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Tju [1.3M]
3 years ago
12

Need help plz !!!!!!! Due today

Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

I know a little of this

Step-by-step explanation:

ok so what you do is for example take both of the small equation with the same variable and equal them to each other then plug in to the other

ex. 7x-31 =5x-8 solve this the plug what you get into the y in equation 4(y) +27

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A tour operator has a bus that can accommodate 20 tourists. The operator knows that tourists may not show up, so he sells 21 tic
dalvyx [7]

Answer:

The expected revenue of the tour operator is 985.

Step-by-step explanation:

There are two outcomes:

Either less than 21 tourists show up and the operator does not have to pay anything. Or 21 tourists show up and the operator has to repay 100.

Anyways, initially he gets the price of all the tickets sold. That is 21 each at 50, so R = 21*50 = 1050.

Then, we need to find the probability that all of the 21 tourists show up. In this case, we have to subtract 100 from the revenue.

Each tourist has a 0.02 probability of not showing up. This means that each has a 1-0.02 = 0.98 probability of showing up. So the probability P that all 21 tourists show up is P = (0.98)^{21} = 0.6542.

So, the expected revenue of the tour operator is

R = 1050 - 100P = 1050 - 100(0.6542) = 984.58

Rounded up, the expected revenue of the tour operator is 985.

6 0
3 years ago
A moving sidewalk at an airport glides a rate of 1.8 feet per second. Walking on the moving sidewalk, you travel 100 feet forwar
uranmaximum [27]

Answer: The walking speed is 4.2 feet per second.

Step-by-step explanation:

If your walking speed is S, then we can use the relation:

Time = distance/speed.

in the moving sidewalk the speed is S + 1.8ft/s.

moving forward:

speed = S + 1.8ft/s

Distance = 100 feet

Time = T

T = 100ft/(S + 1.8ft/s)

moving in the opposite direction (now the velocity of the moving sidewalk must be subtracted)

speed = S - 1.8ft/s

distance = 40 feet

time = T

T = 40ft/(S - 1.8ft/s)

Then we have two equations:

T = 100ft/(S + 1.8ft/s)

T = 40ft/(S - 1.8ft/s)

We can replace T in the second equation by the expression in the first one:

100ft/(S + 1.8ft/s) =  40ft/(S - 1.8ft/s)

now we can solve it for S.

100ft*(S - 1.8ft/s) = 40ft*(S + 1.8ft/s)

100ft*S - (100ft*1.8ft/s) = 40ft*S + (40ft*1.8ft/s)

100ft*S - 40ft*S = (100ft*1.8ft/s)+ (40ft*1.8ft/s)

S*(100ft - 40ft) = S*60ft = (100ft*1.8ft/s)+ (40ft*1.8ft/s)

S = ( (100ft*1.8ft/s)+ (40ft*1.8ft/s) )/60ft = (252ft^2/s)/60ft = 4.2 ft/s

The walking speed is 4.2 feet per second.

6 0
3 years ago
Someone please help me out here
pav-90 [236]

Answer:

Click the 'x' on the top of the tab

Step-by-step explanation:

Move your coursor to the 'x' and click.

4 0
3 years ago
Choose the inequality AND the number line that represents this phase.
MariettaO [177]

Step-by-step explanation:

I think the 2nd one is the correct

8 0
3 years ago
A hot air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously m
san4es73 [151]

Answer:

h=1.99 miles

Step-by-step explanation:

Let's call h the balloon's height above the ground and b the horizontal distance between the balloon and the first milepost.

If the angle of the depression of this milepost is 24 degrees, we can say the following:

tan(24)=\frac{h}{b}

<em>b=\frac{h}{tan(24)}(equation 1)</em>

For the next milepost, the horizontal distance between the balloon and tihs milepost will be (b+1)miles and the angle of depression will be 20 degrees, so we can say the following

tan(20)=\frac{h}{b+1}

b+1=\frac{h}{tan(20)}

b=\frac{h}{tan20}-1

then, replacing from <em>equation 1</em>

\frac{h}{tan(24)} =\frac{h}{tan(20)}-1

1 =\frac{h}{tan(20)}-\frac{h}{tan(24)}

1 =h*(\frac{1}{tan(20)}-\frac{1}{tan(24)})

h=\frac{1}{(\frac{1}{tan(20)}-\frac{1}{tan(24)})}

Resolving, we'll find the value of h

h=1.99 miles

So, the balloon's height above the ground is 1.99miles

4 0
4 years ago
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