A) Understanding the terms of a contract is important because a person must be certain of the obligations towards the other party, and must also be aware of penalties incurred if those obligations are not met.

6 0

3 years ago

Read 2 more answers

Add, using the rule for order of operations if necessary: 15+ [2 + (-4)] + (−9)?

schepotkina [342]

$15 + ( - 2) + - 9 = 13 - 9 = 4$

#Goodluck!

8 0

1 year ago

Scores on the 1995 SAT verbal aptitude test x among Kentucky high school seniors were normally distributed with mean 420 and sta

Katyanochek1 [597]

Answer:

d. 0.80

Step-by-step explanation:

The given regression equation is

y=0.6x+188

Here, slope=b=0.6

xbar=420, sx=80, ybar=440 and sy=60.

As we know that when y=a+bx, the slope is

b=r(sy/sx)

From this equation we can find correlation coefficient r

b*sx=r*sy

bsx/sy=r

r=0.6*80/60=48/60=0.80.

Hence the correlation coefficient r=0.8.

7 0

3 years ago

Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They wor

zysi [14]

Answer: 19.65 hours

Step-by-step explanation:

Mike: $\frac{1}{x-1}\ \text{hours}$

Homer: $\frac{1}{x}\ \text{hours}$

The each work 7 hours plus Mike works 5 hours alone:

$7\bigg(\dfrac{1}{x-1}\bigg)+7\bigg(\dfrac{1}{x}\bigg)+5\bigg(\dfrac{1}{x-1}\bigg)=1\ job\\\\\\12\bigg(\dfrac{1}{x-1}\bigg)+7\bigg(\dfrac{1}{x}\bigg)=1\ job\\\\\\\bigg(\dfrac{12}{x-1}\bigg)+\bigg(\dfrac{7}{x}\bigg)=1\\\\\\(x)(x-1)\bigg(\dfrac{12}{x-1}\bigg)+(x)(x-1)\bigg(\dfrac{7}{x}\bigg)=1(x)(x-1)\\\\\\12(x) + 7(x-1)=x^2-x\\\\12x + 7x - 7 = x^2-x\\\\.\qquad \qquad \ \ 0=x^2-20x+7$

Use quadratic formula to solve for x:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\.\quad=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(1)(7)}}{2(1)}\\\\.\quad=\dfrac{20\pm \sqrt{400-28}}{2}\\\\.\quad=\dfrac{20\pm \sqrt{372}}{2}\\\\.\quad=\dfrac{20\pm 19.3}{2}\\\\.\quad=10\pm9.65\\\\.\quad=19.65\quad or\quad 0.35$

We know that 0.35 cannot be a valid answer since it took at least 12 hours to complete the job.

So, Homer can get 1 job done in 19.65 hours.

5 0

3 years ago