Answer:
0.91517
Step-by-step explanation:
Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.
Let A - the event passing in SAT with atleast 1500
B - getting award i.e getting atleast 1350
Required probability = P(B/A)
= P(X>1500)/P(X>1350)
X is N (1100, 200)
Corresponding Z score = 
Answer:
1282kg
Step-by-step explanation:
1.0*1.12*1.1=1.232 tonnes
50kg + 1232kg = 1282kg
Hope this helps :)
Answer: The system of equations represents the constraints in this situation are:
s + h = 40
$18s + $14h = $700
The above equations are known as simultaneous equations. 40 scarves and hats were sold, this can be represented with this equation:
number of hats sold + number of scarves sold = 40
s + h = 40
The total amount made from the sales is the sum of the total amount made from the sale of the hats and the total amount made from the sale of the scarves. This can be represented with this equation:
($18 x s) + ($14 x h) = $700
Step-by-step explanation:
We are said that a rectangle has been transformed into the one indicated in Figure 1 according to this rule:
We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:
This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:
2. Counterclockwise
Applying the same previous concept but with the new rules for this case:
By reversing the answer, we have:
