Answer:
what do you mean for this question. What do you need help on?
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = 
≈ 0.246
So the probability of that is 24,6 %
Good Luck
Answer:
Area = 3,656.6 m²
Step-by-step explanation:
Area enclosed by the track is composed of two semicircles and a rectangle.
Area = area of two semicircles + area of rectangle
= 2(½*πr²) + L*W
Where,
radius of semicircle (r) = ½of 40 m = 20 m
Length of rectangle (L) = 60 m
Width of rectangle (W) = 40 m
Plug in the values
Area = 2(½*π*20²) + 60*40
Area = 400π + 2,400
Area = 3,656.6 m² (aooroximated to nearest tenth)
To solve this problem you must apply the proccedure shown below:
1. You have that the ratio of the tangent function is:
tan(angle)=opposite/adjacent
2. Keeping this on mind, you have:
tan(A)=12/5
Therefore, the answer is:
tan(A)=12/5
Answer:
m<1 = 150°
Step-by-step explanation:
Given:
m<1 = (4x + 50)°
m<2 = (7x - 25)°
Required:
m<1
Solution:
To find m<1, we need to create an equation that will enable us determine the value of x.
Thus,
4x + 50 = 7x - 25 => corresponding angles are congruent to each other
4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)
-3x + 50 = - 25
-3x + 50 - 50 = -25 - 50 (substraction property of equality)
-3x = -75
-3x/-3 = -75/-3 (division property of equality)
x = 25
✅m<1 = (4x + 50)°
Plug in the value of x
m<1 = 4*25 + 50 = 100 + 50
m<1 = 150°
