Answer:
B. 2 + 6x and 2(3x + 1) Choose
D. 3x and 4(x + 1) – x – 4 Choose...
E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...
Step-by-step explanation:
A. 3x + 14 – x + 112 and 4x + 134 Choose...
3x + 14 - x + 112
= 2x + 126
And
4x + 134
Not equivalent
B. 2 + 6x and 2(3x + 1) Choose...
2 + 6x
And
2(3x + 1)
= 6x + 2
Yes, equivalent
C. 3(x + 1) – (1 + x) and 2x + 3 Choose...
3(x + 1) - (1 + x)
3x + 3 - 1 - x
2x + 2
And
2x + 3
No, not equivalent
D. 3x and 4(x + 1) – x – 4 Choose...
3x
And
4(x + 1) - x - 4
= 4x + 4 - x - 4
= 3x
Yes, equivalent
E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...
5.5 + 2.1x + 3.8x - 4.1
1.4 + 5.9x
And
1.4 + 5.9x
Yes, equivalent
The reason that the compass opening has to be greater than 1/2 of the segment is so it can make arcs.
Answer:
(a) 8 balls
(b) 4 balls
Step-by-step explanation:
Let
Number of balls
For a box, the probability that there are N balls in it is:
For 2 boxes, it is:
From the question, we have:
Favorable outcome
To solve for N, we have:
Divide both sides by 2
Take log of both sides
Apply law of logarithm
Make N the subject
Approximate
Solving (b): Balls in one of the two boxes.
Here, we assume that each ball will have almost the same number of balls at a given instance;
Hence, we have:
<em>4 balls in each box</em>
Answer:
15%
Step-by-step explanation:
37.5% of the 40% of students who walk have been late, so ...
0.375 · 0.40 = 0.1500 = 15%
of the students in the school both walk and have been late.
The probability that the student selected walks and has been late is 15%.