let's firstly convert the mixed fractions to improper fractions and then add up all four days.
![\bf \stackrel{mixed}{16\frac{3}{4}}\implies \cfrac{16\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{67}{4}}~\hfill \stackrel{mixed}{12\frac{3}{4}}\implies \cfrac{12\cdot 4+3}{4}\implies \cfrac{47}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{all 4 days summed up}}{\cfrac{67}{4}+\cfrac{47}{4}}\implies \cfrac{67+47}{4}\implies \cfrac{114}{4}\implies \cfrac{57}{2}\implies 28\frac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B16%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B16%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B67%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B12%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B12%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B47%7D%7B4%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Ball%204%20days%20summed%20up%7D%7D%7B%5Ccfrac%7B67%7D%7B4%7D%2B%5Ccfrac%7B47%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B67%2B47%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B114%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B57%7D%7B2%7D%5Cimplies%2028%5Cfrac%7B1%7D%7B2%7D)
Answer:
y=5
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula then you can solve for slope/intercept form
Tip: If the slope is 0 the equation is going to be y= the y of your original point (-2,5)
Answer:
2.17
Answer and Explanation:
The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...
Answer: 9.2 years
Step-by-step explanation:
Given the following :
Mean(m) = 11.7 years
Standard deviation (s) = 1.2 years
Recall the z-score formula :
Z = (x - m) / s
We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.
2% = 0.02
0.02 falls most closely to 0.02018whuch is under - 2.05.
Using the z-score value in the formula above :
-2.05 = (x - 11.7) / 1.2
Cross multiply
(-2.05 × 1.2) = x - 11.7
-2.46 = x - 11.7
x = - 2.46 + 11.7
x = 9.24 years
Answer:

Step-by-step explanation:
Parallel lines cut by a transversal are two lines which do not cross intersected by a third line. Because lines such as m and n are parallel, we have angles which are equal to each other.
- Corresponding Angles - angles located in the same position in each intersection. Can be shown by translating or sliding the angle down/up.
- Alternate Interior Angles - angles located inside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
- Alternate Exterior Angles - angles located outside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
- Vertical angles - angles across a vertex from one another. Can be shown by reflection.
The angles shown here are located outside the parallel lines and across the transversal from each other. Therefore we have Alternate Exteroir angles and can set them equal to each other to solve for x.

We check our work and should get equal angles:
