The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is 
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>
<u>Point-slope formula:</u>
Substitute the given values in the formula, we get
Subtract 3 from both sides of the equation.
Hence the equation of the parallel line is y = –2x – 11.
Answer:
5/3 teaspoons (if you don't want an improper fraction, it's 1 2/3 teaspoons)
Step-by-step explanation:
If she uses 1 tsp for 3 cups, then the amount needed for one cup is 1/3 tsp.
Since the mother is using 5 cups, just multiply 1/3 by 5, which equals 5/3.
Answer:
a. There's a 95% chance that the true proportion is in the confidence interval.
Step-by-step explanation:
When we want to estimate a property of a population (a population's parameter), without surveying the population, we use samples.
Then, with the information of the samples we can calculate the statistics and infere properties about a population. This inferences obviously came with some uncertainty, depending on the properties of the sample and specially the sample size.
When we talk about confidence intervals, we use the statistic of the sample (in this case, the mean) to estimate a range of values it is expected to find the true mean of the population. The width of this interval depends on the sample standard deviation and the sample size.
The value of the confidence interval (95%, 99%, etc) represent the probabilty that the true mean is within this interval.
Answer:
x=
−399
/75
Explanation:
Step 1:
−34(8x+12)=3(x−3)
(−34)(8x)+(−34)(12)=(3)(x)+(3)(−3)(Distribute)
−272x+−408=3x+−9
−272x−408=3x−9
Step 2:
−272x−408−3x=3x−9−3x
−275x−408=−9
Step 3:
−275x−408+408=−9+408
−275x=399
Step 4:
−275x
−275
=
399
−275
