Solve the following equations for x. kx

Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we

Phoenix [80]

Answer-

Set of constraints to model the problem are,

$12x+9y\geq 510$

$y \leq 2x$

$y \geq 25$

Solution-

x = the number of lawns weeded by Gwen,

y = the number of dogs walked by Fabio.

1.

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

$\text{Earnings of Gwen} = 12x$

$\text{Earnings of Fabio} = 9y$

$\text{Total earning} = 12x+9y$

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

The equation for this is,

$12x+9y\geq 510$

2.

The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

$y \leq 2x$

3.

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

$y \geq 25$

8 0

3 years ago

Read 2 more answers

1) Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.

densk [106]

Answer:

E) .0863

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

For this case we can find the sample proportion for each observation with the following formula:

$\hat p = \frac{X}{n}$

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:

$p_1 = \frac{10}{100}=0.1$

$p_2 = \frac{9}{100}=0.09$

$p_3 = \frac{11}{100}=0.11$

$p_4 = \frac{7}{100}=0.07$

$p_5 = \frac{3}{100}=0.03$

$p_6 = \frac{12}{100}=0.12$

$p_7 = \frac{8}{100}=0.08$

$p_8 = \frac{4}{100}=0.04$

$p_9 = \frac{6}{100}=0.06$

$p_{10} = \frac{11}{100}=0.11$

And now witht those values we can find the sample mean of proportions with the following formula:

$hat p = \frac{\sum_{i=1}^n p_i}{n}= \frac{0.1+0.09+0.11+0.07+0.03+0.12+0.08+0.04+0.06+0.11}{10}=0.081$

And we can find the standard error with the following formula:

$SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.081(1-0.081)}{10}}=0.0863$

So then the best option on this case is given by:

E) .0863

6 0

3 years ago

Your friend really wants to buy the newest coolest cell phone

andre [41]

to buy the coolest new cell phone

you gotta save up all of your potatoes and plastic sporks

explanation:

because we know u didnt post the question we know that saving up billions of potatoes and plastic sporks to pay for the newest phone :)

5 0

3 years ago

Read the statement and decide whether the change is physical or chemical. Burning a campfire is a

elena55 [62]

Burning campfire is a chemical reaction. Anything that's on fire creates chemical reactions.

4 0

4 years ago

What is the solution to the equation w+6=5w-10

docker41 [41]

Answer:

w = 4

Step-by-step explanation:

you would do this by re-arranging the equation

6 = 5w-10-w (move w to the other side)

6 = 4w-10 (because 5w-w = 4w)

6+10=4w (move 10 to the other side)

16 = 4w (add 6 and 10)

4 = w (divide both sides by 4)

6 0

4 years ago

Solve the following equations for x. kx - b=3d + 7b