Answer:
The three numbers are 29, 31, and 33.
Step-by-step explanation:
Let's imagine that the three consecutive odd integers are 2x−1, 2x+1, and 2x+3. And we are told the sum is 93 right? So, let's equal the three numbers to 93.
2x − 1 + 2x + 1 + 2x + 3 = 93
6x + 3 = 93
-3 -3
-----------------
6x = 90
/6 /6
----------------
x = 15
Now, plug in x into 2x−1, 2x+1, and 2x+3 to find the three numbers.
2x − 1 2x + 1 2x + 3
2(15) - 1 2(15) + 1 2(15) + 3
30 - 1 30 + 1 30 + 3
= 29 = 31 = 33
Answer:
3x + 2x
Step-by-step explanation:
Pretty sure its the first one because its the only thing that could come next.
Answer:
Step-by-step explanation:
The following piecewise functions are linear functions. The graph of any of them is a line segment.
We just need to calculate the value of the function at each end specified in the brace.
Substitute x =-1 and x = 0:
Range of this piece is [-5; -2)
Substitute x =0and x = 5:
Range of this piece is [3; 13)
Therefore the range of the following piecewise function is:
Look at the picture.
Answer:
Step-by-step explanation:
a)
p(d) - probability of a rivet being defective
p(r) - probability of seam needing to be reworked
The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective
Thus the probability that none of the 25 rivets is defective is 1-p(r)
p(r) = 16%, thus 1-p(r) = 84%
1-p(r) = (1-p(d))^24
0.84 = (1-p(d))^24
0.84^(1/24) = 1-p(d)
==> 1-p(d) = 0.9927615998
==> p(d) = 1-0.9927
==> p(d) = 0.0073
b) given p(r) = 8%, thus 1-p(r) = 92%
1-p(r) = (1-p(d))^24
0.92 = (1-p(d))^24
0.92^(1/24) = 1-p(d)
==> 1-p(d) = 0.99653179446
==> p(d) = 1-0.9965
==> p(d) = 0.0035
Answer:
x = 6
Step-by-step explanation:
Based on the triangle sum theorem, the sum of the interior angles of a triangle = 180°
Given the following, right angle (90°), 60°, and (7x - 12)° as interior angles of the triangle, therefore:
7x - 12 + 90 + 60 = 180
Add like terms
7x + 138 = 180
7x + 138 - 138 = 180 - 138 (subtraction property of equality)
7x = 42
7x/7 = 42/7 (division property of equality)
x = 6
