Answer: It's in the picture
Step-by-step explanation:
Answer:
The standard deviation is 11 points
Step-by-step explanation:
To calculated the z-score of a value x, we use the following equation:
Where m is the mean, s is the standard deviation and z is the z-score.
If we solve this equation for s, we get:
So, replacing z by 2, m by 153 and x by 175, we get:
Therefore, the standard deviation is 11 points
Odd number on a fair die:
50%, as 1,3,5 are all odd and there are 6 sides on a die
tails: 50% as 2 sides.
But if you are asking together: for each possible side on the die, there is a possibility of heads or tails
1: H T
2: H T
3: H T
4: H T
5: H T
6: H T
so 12 possibilities.
to roll an odd number and have a coin land on tails
1: T
3: T
5: T
3 different possibilities satisfy that
so then the answer becomes: 3/12
so 25%
Hope This helps!
Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
