Answer:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard table and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard table and we got:
Step-by-step explanation:
If the tens digit of the number is X and the ones digit is Y then the number is equal to 10*X + Y
If you reverse the digits then the number is equal to 10*Y + X
If reversing the digits decreases the number by 36 then
10*Y + X = 10*X + Y - 36
The sum of the digits is 4 so X + Y = 4 ==> X = 4 - Y
Substitute this value of X into the 1st equation
10*Y + (4 - Y) = 10*(4 - Y) + Y - 36
9*Y + 4 = 40 - 9*Y - 36
18*Y = 0
Y = 0
I hope it helps you
So X = 4 - 0 = 4 and the number is 40
so, let's check 40 - 04 = 36
Answer:
The room is 19,5m long and 13m wide.
Step-by-step explanation:
1cm -> 6,5m
3cm -> 19,5m
2cm -> 13m
1/8
If you can make the bottom numbers (denominator) The same that you can use subtract the top numbers like normally
Answer:
Step-by-step explanation:
Distance travelled on graph = AB + BC + CD + DA
AB = CD = (3 +2) = 5
BC = AD = 2 –(-2) = 4
Distance on graph = 2 × 5 + 2 × 4 = 10 + 8 = 18 spaces = 18 blocks
Bridgette jogs each day.