Answer:
option a)
0.286
Step-by-step explanation:
Given that,
number of red pens in cup = 5
number of black pens in cup = 10
number of pen randomly selected = 3
There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.
probability of having all red pens = (5/15 x 4/14 x 3/13)
= 2/91
probability of having all black pens = (10/15 x 9/14 x 8/13)
= 24/91
probability that all pen are of same colour = 24/91 + 2/91
= 2/7
≈ 0.286
If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
Learn more about angle here
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12z+42=73
subtract 42 from both sides.
12z=31
divide 12 on both sides to get:
z=2.58
Answer:
1. Group A and B agree with each other.
2. Group A and C do not agree with each other.
Step-by-step explanation:
When we are analizing this problem, we will see what are the ranges of this measured times. Since we are taking into account the error we can see that :
- Group A varies from 7.34-0.05 to 7.34+0.05. So the limits are (7.29 ;7.39)
- Group B varies from 7.38-0.03 to 7.38+0.03. So the limits are (7.35; 7.41)
- Group C varies from 7.46-0.06 to 7.46+0.06. So the limits are (7.40; 7.52)
Question 1 is about the overlapping response in Group A and Group B. And yes, we have an overlap between 7.35 to 7.39. Among this times both group A and B are in agree with each other within the experimental uncertainty.
Question 2 is now referring to Group A and Group C. And no, there isn't any common time where both groups agree with each other.
