Answer: He can make 36 different salds
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
43.55 rounds the tenth up because it has a hundredth of five
Answer: (x ÷ 7) - 10 < -6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that A shipment contains 6000 batteries, and 1% of them do not meet specifications.
Sample size =49
If x is the number of batteries not meeting specifications then
x is binomial with n =49 and p = 0.01
Because i) each toy is independent of the other
ii) There are only two outcomes
Probability whole shipment is accepted = Prob (X≤3)
=0.9885
Hence almost all shipments would be accepted.
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
