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Drupady [299]
3 years ago
14

The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression th

at represents the expected population next year. ​
Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Given:

Current population = x

The population of a city is expected to decrease by 6% next year.

To find:

The expression that represents the expected population next year. ​

Solution:

We have,

Current population = x

Decrease rate = 6%.

Expected population next year = Current population - 6% of Current population

                                                    =x-\dfrac{6}{100}x

                                                    =x-0.06x

                                                    =0.94x

Therefore, the expression for the expected population next year is 0.94x.

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anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072,  0 < Ф < 2 π,   tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

  Calculate hypotenuse

  c² = a² + b²

  c² = 1.072² + 1²

  c² = 2.149

  hypotenuse = c = 1.466

First quadrangle

  sin Ф = 1.072 / 1.466 = 0.731

  cos Ф = 1 / 1.466 = 0.682

Third quadrangle

  sin Ф = -1.072 / 1.466 = -0.731

  cos Ф = -1 / 1.466 = -0.682

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3 years ago
A seamstress has a piece of cloth that is 3 yards long. she cuts it into shorter lengths of 16 inches each. how many of the shor
Fittoniya [83]
First of all we need to convert the 3 yards to inches, So 3 * 12 = 36

36 / 16 = 2.25

I hope this helps :)
8 0
3 years ago
Which is a correct expansion of (4x + 1)(2x - 2)?​
bekas [8.4K]

Answer:

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Step-by-step explanation:

formula= ab^2(- or +)b-ab

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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
WITCHER [35]

Answer:

0.15651

Step-by-step explanation:

This can be approximated using a Poisson distribution formula.

The Poisson distribution formula is given by

P(X = x) = (e^-λ)(λˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to x)

where λ = mean of distribution = 20 red bags of skittles (20% of 100 bags of skittles means 20 red bags of skittles)

x = variable whose probability is required = less than 16 red bags of skittles

P(X < x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to (x-1))

P(X < 16) = Σ (e^-λ)(λˣ)/x! (Summation From x=0 to x=15)

P(X < 16) = P(X=0) + P(X=1) + P(X=2) +......+ P(X=15)

Solving this,

P(X < 16) = 0.15651

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Step-by-step explanation:

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