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sergey [27]
3 years ago
7

Ms.Santiago has many pens in her desk drawer. She says that if you divide the total number of pens by 1 2 3 4 5 or 6 you get a r

emainder of 1 what is the least number of pens that could be in her drawer
Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Answer: No number divided by 1 leaves a remainder of 1

since every number divides evenly by 1

divided by 2 leaving a remainder of 1:

1 , 3, 5, 7, 9, .... all odd numbers

divided by 3 leaving a remainder of 1:

1, 4, 7, 10, 13, 16, .....61 ....

divided by 4 leaves a remainder of 1:

1 , 5, 9, 13, 17, 21, ....61 ....

divided by 5 leaves a remainder of 1:

1, 6, 11, 16, 21, 26, 31, .... 61 ....

divided by 6 leaves a remainder of 1:

1, 7, 13, 19, ..... . 61 ....

looks like 61 , except the division by 1 part.

OR  

LCM of 2,3,4,5 is 60

to have remainder of 1 for all

60 + 1 = 61


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Two jars of sweets have the same amount of sweets inside.
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4 sweets are orange in jar B

Step-by-step explanation:

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2 years ago
Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years o
Alik [6]

Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

<em>H₀</em>: Age of a young adult and movie preference are independent.

<em>Hₐ</em>: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the table below.

The formula to compute the expected frequencies is:

E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}

The Chi-square test statistic value is:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

   = (3 - 1)(3 - 1)

   = 2 × 2

   = 4

Compute the <em>p</em>-value as follows:

<em>p</em>-value = 0.6266

*Use a Chi square table.

As the <em>p-</em>value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

5 0
3 years ago
Quadrilateral EFGH was dilated by a factor of 3. What is FG F'G'
Nikolay [14]
The coordinates would be multiplied by 3, as the scale factor is 3, and it is a dilation, so we know the size increases.
7 0
3 years ago
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SSSSS [86.1K]
The answer would be 65°.
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8 0
3 years ago
8. Find m Using the parallelogram
Semmy [17]

Answer:

w = 80

Step-by-step explanation:

Common geometry math

7 0
3 years ago
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