Angle Z is greater than angle Y.
I hope this helps you! I'm not the best at this kind of stuff!
xo Leafling
Answer:
0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle
Step-by-step explanation:
We are given the following information:
We treat people carrying at least 1 reusable water bottle as a success.
P(people carry at least 1 reusable water bottle) = 29% = 0.29
Then the number of people follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 5
We have to evaluate:
0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle
<span>5.1 </span> Find the Vertex of <span>y = x2-2x-15
</span>Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).<span>
</span>Each
parabola has a vertical line of symmetry that passes through its
vertex. Because of this symmetry, the line of symmetry would, for
example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span>
</span>Parabolas
can model many real life situations, such as the height above ground,
of an object thrown upward, after some period of time. The vertex of the
parabola can provide us with information, such as the maximum height
that object, thrown upwards, can reach. For this reason we want to be
able to find the coordinates of the vertex.<span>
</span>For any parabola,<span>Ax2+Bx+C,</span>the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000 <span>
</span>Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :<span>
</span><span> y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 15.0
</span> or <span> y = -16.000</span>
It looks like everyone's amount of money is based on Maria's amount of money. Let's say Maria is M, Hans is H and Dan is D. Maria has M amount of money. If Hans has 10 more than Maria, he has M+10. If Dan has 3 times what Hans has and Hans has (M+10), then Dan has 3(M+10) which is 3M+30. Altogether they have 95 dollars. So we will add up what they have and set it equal to 95. M+10+M+30+3M=95. That simplifies to 5M+40=95 and 5M=55. Therefore, Maria has 11 dollars. Hans has 10+11=21, and Dan has 3(21)=63. 11+21+63=95
