Answer:
The ratio is 29:30
Step-by-step explanation:
First, we need to calculate the mass of sugar in the mix
That would be 100-41-29 = 100-70 = 30g
So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar
From the question, mass of blackberry = 29g while the mass of sugar = 30g
Mass of blackberry to mass of sugar = 29:30
2x-3(0)=12
2x=12
x=6
(6,0)
2(0)-3y=12
-3y=12
y=-4
(0,-4)
2x-3(2)=12
2x-6=12
2x=18
x=9
(9,2)
ANSWERS: (6,0) (0,-4) (9,2)
Answer:
$15.70/hr
Step-by-step explanation:
The unit rate (amount earned per hour) is calculated as follows:
$102.05
------------- = $15.70/hr
6.5 hrs
Answer:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Step-by-step explanation:
Data given and notation
n=75 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Answer:
Step-by-step explanation:
Let be "x" the original volume of the solution (in milliliters) before the acid was added and "y" the volume of the solution (in milliliters) after the addition of the acid.
Set up a system of equations:
Applying the Substitution Method, you can substitute the second equation into the first equation and then solve for "x":