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notsponge [240]
3 years ago
10

The mean number of hours that employees of a large corporation work in a week is 41 hours with a standard deviation of 2.78. Wha

t percentage of the employees work more than 45 hours in a week? Assume that this is a normal distribution.
Show all the work required for this problem (curve, formula, substitution, etc.)
Mathematics
1 answer:
erastova [34]3 years ago
5 0

Answer:

Step-by-step explanation:

0

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Find all x and y intercepts of the graph of the function f(x)= 2x^3+6x^2-2x-6
topjm [15]

9514 1404 393

Answer:

  • y-intercept: (0, -6)
  • x-intercepts: (-3, 0), (-1, 0), (1, 0)

Step-by-step explanation:

We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.

  f(x) = (2x^3 +6x^2) -(2x +6)

  f(x) = 2x^2(x +3) -2(x +3)

  f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)

The factors are made to be zero when x is 1, -1, or -3.

The x-intercepts are (1, 0), (-1, 0), (-3, 0).

The y-intercept is the constant, -6.

4 0
3 years ago
Simplify.<br><br> 16 - 8 + 5x - 3x<br><br> 16 + 2x<br> 8 + 8x<br> 8 + 2x<br> 10x
klio [65]

Answer:

8+2x

Step-by-step explanation:

Combine Like Terms:

<u>1</u><u>6</u><u>-</u><u>8</u>+5x-3x

8+<u>5</u><u>x</u><u>-</u><u>3</u><u>x</u>

8+2x

3 0
3 years ago
Read 2 more answers
There are four $20 bills, five $10 bills, seven $5 bills, and four $1 bills in your wallet. You select one bill at random. What
coldgirl [10]
The expected value is to get either a $5 bill or a $10 bill because of it has more of it's kind in the wallet.
5 0
3 years ago
What is the slope of the line represented by the equation y = x – 3?
lyudmila [28]
<span>What is the slope of the line represented by the equation?
</span>C. 4/5
5 0
3 years ago
Read 2 more answers
Square root of 192 simplified
Sonja [21]
You must factoring the number 192, you will get 192=2^6*3, so you have square root(2^6*3)=2^(6/2)*root(3) applying enhancing property.
Solve the exponent and you get =2^3*root(3)= 8*root(3)
8 0
3 years ago
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