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3 years ago

2. What is gross income? What types of income are included in gross income?

Mathematics

1 answer:

gogolik [260]3 years ago

8 0

Gross income is all a persons receipts and gains from all sources before any deductions.

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A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas

WITCHER [35]

Answer:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

$P(A) = 0.8, P(B) = 0.2$

We are assuming that the two events are independent so then we have the following propert:

$P(A \cap B ) = P(A) * P(B)$

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

$P(B' \cup A')$

And using the De Morgan laws we know that:

$(A \cap B)' = A' \cup B'$

So then we can write the probability like this:

$P(B' \cup A') = P((A \cap B)')$

And using the complement rule we can do this:

$P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)$

Since A and B are independent we have:

$P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32$

And then our final answer would be:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

5 0

3 years ago

What is the x-intercept of the graph?

Umnica [9.8K]

Answer: (6,0)

Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.

So we have 2x - 3(0) = 12.

Simplifying from here, we have 2x = 12.

Now divide both sides by 2 and we get x = 6.

So our x-intercept is 6.

This means that our line crosses the x-axis 6

units to the right of the origin or at the point (6,0).

8 0

3 years ago

Read 2 more answers

What is the square root of 5 divided by the square root of 15 and simplify and in fraction form

ozzi

Answer:

$\sqrt{\frac{1}{3} }$

$\frac{\sqrt{3} }{3}$

Step-by-step explanation:

The expression $\frac{\sqrt{5} }{\sqrt{15} }$ can be simplified by first writing the fraction under one single radical instead of two.

$\frac{\sqrt{5} }{\sqrt{15} } = \sqrt{\frac{5}{15} }$

5/15 simplifies because both share the same factor 5.

It becomes $\sqrt{\frac{5}{15} } = \sqrt{\frac{1}{3} }$

This can simplify further by breaking apart the radical.

$\sqrt{\frac{1}{3} } = \frac{\sqrt{1} }{\sqrt{3} } = \frac{1}{\sqrt{3} }$

A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.

$\frac{1}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } =\frac{\sqrt{3} }{3}$

4 0

3 years ago

I Need help with this please it’s Algebra and it’s 6 days late

Gnom [1K]

1. (x+8)(x-5)
3. 15.2

5 0

3 years ago

Now, suppose one of the roots of the polynomial function is complex. The roots of the function are 2 + i, and 5. Write the equat

rjkz [21]

The other commentor is right. The correct answer is 2-i
The second follow-up question is the second option
f(x) = (x – (2 + i))(x – (2 – i))(x – 5)
The third follow-up question has these three answers.
9x^2
25x
25

5 0

3 years ago

Read 2 more answers