Answer:
The value of the test statistic is
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, is the null hypothesis value,
is the standard deviation and n is the size of the sample.
In this problem:
So
The value of the test statistic is
Answer:
30% students
Step-by-step explanation:
Let x be the number of total students of a school.
63% are girls then total number of girls = (0.63)x
37% are boys then total number of boys = ( 0.37)x
Now 23% of girls wear contacts then total number of girls
= (0.63x) × 0.23
= (0.1449x)
And 42% of boys wear contacts then total number of boys wearing contacts
= (0.37x) ( 0.42)
= (0.1554)x
Total students wears contacts = ( 0.1449x) + (0.1554x)
= (0.3003x)
Percentage of students wear contacts = × 100
= × 100
= 30%
All 30% students wear contacts.
Answer:
22) RT ; angles 2 and 4 are alternate interior angles
23) RT ; angles 1 and 3 are alternate interior angles
24) TV; same-side interior angles (some classes called them consecutive interior angles)
25) RV; same-side interior angles (some classes call them consecutive interior angles)
Step-by-step explanation:
The transversal is the a "line" going through at least 2 others helping to form the angles in question.
22) The line segment going through two line segments that contain angles 2 and 4 is:
RT.
Angles 2 and 4 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.
23) The line segment going through at least two line segments that contain angles 1 and 3 is:
RT.
Angles 1 and 3 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.
The cool thing about 24 and 25 is that they give you the transversal in the name of the angle.
24) Angles TVR and VTS are being formed by the line segment TV and the parallel line segments that it intersects. TV is the transversal.
Angles TVR and VTS are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of TV and the parallel lines it goes through.
25) Angles SRV and RVT are being formed by the line segment RV and the parallel line segments that it intersects. RV is the transversal.
Angles SRV and RVT are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of RV and the parallel lines it goes through.
