Answer: k ≤ -4 or k ≥
<u>Explanation:</u>
| 3k + 4 | ≥ 8
3k + 4 ≥ 8 or 3k + 4 ≤ -8
<u> -4</u> <u> -4 </u> <u> -4</u> <u>-4 </u>
3k ≥ 4 or 3k ≤ -12
<u>÷3 </u> <u>÷3 </u> <u> ÷3 </u> <u>÷3 </u>
k ≥ or k ≤ -4
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:
The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:
The formula for the area of a circle is:
Substitute 5 for r:
Square and simplify:
So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:
Multiply:
Substitute 6 for r for the area formula:
Square and simplify:
So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!
Answer: a) 0.99917 b) 0.7054 c) 0.9820
Step-by-step explanation:
Let X denotes the number of people are in favor of a proposed rise in school taxes.
Era re given that p(probability that a person is in favor of a proposed rise )= 0.65
Sample size : n= 100
Mean= np = 100(0.65)=65
Standard deviation:
a) Now, the probability that a random sample of 100 people will contain at least 50 who are in favor of the proposition :
b) between 60 and 70 inclusive who are in favor;
c) fewer than 75 in favor.