Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:
Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:
So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.
First we need to calculate lenght of each side of triangle.
we use formula for finding distance between 2 points in xy coordinate system.
AB = √13
BC = √13
AC = √26
In order for triangle to be equilateral it must have all 3 sides equal lenght which in this case isn't correct. In order for it to be right it has to suit pythagoras theorem.
AC^2 = AB^2 + BC^2
expressing values of AC, AB and BC we can see that condition for right triangle is fulfilled.
Answer is RIGHT.
Answer:
because the square root of 10 is an irrational number, and only rational numbers are integers. integers are whole numbers and have no fractions or decimels... hope it helps
Third is y=-2x-2, second is y+4=-1(x-3), first is y+5=-1(x+4)
The question is incomplete, here is the complete question:
You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. Write a system of linear equations that represents this situation.
The system of linear equations that represents this situation is:
x + y = 42
x - y = 8
Step-by-step explanation:
To solve the problem assume that
- x represent the number of magazine subscriptions that your friend sell
- y represents the number of magazine subscriptions that you sell
∵ Your friend sells x magazine subscriptions
∵ You sell y magazine subscriptions
∵ Together you sell 42 magazine subscriptions
∴ x + y = 42 ⇒ (1)
∵ You sell 8 fewer magazine subscriptions than your friend
∵ Your friend sells x magazine subscriptions
∵ You sell y magazine subscriptions
- That means y = x - 8
∴ y = x - 8
- Add 8 for both sides
∴ 8 + y = x
- Subtract y from both sides
∴ 8 = x - y
- Switch the two sides
∴ x - y = 8 ⇒ (2)
The system of linear equations that represents this situation is:
x + y = 42
x - y = 8
Learn more:
You can learn more about the system of linear equations in brainly.com/question/6075514
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