It takes the son one and half hours to clean the house. To find this you need the equations F+S=2 and F+1=S. (F=father and S=son) You take the F+1 and substitute it in for S in F+S to get F+(F+1)=2. Then you combined like factors, 2F+1=2, and simplify to get F=.5hr. After this you plug .5 in to F+1=S to get (.5)+1=S, meaning it takes the son 1.5 hour to clean the house.

7 0

2 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0

2 years ago

An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats

serious [3.7K]

Answer:

first class section has 14 Seats

Seat used = (5/7) * 14 = 10 Seats

Business class Section has 64 Seats

Seats used = (5/16) * 64 = 20 Seats

Economy class Section has 4 * 108 = 432 Seats

Seats used = (5/9) * 432 = 240 Seats

Total Seats = 14 + 64 + 432 = 510

Total Seats Used = 10 + 20 + 240 = 270

270/510 = 270 ( 2 * 255) > 1/2

Yes , more than half of the seats being used

Step-by-step explanation:

6 0

2 years ago

HELP If you apply these changes to the linear parent function , f(x)-=x what is the equation of the new function vertically comp

Aleksandr [31]

Answer:

transformed function, g (x) = (1/5)(-x)+7

Step-by-step explanation:

Assuming

f (x) = -x (and not f(x)-=x)

To compress/expand, we apply

g (x) = a*f(bx-k)+h

where

a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)

b=horizontal compression factor (=1 i this case)

h=vertical translation (=7)

k=horizontal translation (=0)

So the transformed function,

g (x) = (1/5)(-x)+7

7 0

3 years ago