25,000 + 600 considering they would meet at 0, so they are 25,600 feet apart
Answer:
- <em>A line of symmetry and the line between opposite points in the symmetry</em><em> are </em><u>perpendicular to each other. </u>
Explanation:
A line of simmetry splits the figure into two identical halves.
Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.
The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.
For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).
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:
No, I do not agree with the conjecture because 1 is not a prime number.
Step-by-step explanation:
A prime number is one that can be divided by 1 and itself only. Thus it can be expressed in 2 factors only, 1 and the number itself.
Examples are; 2, 3, 5, 13, 19 , 23 etc.
So, 2 = 1 x 2
3 = 1 x 3
23 = 1 x 23
Prime numbers must be expressed as the product of 1 and the number.
The conjecture that every prime number can be expressed as the product of two prime numbers is false. Because 1 is not a prime number, since it has no 2 factors.
1 lb = 0.45 kg
52 lb= 0.45 * 52
52 lb= 23.4 kg
