The answer is <span>A. .357 + .372 + .350 + .349 + x = 1.754; .326
</span>
x1 - average of <span>1999 Nomar Garciaparra Boston
</span>x2 - average of 2000 Nomar Garciaparra Boston
x3 - average of <span>2001 Ichiro Suzuki Seattle
</span>x4 - average of Manny Ramirez Boston
x - average of <span>2003 Bill Mueller Boston
</span><span>The sum of these five batting averages is 1.754:
x1 + x2 + x3 + x4 + x = 1.754
From the table:
x1 = 0.357
x2 = 0.372
x3 = 0.350
x4 = 0.349
x = ?
<u>0.357 + 0.372 + 0.350 + 0.349 + x = 1.754</u>
1.428 + x = 1.754
x = 1.754 - 1.428
<u>x = 0.326</u></span>
Answer:
588 sq. in.
Step-by-step explanation:
The total volume of air inside the skylight is in the shape of a pyramid, not the rectangular prism at the bottom.
So, if we look at the pyramid, it has a square base with dimensions 14 x 14. Its height is 11 - 2 = 9.
Formula for volume of a pyramid is:
V = 1/3 * Area of Base * height
Area of Base (since it is a square) = 14 * 14 = 196
Height is 9
<em>plugging into the formula, we get:</em>
<em>
</em>
<em />
<em>Hence, volume is 588 sq. in.</em>
Answer:
all real numbers
Step-by-step explanation:
Here is the solution to the first inequality:
3(2x +1) > 21 . . . . . . given
6x +3 > 21 . . . . . . . . eliminate parentheses
6x > 18 . . . . . . . . . . .subtract 3
x > 3 . . . . . . . . . . . . divide by 6
This is all numbers to the right of 3 on the number line.
__
The solution to the second inequality is ...
4x +3 < 3x + 7 . . . . given
x < 4 . . . . . . . . . . . . subtract 3x+3
This is all numbers to the left of 4 on the number line.
__
The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.
For this case, the first thing we must do is define a variable.
We have then:
x: total sales for the week
We now write the equation that models the problem.
We have then:
p (x) = 0.035x + 300
Answer:
a function, p (x), which can be used to determine his pay for the week is:
p (x) = 0.035x + 300