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>
Answer:
Below in bold.
Step-by-step explanation:
Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.
30 + 12x = 6(5 + 2x)
So 6 and 5 + 2x is one possible answer.
3 and 10 + 4x is another.
12 and 2.5 + x is another.
If we multiply these pairs together we see that the result is
30 + 12x in each case.
Answer:
1. U. 190
2.U. 155
3. U. 240
Step-by-step explanation:
Explanation: To find an angle of a triangle we add the angles we know about
EXAMPLE: 50 + 120. We need to find the third angle.
We know that Angles of triangles should add up to 360
So to find the third angle we add the angle we know about.
EXAMPLE: 50 + 120 = 170 then we Subtract the sum of a triangle *360*
EXAMPLE: 50 + 120 = 170
EXAMPLE: 170 - 360
EXAMPLE: = 190
That's how we find a third angle!
If this doesn't clarify how do to it enough just let me know and i can try to explain more in detail!
Hope this helps you!!!
Have a nice day!
Answer:
Step-by-step explanation:
<u>Count the number of letters</u>
- 1 = one ⇒ 3 letters
- 2 = two ⇒ 3 letters
- 3 = three ⇒ 5 letters
- 4 = four ⇒ 4 letters
- 5 = five ⇒ 4 letters
- 6 = six ⇒ 3 letters
Answer:
-5x^2 +x
Step-by-step explanation:
x(x-2)-3x(2x-1)
Distribute
x^2 -2x -6x^2 +3x
Combine like terms
-5x^2 +x
