Answer:
x = 16°
H = 46°
I = 55°
J = 39°
Step-by-step explanation:
Since the whole figure is 180°
Deduct 180 by the numbers mentioned above in order to find x.
180 - 2 - 9 - 9 = 160
3x + 4x + 3x = 10x
10 x = 160
x = 160 ÷ 10 = 16
Since we know what x is, we can find all the angles in the figure.
Angle at H = 3 x 16 - 2 = 46°
Angle at I = 4 x 16 - 9 = 55°
Angle at J = 3 x 16 - 9 = 39°
Answer:
If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.
There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.
Step-by-step explanation:
Whenever they ask what is a certain fraction of a number, just multiply.
(3/4)(535)=401.25
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
Answer:
Option B) In control as this one data point is not more than three standard deviations from the mean
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 104 rotations per minute
Standard Deviation, σ = 8.2 rotations per
We are given that the distribution of process is a bell shaped distribution that is a normal distribution.
Formula:
For x = 118
Thus, we could say that this data point lies within three standard deviations from the mean as:
Thus, it could be said
Option B) In control as this one data point is not more than three standard deviations from the mean
