Answer:
P(X = 17) = 0.3002
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
We want P(X = 17). So
P(X = 17) = 0.3002
48:
48/2 = 24
24/2 = 12
12/2 = 6
6/2 = 3
We can not divide by 2, but we can divide by 3:
3/3 = 1
That's as far as we go. So I divided by 2 four times and once by 3:
Therefore:
48 = 2 * 2 * 2 * 2 * 3
Now we take 72
72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
Nine is not divisible by 2, but it is by 3, so:
9 / 3 = 3
3 / 3 = 1
That's as far as we can go.
I divided by 2 three times and by 3 two times. Therefore
72 = 2 * 2 * 2 * 3 * 3
So, taking the bigger picture:
<span><span>4872</span>=<span><span>2∗2∗2∗2∗3</span><span>2∗2∗2∗3∗3</span></span></span>
Now three two's cancel out and one three cancels out and we get
<span>2\3
answer=2\3</span>
<span>
</span>
1. An angle that is between 0° and 90° is an ACUTE ANGLE.
2. Angles, segments, triangles, etc that have exactly the same measures are CONGRUENT.
3. Two angles that add up to 180° are SUPPLEMENTARY ANGLES.
4. Angles that are opposite to one another at the intersection of two lines are VERTICAL ANGLES.
5. Two angles in a common plane which share a common Bertrand a common side but do not overlap are ADJACENT ANGLES.
6. Two angles that add up to 180° that share a common vertex are ADJACENT SUPPLEMENTARY ANGLES.
7. Two angles that are located between two coplanar lines on opposite sides of the transversal are ALTERNATE INTERIOR ANGLES.
8. Two angles that are located outside two coplanar lines on opposite sides of the transversal are ALTERNATE EXTERIOR ANGLES.
9. Two angles that are located between two coplanar lines on the same side of the transversal are CONSECUTIVE INTERIOR ANGLES.
10. Two angles that are formed by two coplanar lines and a transversal and occupy the same relative positions are CORRESPONDING ANGLES.
11. An angle that is 180° is a STRAIGHT ANGLE.
If you let x represent the width of the rectangle, then you can write the equation for area as
.. x(2x +5) -63 = 0
This has positive solution x=4.5.
The rectangle is 4.5 meters by 14 meters.
Answer:
−
3
w
2
−
9
w
−
4
Step-by-step explanation:
Subtract 6
w
2 from 3
w
2
−
3
w
2
−
5
w
−
6
-4
w
+
2
Subtract 4
w from −
5
w
.−
3
w
2
−
9
w
−
6
+
2
Add −
6
add
2
.
-3
w
2−
9
w−
4
