Answer:
Our score = 0.60, Amanda's score = 0.25
Step-by-step explanation:
For Amanda
μ = 15 , σ = 4
z- score for X = 16 is (From z table)
z = (X - μ)/σ = (16 - 15)/4 = 0.25
For us
μ = 310 , σ = 25
z score for X = 325 (From z table)
z = (325-310)/25 = 0.60
Since our z score is better than Amanda's z score, we can say we did better
Answer:
7 19/42
Step 1:
Convert the mixed fractions into improper fraction (Denominator will be same)
2x7+2= 16/7
5x6+1=31/6
Step 2:
LCM of 6 and 7 are 42
Step 3:
217+96/42= 313/42
Step 4:
Covert to mixed fraction so the answer is 7 19/42
P = 24455 (1.03)x
30,000/24455 (1.03) < x
The year must be > 1.19 + 2007, or 2008.19, which means in 2009, or in 2008 + 3 months
Lets just choose the first one, 3 4 and 5. According to the Pythagorean Theorem,
a^2+b^2=c^2
So lets plug in our numbers.
3^2+4^2=c^2
The answer should be 5, but lets make sure.
3*3 = 9
4*4 = 16
9+16=c^2
25 = c^2
Square root both sides so:
5=c
And sure enough 5 is the last number on that list. The order doesn’t matter as long as the value you are trying to find is the c^2.
This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
