A diagram helps.

Diagonal TO divides the rectangle into two triangles of base 10 and height 4. The area of the two of them together (the area of the rectangle) is 10*4 = 40.

The area of rectangle TYOC is 40 square units.

8 0

2 years ago

According to a recent report, 60% of U.S. college graduates cannot find a full time job in their chosen profession. Assume 57% o

Novosadov [1.4K]

Answer:

The value is $P(Z''| M) = 0.4860$

Step-by-step explanation:

From the question we are told that

The proportion that can not find a full time job in their chosen profession is

$P(Z) = 0.60$

The proportion that can not find a full time job in their chosen profession who are female is $P(F|Z) = 0.57$

The proportion that can find a full time job in their chosen profession who are female is $P(F|Z'') = 0.39$

The proportion that cannot find a full time job in their chosen profession who are male is $P(M|Z) = 1 - 0.57 = 0.43$

The proportion that can find a full time job in their chosen profession who are male is $P(M|Z'') = 1- 0.39 = 0.61$

The proportion that can find a full time job in their chosen profession is

$P(Z'') = 1- 0.60 = 0.4$

Generally the probability that the college graduates is a male is mathematically evaluated using Bayes' Rule as follows

$P(M) = P(Z ) * P(MI Z) + P(Z'') * P(M|Z'')$

$P(M) = 0.6 * 0.43 + 0.4 * 0.61$

$P(M) = 0.502$

Generally the probability he can find a full time job in his chosen profession is mathematically evaluated using Bayes' Rule as follows

$P(Z''| M) = \frac{P(Z'') * P(M|Z'')}{P(M)}$

$P(Z''| M) = \frac{0.4 * 0.61}{0.502}$

$P(Z''| M) = 0.4860$

4 0

3 years ago