Help me plz Ik it is sooooo easy but I just forgot how to do it ... my sister she forgot how to do it to and she sis in 12 grade soo like help plz

The variable y vary directly with respect to x , and the equation to denote this direct variation is y = 1.375 x .

From the table we can see that the values of x are 8 for the y value of 11

Any direct variation is represented by the equation :

y = k x , where k is a constant

now we put the values of x and y in the equation to calculate k

11 = k × 8

or, k = 11 / 8 = 1.375

again , at x = 16 , y is 22

∴ k = 22/16 = 1.375

Hence the equation for direct variation will  be given by

y = kx

or, y = 1.375 x

When one quantity changes directly in reaction to a change in another quantity, this is a type of proportionality known as "direct variation." This implies that if one quantity rises, the other will rise correspondingly as well.

Like in the previous illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

To learn more about direct variation visit:

https://brainly.com/question/14254277

#SPJ1

Answer:

-2

Step-by-step explanation:

You start at -5 then you add 7 then subtract 4. The part where you were standing on Monday doesn't matter.

Answer:

y = -4x + (-3)      or       y = -4x - 3,

Step-by-step explanation:

So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3

The answer is two base cases, using induction.

What is induction ?

Weak induction is when an inductive mathematical proof holds true for all integers in a set of countable proofs. Natural numbers typically use this. The base step and inductive step are used to prove a set, making it the simplest type of mathematical induction.

Two examples make up an induction proof. Without requiring any prior knowledge of other examples, the first, or base case, establishes the claim for n = 0. The induction process, which is used in the second case, demonstrates that if the assertion is true for any particular scenario where n = k, it must also be true for the subsequent case where n = k + 1.

If a statement true  for n= k, accordily to induction it have to hold good for n = k+1,

Hence, base cases does a proof by the weak form of the principle of mathematical induction requires 2 bases.

Learn more about an induction , by the following link

https://brainly.com/question/27849036

#SPJ4

Answer: 9

Step-by-step explanation:

The reason for this answer, is because when you decide 18 by 6 it gives you 3. Which means that when you devide 27 by 3 it will give you your answer. 9. You can make sure it’s correct when you do the math. 27/9=3. 18/6=3.

This way, your answers are equivalent to each other.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

(Even a brainliest if you want ;D)

Answer:

a=9

Step-by-step explanation:cross multiply

Answer:

f(x) has been translated to the left 9.

Step-by-step explanation:

Answer:

a. 1.52%

b. There is 95% probability that the true population percentage lies between 53.8$ and 56.62%

Step-by-step explanation:

The number of participants in the sample, n = 4,100

The percentage that watched the particular popular situation episode, p = 55.1%

a. The margin of error is given by the following formula;

\(Margin \ of \ Error = Z_{\alpha /2} \times \sqrt{\dfrac{p \times (1 - p)}{n} }\)

Where;

Z = The z-score at 95% = 1.96

p = The proportion of the sample that responded positively = 55.1% = 0.551

n = 4,100

From the above data, we get;

\(Margin \ of \ Error = 1.96 \times \sqrt{\dfrac{0.551 \times (1 - 0.551)}{4,100} } \approx 0.0152252\)

The margin of Error ≈ 1.52%

b. The confidence interval is give as follows;

\(p \pm Z_{\alpha /2} \times \sqrt{\dfrac{p \times (1 - p)}{n} }\)

Therefore, we get the 95% confidence interval as follows'

55.1 - 1.52 ≤ μ ≤ 55.1 + 1.52

53.8%  ≤ μ ≤ 56.62%

The answer as formatted in an online source is presented as follows;

There is 95% probability that the true population percentage lies between 53.8$ and 56.62%.

Answer:

y=-.5x+4

Step-by-step explanation:

Answer:

4 shirts and 12 pants

Step-by-step explanation:

10x + 15y = 220

x + y = 16

4 * 10 = 40

12 * 15 = 180

40 + 180 = 220

Step-by-step explanation:

let the father's current age age be x and the son's be y

five years ago, meaning we subtract 5 from their current ages

(x-5)=4(y-5)

a) x-5= 4y-20

x-4y=-20+5

x-4y=-15 -----1

x+y=45. ------2

b) y= 45-x

substitute the value of y into equation 1

x-4(45-x)=-15

x-180+4x= -15

5x= -15+180

5x= 165

x= 33

c) as the father is 33

33+y= 45

y= 12

the son was born 12 years ago, which was 2079-12=2067

Answer:

it would be 12x 26y doe to the problem

Answer:

5

Step-by-step explanation:

Answer:

2x6 and 6x2

Step-by-step explanation:

because 12/6 gets you 2 and 6x2 equals 12

Answer:

2

Step-by-step explanation:

Clarie and Tyler thought about 12 divided by 6 because if you thought how much weight would give me 12?, You would think you need to divide to know that and if you multiply 2x6 it gives you the product of 12 so 12 divided by 6 is 2 therefore the missing number is 2.

