Answer:
(1) x^2 is greater than 1.
(2) x is greater than -1.
(1) x^2 is greater than 1 --> x2>1x2>1 --> x<−1x<−1 or x>1x>1. Sufficient.
(2) x is greater than -1 --> x>−1x>−1. Not sufficient.
Answer:
A Cumulative probability distribution for the number of tires bought is prepared below.
Step-by-step explanation:
We are given that Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none.
The cumulative probability distribution for the number of tires bought is given by;
<u>No. of tires</u> <u>Probability Distribution</u> <u>Cumulative Probability</u>
<u>Distribution</u>
0 6% 6%
1 6% 12%
2 22% 34%
3 6% 40%
4 60% 100%
Now, here we are given within the question about:
P(0 tires) = 6%
P(2 tires) = 22%
P(4 tires) = 60%
Also, P(Fewer than 2 tires) = 12% which means P(0 tires) + P(1 tire) must be equal to 12%. So, P(1 tire) = 12% - 6% = 6%.
And, in the end P(3 tires) = 100% - 6% - 6% - 22% - 60% = 6%.
Answer:
B
Step-by-step explanation:
When the function is less than but equal to and it's opposite are always solid dots. By this you can do simple process of elimination.
Answer:
a)
<u>The equation would be:</u>
b)
Step 1. <u>Subtract 2 from both sides:</u>
Step 2. <u>Divide both sides by 3:</u>
c)
- A single box weights x= 4 units.
Interest paid after 30 years is $494,546.99.
Solution:
Principal (P) = $195,000
Interest rate (r) = 4.3%
Time (t) = 30 years
n = number of times interest calculated per year
n = 1
Compound interest formula:

where A is the final amount




A = 689546.99
Interest = Amount - Principal
= 689546.99 - 195000
= 494546.99
Interest paid after 30 years is $494,546.99.