Suppose five people are in a room. What is the probability that there is at least one shared birthday among these five people?

PLEASE ANSWER THIS ALGEBRA QUESTION ILL MARK YOU BRAINLIEST

anyanavicka [17]

Answer:

a

Step-by-step explanation:

7 0

3 years ago

A bakery makes 4 dozen raisin muffins and 8 dozen blueberry muffins. A dozen is 12 muffins.

swat32

Answer:

144

Step-by-step explanation:

8x12 = 96 and 4x12= 48 and 96+48= 144

7 0

2 years ago

Help i only have a day. 5% of what number is 12? Round your answer to the nearest tenth place if necessary. (Use any method to s

maw [93]

Answer:

240

Step-by-step explanation:

So here’s the step by step (for the show your work thingy)

so we can write an equation

0.05x=12

We use 0.05 becuase 5 percent is basically 5/100 and the x is used becuase we don’t know what the number is and the =12 is for the number that came out as a final result

ow we can solve the equation

x=12/0/05

x=240

Final answer is 240

3 0

2 years ago

Which statement is not true about the data shown by the box-and-whisker plot below?

Tom [10]

Answer: The data point 25 lies in the first quartile of the date

Step-by-step explanation: The data point 25 is not in the data set.

7 0

3 years ago

The number of motor vehicles registered in millions in the US has grown as follows:

zysi [14]

Answer:

a) Figure attached

b) $r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

4 0

2 years ago