The value of the probability is 3/14
<h3>How to solve the probability?</h3>
The given parameters are:
P(A) = 4/7
P(B | A) = 3/8
The probability of events A and B occurring is calculated using:
P(A and B) = P(B | A) * P(A)
So, we have:
P(A and B) = 3/8 * 4/7
Evaluate the product
P(A and B) = 3/14
Hence, the value of the probability is 3/14
Read more about probability at:
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Answer:
First, we can write:
x
=
3
.
¯¯¯¯
24
Next, we can multiply each side by
100
giving:
100
x
=
324
.
¯¯¯¯
24
Then we can subtract each side of the first equation from each side of the second equation giving:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can now solve for
x
as follows:
100
x
−
1
x
=
(
324
+
0
.
¯¯¯¯
24
)
−
(
3
+
0
.
¯¯¯¯
24
)
(
100
−
1
)
x
=
324
+
0
.
¯¯¯¯
24
−
3
−
0
.
¯¯¯¯
24
99
x
=
(
324
−
3
)
+
(
0
.
¯¯¯¯
24
−
0
.
¯¯¯¯
24
)
99
x
=
321
+
0
99
x
=
321
99
x
99
=
321
99
99
x
99
=
3
×
107
3
×
33
x
=
3
×
107
3
×
33
x
=
107
33
Now, we can convert this improper fraction to a mixed number:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
24
=
3
8
33
9514 1404 393
Answer:
log4(2) = 0.5000
Step-by-step explanation:
You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...
2 = 6/3
Taking logs base 4, you have ...
log4(2) = log4(6/3) = log4(6) -log4(3)
log4(2) = 1.2925 -0.7925
log4(2) = 0.5000
__
<em>Additional comment</em>
This is consistent with your knowledge of factors of 4:
√4 = 4^(1/2) = 2
log4(2) = 1/2
__
Here, we're using "log4" to mean the base-4 logarithm.
Answer:
Step-by-step explanation:
x + y = 27
We know that there are 5 less girls that boys, so:
x + (x-5) = 27
x + x - 5 = 27
Solve for x:
2x - 5 = 27
2x = 32
x = 16 boys
y = 11 girls
tell me if you see anything wrong
Answer:
26
Step-by-step explanation:
We know that the entire angle measures 66 degrees.
Therefore, angle y plus 40 degrees must equal 66.
In an equation:
To solve for y, subtract 40 from both sides:
So, the measure of angle y is 26 degrees.
And we're done!
