Here, I'll help you a little
rewrite the equation as -6k/5 = 12
multiply both sides by 5
-6k=60
divide both sides by -6 to isolate k
k = -10

Hope this helps :)

6 0

2 years ago

Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downto

Andrew [12]

Answer:

$6,900

Step-by-step explanation:

Let

x = Amount Monica should earn each month

Rent per month = $2,300

Monica knows that she should spend no more than 1/3 of her income on her rent

1/3 of her Income = rent

1/3 of x = 2,300

1/3x = 2,300

x = 2,300 ÷ 1/3

x = 2,300 * 3/1

x = $6,900

Monica should earn $6,900 each month to afford the rent on her cool new place

7 0

2 years ago

A sample of size 200 will be taken at random from an infinite population. given that the population proportion is 0.60, the prob

Musya8 [376]

Let p be the population proportion. 
We have p=0.60, n=200 and we are asked to find P(^p<0.58). 
The thumb of the rule is since n*p = 200*0.60 and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is considered to be large and hence the sampling distribution of sample proportion-^p will follow the z standard normal distribution. Hence this sampling distribution will have the mean of all sample proportions- U^p = p = 0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] = √[0.60*(1-0.60)/200] = √0.0012.
So, the probability that the sample proportion is less than 0.58
= P(^p<0.58)
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0...
= P(z<-0.58)
= P(z<0) - P(-0.58<z<0)
= 0.5 - 0.2190
= 0.281
So, there is 0.281 or 28.1% probability that the sample proportion is less than 0.58.

4 0

3 years ago