The last graph because the slope is 40.
Slope equals rise over run
Rise is 4/ Run is 1
4/1=4
Slope (rate of change)=4
Answer:
5,18,12 cms are the answer.
Step-by-step explanation:
Given is a triangle ABC. Point D is the centroid.
E,F and G are midpoints of CB, BA and AC respectively.
AE, BF and CG are medians of the triangle.
We know that centroid divides the median in the ratio 2:1
Using this we find that AD:DE = 2:1
Or AD+DE:DE = (2+1):1
AE:DE =3:1
15:DE = 3:1 . Hence DE =5 cm.
On the similar grounds we find that DF = 1/3 BF = 9
Hence BD = DF-BF = 27-9 =18 cm
and also
CG = 3/2 times CD = 12 cm.
Answer:
B) -1-6 x +15 = x - 15 +15
Step-by-step explanation:
<u>Explanation</u>:-
Given equation is –1 – 6 x = x – 15
<em>By addition property of equality </em>
<em> ⇒ - 1 - 6 x + 15 = x - 15 +15</em>
⇒ - 6 x + 14 = x
subtracting 'x' on both sides ,we get
⇒ - 6 x -x +14 =0
⇒ - 7 x +14 =0
⇒ -7 x = - 14
Dividing '-7' on both sides , we get
x = 2
<em>The solution of given equation is x = 2</em>
The events A and B are independent if the probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
This is true.
Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.</span>
Answer:
14. 125
15. 72
16. 60
Step-by-step explanation:
The formula for volume is L*W*H=V
Hopes this helps you!!