If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.
<h3>Which pair of events are called independent events?</h3>
When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
P(A ∩ B) = P(A)P(B)
Comparing it with chain rule will give
P(A|B) = P(A)
P(B|A) = P(B)
Suppose A and B are dependent events.
If P(A) = 0.5
Then P(A|B) will be
P(A|B) = P(A)
P(A|B) = 0.5
Then the correct option is B.
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Answer:
0.706
Step-by-step explanation:
Convert 12/17 to decimal by dividing the numerator by denominator.
12 ÷ 17 = 0.70588.......
The nearest thousandth is the third decimal place.
If we round up: 0.706
If we round down: 0.705
Because the fourth digit is "8", we round up.
If the digit after the one you want to round to is 5 or greater, then you round up. If the digit after is 4 or less, round down..
12 ÷ 17 = 0.70588....... ≈ 0.706
Her average speed in miles per hour would be 53 mph. You can get this by dividing the miles driven and the time. This means Jennifer drove 53 mph to get to her parent's house. Hope this helps!
Answer:
Hope it helps u
Step-by-step explanation:
As we know that ,
Mean = sum of the terms/ numbers of terms
But here grouped data is given so , we use the formula
Mean=∑[f. m]/ ∑f
where f is frequency and m is mid point of each height ,
Now first we have to find the mid point of each interval, where
midpoint of each interval = (lower boundary + upper boundary)/2
m1=(150+154)/2 = 152
m2=(155+159)/2= 157,now found other by same formula, for each interval
m3= 162
m4= 167
m5=172 Now we find the midpoint of each interval ,so now
∑[f. m]=f1*m1+f2*m2+f3*m3+f4*m4+f5*m5
now putting the values of each frequency for given interval and midpoint of each interval we will get,
∑[f. m]=456+942+1296+167*x+344 = 167*x+3038
Now find,
∑f=f1+f2+f3+f4+f5
∑f=19+x
Now we have,
∑[f. m]=167*x+3038
∑f=19+x
also given mean height=161.6 cm
putt these values in above equation we get,
161.6=
now solve this ,
161.6(19+x)=167*x+3038
3070.4+161.6*x=167*x+3038
3070.4-3038=167*x-161.6*x
32.4=5.4*x
x=32.4/5.4
<h2>
x=6 Ans........</h2>
Answer:
see explanation
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY = ∠ YXZ , thus
7x - 7 = 5x + 3 ( subtract 5x from both sides )
2x - 7 = 3 ( add 7 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
(b)
∠ WXY = 7x - 7 = 7(5) - 7 = 35 - 7 = 28°
(c)
∠ YXZ = 5x + 3 = 5(5) + 3 = 25 + 3 = 28°
(d)
∠ WXZ = ∠ WXY + ∠ YXZ = 28° + 28° = 56°