Answer:

12

Step-by-step explanation:

Answer:

12°F??¿??¿????¿??!??????????

Answer:

Amount of fuel antifreeze = 6,279 gallon

Step-by-step explanation:

Given:

Amount of fuel =  273,000-gallon

Antifreeze = 2.3 %

Find:

Amount of fuel antifreeze

Computation:

Amount of fuel antifreeze = Amount of fuel × Antifreeze

Amount of fuel antifreeze = 273,000 × 2.3 %

Amount of fuel antifreeze = 6,279 gallon

Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450

We can solve for c1 and c2 using these initial conditions, but we cannot determine y_p(t) without more information about g(t).

The given differential equation is:

4y'' + 4y' + 17y = g(t)

where y(0) = 0 and y'(0) = 0.

This is a second-order linear differential equation with constant coefficients. To solve this, we first find the characteristic equation:

4r^2 + 4r + 17 = 0

Using the quadratic formula, we get:

r = (-4 ± sqrt(4^2 - 4(4)(17))) / (2(4))

r = (-4 ± sqrt(-48)) / 8

r = (-1 ± i sqrt(3)) / 2

The characteristic roots are complex and conjugate, so the solution to the homogeneous equation is:

y_h(t) = c1 e^(-t/2) cos((sqrt(3)/2)t) + c2 e^(-t/2) sin((sqrt(3)/2)t)

To find the particular solution, we need to determine the form of g(t). Without more information about g(t), we cannot determine a particular solution. Therefore, we write:

y(t) = y_h(t) + y_p(t)

where y_p(t) is the particular solution.

Since y(0) = 0 and y'(0) = 0, we have:

0 = y(0) = y_h(0) + y_p(0)

0 = y'(0) = (-1/2)c1 + (sqrt(3)/2)c2 + y_p'(0)

We can solve for c1 and c2 using these initial conditions, but we cannot determine y_p(t) without more information about g(t).

To learn more about differential visit:

https://brainly.com/question/31495179

#SPJ11

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

The integral of  probability density function \(\int_{4}^{\infty}\)f(x) dx represents option b. the probability that a tree has a diameter of at least 4 inches.

Probability density function represented by function f.

Probability density function f for the diameter of trees in a forest is equals to ,

\(\int_{4}^{\infty}\)f(x) dx

Because the integral is computing the area under the PDF curve for diameters greater than or equal to 4 inches.

And the area under a PDF curve represents the probability of the random variable in this case, tree diameter falling within that range.

This implies,

Integrating the PDF from 4 to infinity gives the probability of a tree having a diameter greater than or equal to 4 inches.

Therefore, the correct answer to represents the probability density function is Option (b). the probability that a tree has a diameter of at least 4 inches.

learn more about probability density function here

brainly.com/question/31317958

#SPJ4

The above question is incomplete , the complete question is :

Let f be the probability density function (PDF) for the diameter of trees in a forest, measured in inches. What does \(\int_{4}^{\infty}\) f(x) dx represent?

(a) The standard deviation of the diameter of the trees in the forest.

(b) The probability that a tree has a diameter of at least 4 inches

(c) The probability that a tree has diameter less than 4 inches.

(d) The mean diameter of the trees in the forest.

Using partial derivatives, we know that in order to optimize profit, the company should produce 7,000 type A solar panels and 8,000 type B solar panels annually.

A function of two or more variables can yield partial derivatives.

Writing the derivative with regard to x while treating all other variables as constants allows one to determine the partial derivative of a function with respect to one variable, let's say x.

The partial derivatives for each of the other

So, for a business making two different types of solar panels, the revenue and cost functions are provided by:

\(\begin{aligned}&R(x, y)=4 x+2 y \\&C(x, y)=x^2-4 x y+9 y^2+22 x-114 y-5\end{aligned}\)

If revenue and cost are stated in millions of dollars annually, x represents the thousands of type A solar panels produced and sold annually, and y represents the thousands of type B solar panels produced and sold annually.

