The answer is 52.
65 x 0.8 = 52.
Answer:
a) modal number of teachers in a car is 3
b) median number of teachers in a car is 3
c) mean number of teachers in a car is 2.5
Step-by-step explanation:
- modal number is 3 because that is the highest frequency of numbers of cars
- median number is 3 because it is the middle number when you expand the frequency table.
- mean number is 2.5 because that is the approximate average of all the numbers.
Given
sec ² (x)-2=tan ² (x)
we look for solutions x ∈ [0,2 π ]
First, rewrite equation in sin(x) and cos(x),
1/cos²(x) - 2 = sin²(x)/cos²(x)
Multiply both sides by cos²(x), when cos(x)≠0, i.e. x≠ π/2 or 3π/2.
1-2cos²(x) = sin²(x)
Rearrange and solve:
1=(sin²(x)+cos²(x))+cos²(x)
=>
cos²(x)=0
=>
cos(x)=0
Since it is a condition before multiplication that cos(x)≠0, we conclude that there is no solution.
Answer:
See below
Step-by-step explanation:
<em><u>A</u></em>
consider what the graph looks like. It has intercepts at x = - 2 and x = 4. I consider (0,0) to be an intercept as well even though the graph merely changes direction at 0,0. In my mind there are 3 intercepts.
More precisely, the intercepts are at (0,0) (-2,0) and (4,0
<em><u>B</u></em>
The y intercept is at (0,0)
<em><u>C</u></em>
The three turning points are (I should have marked them. You should go to Desmos and put the graph in and use your mouse to click on the points where you have local minimums and maximums. You should be able to confirm my findings).
(-1.386, -6.353)
(0,0)
(2.886, - 45.335)
<em><u>D</u></em>
As x approaches - infinity the range is increasing. y is getting larger.
As x approaches +infinity, y is getting larger.
752/2 would equal to 376.
So if you put 2 into 7, you would get 3 since you can put 2 into 7 three times, and that is how you get 3 in 376.
Then, when you multiply 2 by 3 since you put 2 into 7 three times, you get 6. You subtract 7-6 and you get 1.
You bring down the 5 in 752 and now you have 15. You can put 2 into 15 seven times, and that is how you get 7 in 376.
You multiply 7 by 2 and you get 14. You subtract 15-14 and then you get 1.
You bring down the 2 in 752 and now you have 12. You can put 2 into 12 six times, and that is how you get 6 in 376.
You multiply 2 by 6 and then you get 12. You subtract 12 by 12 and you end up with 0.
So for our final answer, we get 376. I hope this helped! :3 If you have any questions about what I just explained, feel free to let me know, and I'll try to help as much as possible.
