A survey shows that the probability that an employee gets placed in a suitable job is 0.65. A psychometric test consultant claims that he could help place any employee in a suitable job based on the result of a psychometric test. The test has an accuracy rate of 70%. An employee working in a particular company takes the test. The probability that the employee is in the right job and the test predicts that he is in the wrong job is ______. The probability that the employee is in the wrong job and the test predicts that he is in the right job is _______.

Answer:

Step-by-step explanation:

The distributive says that:

To find the product of :

then;

Using distributive property we have;

Combine like terms;

Therefore, the product of is,

The product of (2x - 1)(x + 4) is .

Here, we have,

To find the product (2x - 1)(x + 4), we need to use the distributive property to multiply each term in the first expression (2x - 1) by each term in the second expression (x + 4).

Using the FOIL method (First, Outer, Inner, Last), we multiply the corresponding terms:

(First terms)

(2x) * (4) = 8x (Outer terms)

(-1) * (x) = -x (Inner terms)

(-1) * (4) = -4 (Last terms)

Now, we combine the products:

Simplifying further:

So, the product of (2x - 1)(x + 4) is .

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complete question:

What is the product? (2x – 1)(x + 4)=?

Answer:

$65 ≤ x ≤ $135

Step-by-step explanation:

Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.

Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.

Notice that in the given sign

≤

the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥

The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to

if this is written

x ≤ 3

It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.

Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,

So one inequality is

$65 ≤ x

The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is

x ≤ $135

Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.