So, first lets define our variables:
let x = the number of dimes
let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16
now substitute:
.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5
So, you have 11 dimes and 5 nickels
Answer:
( 
, 3 )
Step-by-step explanation:
Given the 2 equations
y = 9x → (1)
6x - y = - 1 → (2)
Substitute y = 9x into (2)
6x - 9x = - 1, that is
- 3x = - 1 ( divide both sides by - 3 )
x =
Substitute x = into (1) for corresponding value of y
y = 9 × = 3
Solution is ( , 3 )
Answer:
5/32 or .15625
Step-by-step explanation:
5/8=.625x.25=5/32 or .15625
Answer:
50°
Step-by-step explanation:
Opposite angels of a parallelogram are congruent to each other.
This means:
<ADC = <ABC
<ADC = 38° + 12°
<ADC = 50°
Since <ADC = <ABC, therefore,
<ABC = 50°
Answer:
B. The mean amount of 
emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg
Step-by-step explanation:
A Type II error is the failure to reject a false null hypothesis.
Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower emissions.:
where 
is the mean amount of emitted by burning one gallon of this new gasoline.
If the null hypothesis is false, then:
A rejection of the alternate hypothesis above will be a Type II error.
Therefore:
The Type II error is: (B) The mean amount of emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.
