Answer:
the 1 is the hundred thousand place and the 7 is in the ten thousand place
Step-by-step explanation:
Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if
and
then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.
side note: q = 1-p is the complement of probability p
Answer:
![\$\dfrac{320,000}{7}\approx \$45,714.29.](https://tex.z-dn.net/?f=%5C%24%5Cdfrac%7B320%2C000%7D%7B7%7D%5Capprox%20%5C%2445%2C714.29.)
Step-by-step explanation:
Steve and Elizabeth invest money in a 3:4 ratio, respectively. This means that Steve invests $3x and Elizabeth invests $4x.
They need $80,000 for the franchise, then
3x+4x=80,000,
7x=80,000
![x=\dfrac{80,000}{7}.](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B80%2C000%7D%7B7%7D.)
Thus, Elizabeth invests
![4x=4\cdot \dfrac{80,000}{7}=\dfrac{320,000}{7}\approx \$45,714.29.](https://tex.z-dn.net/?f=4x%3D4%5Ccdot%20%5Cdfrac%7B80%2C000%7D%7B7%7D%3D%5Cdfrac%7B320%2C000%7D%7B7%7D%5Capprox%20%5C%2445%2C714.29.)
Here, m∠5 + <span>m∠2 = 180 [ Supplementary Angles ]
142 + </span><span>m∠2 = 180
</span><span>m∠2 = 180 - 142 = 38
Now, </span>m∠2 + m∠3 + <span>m∠4 = 180 [ Angles in a Triangle ]
38 + </span><span>m∠3 + 65 = 180
</span><span>m∠3 = 180 - 103
</span><span>m∠3 = 77
Again, </span>m∠3 + <span>m∠1 = 180 [ Supplementary Angles ]
</span><span>m∠1 + 77 = 180
</span><span>m∠1 = 180 - 77 = 103
In short, Your Answer would be 103
Hope this helps!</span>