Answer:
38 units.
Step-by-step explanation:
4x + 6 =
{midpoint theorem}
4x + 6 = ![\frac{1}{2}*4x + \frac{1}{2}*44](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2A4x%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%2A44)
4x + 6 = 2x + 22
4x -2x + 6 = 22
2x + 6 = 22
2x = 22 -6
2x = 16
x = 16/2
x = 8
Length of midsegment = 4x + 6 = 4*8 + 6
= 32 + 6
= 38
Point A altimeter reading: +450
Point B altimeter reading: -50
Answer:
184 m²
Step-by-step explanation:
Surface Area = 2(10*2) + 2(10*6) + 2(2*6)
Surface Area = 2(20 + 60 + 12)
Surface Area = 2(92)
Surface Area = 184 m²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you
Given:
Total number of cubes = 40
Red cubes = 18
Blue cubes = 13
Yellow cubes = 9
Aysha adds some more red cubes into the bag.
The probability now that she will take a red cube is 0.5.
To find:
The probability that she will take a yellow cube.
Solution:
Let Aysha adds x red cubes into the bag. Then,
Number of total cubes = 40+x
Number of red cubes = 18+x
Probability of getting a red cube is:
![P(Red)=\dfrac{18+x}{40+x}](https://tex.z-dn.net/?f=P%28Red%29%3D%5Cdfrac%7B18%2Bx%7D%7B40%2Bx%7D)
The probability now that she will take a red cube is 0.5. So,
![\dfrac{18+x}{40+x}=0.5](https://tex.z-dn.net/?f=%5Cdfrac%7B18%2Bx%7D%7B40%2Bx%7D%3D0.5)
![18+x=0.5(40+x)](https://tex.z-dn.net/?f=18%2Bx%3D0.5%2840%2Bx%29)
![18+x=20+0.5x](https://tex.z-dn.net/?f=18%2Bx%3D20%2B0.5x)
![x-0.5x=20-18](https://tex.z-dn.net/?f=x-0.5x%3D20-18)
![0.5x=2](https://tex.z-dn.net/?f=0.5x%3D2)
Divide both sides by 0.5.
![x=\dfrac{2}{0.5}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B2%7D%7B0.5%7D)
![x=4](https://tex.z-dn.net/?f=x%3D4)
It means Aysha adds 4 more red cubes into the bag.
Now, the total number of cubes int he bag is:
![40+4=44](https://tex.z-dn.net/?f=40%2B4%3D44)
Probability of getting a yellow cube is:
![P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}](https://tex.z-dn.net/?f=P%28Yellow%29%3D%5Cdfrac%7B%5Ctext%7BNumber%20of%20yellow%20cubes%7D%7D%7B%5Ctext%7BTotal%20number%20of%20cubes%7D%7D)
![P(Yellow)=\dfrac{9}{44}](https://tex.z-dn.net/?f=P%28Yellow%29%3D%5Cdfrac%7B9%7D%7B44%7D)
Therefore, the required probability is
.