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puteri [66]
2 years ago
11

A piece of tile is 4 1/2 inches long and 3 1/4 inches wide.

Mathematics
1 answer:
Ainat [17]2 years ago
3 0
4 1/2 = 4.5
3 1/4 = 3.25
4.5 x 3.25 = 14.625
14.625 = 14 5/8 or 117/8
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4. From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of
Degger [83]

Answer:

P=0.228

Step-by-step explanation:

We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.

Therefore, we have 34 people.

We calculate the number of possible combinations:

C^{34}_6=\frac{34!}{6!(34-6)!}=1344904\\

Of the 6 professors we choose 2, and of the other 28 people we choose 4.

We calculate the number of favorable combinations:

C_2^6\cdot C_4^{28}=\frac{6!}{2!(6-2)!}\cdot \frac{28!}{4!(28-4)!}=15\cdot 20475=307125\\

Therefore, the probability is:

P=\frac{307125}{1344904}=0.228

8 0
3 years ago
3. Write the standard equation of the circle with the given center that passes through the given
bearhunter [10]

Answer:

D is  correct.

Step-by-step explanation:

(x + 2)^2 + (y - 6)^2 = r^2

(-2+2)^2 + (10 - 6)^2 = r^2

r^2= (10 - 6)^2

r^2=16

5 0
3 years ago
2 2/5 multiplied by 2 multiplied by 3 1/5
goldfiish [28.3K]

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

​

×2×3

5

1

​

2 Simplify  2\times 52×5  to  1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

​

×2×3

5

1

​

3 Simplify  10+210+2  to  1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

​

×2×3

5

1

​

4 Convert 3\frac{1}{5}3

5

1

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

​

×2×

5

3×5+1

​

5 Simplify  3\times 53×5  to  1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

​

×2×

5

15+1

​

6 Simplify  15+115+1  to  1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

​

×2×

5

16

​

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

​

×

d

c

​

=

bd

ac

​

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

​

8 Simplify  12\times 212×2  to  2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

​

9 Simplify  24\times 1624×16  to  384384.

\frac{384}{5\times 5}

5×5

384

​

10 Simplify  5\times 55×5  to  2525.

\frac{384}{25}

25

384

​

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

​

8 0
2 years ago
Read 2 more answers
A triangle has sides with lengths of 7 feet 17 feet and 20 feet is it a right triangle?
natali 33 [55]

Answer:

This is not a right triangle because 7^2 + 17^2 does not equal 20^2

Step-by-step explanation:

6 0
2 years ago
The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?
kozerog [31]
B. if you do $140x18% it will equal $25.20
3 0
3 years ago
Read 2 more answers
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