Answer:
Step-by-step explanation:
Twice the serving of mashed potatoes is 2 x 10 = 20
If y is the number then y < 20
Each person will receive 1/25 of a pot of coffee.
To find this you divide the fraction 1/5 by 5. When dividing a fraction by a whole number, you put the whole number over 1, flip the numerator and denominator (making it the inverse), then multiply the 2 fractions. So, instead of 1/5 divided by 5, you now have 1/5 times 1/5. Multiply straight across, 1 times 1 is one, and 5 times 5 is 25. Thus making the fraction 1/25.
I hope this helps!
Answer:
a. 4.05 b. 3.84 c. 1.2475 and 1.1344 d. 1.1169 and 1.0651 e. We can say that the overall job satistaction of senior executives and middle managers is about 4; however, there is more variability in the job satisfaction for senior executives than in the job satisfaction for middle managers.
Step-by-step explanation:
a. (1)(0.05)+(2)(0.09)+(3)(0.03)+(4)(0.42)+(5)(0.41) = 4.05
b. (1)(0.04)+(2)(0.1)+(3)(0.12)+(4)(0.46)+(5)(0.28) = 3.84
c. We compute the variances as follow: ![[(1)^2(0.05)+(2)^2(0.09)+(3)^2(0.03)+(4)^2(0.42)+(5)^2(0.41)] - 4.05^2](https://tex.z-dn.net/?f=%5B%281%29%5E2%280.05%29%2B%282%29%5E2%280.09%29%2B%283%29%5E2%280.03%29%2B%284%29%5E2%280.42%29%2B%285%29%5E2%280.41%29%5D%20-%204.05%5E2)
= 1.2475 and ![[(1)^2(0.04)+(2)^2(0.1)+(3)^2(0.12)+(4)^2(0.46)+(5)^2(0.28)]-3.84^2](https://tex.z-dn.net/?f=%5B%281%29%5E2%280.04%29%2B%282%29%5E2%280.1%29%2B%283%29%5E2%280.12%29%2B%284%29%5E2%280.46%29%2B%285%29%5E2%280.28%29%5D-3.84%5E2)
= 1.1344
d. The standard deviation is the squared root of the variance, therefore, we have 
and 
e. The expected value of the job satisfaction score for senior executives is very similar to the job satisfaction score for middle managers. We can say that the overall job satistaction of senior executives and middle managers is about 4; however, there is more variability in the job satisfaction for senior executives than in the job satisfaction for middle managers.
Firstly, you need to combine like terms within that side of the equation.
Take -3x +9x and you’ll get 6x.
Next, combine like terms on the other side of the equation.
Take -5-1 and you’ll get -6
So far you should have:
6x+2=4x-6
Subtract 4x on each side!! Cancel 4x-4x! Solve 6x-4x!
Now you’ll get:
2x+2=-6
Subtract 2 on each side!!
Cancel out 2-2 and solve -6-2.
You should get:
2x=-8
Lastly, divide 2 on each side.
Cancel out 2/2 and solve 8/2.
Your final answer should be:
X = -4
Answer:
x ≥ 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define inequality</u>
-4(8 - 3x) ≥ 6x - 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -4: -32 + 12x ≥ 6x - 8
- Subtract 6x on both sides: -32 + 6x ≥ -8
- Add 32 on both sides: 6x ≥ 24
- Divide 6 on both sides: x ≥ 4
Here we see that <em>x</em> can be any value greater than or equal to 4.
