All categories

3 years ago

Write a proportion and show work

Mathematics

2 answers:

NeX [460]3 years ago

8 0

for this case we must write a proportion that shows the earnings obtained from Mrs. Miller for the sale of the house.

By making a rule of three we have:

179000 ------------> 100%

x -----------------------> 6%

Where "x" represents the gains obtained.

So:

$x = \frac {6 * 179000} {100}$

Writing the proportion:

$\frac {x} {179000} = \frac {6} {100}$

The earns were:

$x = 10740$

ANswer:

$\frac {x} {179000} = \frac {6} {100}\\x = 10740$

Irina-Kira [14]3 years ago

3 0

Answer:

$10,740

Step-by-step explanation:

You know that Mrs. Miller sells a house for $179,000. Then the cost of the house will be the 100%.

Knowing that she earns 6% of comission, you can set up the following proportion (Let be "x" the amount of money she earns), then:

$\frac{\$179,000}{100}=\frac{x}{6}$

Now you need to solve for "x". Therefore, you get:

$(6)(\frac{\$179,000}{100})=x$

$x=\$10,740$

You might be interested in

According to government data, 20% of employed women have never been married. If 10 employed women are selected at random, what i

Ierofanga [76]

Answer:

a) $P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

b) $P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

c) For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

And replacing we got:

$P(X\geq 8)=0.0000779$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Bin (n=10 ,p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable "number of women that have never been married" , on this case we now that the distribution of the random variable is:

$X \sim Binom(n=10, p=0.2)$

Part a

We want to find this probability:

$P(X=2)$

And using the probability mass function we got:

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

Part b

For this case we want this probability:

$P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

We can find the individual probabilities and we got:

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

Part c

For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

3 0

3 years ago

A T-shirt launcher can launch 105 shirts in 20 minutes. What is the rate in shirts per hour?

Margarita [4]

The T-shirt launcher can launch 315 shirts per hour.

4 0

3 years ago

Read 2 more answers

HELP !!!!!!!!!! What percent and degrees of the pie have been eaten?

Fofino [41]

Answer:

About 1/5 or 20%

Step-by-step explanation:

If the pie is cut in slices equal to the one eaten, there will be 5. And since one is eaten there are 4/5 left, or 1/5 taken.

7 0

3 years ago

A firm produces 500 units per week. it hires 20 full-time workers (40 hours/week) at an hourly wage of $15. raw materials are or

lora16 [44]

Raw material for 500 units per week = 500 x $10 = $5000

Cost of hiring 20 workers per week = 20 x 40 x 25 = $12000

Rental = $2250

Total = 5000 + 12000 + 2250 = $19 250

7 0

3 years ago

5 (23×)=48+27 (×-2) solve for ×

Lynna [10]

Negative 3/44
Jsjhsbsbzjjzjsbbsbsbbsbsbsbsb just because it needs to be 20 charters long

5 0

3 years ago