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Daniel [21]
2 years ago
8

The smaller the absolute value of a negative number, the larger, smaller or farther from zero the number is ???

Mathematics
1 answer:
Mama L [17]2 years ago
6 0
It doesn't matter. It's the same distance from zero
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An airline knows that on average about 5 percent of the people who make reservations on a certain flight will not show up. Conse
kolbaska11 [484]

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

8 0
3 years ago
A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density
saveliy_v [14]

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

6 0
3 years ago
A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if th
My name is Ann [436]

Answer:

C. x\geq 55000

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:

700+(\frac{2}{100})x\geq 1800

700+0.02x\geq 1800

Let us solve our inequality to find the monthly sales (x).

Subtract 700 from both sides of our inequality.

700-700+0.02x\geq 1800-700

0.02x\geq 1100

Divide both sides of inequality by 0.02.

\frac{0.02x}{0.02}\geq \frac{1100}{0.02}

x\geq \frac{1100}{0.02}

x\geq 55000

Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.



5 0
3 years ago
Show that the equation 2x + 3 cos x + e ^ x = 0 has a root on the interval [- 1, 0]
ExtremeBDS [4]

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.

5 0
3 years ago
3x^2 + 6 - 2x + 5x - 4x^2 + 9
Over [174]
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?
4 0
3 years ago
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