Answer:
X=17
Step-by-step explanation:
AC^2=AB^2 +BC^2(PYTHAGOREAN THEORM)
100=64 +BC^2
36=BC^2
6CM=BC
AD^2=AB^2+BD^2(PYTHAGOREAN THEORM)
X^2 =64+225
X^2=289
X=17
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 33 on the right side like this:
5 ⟌ 3 3
Step 2:
The divisor (5) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 3 3
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 3 3
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
0
5 ⟌ 3 3
- 0
3
Step 5:
Move down the 2nd digit of the dividend (3) like this:
0
5 ⟌ 3 3
- 0
3 3
Step 6:
The divisor (5) goes into the bottom number (33), 6 time(s). Therefore, put 6 on top:
0 6
5 ⟌ 3 3
- 0
3 3
Step 7:
Multiply the divisor by the result in the previous step (5 x 6 = 30) and write that answer at the bottom:
0 6
5 ⟌ 3 3
- 0
3 3
3 0
Step 8:
Subtract the result in the previous step from the number written above it. (33 - 30 = 3) and write the answer at the bottom.
0 6
5 ⟌ 3 3
- 0
3 3
- 3 0
3
Which equals 6
Answer:
y=(x+6)(x−2)(x+2)
Step-by-step explanation:
Answer:
While it is a linear equation, it is not a linear function. This is because it is shown to have infinite numbers of y-values instead of being paired up with only one.
Answer:
19% of households have more cars than the garage can hold
Step-by-step explanation:
We are given the following distribution for the number of cars owned by a family.
Number of cars X: 0 1 2 3 4 5 6
Probability: 0.07 0.31 0.43 0.12 0.04 0.02 0.01
We have to find the percentage of households have more cars than the garage can hold.
A garage can hold two cars. Thus, the household with more than two cars are the households that have more cars than the garage can hold.
The given distribution is a discrete probability distribution.
Thus, we evaluate:
![P(x\geq 3) = P(x+3) + P(x+4) + P(x+5) + P(x+6)\\P(x\geq 3) = 0.12 +0.04+ 0.02 +0.01 = 0.19\\P(x\geq 3) = 19\%](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%20%3D%20P%28x%2B3%29%20%2B%20P%28x%2B4%29%20%2B%20P%28x%2B5%29%20%2B%20P%28x%2B6%29%5C%5CP%28x%5Cgeq%203%29%20%3D%20%20%200.12%20%2B0.04%2B%200.02%20%2B0.01%20%3D%200.19%5C%5CP%28x%5Cgeq%203%29%20%3D%2019%5C%25)
Thus, 19% of households have more cars than the garage can hold.