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2 years ago

14

Here's the problem:

1 answer:

steposvetlana [31]2 years ago

5 0

The three integers can be anything that leads down to the product of negative 4 or -4 is negative -2 x -1 x -2 i think this is it since i am also learning about this in 7th grade k12

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Telephone plan consist of a monthly fee of $20 plus $.20 per minute for long distance calls made write an equation for the total

HACTEHA [7]

Answer:

$C=20+0.20N$

Step-by-step explanation:

Fixed monthly fee = $20

Amount charged per minute for long distance calls = $0.20

$C$ denotes total cost such that $N$ minutes are used for long distance calls.

Amount charged for $N$ minutes for long distance calls $=0.20N$

Therefore, an equation for the total cost, C, when N minutes are used for long distance calls is $C=20+0.20N$

5 0

3 years ago

You want to test your newly created Web site, so you have 250 people access it from random locations at random times. Of the peo

Arte-miy333 [17]

Answer: 505

Step-by-step explanation:

The formula to find the sample size n , if the prior estimate of the population proportion (p) is known:

$n= p(1-p)(\dfrac{z}{E})^2$ , where E= margin of error and z = Critical z-value.

Let p be the population proportion of crashes.

Prior sample size = 250

No. of people experience computer crashes = 75

Prior proportion of crashes $p=\dfrac{75}{250}=0.3$

E= 0.04

From z-table , the z-value corresponding to 95% confidence interval = z=1.96

Required sample size will be :

$n=0.3(1-0.3)(\dfrac{1.96}{0.04})^2$ (Substitute all the values in the above formula)

$n= (0.21)(49)^2= 0.21\times2401$

$n= 504.21\approx505$ (Rounded to the next integer.)

∴ Required sample size = 505

6 0

3 years ago

3. Tom's entered a snowman building contest in which the person who builds the tallest

kirill115 [55]

tom's snowman has to increase by anything greater than 4.4 ft

5 0

2 years ago

Read 2 more answers

The number of tourists at the beach per weekend in July was 55,000, In November, the number of tourists per weekend was 18,000.

Ganezh [65]

Answer:

The percentage change from July to November is 67.27 %

Step-by-step explanation:

Given as :

The number of tourists at the beach per weekend in the month of July = $x_1$ = 55,000

The number of tourists at the beach per weekend in the month of November = $x_2$ = 18,000

Let the percentage change from July to November = A %

Or, % decrease change = $\dfrac{\tetxtrm new value - \textrm old value}{\textrm old value}$ × 100

So , A % = $\dfrac{\tetxtrm [tex]x_2$ - \textrm $x_1$ }{\textrm $x_1$ }[/tex] × 100

or, A % = $\frac{55000 - 18000}{55000}$ × 100

Or, A % = $\frac{37000}{55000}$ × 100

Or, A = 67.27 %

So percentage change between two months = 67.27 %

Hence The percentage change from July to November is 67.27 % Answer

6 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago