1. false because they have the same slope and y-intercept so they have infinite number of solutions
2. true
Answer:
36.2
Step-by-step explanation:
Assuming that the dotted line is a perpendicular bisector, we can say that it splits the side that is 30 units long into 2 sets of 15 units. Then, we can use the pythaogrean theorem to solve (Leg A is 33 and Leg B: 15). a^2+b^2=c^2
33^2+15^2=c^2
1089+225=c^2
1314=c^2
Square root of 1314 = square root of c^2
36.2 aapproximately c
Answer with explanation:
⇒A segment ,
is equivalent to
.
⇒We can assert this by this way, if Distance between Two points A and B is 6 unit, then Distance between B and A will be 6 unit also.
So,
![\bar{FM}=\bar{MF}](https://tex.z-dn.net/?f=%5Cbar%7BFM%7D%3D%5Cbar%7BMF%7D)
FM−→−⇒MF−→−
Option A
Answer:
14.81% probability an individual large-cap domestic stock fund had a three-year return of at least 19%
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 0.144, \sigma = 0.044](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.144%2C%20%5Csigma%20%3D%200.044)
What is the probability an individual large-cap domestic stock fund had a three-year return of at least 19%
This is 1 subtracted by the pvalue of Z when X = 0.19. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{0.19 - 0.144}{0.044}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B0.19%20-%200.144%7D%7B0.044%7D)
![Z = 1.045](https://tex.z-dn.net/?f=Z%20%3D%201.045)
has a pvalue of 0.8519
1 - 0.8519 = 0.1481
14.81% probability an individual large-cap domestic stock fund had a three-year return of at least 19%