Solution: We are given:
ACT scores follow normal distribution with 
SAT scores follow normal distribution with 
Now, let's find the z score corresponding to Joe's SAT score 1351.




Therefore, Joe's SAT score is 1.56 standard deviations above the mean.
Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.
Therefore, we have:






Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4
Answer:

Step-by-step explanation:
Given
From Figure
Sides of Triangle

Now, using concept
Perimeter of triangle = Sum of the sides of triangle
So,
Perimeter of triangle = 
Adding
and
, so,
Perimeter of triangle = 
This can be written as
Perimeter of triangle = 
Adding 15 and 10,
Perimeter of triangle = 
So, the correct choice is = 
Hope this helps.
Answer:That is incorrect. 12.8 is greater than 12.68 because .8 is greater than .68
Step-by-step explanation: Since “68” has been placed after the decimal, it is actually “.68” which is less than 1. From here, you have to figure out if .8 or .68 is closer to the number 1 and since .8 is closer, point 12.8 is greater than 12.68
In order to solve for a nth term in an arithmetic sequence, we use the formula written as:
an = a1 + (n-1)d
where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given values above.
<span>a1 = 38 and a17 = -74
</span>
an = a1 + (n-1)d
-74 = 38 + (17-1)d
d = -7
The 27th term is calculated as follows:
a27 = a1 + (n-1)d
a27= 38 + (27-1)(-7)
a27 = -144 -----------> OPTION D
Distance=rate .time
The rate of car 1 is 45km/hr
The rate of 2 car is 70/hr
We know that the second car left two hours after the first
If we let car 1 time =x
Then the time of second car=x-2
When two car reach the landmark,
The distance traveled by each will be the same
Therefore let us set up our equation using the formula for distance
Distance of car 1 = 45*x=45x
Distance of 2 car = 70(x-2)
=70x-140
Set these two equals to each other to designate when they reach the landmark
45x=70x-140
-25x=-140
X=140/25=28/5
=5 3/5
The time traveled by car 2 in the same direction
=v-2=(5 3/5-)-2= 3 3/5 hours
After 3 3/5 hours, car will be overtake car 1