What is the inverse operation of addition? How do you "undo" addition?

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

8 0

2 years ago

Perimeter of 60 , length is 3 times the width, what are the dimensions

Murljashka [212]

Length - l

Width - w

Given,

Perimeter = 60

2(l +w) = 60

l + w = 30

l = 30 - w

Given,

l = 3w

30 - w = 3w

4w = 30

--- w = 7.5

--- l = 3w = 3 * 7.5 = 29.5

Hence, the length of the rectangle is 29.5 and the width is 7.5

7 0

4 years ago

I'LL GIVE BRAINLIST JUST PLZ HELP ME

Evgen [1.6K]

Answer:

12 * 24 * 17 = 4896

10 * 12 * 4 = 480

4896 + 480 = 5376

the volume is 5376 cubic inches.

7 0

3 years ago

Read 2 more answers

Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. plss help

Natalija [7]

Answer:

3/5

Step-by-step explanation:

sinA = opp/hyp

= 21/35

= 3/5

8 0

3 years ago

At a cell phone assembly plant, 77% of the cell phone keypads pass inspection. A random sample of 111 keypads is analyzed. Find

Serggg [28]

Answer:

The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Let p = the proportion of keypads that pass inspection at a cell phone assembly plant.

The probability that a randomly selected cell phone keypad passes the inspection is, p = 0.77.

A random sample of n = 111 keypads is analyzed.

Then the sampling distribution of $\hat p$ is:

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})\\\Rightarrow \hat p\sim N (0.77, 0.04)$

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:

$P(0.72$

$=P(-1.25$

Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

8 0

3 years ago