Hi there,
I’m attaching the same image with more information on the graph.
The 4th mark (the middle dashed line) is marking the mean (70).
The 3rd and the 5th are marking the mean less/plus 1 deviation.
So, 70.5 is the 5th mark.
Taking this into account:
The probability of selecting a container that has less than 70.5 is 0.1% + 2.2% +13.6% 34.1% + 34.1% = 84.1%
The probability of choosing more than 70,5 = 13.6% + 2.2% +0.1% = 15.9%
Good Luck!
Answer:
x=25 degrees
Step-by-step explanation:
x= 90 degrees - given(65 degrees)
x=90-65
x=25 degrees.
The angles add up to 90 degrees.
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?
If the measure of an angle is 135°,
then the measure of its supplement is 45°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.
