Answer:
0.1800 to 4 places of decimals.
Step-by-step explanation:
Using the Binomial formula
Probability = 10C5* (0.95)^95 * (0.05)^5
= 100! / 95!*5! * (0.95)^95 * (0.05)^5
= 0.1800178.
Step-by-step explanation:
The correct answer is 5i
Answer:
∠1=∠9=43°, ∠2=∠7= 17°, ∠4=∠5=∠6=60°, ∠3=∠8=120°
Step-by-step explanation:
Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step one:
for James
the initial mile covered= 6miles
the planned number of miles per day= 3miles
let the number of days be x
and the total distance in miles be y
the total distance for the x days day will be
y=6+3x------------1
step two:
for Aaron
the planned number of miles per day= 4miles
let the number of days be x
and the total distance in miles be y
the total distance for the x days day will be
y=4x------------2
The system of equations is
y=6+3x--2
y=4x----2
Step three:
for the number of days that Aaron needs to run to meet up with James, we need to equate the two equations to find x which is the solution
6+3x=4x
6=4x-3x
x=6days
This means that Aaron will have to run at 4mile per day consistently for 6 days to meet up with James
