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Snezhnost
1 month ago
12

Statisticians for a roadside assistance company interviewed 50,000 randomly selected United States (US) households. Of those, 15

,595 reported that they had traveled 50 or more miles from home between December 23 and January 4. If there are 115,000,000 US households, approximately how many of them do the interviews suggest traveled 50 or more miles from home at that time?
Mathematics
1 answer:
lawyer [12.5K]1 month ago
8 0

Answer:

35,868,500 people

Step-by-step explanation:

To calculate how many individuals traveled more than 50 miles, we need the probability. Here n=50000 and p=15595:

P(X\geq 50)=\frac{15595}{50000}\\\\=0.3119

The total population of the US is 115000000. We find the proportion of the population that traveled over 50 miles:

E(X)=np, N=115000000,p=0.3119\\\\=0.3119\times 115000000\\\\\\=35868500

Thus, it can be concluded that approximately 35,868,500 individuals traveled more than 50 miles.

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Which scatter plot has a correlation coefficient closest to r=1
Inessa [12570]

Answer:

The answer is the scatter plot that displays a pronounced positive slope along the curve of best fit.

Step-by-step explanation:

A scatter plot illustrates the relationships between two variables for an individual. It is essentially a graph in which a best-fit curve is drawn to encapsulate the complete dataset. A scatter plot is considered to have a robust correlation if the correlation coefficient is near r = 1, indicating a very strong connection between the two variables.

A scatter plot exhibits a solid correlation when its data points are closely aligned to the line or curve of best fit.

For r = 1, the correlation is regarded as strong and positive.

5 0
21 day ago
Read 2 more answers
Roberta invested $600 into a mutual fund that paid 4% interest each year compounded annually. Write an exponential function of t
lawyer [12517]

Answer:

The exponential equation can be expressed as A = 600(1.04)^15

After 15 years, the value of the mutual fund will be $1,081

Step-by-step explanation:

The worth of the mutual fund after a specific number of years can be represented by the compound interest formula shown below;

A = P(1 + r/n)^nt

In this formula, A stands for the mutual fund's value after 15 years, P represents the principal amount invested, which is $600, r denotes the interest rate at 4% or 0.04 (thus, 4% = 4/100 = 0.04), n indicates the number of times compounding occurs per year (in this case, it is done once a year), and t represents the number of years, which is 15.

Now, substituting in these values gives us;

A = 600(1 + 0.04/1)^15

A = 600(1.04)^15

A = $1,081 approximately

8 0
1 month ago
Read 2 more answers
If the end behavior is increasing to the left, what might be true about the function? Select all that apply.
zzz [12365]

The degree is positive and even

The degree is negative and odd

Follow these steps: Have faith in me

6 0
1 month ago
Brand X Pizza is having a special coupon offer. If you buy two large pizzas, you get $2.00 off the price. A large pizza normally
PIT_PIT [12445]

This is a useful question to answer. I believe there’s not a single place on earth that is free from some form of tax.

Tax is applicable only during transactions where money is exchanged, and it does not affect discounts.

If you decide to take the offer, the cost is determined by:

Cost for two pizzas = standard price - discount applied.

Cost for two pizzas = 2*10.50 - 2.00

Cost for two pizzas = 21 - 2

Cost for two pizzas = 19.00 dollars.

Now, you should add the sales tax to this amount. There are two methods to do this: the detailed method or the quicker method.

Detailed Method

Calculate the sales tax:

Tax = rate * total cost

Tax = (7.5/100) * 19

Tax = 1.425, don’t round yet.

Total Amount = total purchase + tax

Total Amount = 19.00 + 1.425 = 20.425. Now, round it off. The way to round when the last digit is 5 can vary; I usually round up, so my final answer would be 20.43 <<<<< This is the answer.

Quick Method

Final Cost = (Original Price - discount)*(1 + tax rate/100)

Final Cost = (21 - 2)*(1 + 7.5/100)

Final Cost = 19 * (1.075)

Final Cost = 20.425, which rounds to 20.43.

8 0
1 month ago
The probability of selecting a particular color almond M&amp;M (according to their website) from a bag of M&amp;Ms is listed bel
tester [12383]

Answer:

P(R or G) = 0.3

Step-by-step explanation:

In the question, we are provided with the following information:

x:      BR       Y      R      BL     O     G

P(x):  0.1     0.2    0.1    0.2    0.2   0.2

Initially, we need to assess the distribution type.

\displaystyle\sum p(x) = 0.1 + 0.2 +.1 + 0.2 + 0.2+ 0.2 = 1

This indicates it is a discrete probability distribution.

Next, we need to compute P(R or G)

\text{P(R or G)} = P(R) + P(G) = 0.1 + 0.2 = 0.3

Therefore, the likelihood of picking a red or green M&M is 0.3

4 0
1 month ago
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