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3 years ago

Help please and need to explain please thank you

Mathematics

1 answer:

vichka [17]3 years ago

7 0

Answer:

55 ft.

Step-by-step explanation:

First find the area of Lot X

67 • 70 = 4,690

Subtract the are of Lot X from the total area

8,375 - 4,690 = 3,685

3,685 is the area of Lot Y

Now divide 3,685 by the length of Lot Y : 67

3,685 ÷ 67 = 55

The width of Lot Y is 55 ft.

Hope this helps!

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Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordl

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Answer:

a) 0.0498

b) 0.1489

c) 0.1818

Step-by-step explanation:

Given:

Number of telephones = 6+6+6= 18

6 cellular, 6 cordless, and 6 corded.

a) Probability that all the cordless phones are among the first twelve to be serviced:

12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂

Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.

The possible ways of selecting thr remaining 6 telephones = ¹²C₆

Probability of servicing all cordless phones among the first twelve:

= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)

$= \frac{1 * 924}{18564}$

$= 0.0498$

b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:

Here,

One type must be serviced first

The 6 remaining to be serviced can be a combination of the remaining two types.

Since there a 3 ways to select one type to be serviced, the probability will be:

= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂

$= \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}$

$= \frac{2766}{18564}$

$= 0.1489$

c) probability that two phones of each type are among the first six:

(⁶C₂)³/¹⁸C₆

$\frac{3375}{18564}$

$=0.1818$

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3 years ago

I NEED HELP QUICK!

ivanzaharov [21]

<h2>Answers:</h2>

a. What properties do these shapes have in common?

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In other words,

<h2>what these three shapes have in common is that they are Parallelograms.</h2>

Hence, they have the same properties of a parallelogram, such as:

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3. Consecutive angles are supplementary (angles that add up to 180°)

Also the general properties of a quadrilateral:

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In this case we are going to talk about the differences between the Rectangle and the Rhombus, because the square is a special case of both.

Now, the differences between the Rectangle and the Rhombus are:

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