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worty [1.4K]
2 years ago
8

A pack of red pens can be divided into equal shares among 3, 5, 6 and 9 teachers with no pen left over?

Mathematics
1 answer:
Ugo [173]2 years ago
7 0

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

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9.5 divided by 14.25
expeople1 [14]

Answer:

\frac{19}{29}

Step-by-step explanation:

9.5 divided by 14.35 can also be writen as.....

\frac{9.5}{14.5} = \frac{19}{29}

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3 years ago
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A chef uses 3\frac{3}{4} pounds of semolina flour and 1\frac{5}{8} pounds of whole wheat flour for each batch of pasta she makes
Irina-Kira [14]

Answer:

huh ?

Step-by-step explanation:

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3 years ago
A manufacturer is concerned over the diameter of rubber balls being produced. Too large and they don’t work for certain applicat
UkoKoshka [18]

Answer:

c = 0.1864

Step-by-step explanation:

To find c, we need to find the z-score where:

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Based on the properties of the normal distribution we can said that

P(-z<Z<z) = 98% is equal to:

2*P(Z>z) = 2%    or  P(Z>z)= 1%

So, using the standard normal table, the z score is 2.33

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c=z*s

Where s is the standard deviation and z is the z-score. Replacing the values, we get:

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3 0
3 years ago
7. The lifetime of a certain brand of tires is approximately normally distributed, with a
Aleonysh [2.5K]

Answer:

0.0025551

Step-by-step explanation:

Given that:

Mean (m) = 40000

Standard deviation (s) = 2500

P(x < 33,000) :

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (33000 - 40000) / 2500 = - 2.8

p(Z < -2.8) = 0.0025551 ( Z probability calculator)

Probability of Tyre wagering out before mileage limit is reached = 0.0025551

7 0
2 years ago
Find endpoint with given endpoint and midpoint
TEA [102]

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

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and

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y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

3 0
3 years ago
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