Supplementary = 180 degrees...
A + B = 180
3x + 12 + 7x + 38 = 180
10x + 50 = 180
10 x = 130
x = 13
To find the A just substitute x in...
3 ( 13) + 12
A = 51
To check substitute the x..
A + B = 180
3(13) + 12 + 7(13) + 38 = 180
51 + 129 = 180
180 = 180
Hey there!
This is an example of conditional probability, or P(A | B). Let's say that the probability of a child eating cake is event A, and the probability of them eating cookies is event B.
Conditional probability (A, given that B has occurred) can be represented and found by the following equation:
P(A | B) = P(A ∩ <span>B)/P(B)
</span>P(A ∩ B) is the probability of a child eating both cake and a cookie. This is also the middle of the venn diagram you were given. P(B) is simply the probability of event B happening, which, as we established, is eating a cookie. <span>
</span>P(A | B) = P(A ∩ B) / P(B)
P(A | B) = 0.1 / 0.5
P(A | B) = 0.2
There will be a 0.2, or 20%, chance that a child will eat cake, given that they've eaten a cookie.
Sorry for the late response, but I hope this still helped you out!
Answer:
Length of the arc LM = 15.7 cm
Step-by-step explanation:
To determine the length of the arc LM we have to find the circumference of the the big circle then divide by the ratio of the angle or go straight to use the radians as the angle and look for the length.
Radius= 30cm
π= 3.142
Value of the angle is in radians
360° = 2π
π = 180
π/6 = 180/6
π/6= 30
Value of the angle is 30°
Length of the arc = 2πr * 30/360
Length of the arc = 2πr/12
Length of the arc = πr/6
Length of the arc = 30π/6
Length of the arc =5π
Length of the arc = 5*3.142
Length of the arc = 15.71
Approximately Length of the arc
= 15.7cm
Answer:
(3.5,17)
Step-by-step explanation:
The exponential function begins to exceed the quadratic function at the point of intersection of the two graphs,
We can see from the graph that, the two curves met in the first quadrant.
This is where f(x)=g(x).
Reading from the graph, this point is (3.5,17)
The second choice is correct
3 tons would be greater than 3,000 pounds
1 ton= 2,000 pounds
3 tons=6,000 pounds
