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NARA [144]
2 years ago
14

A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete ha

ts did the tailor make?
Mathematics
1 answer:
vfiekz [6]2 years ago
6 0

Answer: The tailor made 8 complete hats

Step-by-step explanation:

Amount of fabrics available to make hat = 6 2/3 yards

1 hat requires = 5/6 yards

Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat

=(6 2/3) / (5/6)

(20/3) / (5/6)

20/3 x 6/5 = cancelling out, we are left with

4x2= 8 hats

or

(20/3) / (5/6)

6.6666 /0.83333

= 8.00002= 8 hats

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For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maxim
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To determine the maximum and minimum temperatures at which nitrogen remains a liquid, use the equation |x - (-333.32)| = 12.78, where x is equal to the maximum and minimum temperatures. Using this equation, the maximum temperature is -320.54 degrees Fahrenheit while the minimum is -346.10 degrees Fahrenheit.
3 0
2 years ago
Read 2 more answers
EFGH is a parallelogram. Find the measure of EG.
gayaneshka [121]

Answer: 64

Step-by-step explanation:

If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.

EJ = JG

4w + 4 = 2w + 18

Subtract 2w from both sides

2w + 4 = 18

Subtract 4 from both sides

2w = 14

Divide both sides by 2

w = 7

EG = EJ + JG

EG = 4w + 4 + 2w + 18

EG = 6w + 22

Now that we know what 'w' is, we can substitute it for 7

EG = 6 (7) + 22

EG = 42 + 22 = 64

The measure of EG is 64.

Hope that helped!

7 0
3 years ago
A company rents out 19 food booths and 26 game booths at the county fair. The fee for a food booth is
rewona [7]

Answer:$4669

Step-by-step explanation:

175x19=3325+5(4)=3345

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5 0
2 years ago
Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np greater than or
vagabundo [1.1K]

Answer:

The minimum sample size needed for use of the normal approximation is 50.

Step-by-step explanation:

Suitability of the normal distribution:

In a binomial distribution with parameters n and p, the normal approximation is suitable is:

np >= 5

n(1-p) >= 5

In this question, we have that:

p = 0.9

Since p > 0.5, it means that np > n(1-p). So we have that:

n(1-p) \geq 5

n(1 - 0.9) \geq 5

0.1n \geq 5

n \geq \frac{5}{0.1}

n \geq 50

The minimum sample size needed for use of the normal approximation is 50.

6 0
2 years ago
When you divide the number of permutations of 11 objects taken 3 at a time by​ 3!, you will get the number of combinations of 11
Sloan [31]

Answer:

Yes

Step-by-step explanation:

Permutation :

nPr = n! ÷ (n - r)!

nCr = n! ÷ (n-r)!r!

11 objects taken 3 at a time :

11P3 = 11! ÷ (11 - 3)!

11P3 = 11! / 8!

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Dividing by 3!

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For combination :

11C3 = 11! ÷ 8!3!

11C3 = (11 * 10 * 9) / (3 * 2 * 1)

11C3 = 990 / 6

11C3

4 0
2 years ago
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