Answer:

Step-by-step explanation:

<u>Event A - spinning violet or yellow</u>
Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.

<u>Event B - rolling an even number</u>
Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6. Therefore, the even numbers are 2, 4 and 6.

Events A and B are <u>independent events</u> as the outcome of one event does not affect the outcome of the other event.
For independent events A and B:

To find P(A and B), substitute the found values of P(A) and P(B):

Answer:
65% as a fraction would be 13/20
Step-by-step explanation:
Answer:
About 95% of house sizes that lie between 955.7 and 1454.1 sq ft .
Step-by-step explanation:
According to the empirical rule about 68% of the data is within one standard deviation of the mean; about 95% of the data is within two standard deviations of the mean ; about 99.7% of the data is within three standard deviations of the mean.
We have given:
Sample mean : x¯=1204.9 sq ft
Standard deviation: s=124.6 sq ft
To find the percentage of house sizes that lie between 955.7 and 1454.1 sqft.
We can write it as
955.7= 1204.9 - 249.2 = 1204.9 - 2(124.6)
and 1454.1 = 1204.9 + 249.2 = 1204.9 + 2(124.6)
Thus, 955.7 is 2 standard deviations left from the means and 1454.1 is 2 deviations right from the mean.
Then by empirical rule , about 95% of house sizes that lie between 955.7 and 1454.1 sq ft .
Easy
if x is the number
sqrt x is between 17 and 18
17<√x<18
squaer the whole thing
289x could be 300
it could be sqrt of 300
√300=10√3
one is 10√3