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2 years ago

12

2.Use common sense to determine whether the given event is possible. You are the one-millionth customer at a local hardware stor

e.
It is impossible.
It is possible and likely.
It is possible, but very unlikely.
3.A lumberyard wanted to do a survey to see if its customers were interested in purchasing rope along with lumber. Four different groups volunteered to do the study for them. Which group should do the study so the bias is minimal?

a polyester company

a mill

a nylon company

a university

2 answers:

Misha Larkins [42]2 years ago

6 0

2. it is possible, but unlikely
3. a university

Tcecarenko [31]2 years ago

6 0

2. The answer is 3. 3. a university.

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Andre and Diego were each trying to solve 2x+6=3x−8. Describe the first step they each make to the equation. The result of Andre

Oksi-84 [34.3K]

Answer:

Andre subtracted 3x from both sides
Diego subtracted 2x from both sides

Step-by-step explanation:

<u>Andre</u>

Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.

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<u>Diego</u>

Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.

_____

<em>Comment on their work</em>

IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.

Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.

As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.

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1 year ago

Kathmandu lies at high altitude than Biratnagar from sea level Where does an object have more weight between two places?Give rea

Natalka [10]

Answe

Step-by-step explanation:

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1 year ago

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

vfiekz [6]

Answer:

b

Step-by-step explanation:

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2 years ago

. Solve the following initial value problem: (t2−20t+51)dydt=y (t2−20t+51)dydt=y with y(10)=1y(10)=1. (Find yy as a function of

Semenov [28]

Answer:

$y=(\frac{t-17}{t-3})^{\frac{1}{14}}$

Step-by-step explanation:

We are given that initial value problem

$t^2-20t+51)\frac{dy}{dt}=y$

$\frac{dy}{y}=\frac{dt}{t^2-20t+51}$

$\frac{dy}{y}=\frac{dt}{t^2-3t-17t+51}$

$\frac{dy}{y}=\frac{dt}{(t(t-3)-17(t-3)}$

$\frac{dy}{y}=\frac{dt}{(t-3)(t-17)}$

$\frac{1}{(t-3)(t-17)}=\frac{A}{t-3}+\frac{B}{t-17}$

$\frac{1}{(t-3)(t-17)}=\frac{A(t-17)+B(t-3)}{(t-3)(t-17)}$

$1=A(t-17)+B(t-3)$ ...(1)

Substitute t-3=0

t=3

t-17=0

t=17

Substitute t=3 in equation (1)

$1=A(3-17)+0$

$1=-14A$

$A=-\frac{1}{14}$

Substitute t=17

$1=B(17-3)$

$1=14B$

$B=\frac{1}{14}$

Substitute the values of A and B

$\frac{1}{(t-3)(t-17)}=-\frac{1}{14}(\frac{1}{t-3})+\frac{1}{14}(\frac{1}{t-17})$

$\int\frac{dy}{y}=-\frac{1}{14}\int\frac{dt}{t-3}+\frac{1}{14}\int\frac{dt}{t-17}$

$ln y=-\frac{1}{14}ln\mid{t-3}\mid+\frac{1}{14}\mid{t-17}\mid+ln C$

By using formula: $\frac{dx}{x}=ln x+C$

$ln y=\frac{1}{14}(-ln\mid{t-3}\mid+ln\mid{t-17}\mid)+ln C$

Using formula: $ln x-ln y=ln \frac{x}{y}$

$ln y=\frac{1}{14}(ln\mid{\frac{t-17}{t-3}}\mid)+ln C$

$ln y=\frac{1}{14}ln\mid{\frac{t-17}{t-3}}\mid+ ln C$

Substitute y(10)=1

$ln 1=\frac{1}{14}ln\mid\frac{10-17}{10-3}\mid+ln C$

$0=0+ln C$

Because ln 1=0

$lnC=0$

$C=e^0=1$

Because $ln x=y\implies x=e^y$

Substitute the value of C

$ln y=\frac{1}{14}ln\mid\frac{t-17}{t-3}\mid+ln1$

$ln y=\frac{1}{14}ln\mid\frac{t-17}{t-3}\mid+0$

$ln y=\frac{1}{14}ln\mid\frac{t-17}{t-3}\mid$

$14ln y=ln\mid\frac{t-17}{t-3}\mid$

$lny^{14}=ln\mid\frac{t-17}{t-3}\mid$

By using identity $blog a= loga^b$

$y^{14}=\frac{t-17}{t-3}$

$y=(\frac{t-17}{t-3})^{\frac{1}{14}}$

6 0

2 years ago

A SCHOOL HAS 320 GIRLS AND 250 BOYS

tigry1 [53]

Answer:

89

Step-by-step explanation:

I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them together. I hope it helps and I'm not sure what method you would use for this but that's mine.

8 0

1 year ago