Answer:
a) WS, ZV, YU
b) VU
c) ZW
d) WXY
e) None
f) TU, TV, UV, XY, XZ, YZ
g) SW, VX, VZ, WX, WZ, YZ
Step-by-step explanation:
A prism is a polyhedron that has:
- Two bases that are congruent and parallel to each other.
- Lateral sides that are parallelograms and link the two bases.
- Height that is the distance between the two bases.
From inspection of the give diagram, the figure appears to be a quadrilateral prism with bases STUV and WXYZ.
<u>Parallel line segments</u>
- Parallel line segments lie on parallel lines.
- Parallel lines are lines on a plane that <u>never meet</u> and are the <u>same distance apart</u>.
a) Segments parallel to XT:
b) Segments parallel to ZY:
c) Segments parallel to VS:
<u>Planes</u>
- A plane is a flat, two-dimensional surface that extends into infinity.
- A plane can be named by the letters naming three non-collinear points in the plane.
- Parallel planes are planes that never intersect.
d) Planes parallel to plane STU:
e) Planes parallel to plane UVZ:
<u>Skew lines</u>
Skew lines are a pair of non-coplanar lines that:
- Do <u>not</u> intersect.
- Are <u>not</u> parallel to each other.
f) Segments skew to SW:
g) Segments skew to UT:
267.5
Step-by-step explanation:
cos(87) = 14 ÷ t
=tcos(87) = 14
t = 14÷cos(87)
= 267.5
Answer:
Test statistics = 2.29
P-value = 0.01101
Step-by-step explanation:
We are given that a survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This year a new survey was conducted on a random sample of 200 students from this university, and it was found that 50 of them smoke.
Let Null Hypothesis, 
: p = 0.18 {means that the percentage of students who smoke has remained same at 18% over the last five years}
Alternate Hypothesis, 
: p > 0.18 { means that the percentage of students who smoke has increased over the last five years}
The test statistics used here will be ;
T.S. = 
~ N(0,1)
where, 
= sample proportion of students = 50/200 = 0.25
n = sample size = 200
So, test statistics = 
= 2.29
Now, P-value is given by = P(Z > 2.29) = 1 - P(Z <= 2.29)
= 1 - 0.98899 = 0.01101 or 1.101 %
Therefore, P-value of the test is 0.01101 .
5. The reason you would need 5 cups is simple. For 48 cookies you need 3 cups of flour meaning that 48/3 is 16 cookies PER CUP. In order to find out how many cups is needed for 80 in simple. You found out that 1 cup of flour makes 16 cookies. Divide 80 by 16 (80/16) and you get 5. You would need 5 cups of flour.
