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Vikentia [17]
3 years ago
7

Draw a bar model that shows a pen is 4 times as long as an eraser that is 1 1/3 inches long.

Mathematics
1 answer:
timurjin [86]3 years ago
4 0

Answer:

Since, the length of one eraser = 1\frac{1}{3}\text{ Inches}=\frac{4}{3}

Also, the length of one pen = 4 × the length of one eraser

\text{The length of one pen} = 4\times \frac{4}{3}

=\frac{16}{3}=5\frac{1}{3}\text{ inches}

Thus, the length of one pen is 16/3 inches.

Solution by the bar model :

Take 4 boxes representing the  1\frac{1}{3}\text{ inches},

Add the total value of the boxes

= 1\frac{1}{3}+1\frac{1}{3}+1\frac{1}{3}+1\frac{1}{3}

= 1 + \frac{1}{3}+1 + \frac{1}{3}+1 + \frac{1}{3}+1 + \frac{1}{3}

=4 + \frac{4}{3}

=4 + 1 + \frac{1}{3}

= 5 + \frac{1}{3}

=5\frac{1}{3}\text{ inches }

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ivanzaharov [21]

Answer:

Total = N(1) +N(2)+N(3) = 10+14+200 = 224 sequences

224 sequences would NOT be permitted.

Step-by-step explanation:

1) all four digits identical

Number of possible PIN with all four digits identical N(1) = 1×1×1×10 = 10 possible PIN

2) sequence of consecutive ascending or descending digits N(2) = 14

Only Ascending starting with 0,1,2 = 3

only descending for 7,8,9 = 3

and both for 3,4,5,6 = (2×4)

Total = 3+3+(2×4) = 14

3) any sequence starting with 19 or 20 (birth years

N(3) = 2 × 1×1×10×10 = 2×100 = 200

N(3) = 200

(Note : 100 possible ways for each of 19 or 20s)

Total = N(1) +N(2)+N(3) = 10+14+200 = 224

224 sequences would NOT be permitted.

7 0
3 years ago
A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p
Arisa [49]

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0
3 years ago
Using a protractor and a ruler, reflect points A and B across line PQ?
MA_775_DIABLO [31]

Answer:

shiii

Step-by-step explanation:

8 0
3 years ago
Write this as an equation, then solve.
ANTONII [103]
19.5 in difference 
difference indicates that you'll be subtracting so 29 3/4 - 10 1/4 = 19.5

3 0
3 years ago
Eight less than 1/3 a number n is -13
Goryan [66]
1/3n - 8 = -13 <== ur equation
1/3n = -13 + 8
1/3n = - 5
n = -5 * 3
n = -15

check..
1/3(-15) - 8 = -13
-5 - 8 = -13
-13 = -13 (correct)

so the number (n) = -15
3 0
3 years ago
Read 2 more answers
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