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Hunter-Best [27]
2 years ago
11

Red Hook has a population of 6,200 people and is growing at a rate of 8% per year. Rhinebeck has a population of 8,750 and is gr

owing at a rate of 6% per year. In how many years, to the nearest year, will Red Hook have a greater population than Rhinebeck? Show the equation or inequality you are solving and solve it graphically.​
Mathematics
1 answer:
Kruka [31]2 years ago
7 0

Answer:

Step-by-step explanation:

subtract 8750 to 6200

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Start at 200. create a pattern that multiplies each number by 2. stop when you have 5 numbers
s2008m [1.1K]

Answer:

200 → 400 → 800 → 1600 → 3200

Step-by-step explanation:

starting at 200 and multiplying by 2 until you have 5 numbers.

8 0
3 years ago
From eight different books, in how many ways can any four of them be arranged side by side on a bookshelf?
Snezhnost [94]
First we calculate how many ways you can choose four books from a set of eight.
We use the formula n! / [r! * (n-r)!]

8! / [4! * 4!]

= 8*7*6*5 / 4*3*2*1 = 70 ways

Then we have to calculate how many permutations can be made from 4 objects which equals 4*3*2*1 = 24

So, the TOTAL number of ways = 70 * 24 = 1,680


3 0
3 years ago
there are 6 red marbles, 4 blue marbles, n 15 green marbles in jar. if you reach in n randomly draw one, what is the probability
Arte-miy333 [17]

Answer:

6÷25

Step-by-step explanation:

Favourable outcomes are 6,and the total outcomes are

6 + 4  + 15 = 25

So the probability of getting fed marble is Favourable outcome ÷ total outcome=6÷25.

7 0
3 years ago
Jackie is painting rocks. She paints 7 rocks blue. She paints fewer than 3 rocks red. How many rocks does jackie paint in all?
Salsk061 [2.6K]

Answer:

9 rocks

Step-by-step explanation:

6 0
3 years ago
10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error of the survey is:

M = \sqrt{\frac{\pi(1-\pi)}{n}}

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
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