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dimaraw [331]
4 years ago
12

11) At a certain company, an HR benefits meeting and shareholders meeting happen at the same time, so it is impossible for an em

ployee to be at both. If the probability that an employee goes to the HR benefits meeting is 0.33, and the probability that an employee goes to the shareholders meeting is 0.66, what is the probability that an employee
Mathematics
1 answer:
Airida [17]4 years ago
4 0

Answer:

0.99

Step-by-step explanation:

The computation of the probability for employee goes for shareholder meeting or HR benefits meeting is

= Probability of HR benefits meeting + Probability of shareholder meeting

= 0.33 + 0.66

= 0.99

We simply added the both meeting probability i.e HR benefits and shareholder meeting so that the given probability could come

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satela [25.4K]
Using the tangent rule:
 Tangent(angle) = Opposite leg /  Adjacent leg

We will use the 23 degree angle to solve for x.

Tangent(23) = X / 6

x = 6 * tangent(23)

x = 2.5
6 0
3 years ago
Your checking account balance is $225. You received a “bounced” check and your bank has charged you a penalty fee of $35. What p
Eduardwww [97]

Answer: 15.56%

Step-by-step explanation:

Given : Your checking account balance is $225.

i.e. Account balance= $225

You received a “bounced” check and your bank has charged you a penalty fee of $35.

i.e.Penalty fee= $35

Now, the percent of your balance the penalty cost :-

\dfrac{\text{Penalty fee}}{\text{Account balance}}\times100\\\\=\dfrac{35}{225}\times100=15.5555555556\approx15.56\%

Hence, the  penalty cost 15.56% of your balance .

4 0
3 years ago
the cost to buy a sweater at sweaterfactory.com is 19 with free shipping i have 50 dollars creat an inequality to represent how
pychu [463]

Answer:

34

Step-by-step explanation:

5 0
3 years ago
Please help me with this
kondor19780726 [428]

9514 1404 393

Answer:

  Vertex: (-1, 4)

  Maximum: f(-1) = 4

  Increasing: (-∞, -1)

  Decreasing: (-1, ∞)

Step-by-step explanation:

The equation can be written in vertex form by "completing the square."

First factor out the leading coefficient from the x-terms.

  f(x) = -(x² +2x) +3

Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.

  f(x) = -(x² +2x +1) +3 +1

Write in vertex form.

  f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k

You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.

The function will be increasing to the left of the maximum, decreasing to its right.

__

Vertex: (-1, 4)

Maximum: f(-1) = 4

Increasing: (-∞, -1)

Decreasing: (-1, ∞)

Graph: see attached

4 0
3 years ago
How to solve for first derivative?? I have two questions, one where I have the answer, however one where I don’t. The format of
rjkz [21]

Answer:

Q1: f'(x) = (-6x^8 + 2x^4 + 4)(48x^7) + (6x^8)(-48x^7 + 8x^3)

Q2: f'(x) = (6x^4)(18x^2 - 54x^8) + (6x^3 - 6x^9 + 3)(24x^3)

Step-by-step explanation:

The derivative of the product of two functions is:

f(x) = v(x)u(x)

f'(x) = v(x)u'(x) + u(x)v'x)

The derivative is the product of the first function and the derivative of the second function added to the product of the second function and the derivative of the first function.

Q1: The function you are given is:

f(x) = 6x^8(-6x^8 + 2x^4 + 4)

You can think of that function as the product of functions

u(x) = 6x^8 and v(x) = -6x^8 + 2x^4 + 4

We first find the derivatives of functions u and v:

u'(x) = 48x^7 and v'(x) = -48x^7 + 8x^3

Now we follow the rule above:

f'(x) = v(x)u'(x) + u(x)v'x)

f'(x) = (6x^8)(-48x^7 + 8x^3) + (-6x^8 + 2x^4 + 4)(48x^7)

Use the commutative property to change the order of the sum.

f'(x) = (-6x^8 + 2x^4 + 4)(48x^7) + (6x^8)(-48x^7 + 8x^3)

This is the solution you have.

Q2: The function you are given is:

f(x) = 6x^4(6x^3 - 6x^9 + 3)

You can think of that function as the product of functions

u(x) = 6x^4 and v(x) = 6x^3 - 6x^9 + 3

We first find the derivatives of functions u and v:

u'(x) = 24x^3 and v'(x) = 18x^2 - 54x^8

Now we follow the rule above:

f'(x) = v(x)u'(x) + u(x)v'x)

f'(x) = (6x^4)(18x^2 - 54x^8) + (6x^3 - 6x^9 + 3)(24x^3)

5 0
3 years ago
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