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3 years ago

5. L

Mathematics

1 answer:

Hatshy [7]3 years ago

8 0

Tisha have 72 books in all.

Step-by-step explanation:

Given,

Number of shelving units = 2

One shelving unit has 3 shelves.

2 shelving units will have = 3*2 = 6 shelves

Books hold by each shelf = 12 books

Books hold by 6 shelves = 12*6 = 72 books

As the shelves are filled with books, therefore,

Tisha have 72 books in all.

Keywords: multiplication

Learn more about multiplication at:

#LearnwithBrainly

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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

Mary can paint a house by herself in 12 hours. john can paint a house by himself in 16 hours. how long would it take them to pai

QveST [7]

1/12+1/16=1/n
4/48+3/48=1/n
7/48=1/n
48=7n
n=48/7 hours to paint the house if they worked together
☺☺☺☺

5 0

3 years ago

Subtract 7x^2−5xy+8y2 from −2x^2−15xy+9y^2

Digiron [165]

Answer

Subtract $7x^2 -5xy+8y^2$ from $-2x^2 -15xy+9y^2$

then;

$-2x^2 -15xy+9y^2 - (7x^2 -5xy+8y^2)$

Remove the bracket we have;

$-2x^2 -15xy+9y^2 - 7x^2 + 5xy - 8y^2$

Like terms are those terms which have same variable to the same power.

Combine like terms;

$-9x^2 -10xy+y^2$

Therefore, Subtracting $7x^2 -5xy+8y^2$ from $-2x^2 -15xy+9y^2$ we get $-9x^2 -10xy+y^2$

7 0

3 years ago

The length of a side of a cube can be determined

seraphim [82]

Answer:

Side of cube = 4 cm

Step-by-step explanation:

Given:

Volume of cube = 64 cm³

Find:

Side of cube

Computation:

Volume of cube = side³

64 = side³

Side of cube = 4 cm

8 0

3 years ago

An expression is given.

Katyanochek1 [597]

9514 1404 393

Answer:

Step-by-step explanation:

Maybe you want to evaluate ...

16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

16 -14÷2 +5²

Then the exponential term.

16 -14÷2 +25

The division is evaluated next.

16 -7 +25

Finally, the sum is evaluated.

= 9 +25

= 34

____

Your calculator can do this arithmetic for you.

5 0

3 years ago