Answer:
16 minutes and 5 sec
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x + y = - 1 -------------(I)
-5x - 2y = -4 -----------(II)
Multiply the equation (I) by 2 and then add the equations.
(I)*2 8x + 2y = -2
(II) <u>-5x - 2y = -4</u> {Now add and y will be eliminated}
3x = -6
x = -6/3
x = -2
Substitute x = -2 in equation (I)
4*(-2) + y = -1
-8 + y = -1
y = - 1 + 8
y = 7
Answer:
Step-by-step explanation:
Formula for calculating the surface area of the box S = 2(LW+LH+WH) where
L is the length of the box
W is the width of the box
H is the height of the box
If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;
S = 2(4(4)+4H + 4H)
S = 2(16+8H)
S = 32+16H
<em>Hence, The function that represents the surface area of this box as a
</em>
<em>function of its height is S = 32+16H where H is the height of the box</em>
<em></em>
Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;
S = 32+16H
S = 32+16(6.5)
S = 32+106
<em>S = 138in²</em>
<em>Hence the total surface area of the box is 138in²</em>
By definition of conditional probability,
Assuming a standard 6-sided fair die,
- if , then means ; otherwise,
- if , then .
Both outcomes are mutually exclusive with probability each, hence total probability .
Of the 36 possible outcomes, there are 6 ways to sum the integers 1-6 to get 7:
(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
and so a sum of 7 occurs of the time.
Then the probability we want is