Answer:
Step-by-step explanation:
x-4=0
x=4
p(x)=cx^3-15x-68=0
p(x)=c(4)^3-15(4)-68=0
p(x)=64c-60+68=0
p(x)=64c+8=0
p(x)=64c=-8
p(x)=c=-8/64
p(x)=c=-1/8
<span>If MN = 3 and MN = AB, then AB = 3
</span>answer
Transitive Property
<u>Answer:</u>
The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744
<u>Solution:</u>
Total number of coils = number of good coils + defective coils = 88 + 12 = 100
p(getting two good coils for two selection) = p( getting 2 good coils for first selection )
p(getting 2 good coils for second selection)
p(first selection) = p(second selection) = ![\frac{\text { number of good coils }}{\text { total number of coils }}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7B%20number%20of%20good%20coils%20%7D%7D%7B%5Ctext%20%7B%20total%20number%20of%20coils%20%7D%7D)
Hence, p(getting 2 good coil for two selection) = ![\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}](https://tex.z-dn.net/?f=%5Cfrac%7B88%7D%7B100%7D%20%5Ctimes%20%5Cfrac%7B88%7D%7B100%7D%20%3D%5Cbold%7B0.7744%7D)
Answer:
2.5
Step-by-step explanation:
From the diagram, figure B was enlarged to obtain figure A.
The two figures are therefore similar.
The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.
It is given by:
![k = \frac{image \: length}{corresponding\:object \: length}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7Bimage%20%5C%3A%20length%7D%7Bcorresponding%5C%3Aobject%20%5C%3A%20length%7D%20)
Figure B is the image of A
![k = \frac{10}{4} = \frac{25}{10} = \frac{21.5}{8.6} = 2.5](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B10%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B25%7D%7B10%7D%20%20%3D%20%5Cfrac%7B21.5%7D%7B8.6%7D%20%3D%20%20%202.5)
Therefore the scale factor is 2.5