By deducting costs from revenues, the profit function is obtained as follows:

\(\begin{aligned}&P(x, y)=R(x, y)-C(x, y) \\&P(x, y)=4 x+2 y-\left(x^2-4 x y+9 y^2+22 x-114 y-5\right) \\&P(x, y)=-x^2-9 y^2-18 x+116 y+4 x y+5\end{aligned}\)

The profit function's partial derivatives with regard to x and y are as follows:

\(\begin{aligned}&\frac{\partial P}{\partial x}=-2 x+4 y-18 \\&\frac{\partial P}{\partial y}=4 x-18 y+116\end{aligned}\)

When both of these partial derivatives are equal to zero, the profit is maximized:

\(\begin{aligned}&0=-2 x+4 y-18 \\&0=4 x-18 y+116\end{aligned}\)

The first equation above is multiplied by two, and the two equations are then added to yield:

\(\begin{aligned}&0=-10 y+80 \\&y=8\end{aligned}\)

Inputting into the first equation results in:

\(\begin{aligned}&0=-2 x+4(8)-18 \\&2 x=14 \\&x=7\end{aligned}\)

Therefore, using partial derivatives, we know that in order to optimize profit, the company should produce 7,000 type A solar panels and 8,000 type B solar panels annually.

Know more about partial derivatives here:

https://brainly.com/question/17201048

#SPJ4

The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .

A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.

Now in the given question,

Total number of muffins baker made = 90

Blueberry Muffins made by baker on monday = 36

Prcentage of blueberry muffins out of total muffins  \(=\frac{36*100}{90} = 40 %\)

So , the Blueberry Muffins were 40% of the total muffins baker made.

Learn more about percentage , visit:

https://brainly.com/question/13450942

#SPJ1

Answer: 2 quarts 1 pint

Step-by-step explanation: Kim needs 10 cups of apple juice 2 cups are 1 pint so that makes it already 5 pints so now we need to turn the 5 pints into quarts so 2 quarts is what we have but we have some left over we have 1 pint left so we have 2 quarts and 1 pint, we could always convert the pint into a fraction depends on how or what way your teacher wants it wrote

Given:

solving for a:

ANSWER

a = (y - g)/x

Answer:

Step-by-step explanation:

=5

The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.

Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:

z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)
z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)

To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:

P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)

where Φ is the cumulative distribution function of the standard normal distribution.

Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.

For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:

P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878

Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

To know more about sample mean refer here:

https://brainly.com/question/31101410

#SPJ11

Answer:

Step-by-step explanation:

The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.

Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:

z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)

z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)

To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:

P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)

where Φ is the cumulative distribution function of the standard normal distribution.

Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.

For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:

P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878

Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

Answer:

25

Step-by-step explanation:

150 divided by 30 times 5

Hope this helps. I May be wrong though.

Answer:

STEP 1:

 ((4•(x2))-(y2))   ((x2)+xy)÷ (((2•(x2))-7xy)+(3•(y2))) ÷ (23x5•y)

Equation at the end of step 1

  (((x2)•y)-(x•(y2)))  (8x+4y)

STEP 2 :

  ((4•(x2))-(y2))   ((x2)+xy) ÷ (((2•(x2))-7xy)+3y2) ÷ 23x5y

Equation at the end of step 2:

 (((x2)•y)-(x•(y2)))  (8x+4y)

STEP 3:

 ((4•(x2))-(y2))  - ((x2)+xy)÷ ((2x2-7xy)+3y2) ÷ 23x5y

Equation at the end of step 3:

(((x2)•y)-(x•(y2)))  (8x+4y)

STEP 4:

           x2 + xy

Simplify  

           8x + 4y

STEP 5:

Pulling out like terms 5.1 Pull out like factors :

  x2 + xy  =   x • (x + y)

STEP 6:

Pulling out like terms 6.1 Pull out like factors :

  8x + 4y  =   4 • (2x + y)

Equation at the end of step 6:

   ((4•(x2))-(y2)) x•(x+y)÷ (2x2-7xy+3y2) ÷ 23x5y(((x2)•y)-(x•(y2))) 4•(2x+y)

STEP7:

    x•(x+y)      

Divide  ————————  by  2x2-7xy+3y2

        4•(2x+y)      

Step-by-step explanation:

hope this helps if not let me know have a blessed day