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Mathematics

1 answer:

Komok [63]3 years ago

8 0

9514 1404 393

Answer:

49π units^2

Step-by-step explanation:

The area is given by the formula ...

A = πr^2 . . . . . . where r is half the diameter.

For the given circle, the area is ...

A = π(14/2)^2 = 49π . . . . square units

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Distributive property of-(16-5×)

Anarel [89]

Distribute the negative to the 16 and into the -5
-16+5x

6 0

3 years ago

A bag contains purple marbles and white marbles, 96 in total. The number of purple marbles is 6 less than 5 times the number of

love history [14]

<em /><em>PURPLE MARBLES=P
WHITE MARBLES=W

</em>First, write out an equation showing the number of purple marbles.
P=5W-6
Then, write out the main equation.
W+P=96
W+5W-6=96
Add 6 to both sides.
W+5W=102
6W=102
Divide both sides by 6
W=17
Now that we know there are 17 white marbles, we can go back to the equation about how many purple marbles there are.
P=5W-6
Plug in the value for W, which is 17.
P=5(17)-6
P=85-6
P=79

To make sure your answer is correct, check your work by plugging in the values for P+W=96.
79+17=96
Answer: There are 79 purple marbles.

8 0

3 years ago

A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, becau

Serga [27]

Answer:

0.0159

Step-by-step explanation:

Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight.

Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)

The plane is overbooked if more than 150 show up

i.e. less than 2 do not show up

Hence the probability that the airline overbooked this flight

= $P(X$