Answer: 0.00000565
Step-by-step explanation:
Required to win:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
Therefore, to win $10,000 ;
All 6 numbers must match
Number of right numbers = 6
Total numbers = 25
Since it is without replacement :
Probability = required outcomes / Total possible outcomes
P(First number match) = 6/25
P(second number match) = 5/24
P(third number match) = 4/23
P(fourth number match) = 3/22
P(fifth number match) = 2/21
P(sixth number match) = 1 / 20
Therefore, Probability of winning $10000 :
(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465
= 0.00000565
Answer:
3
HCF of 12, 45 and 75 by Prime Factorization
As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.
Step-by-step explanation:
Answer:
E. 0.759
Step-by-step explanation:
You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN
The sine of angle ∠LMN is 0.759, find the value of ∠LMN

∠LMN=49.38°
Find angle ∠LNM
You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence
∠LNM=180°-(90°+49.38°)
∠LNM= 180°-139.38°=40.62°
Find cos 40.62°
Cos 40.62°=0.7590
The line segments between (4,-6) and (-6,-16) is 1.
slope = y2 -y1 /x2-x1 = -16+6/-6-4=-10/-10=1
The complete question in the figure attached
1) calculate the area <span>all four sides
A=[12+9+12+9]*8=336 ft</span>²
if 1 gallons---------------------------- > covers 350 ft²
X------------------------------------ > 336 ft²
X=336/350=0.96 gallons
but remember
<span>that there are two coats of paint
</span>therefore
0.96*2----------- > 1.92------- > 2 gallons
the answer is 2 gallons