Answer:
(x−3−4)(x+1)
Step-by-step explanation:
A. Is 6x+9x and 15x
B. Is 4 times 1 plus 4 times 9y and 4+36y
Step-by-step explanation:
1) let number=a
six times a number=6a
Condition:
6a+4=22
2) eleven times a number=11a
Condition:
11a-5=50
3) 9 times a number=9a
Condition:
9a-7=-16
<u>N</u><u>o</u><u>t</u><u>e</u><u>:</u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>n</u><u>e</u><u>e</u><u>d</u><u> </u><u>t</u><u>o</u><u> </u><u>a</u><u>s</u><u>k</u><u> </u><u>a</u><u>n</u><u>y</u><u> </u><u>question</u><u> </u><u>please</u><u> </u><u>let</u><u> </u><u>me</u><u> </u><u>know</u><u>.</u>
You need to know the rule or theorem for the lengths of the sides of a triangle,which is: the lengths of any two sides of a triangle must add up to more than the length of the third side.
So, let's examine each option:
<span>A.4 inches => side A: 7, side B: 11, side C: 4 ---> NOT POSSIBLE
Justification:
7 + 4 = 11
11 = 11 => the sum of sides A and C is not greter than the side B, so it does not satisfy the rule.
B. 7 inches => side A: 7, side B: 11, side C: 7. ---> COULD BE
Justification:
7 + 7 = 14; 14 > 11
7 + 11 = 18; 18 > 7
C. 13.5 inches => side A: 7, side B: 11, side C: 13.5: ---> COULD BE
Justification:
7 + 11 = 18; 18 > 13.5
7 + 13.5 = 20.5; 20.5 > 11
11+13.5 = 24.5; 24.5 > 7
D. 18 inches => side A: 7, side B: 11, side C: 18 ---> NOT POSSIBLE
Justification:
7 + 11 = 18; 18 = 18 => it does not satisfy the rule.
E. 20 inches
=> side A: 7, side B: 11, side C: 20 ---> NOT POSSIBLE
Justification:
7 + 11 = 18; 18 < 20 => it does not satisfy the rule</span>
Answer:
The probability is approximately one in a million (0.001%
).
It's a very little probability, so the manager would be really surprised.
Step-by-step explanation:
We have for this question to calculate with a binomial random variable, with n=6 and p=1/1200=0.00083
.
We have to calculate the probability of getting 2 hits in the sample of size 6.

The probability is approximately one in a million (0.001%
).
It's a very little probability, so the manager would be really surprised.