Answer:
1. $2
2. $4
3. 2x
Step-by-step explanation:
The expected value of the sample mean of the values obtained in these 300 tosses is 3.5
Given :
A fair six sided die is tossed 300 times
We have to find the expected value of the sample mean of the values obtained in these 300 tosses.
A dice have six sides:
In a fair dice every side has equal chance of occurrence,
Now the probability of presence of each side = 1/6
Now the expected value of the sample mean of the values obtained in these 300 tosses is given by:
E(x) = Σx P(x =x)
= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6
= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
= 1/6 (1+2+3+4+5+6)
= 1/6 (21)
= 21/6
E(x) = 3.5
Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5
To know more about sample mean check the below link:
brainly.com/question/29739571
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Answer is b
there are 2 cases
1: if x is less than -5/3
then you have -3x-5=5x+2
solve and get x=-7/8 which is invalid
2: if x is more than -5/3
then you have 3x+5=5x+2
solve and get x=3/2 which is valid
so b is the answee
Answer:
Points passing though are (12, 3),(–2, –5) and (1, 15)
Step-by-step explanation:
For a line passing through (x₁,y₁) and (x₂,y₂) slope is given by 
.
Here we have one point (0, –1), we need to check slope of all the points given.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)
Points with positive slope are (12, 3),(–2, –5) and (1, 15)
Venus moves at an approximate speed of 78,341 miles per hour, so we need this to be miles per second for our calculations.
First, divide by 60, as this time is for hours, and 1/60 of an hour is a minute.
78,341/60=1305.68333 miles per minute.
Divide this number by 60 to get 1 second, as there are 60 seconds in a minute.
1305.68333/60=21.7613888 miles per second
Now, multiply this by 5 for the total distance over 5 seconds.
21.7613888*5=108.806944 miles in 5 seconds
Now, we need to convert this distance from miles to kilometers, by multiplying this final answer by 1.6.
108.806944 miles*1.6=174.0911 kilometers in 5 seconds.
Hope this helps!
And I do not think any rounding was completed until the end. I shortened for the display on this, but I used the infinite decimal in the calculator.
