Answer:
a) x=
10°
50°
130°
10°
50°
130°
170°
250°
290°
b) x=
90°
210°
330°
Step-by-step explanation:
2 sin (3x) = 1
a) look at the graph, y=1 when x is near:
10°, 50°, 130°, etc
in the equation: 2 sin (3x) = 1 ⇒ sin (3x) = 0.5 ⇒ 3x = 30° (and others) ⇒ x = 10° (and others). So the values given in solution (10°, 50°, 130°, etc) are true
b) is evident
Answer:
7
Step-by-step explanation:
Minimum value is equal to x=8, y=-4
First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16
at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.
Just plug in 8 to the original equation to find the answer for the minimum value.
Answer:
Option B:


Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:

Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
The attached graph represents the graph of the equation 3x + y = 10
<h3>How to determine the line graph?</h3>
The given parameters are:
- Budget: $10
- Smoothies: $3
- Candy bars: $1
Represent the number of smoothies with x and the number of candy bears with y.
So, the equation is:
3x + 1y = 10
This gives
3x + y = 10
Next, we plot the graph of the above equation
See attachment for the graph of 3x + y = 10
Read more about linear equations at:
brainly.com/question/14323743
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