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pychu [463]
3 years ago
5

List 2 integers that are congruent to 4 modulo 14.

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

32, 46

Step-by-step explanation:

Remember, a is congruent to b modulo d if d divides a-b.

Now, the problem says that b=4 and d=14.

Let a=32. Observe that a-b=28 and \frac{28}{14}=2, then 32 is congruent to 4 modulo 14.

Let a=46. Observe that a-b=46-4=42 and \frac{42}{14}=3, then 46 is congruent to 4 modulo 14.

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Answer:

1/9 pint

or 2/9 cup

Step-by-step explanation:

This question is asking us to <em>divide </em>2/3 pint among 6 cans.

2/3 ÷ 6

2/3 × 1/6

 = 2/18

 = 1/9 pint or 2/9 cup additive

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3 years ago
How can ΔABC be mapped to ΔXYZ?
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Jordan jarred 18 liters of jam after 6 days. How many days does Jordan need to spend making jam if he wants to jar 27 liters of
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69420

Step-by-step explanation:

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8 0
4 years ago
Help please and simplify answer in radical form if needed
deff fn [24]

Answer:

16\sqrt{3}\:\mathrm{units^2}

Step-by-step explanation:

The area of an equilateral triangle with side length s is equal to \frac{\sqrt{3}}{4}s^2. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is 24\div 3=8 units.

Substituting in this value, we get:

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6 0
3 years ago
A production manager randomly sampled production lines at a factory that produces automobiles. She wanted to find out how many p
Elena-2011 [213]

Answer:

The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).

Step-by-step explanation:

A confidence interval for a population proportion is a function of the sample proportion and the margin of error.

The interval has two bounds, a lower bound and an upper bound.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this problem, we have that:

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The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).

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