Find A∩B,given A={0,2,4,6,8}and B={-2,-4}
1 answer:
You might be interested in
We can solve for the 3 triangle sides.
The left side is easy 6.
Second side² = 7² + 4²
Second side² = 49 + 16
Second side = square root (65)
Second side = <span> <span> <span> 8.0622577483 </span> </span> </span>
Third Side² = 7² + 2²
Third Side² = 53
Third Side = <span> <span> <span> 7.2801098893 </span> </span> </span>
When we know 3 sides, we use Heron's formula for calculating area:
Perimeter = <span> <span> <span> 21.3423676376 </span> </span> </span>
Semi-Perimeter = <span> <span> <span> 10.6711838188 </span> </span> </span>
Using Heron's Formula
area = square root (<span>10.6711838188 * </span><span>4.6711838188 * </span> <span> <span> <span> 2.6089260705 </span> </span> </span> * <span> <span> <span> 3.3910739295 </span> </span> </span> )
area = square root (441)
area = 21
Yes, it's just that "easy". LOL
The left side is easy 6.
Second side² = 7² + 4²
Second side² = 49 + 16
Second side = square root (65)
Second side = <span> <span> <span> 8.0622577483 </span> </span> </span>
Third Side² = 7² + 2²
Third Side² = 53
Third Side = <span> <span> <span> 7.2801098893 </span> </span> </span>
When we know 3 sides, we use Heron's formula for calculating area:
Perimeter = <span> <span> <span> 21.3423676376 </span> </span> </span>
Semi-Perimeter = <span> <span> <span> 10.6711838188 </span> </span> </span>
Using Heron's Formula
area = square root (<span>10.6711838188 * </span><span>4.6711838188 * </span> <span> <span> <span> 2.6089260705 </span> </span> </span> * <span> <span> <span> 3.3910739295 </span> </span> </span> )
area = square root (441)
area = 21
Yes, it's just that "easy". LOL
Answer:
The probability is 0.252 ⇒ 3rd answer
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (M - μ)/σM , where
# M is the sample mean
# μ is the mean
# σM is the standard deviation of the sample mean (standard error)
- The rule of σM = σ/√n , where n is the sample size
* Lets solve the problem
∵ The mean weight is 20.1 ounces
∴ μ = 20.1
∵ The standard deviation is 0.3 ounces
∴ σ = 0.3
∵ You randomly select 25 cartons
∴ n = 25
∵ Their mean weight is greater than 20.06
∴ M = 20.06
- Lets find σM
∵ σM = σ/√n
∴ σM = 0.3/√25 = 0.3/5 = 0.06
- Lets find z-score
∵ z-score = (M - μ)/σM
∴ z-score = (20.06 - 20.1)/0.06 = -0.04/0.06 = - 0.6670
- To find P(M > 20.06) you will asking to find the proportion of area
under the standard normal distribution curve for all z-scores > -0.670
- It can be read from a z-score table by referencing a z-score of -0.670
- Look to the attached table
∴ P(M > 20.06) = 0.2514
* The probability is 0.252
