Let
One Number = x
Second Number =x-10
Third Number=x/2
Sum of three numbers is 50
x+x-10+x/2=50
2x-10+x/2=50
Multiply by 2 both sides
2*(2x-10+x/2)=50*2
4x-20+x=100
5x=100+20
5x=120
x=120/5
x=24
One number = x=24
Second number =x-10=24-10=14
Third number= x/2=24/2= 12
I believe the family budget to make a one- way trip will be $140 because each gallon is $3.50. You need 20 gallons to get there which is $70. You need 20 gallons to get back which is another $70. You add both and is $140. Hope this helped.
Answer:
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
Step-by-step explanation:
90% confidence interval
larger sample size = 20
condition : sample mean ( x-bar ) is the same for both samples
<em>This is a reasonable decision because the sample size has no effect on the 90% confidence interva</em>l
<u>from condition 1 :</u>
Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%
<u>for condition 2 :</u>
sample size = 20
mean = 2.25 ( assumed value )
std = 0.15 ( assumed value )
Z = 1.645 ( Z-value )
determine the 90% confidence interval
= mean ± z 
= 2.25 ± 1.645 
= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )