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son4ous [18]
3 years ago
14

A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. the store p

acks the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. if the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Mathematics
1 answer:
vovangra [49]3 years ago
3 0
The answer is: 16
Explanation:
Notepads of the same color = 4 (we have 4 colors). As we have two sizes then total for the same color=4*2=8Notepads of the different colors = 4C3=4 (we should choose 3 different colors out of 4). As we have two sizes then total for the different color=4*2=8Total=8+8=16
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It is not possible to divide 5 by 0 because there is no number you can___ by 0 and get 5 .
elixir [45]

Answer:

multiply

Step-by-step explanation:

5 0
2 years ago
Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30
sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0
1 year ago
Combine the like terms to create an equivalent expression: −7−4p−(−5)
Sloan [31]

Answer:

the answer is -4p-2

8 0
3 years ago
9 1/2 divided by 3 7/10
OleMash [197]

Solution:

<u>Convert the fractions into improper fractions and solve.</u>

  • 9 1/2 ÷ 3 7/10
  • => 19/2 ÷ 37/10
  • => 19/2 x 10/37
  • => 19 x 5/37
  • => 95/37

<u>Convert the fraction into mixed fraction (Not required):</u>

  • => 95/37 = 37/37 + 37/37 + 21/37
  • => 1 + 1 + 21/37
  • => 2 + 21/37
  • => 2 21/37

The solution to the problem is 2 21/37.

8 0
2 years ago
Read 2 more answers
a random sample of 510 high school students has a normal distribution. The sample mean average ACT exam score was 21 with a 3.2
34kurt

Answer:

CI = 21 ± 0.365

Step-by-step explanation:

The confidence interval is:

CI = x ± SE * CV

where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).

Here, x = 21.

The standard error for a sample mean is:

SE = σ / √n

SE = 3.2 / √510

SE = 0.142

The critical value is looked up in a table or found with a calculator.  But first, we must find the alpha level and the critical probability.

α = 1 - 0.99 = 0.01

p* = 1 - (α/2) = 1 - (0.01/2) = 0.995

Using a calculator or a z-score table:

P(x<z) = 0.995

z = 2.576

Therefore:

CI = 21 ± 0.142 × 2.576

CI = 21 ± 0.365

Round as needed.

8 0
3 years ago
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