Answer:
5:3
Step-by-step explanation:
to find the scale factor you set up the proportion as 15/9 and reduce to 5/3
Answer:
0.0323 = 3.23%. Is unusual
Step-by-step explanation:
Using the normal distribution we can find z value with the mean and standard deviation as follows. x is the value we want to know its probability
z = (x - mean)/standard deviation
z = (5-8.54)/1.91
z = -1.85
Using z tables for normal distribution, for z = 1.85, we have an area under the curve of 0.9677. Since we want to know the probability for 5 minutes or less, we have to substract from
p = 1- 0.9677
p = 0.0323
An event with a probability less than 5% is considered unusual.
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)
The equation of such parabola would be:
Plug in vertex to find value of 'a'
Now find the focus given that
Answer: the microphone should be placed 7.5 inches from vertex.
I think it's 240 mile per hour
60sec.= 1min
60min.=1hour
60×60=3600secs.
3600÷15=240
