Answer:
20%
Step-by-step explanation:
20% of 50 is 10, and they spent 10 hours walking.
Answer:
Just getting my points back don’t mind me
Step-by-step explanation:
Using the Pythagorean theorem, the length of line segment FJ is: 42 ft.
<h3>How to Apply the Pythagorean Theorem?</h3>
To find the length of line segment FJ, we need to apply the Pythagorean theorem to find the length of the segment from F to the point, say point O, on FJ where a right triangle FOG will be gotten.
Thus, we have:
FO = √(GF² - GO²)
FO = √(30² - 24²)
FO = 18 ft.
FJ = FO + GH
Plug in the values
FJ = 18 + 24
FJ = 42 ft.
Learn more about the Pythagorean theorem on:
brainly.com/question/654982
#SPJ1
The required plane Π contains the line
L: (-1,1,2)+t(7,6,2)
means that Π is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>
It is also required that Π be perpendicular to the plane
Π 1 : 5y-7z+8=0
means that Π is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.
Thus the normal vector of the required plane, Π can be obtained by the cross product of vl and vp, or vl x vp:
i j k
7 6 2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35>
which is the normal vector of Π
Since Π has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
Π : -52(x-(-1))+49(y-1)+35(z-2)=0
=>
Π : -52x+49y+35z = 171
Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0 ok
Answer:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Step-by-step explanation:
Notation
represent the mean for male king penguins
represent the mean for the female king penguins
represent the sample standard deviation for the sample male
represent the sample standard deviation for the sample female
sample size for the male penguins
sample size for the female penguins
t would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to check if the male king penguins weigh more than female king penguins, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t