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2 years ago

11

Suppose 40% of all college students have a computer at home and a sample of 100 is taken. what is the probability that more than

50 of those in the sample have a computer at home?

1 answer:

scoundrel [369]2 years ago

4 0

unlikely roughtly 40% have computers you cant make up for that other 10 percent

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LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (-100,0) and (

Gre4nikov [31]

Answer:

$\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1$

Step-by-step explanation:

center of the hyperbola is (0,0) = (h, k)

c = the distance form the center to either focal point = 100

$c^{2} =100^{2}=10000$

The differences from the receiver to the transmitters = 2a

2a = 180 miles

a = 180/2=90 miles

$a^2 =90^{2}= 8100$

$b^{2}= c^{2} - a^{2}$

$b^{2}= 100^{2}-90^{2}=1900$

$b^{2}=1900$

The standard form is

$\frac {(x-h)^{2}}{a^{2}}+\frac {(y-k)^{2}}{b^{2}}=1$

$\frac {(x-0)^{2}}{a^{2}}+\frac {(y-0)^{2}}{b^{2}}=1$

$\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1$

3 0

2 years ago

If the inflation rate doubles, does the percentage decrease in buying power also double? If not, is the new percentage decrease

Nadya [2.5K]

Answer: It doubles

Step-by-step explanation:

Inflation erodes the value of a currency thereby reducing the purchasing power that customers have as they will only be able to buy less gods and services for the same amount as before.

An increase in inflation is directly proportional to a decrease in purchasing power which means that if the inflation rate doubles, the decrease in purchasing power doubles as well.

For instance, if inflation is 10%, the value of a dollar becomes 0.9c. If Inflation doubles to 20%, the dollar goes to 0.8c. Meanwhile the purchasing power would have gone from $1 to 0.8c which would translate to a 20% decrease.

6 0

2 years ago

The volume of a cube is given by v=x^3 where x is the length of an edge find the rate at which the volume is changing with respe

IceJOKER [234]

The volume (when x = 10) would be 1,000 cubic units (10^3).

3 0

2 years ago

The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev

Brilliant_brown [7]

Answer:

x = 20

x = 140

Step-by-step explanation:

Find the equation for profit P

P = R - C

Substitute the equations for R and C then simplify.

P = 100x − 0.5x² - (20x + 700)

P = -0.5x² + 80x - 700

Find the values of x when profit is $700

P = -0.5x² + 80x - 700

700 = -0.5x² + 80x - 700

0 = -0.5x² + 80x - 1400

This is in the standard form 0 = ax² + bx + c

Use the quadratic formula to find values of x

$x = \frac{-b±\sqrt{b^{2}-4ac} }{2a}$

(Ignore Â)

Substitute a b and c.

a = -0.5

b = 80

c = -1400

$x = \frac{-(80)±\sqrt{80^{2}-4(-0.5)(-1400)} }{2(-0.5)}$

$x = \frac{-80±60}{-1}$

Split the formula at the ± so that there are two to get the two x values.

$x = \frac{-80+60}{-1}$

$x = \frac{-80-60}{-1}$

x = 20

x = 140

The profit will be $700 when x is 20 or when x is 140.

5 0

2 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

steposvetlana [31]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=18/2=9\ ft$ ----> the radius is half the diameter

Remember that

$1\ ft=12\ in$

so

$6\ in=6/12=0.5\ ft$

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

$h=4.5-0.5=4\ ft$

assume

$\pi =3.14$

Find the volume of the water

$V=(3.14)(9^{2})(4)$

$V=1,017\ ft^3$

5 0

2 years ago