Answer:
x<3 and x≥5
Step-by-step explanation:
Look at the circles and what is shaded on the number line. The first circle is at x=3, and it's an open circle. An open circle means that the interval does not include that point. The arrow is going to the left, meaning x < 3.
The next circle is at x=5. It is a closed circle, so the interval does include that point (so draw a bar under the less than/greater than sign). Next, notice how the arrow is pointing to the right. That means that the blue area is at x=5 and greater than x=5, so x≥5.
Answer:
68.785 miles per hour
Step-by-step explanation:
make one of the numbers 0 and divide the other one by that number
Answer:
y = 5
Step-by-step explanation:
<u>Equation:</u>
m<DGF = m<DGE + m<EGF
<u>Given:</u>
m<DGF = 12y - 5
m<DGE = 5y + 6
m<EGF = 24
<u />
<u>Work:</u>
m<DGF = m<DGE + m<EGF
12y - 5 = 5y + 6 + 24
12y - 5 = 5y + 30
12y - 5y = 30 + 5
7y = 35
y = 5
Answer:
30 ft
Step-by-step explanation:
you use 35x sin(60) because 35 is the hypotenuse and the angle is 60 degrees
Answer: 0.5143
Step-by-step explanation:
Probability of students who are over 21 years old = 30% = 0.3
Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7
Probability of drinking alcohol for over 21 = 80% = 0.8
Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2
Let the probability of the students who are not over 21, that drink alcohol be p.
Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)
0.6 = (0.3 × 0.8) + (0.7 × p)
0.6 = 0.24 + 0.7p
0.7p = 0.6 - 0.24
0.7p = 0.36
p = 0.36/0.7
p = 0.5143
The probability of the students who are not over 21, that drink alcohol is 0.5143.
