Answer:
Probability that there will be a seat available for every passenger who shows up is 50/50 or 49/50
Step-by-step explanation:
Since it is known that 5percent of people who make reservations would not show up.
Therefore 5% of 52 sold ticket is
5/100 x 52 = 2.6
That is 2 or 3 people who make reservations would not show up.
Which means 52 - 2 or 52 - 3 people would show up
50 or 49 people would show up
Since the flight can hold just 50 people
The probability that everyone that shows up would have a seat is therefore =
50/ 50 or 49/50
Answer:
172.83 kg
Step-by-step explanation:
A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.
The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:
Density = Mass / volume
The volume of a cylinder is given as:
V = πr²h
V = π × (0.3)² × 0.75 = 0.212 m³
Density = Mass/ volume
Mass = Density × Volume
Mass = 815 kg/m³ × 0.212 m³
Mass = 172.83 kg
Answer:
C. 
Step-by-step explanation:
Let x be the total monthly sales.
We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.
This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:


Let us solve our inequality to find the monthly sales (x).
Subtract 700 from both sides of our inequality.

Divide both sides of inequality by 0.02.



Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.
If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
3x * 3x = 9x
9x + 6 - 2x + 5x - 4x^2 + 9
9x + 6 - 7x - 4x * 4x + 9
9x + 6 - 7x - 16x + 9
9x + -7x = 2x + 6 - 16x + 9
2x + 6 - 16x + 9
2x + (-3) - 16x
-14x + (-3) is the expression?