6y - 20 = 2y - 4
6y = 2y + 16
4y = 16
y = 4
Answer:
Null Hypothesis, 
: P = 4.1%
Alternate Hypothesis, 
: P > 4.1%
Step-by-step explanation:
We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.
<u><em>Let p = true percentage of the population that suffers from extreme shyness.</em></u>
So, Null Hypothesis, : P = 4.1%
Alternate Hypothesis, : P > 4.1%
Here, <em><u>null hypothesis states that</u></em> % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.
On the other hand, <u><em>alternate hypothesis states that</em></u> more than 4.1% of the population suffers from professional problems due to extreme shyness.
So, the above hypothesis would be appropriate for conducting the test.
Answer:
a line has one dimension
Step-by-step explanation:
<span>If set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three, then the set X consists of such triples {ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE} (note that triple ABC is the same as triple ACB, or BCA, or BAC, or CAB, or CBA). The set X totally contains 10 elements (triples). The first statement is true.
</span>
<span>If set
Y is made up of the possible ways five students can be formed into
groups of three if student A must be in all possible groups, then </span><span>the set Y consists of such triples {ABC, ABD, ABE, ACD, ACE, ADE} and contains 6 elements. The second statement is also true.
</span>
<span>If person E must be in each group, then there can be only one group is false statement, because you can see from the set X that triples which contains E are 6.
</span>
<span>There are three ways to form a group if persons A and C must be in it. This statement is true and these groups are ABC, ACD, ACE.</span>
