Answer:x=3
Step-by-step explanation:
the 3 angles of a triangle equal 180
you add 105 and 46, which equals 151
you subtract 151 from 180 to see what the missing angle is (29)
you would make 6x+11 equal to 29
-subtract 11 from 29= 18
6x/6, 18/6
the answer is 3
hope this helps! :)
1)5
2)1
3)7
4)9
When you need to find the blank and get a explanation you should you solve for x calculator it’s easier that way
Answer: 11.9%
Step-by-step explanation:
Given : On a stretch of Interstate-89, car speed is a normally distributed variable with
mph and
mph.
Let x be a random variable that represents the car speed.
Since , ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
z-score corresponds x = 73 , ![z=\dfrac{73-69.1}{3.3}\approx1.18](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B73-69.1%7D%7B3.3%7D%5Capprox1.18)
Required probability :
![\text{P-value }: P(x>73)=P(z>1.18)\\\\=1-P(z](https://tex.z-dn.net/?f=%5Ctext%7BP-value%20%7D%3A%20P%28x%3E73%29%3DP%28z%3E1.18%29%5C%5C%5C%5C%3D1-P%28z%3C1.18%29%5C%5C%5C%5C1-0.8809999%5C%5C%5C%5C%3D0.1190001%3D11.90001%5Capprox11.9%5C%25)
[using z-value table.]
Hence, the approximate percentage of cars are traveling faster than you = 11.9%
Answer:
P(A) = 86/100
P(B) = 79/100
P(A') = 14/100
P(A U B) = 95/100
P(A' U B) = 84/100
Step-by-step explanation:
i. P(A) = number of disks with high shock resistance/total number of disks
= (70+16)/100
= 86/100
ii. P(B) = number of disks with high scratch resistance/total number of disks
= (70+9)/100
= 79/100
iii. P(A') = number of disks without high shock resistance/total number of disks
= (100-86)/100
= 14/100
iv. P(AUB) = number of disks with high shock resistance or high scratch resistance/total number of disks
= (70+9+16)/100
= 95/100
v. P(A'UB) = number of disks without high shock resistance or with high scratch resistance/total number of disks
= (5+9+70)/100
= 84/100
Answer:Given an if-then statement if p, then q, we can create three related statements: A conditional statement consists of two parts, a hypothesis in the if clause and a .
Step-by-step explanation: