Answer:
70°
Step-by-step explanation:
Since ∠BCA is supplementary with the 110° angle shown on the other side, ∠BCA = 180° (The measurement of a straight line) - 110° = 70°.
~Hope this helps!~
Percent of turn pike is 75% and percent of parkway is 25%.
<u>Solution:</u>
Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion
About
comes from tolls on the turnpike
Remaining
comes from tolls on the parkway
<em><u>To find the percent of the total revenue from turnpike:</u></em>
![\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20Percent%20of%20turnpike%20%7D%3D%5Cfrac%7B%5Ctext%20%7B%20amount%20from%20parkway%20%7D%7D%7B%5Ctext%20%7B%20total%20revenue%20%7D%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B%5Cfrac%7B3%7D%7B4%7D%20%5Ctext%20%7B%20of%20total%20revenue%20%7D%7D%7B%5Ctext%20%7B%20tot%20al%20revenue%20%7D%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%20%5Ctext%20%7B%20total%20revenue%20%7D%7D%7B%5Ctext%20%7B%20total%20revenue%20%7D%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%20100%3D3%20%5Ctimes%2025%3D75%20%5C%25%7D%5Cend%7Barray%7D)
<em><u>To find the percent of the total revenue from parkway:</u></em>
![\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20Percent%20of%20parkway%20%7D%3D%5Cfrac%7B%5Ctext%20%7B%20amount%20from%20parkway%20%7D%7D%7B%5Ctext%20%7B%20total%20revenue%20%7D%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B4%7D%20%5Ctext%20%7B%20of%20total%20revenue%20%7D%7D%7B%5Ctext%20%7B%20total%20revenue%20%7D%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%20%5Ctext%20%7B%20total%20revenue%7D%7D%7B%5Ctext%20%7B%20total%20revenue%20%7D%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%20100%3D25%20%5C%25%7D%5Cend%7Barray%7D)
<em><u>Summarizing the results:</u></em>
Percent of turn pike is 75%
Percent of parkway is 25%
Given
mean of 406 grams and a standard deviation of 27 grams.
Find
The heaviest 14% of fruits weigh more than how many grams?
Explanation
given
mean = 406 gms
standard deviation = 27 gms
using standard normal table ,
![\begin{gathered} P(Z>z)=14\% \\ 1-P(Zso , [tex]\begin{gathered} x=z\times\sigma+\mu \\ x=1.08\times27+406 \\ x=435.16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28Z%3Ez%29%3D14%5C%25%20%5C%5C%201-P%28Zso%20%2C%20%5Btex%5D%5Cbegin%7Bgathered%7D%20x%3Dz%5Ctimes%5Csigma%2B%5Cmu%20%5C%5C%20x%3D1.08%5Ctimes27%2B406%20%5C%5C%20x%3D435.16%20%5Cend%7Bgathered%7D)
Final Answer
Therefore , The heaviest 14% of fruits weigh more than 435.16 gms
Answer:
y=9b to the second power t over m
Step-by-step explanation:
should look like this
y=9b^2t/m