Answer: 
Step-by-step explanation:
- Slope intercept form has a general formula of
- m represents the slope of the line
- b represents the value of the lines y-intercept
- the equation must be rearranged into the general formula by isolating for 'y'
- to remove the x from the left side of the equation the opposite operation must be done to both sides
- the negative and positive x cancel out on the left side, leaving us with the equation with y by itself
- now you can rearrange to put the equation into
Final Answer: 
Answer: 3
Step-by-step explanation:
1.5+1.5=3
Answer:
B. is exactly 1 triangle
Step-by-step explanation:
For any given triangle, the sum of the internal angles is 
. Thus from the given question, adding the given angles;
30° + 70° + 80° =
Therefore, only one triangle can be produced with the given measure of angles. This implies that there is exactly one triangle. So that the correct option is B.
Answer:
Step-by-step explanation:
The mean SAT score is 
, we are going to call it \mu since it's the "true" mean
The standard deviation (we are going to call it 
) is
Next they draw a random sample of n=70 students, and they got a mean score (denoted by 
) of 
The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.
- So the Null Hypothesis 
- The alternative would be then the opposite 
The test statistic for this type of test takes the form
and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.
With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.
<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>
Given:
let h be the high quality bean
let c be the cheaper bean
h + c = 160
6h + 3.25c = 160*4.97
6h + 3.25c = 795.20
h = 160 - c
6(160 - c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
-2.75c = 795.20 - 960
-2.75c = -164.80
c = -164.80 / -2.75
c = 59.92 or 60 lbs
h = 160 - c
h = 160 - 60
h = 100 lbs
Sarah should blend 60 lbs of cheap coffee bean and 100 lbs of high quality coffee bean.
