No
1. Vertical 6, horizontal 10
6/10 = 3/5 slope
2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5
3. (Blue) vertical 4, horizontal 6
4/6 = 2/3 but does not equal 3/5
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>
<h3>
Answer: 80 degrees</h3>
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Explanation:
Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.
Once we know that angle 3 = 100, we will use this to find angle 4.
Angles 3 and 4 add to 180. They form a straight angle or straight line.
(angle3)+(angle4) = 180
(100) + (angle4) = 180
angle4 = 180-100
angle4 = 80 degrees
Answer:
The range is [0,37.5]
Step-by-step explanation:
We start by writing the equation that links x and y
From the question;
y = 7.5x
Now, she has enough material to make 5 only
When we talk of range, we are referring to the values on the y-axis
So the lowest y value is 0
and since the highest number of bracelets is 5;
The total cost of the 5 is 7.5(5) = 37.5
So the range is [0,37.5]
Answer:
-3/5
Step-by-step explanation:
