mu = 1100 = population mean
sigma = 275 = population standard deviation
x = 1400 = raw score
z = z score
z = (x-mu)/sigma
z = (1400-1100)/(275)
z = 300/275
z = 1.0909090909091 approximately
z = 1.09
Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).
The positive z score is due to Paula's raw score being above the mean.
Answer:
y=-x+3
Step-by-step explanation:
Answer:
x = 45/17
Step-by-step explanation:
We can move all x to 1 side and all the numbers to another. You can add 8.7 on both sides and get that 2.3x = 0.8x + 4.5. Next, we subtract by 0.8x on both sides to get that 1.7x = 4.5, where we can then divide by 17/10 on both sides to get that x is equal to 45/10 * 10/17, so that means that x = 45/17.
If the company orders 27 boxed lunches from a deli for $245.70 and each boxed lunch costs the same amount then the unit cost of each boxed lunched is $9.1.
<h3>What is the unit cost of each boxed lunch?</h3>
Given that;
- 27 boxed lunches from a deli cost $245.70
- Cost of 1 box = ?
To determine the unit cost of each boxed lunch, we say;
Cost of each box = $245.70 ÷ 27
Cost of each box = $9.1
Hence, if the company orders 27 boxed lunches from a deli for $245.70 and each boxed lunch costs the same amount then the unit cost of each boxed lunched is $9.1
Learn more word problems here: brainly.com/question/2610134
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Here we know that the initial velocity of the car is given by:
And the final velocity of the car is given by:
It took 3 seconds to attain the final velocity, so we have 
Therefore, the acceleration can be obtained by:
Plugging the values of the initial, final velocity and the time, we get:
So the acceleration of the car is given by:
Now we need to find the direction of the average acceleration of the car:
Here, x and y are the coefficients of the 'x' and 'y' components of the vector:
Therefore, the direction of the average acceleration of the car is 
.
