

⇒8-2=c

⇒6=c

So, the linear equation is  y=\(\frac{2}{3}\)x+6

No, all three lines are non-parallel

and the slope of

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Answer:

Step-by-step explanation:

the percentage error: P

Approximate value=a 1.41

Exact = e(1.41421356 or √2)

p=[(e-a)/e]×100

p=[√2-1.41)/√2]×100

p=0.29794385 ≅0.30 or 30 percent when rounded to the nearest hundredth

b: p=[(π-3.14)/π]×100=0.05069573≅0.05 =5 percent when rounded to the nearest hundredth. in the pi case the percentage of error is small 5 % but in the case of square roots the percentage id higher(30%). in this case it is better to round the answer at the end of calculation( math problem)

c) sometimes when rounding square roots or irrational number like pi it is useful to use decimal approximate, in the case of pi the percentage rate was 5 percent which is very low comparing to the square root which is 30 %.

Answer:

A=$ 4,000(1+.03)∧6  will all equal $4776.209 if round $4,776.21.

Step-by-step explanation:

I use the formula A = P(1 + r)

∧t for annually.

if your looking for the interest rate then use formula interest formula I/Pt = r . I stands for Interest amount paid in a specific time period / p which stands for Principle amount (the money before interest)  times T which is Time period involved which will equal r the interest rate.

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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A quantitative variable x is a "Random Variable" if the value that x takes on in a given experiment or observation is a chance or random outcome.

A random variable is one with an unknown value or a function which assigns qualities to each of the outcomes of an experiment.

Some key features regarding the Random Variable are-

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Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [- 1, 1 ] , thus

f(b) = f(1) = 5 ← from graph

f(a) = f(- 1) = - 5 ← from graph , thus

average rate of change = \(\frac{5-(-5)}{1-(-1)}\) = \(\frac{10}{2}\) = 5 → C

Answer: True, if it is on a coordinate grid.

Step-by-step explanation:

Answer:

y=(-1/4)x+(-6)

Step-by-step explanation:

slope is (-1/4) and the y intercept is (-6)

slope intercept form is

y=(-1/4)x+(-6)

Don't put parentheses in answer.

Answer:

Heredity is the passage of traits from parent to offspring.

Heredity material is also known as DNA.

Heredity is responsible for traits such as eye color and skin color.

Step-by-step explanation:

From given data:

The number of blocks that could fit in one box is:

Now the number os blocks could fit in three box is:

Answer:

A six sided number from 1 to 6 is rolled in a game.

Step-by-step explanation:

Theoretical probability of rolling a 1 or 2.

1) The cube has 6 faces so the total number of the outcome would be 6 only.

2) As per the question we need only 1 or 2 so the favorable outcome would be 2.

3) P(E) = favorable outcome/ total number of outcome

P(E)   = 2/6

P(E)   = 1/3

Theoretical probability of rolling a 1 or 2 is 1/3

Newton's method is an iterative numerical method used to approximate the roots of an equation.

It relies on the idea of using the tangent line to iteratively refine an initial approximation until it converges to a solution. However, in some cases, Newton's method may fail to converge or provide accurate results.

In the given equation, f(x) = x³ - 3x + 8, if we choose an initial approximation of x₀ = -1, we can examine why Newton's method fails in this scenario.

To apply Newton's method, we need to calculate the derivative of f(x), denoted as f'(x). Taking the derivative of f(x) yields:

f'(x) = 3x² - 3

To find the next approximation x₁, we use the following formula:

x₁ = x₀ - f(x₀) / f'(x₀)

Plugging in x₀ = -1 into the above formula, we have:

x₁ = -1 - ( (-1)³ - 3(-1) + 8 ) / ( 3(-1)² - 3 )

= -1 - ( -1 + 3 + 8 ) / ( 3 - 3 )

= -1 - ( 10 ) / ( 0 )

= -1 - undefined

Here, we encounter a division by zero, which means that the tangent line used for approximating x₁ is vertical, and the method fails to proceed. This occurs because the derivative f'(x) becomes zero at the initial approximation x₀ = -1, resulting in a division by zero in the formula.

In such cases, when Newton's method fails to converge or encounters division by zero, alternative methods or initial approximations need to be considered to find a solution to the equation.

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The probability of drawing a red chip and then drawing a blue chip from the bin without replacement is 7/100.

To find the probability of drawing a red chip from the bin without replacement, and then drawing a blue chip, we need to calculate the probabilities of each event separately and then multiply them together.

Let's start by calculating the probability of drawing a red chip.

There are a total of 7 + 9 + 3 + 6 = 25 chips in the bin.

The probability of drawing a red chip on the first draw is 7/25 since there are seven red chips and 25 total chips.

After the first draw, there are now 24 chips left in the bin (since one red chip has been removed). Out of these, there are still 6 blue chips remaining.

The probability of drawing a blue chip on the second draw, without replacing the red chip, is 6/24.

To find the overall probability, we multiply the probability of the first event (drawing a red chip) by the probability of the second event (drawing a blue chip):

P(red, then blue) = (7/25) * (6/24)

= 42/600

= 7/100

Therefore, the probability of drawing a red chip and then drawing a blue chip from the bin without replacement is 7/100.

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Answer:

5

Step-by-step explanation:

Answer:

Joel took 70 total shots on goal on Wednesday.

Step-by-step explanation:

Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?