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Temka [501]
3 years ago
12

Illinois' population is now 12.5 million and decreasing by 0.1 million each year. On the other hand, Arizona's population is 6.9

million and increasing by 0.6 million each year. In how many years will the two states have the same population?
Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Answer:

8 years

Step by step guide:

100,000 x 8 = 800,000

600,000 x 8 = 4,800,000

6,900,000 + 4,800,000 = 11,700,000

12,500,000 - 800,000 = 11,700,000

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How do you convert 15x + 17y = 17 into slope intercept form?
Daniel [21]

Answer:

y = -15/17x + 1

Step-by-step explanation:

15x + 17y = 17

17y = 17 - 15x

y = 1 - 15/17x

y = -15/17x + 1

8 0
3 years ago
Read 2 more answers
if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi
Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that p = 0.44

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? ​

This is P(X = 1) when n = 4. Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

6 0
2 years ago
Directions: Write an integer to model each situation.
Leni [432]

Step-by-step explanation:

tvt67tvyy8vy8vt67vt7v6vt67yvtv

8 0
2 years ago
15 POINTS photo included<br>a: 2<br><br>b: 5<br><br>c 3<br><br>d: 4
Leno4ka [110]

a: 2

b: 5

c 3

d: 4
I think the ans is 2
5 0
3 years ago
A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t
madreJ [45]

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

For second lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap =50+(\frac{20}{100}\times 50)

second lap = 50 + 10

second lap = 60\ sec

For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

Third\ lap = 60 + (\frac{20}{100}\times 60)

Third\ lap = 60+2\times 6

Third\ lap = 60+12

Third\ lap = 72\ sec

Time taken for 3 laps is equal to sum of all three laps time.

Tiem\ taken\ for\ 3\ lap = 50+60+72

Tiem\ taken\ for\ 3\ lap = 182\ sec

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

6 0
3 years ago
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