<span>1) Choosing 3 of 5 toppings for pizza (you CAN have extra of something you like)
meaning u can have the same toppings as ur 3 choices
so for each of the 3 choices, there are 5 options
total possible outcome = 5 x 5 x 5 = 125
</span><span>2) Choosing 3 of 5 toppings for pizza ( you canNOT order "doubles")
meaning each choice can be selected just once
so after the first choice, there is only 4 options left; after 2nd, just 3
total possible outcome = 5 x 4 x 3 = 60
</span>
Answer:
(a) 0.007238 or 07238%
(b) 0.003468 or 0.3468%
Step-by-step explanation:
(a) Since all it takes is one defective rivet for a seam to be reworked. The probability of a defective rivet 'p' for 16% of seams needing reworking is:
![1-(1-p)^{24} = 0.16\\1-p = \sqrt[24]{0.84}\\p=0.007238](https://tex.z-dn.net/?f=1-%281-p%29%5E%7B24%7D%20%3D%200.16%5C%5C1-p%20%3D%20%5Csqrt%5B24%5D%7B0.84%7D%5C%5Cp%3D0.007238)
The probability that a rivet is defective 0.007238 or 0.7238%.
(b) To ensure that only 8% of seams need reworking, the probability 'p' must be:
![1-(1-p)^{24} = 0.08\\1-p = \sqrt[24]{0.92}\\p=0.003468](https://tex.z-dn.net/?f=1-%281-p%29%5E%7B24%7D%20%3D%200.08%5C%5C1-p%20%3D%20%5Csqrt%5B24%5D%7B0.92%7D%5C%5Cp%3D0.003468)
In order to ensure that only 8% of all seams need reworking, the probability of a defective rivet should be 0.003468 or 0.3468%.
Answer:500
Step-by-step explanation: did she sell the candies for 10$ or no
Answer: The scale is 5cm/m (5 cm in the drawing are equivalent to 1 meter on the actual pit)
Step-by-step explanation:
When we have an original measure M, and we redraw it with a new scale, where the new measure is m, the scale used is equal to:
scale = m/M.
In this case, we know that:
The pit is 3m, by 5m
and the drawing to scale is 15cm by 25cm
(15cm is the rescaled version of the 3m side, and 25cm is the rescaled version of the 5m side)
Using the equation above, we can find that the scale is:
Scale = 15cm/3m = 5cm/m
and, if we use the other side, we get:
Scale = 25cm/5m = 5cm/m
Both calculations give the same scale, as expected.
Then the scale is 5cm/m, which means that 5 centimeters in the drawing are equivalent to one meter in the real pit.
