Answer:
![P(C\ or\ D) = 1](https://tex.z-dn.net/?f=P%28C%5C%20or%5C%20D%29%20%3D%201)
Step-by-step explanation:
Given
![P(C) = \frac{3}{7}](https://tex.z-dn.net/?f=P%28C%29%20%3D%20%5Cfrac%7B3%7D%7B7%7D)
![P(D) = \frac{4}{7}](https://tex.z-dn.net/?f=P%28D%29%20%3D%20%5Cfrac%7B4%7D%7B7%7D)
Required
![P(C\ or\ D)](https://tex.z-dn.net/?f=P%28C%5C%20or%5C%20D%29)
Since the events are mutually exclusive, then:
![P(C\ or\ D) = P(C) + P(D)](https://tex.z-dn.net/?f=P%28C%5C%20or%5C%20D%29%20%3D%20P%28C%29%20%2B%20P%28D%29)
So, we have:
![P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}](https://tex.z-dn.net/?f=P%28C%5C%20or%5C%20D%29%20%3D%20%5Cfrac%7B3%7D%7B7%7D%20%2B%20%5Cfrac%7B4%7D%7B7%7D)
Take LCM
![P(C\ or\ D) = \frac{3+4}{7}](https://tex.z-dn.net/?f=P%28C%5C%20or%5C%20D%29%20%3D%20%5Cfrac%7B3%2B4%7D%7B7%7D)
![P(C\ or\ D) = \frac{7}{7}](https://tex.z-dn.net/?f=P%28C%5C%20or%5C%20D%29%20%3D%20%5Cfrac%7B7%7D%7B7%7D)
![P(C\ or\ D) = 1](https://tex.z-dn.net/?f=P%28C%5C%20or%5C%20D%29%20%3D%201)
H(10)=8(10)+10
h(x)=90
hope this helps
Hi,
![16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21](https://tex.z-dn.net/?f=16%20%3D%20-%205%20%2B%20z4%20%5C%5C%20-%204z%20%2B%2016%20%3D%20-%205%20%5C%5C%20-%204z%20%3D%20-%205%20-%2016%20%5C%5C%20-%204z%20%3D%20-21)
Now just divide both sides of equation by -4.
![z = \frac{21}{4}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B21%7D%7B4%7D%20)
Simplify:
![z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result](https://tex.z-dn.net/?f=z%20%3D%205%20%5Cfrac%7B1%7D%7B4%7D%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20fraction%20%5C%3A%20result)
Decimal form:
![z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result](https://tex.z-dn.net/?f=z%20%3D%205.25%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20decimal%20%5C%3A%20result)
Hope this helps.
r3t40
Answer:
-0.05
Step-by-step explanation:
Given the expression :
0.1×( – 0.9+ – 0.2÷ – 0.5)
Evaluating the bracket :
0.1 * (-0.9 - 0.2 ÷ - 0.5)
Solving the division first
-0.2 ÷ - 0.5 = 0.4
Now we have ;
0.1 * (-0.9 + 0.4)
0.1 * - 0.5
= - 0.05
Answer:
19.2
Step-by-step explanation:
Add 12 squared to 15 squared(144+225)
Square root the answer(
)
Round to the nearest tenth(19.209)