Answer:
0.3339 = 33.39% probability that both Dave and Mike will show up
Step-by-step explanation:
Probability of independent events:
If A and B are independent events, the probability of both happening at the same time is given by:
In this question:
Event A: Dave shows up.
Event B: Mike shows up.
Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.
This means that 
.
a. What is the probability that both Dave and Mike will show up
0.3339 = 33.39% probability that both Dave and Mike will show up
So basically we can simplify the fraction by finding the gcf which is the greatest common factor so 14/12 both have 2 in common we simplify that by dividing by 2 so 14÷2 is 7/6 is the fraction on the left hand side and d/48 is the fraction on the right hand side so to solve for d we have to divide 336/6 whixh equals 56 as tour answer. Hoped this helped!!
Answer:
135°
Step-by-step Explanation:
==>Given:
An inscribed quadrilateral ABCD with,
m<A = (3x +6)°
m<C = (x + 2)°
==>Required:
measure of angle A
==>Solution:
First, let's find the value of x.
Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.
Therefore, this means m<A + m<C = 180°
Thus, (3x+6) + (x+2} = 180
3x + 6 + x + 2 = 180
Collect like terms:
3x + x + 6 + 2 = 180
4x + 8 = 180
Subtract 8 from both sides:
4x + 8 - 8 = 180 - 8
4x = 172
Divide both sides by 4:
4x/4 = 172/4
x = 43
We can now find m<A = (3x + 6)°
m<A = 3(43) + 6
= 129 + 6
measure of angle A = 135°
<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>
Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get
f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24
So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5
<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5
The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.
So the final answer is C) 3
Alright, so since 20/100=1/5, and 1/5 of 45=9, 20% off of 45=9 and 45-9=36 dollar sale. Since 30=30/100, we can divide 95 by 100 and multiply that by 30 to get 0.95*30=28.5. 95-28.5=66.5
Next, we need to find 8% of 36+66.5=102.5. 8=8/100, so we divide 102.5 by 100 and multiply it by 8, getting 1.025*8=8.2
