Answer:
The angular speed of the wheel in radians per second is 0.66.
Step-by-step explanation:
Recall the following statement:
A linear speed (v) is given by,
...... (1)
Here,
represents the angular speed of the wheel and <em>r</em> represents the radius of the wheel.
From the given information:
Linear speed (v) = 33 cm/s
Radius of the wheel (r) = 50 cm
Now to find the angular speed in radian per second.

Divide both sides by 50.

Hence, the angular speed of the wheel in radians per second is 0.66.
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:



Calculate the standard deviation:



Within ± 0.02 of the population proportion are:


Calculate the z-scores at these points using:

So, we have:


The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
Read more about probability at:
brainly.com/question/25870256
#SPJ1
Answer:
see explanation
Step-by-step explanation:
The 2 marked angles are vertical and congruent, thus
24x = 23x + 5 ( subtract 23x from both sides )
x = 5
Thus angles = 24 × 5 = 120°
Answer:
(1,4)
Step-by-step explanation:
The two lines intersect at 1,4 when you graph them
The first equation is already in slope intercept from, so you know the y-int. is 7 and the slope is 3. However, the second equation must be put in slope int. form.
5x+2y=3
move the y to the other side
5x=3-2y
move the 3 to the other side, so the y variable is by itself
5x-3=-2y
divide by -2 to the equation is equal to y
(-5x/2)+(3/2)=y
you now know the y int. of the second equation is 3/2 and the slope is -5/2
know that you know the slop int. formulas for both equations you can graph them