Answer:
15
Step-by-step explanation:
If you divide 32 by 2 you will get 16, therefore if you take the number before 16 and the number after 16 and add them together they will still equal 32. 15 + 17 = 32. The smaller number is 15.
Answer:
- No, there is no significant difference between the IQs of the two groups.
- Alternative Hypothesis is that the two groups have different IQs os students.
Step-by-step explanation:
We are provided that IQs of 16 students from one area of a city had a mean of 107 and a standard deviation of 10 while the IQs of 14 students from another area of the city had a mean of 112 and a standard deviation of 8.
And we have to check that is there a significant difference between the IQs of the two groups.
Firstly let, <em>Null Hypothesis, </em><em> : The two groups have same IQs { </em><em> }</em>
<em> Alternate Hypothesis, </em><em> : The two groups have different IQs{ </em><em>}</em>
Since we don't know about population standard deviations;
The test statistics we will use here will be ;
follows t distribution with degree
of freedom { }
Here, = 107 = 112 = 10 = 8
= 16 = 14
= = 9.1261
<em> Test statistics</em> = follows
= -1.50
<em>Now at 1% level of significance t table is giving the critical value of -2.467 and our test statistics is higher than this means it does not fall in the rejection region so we will accept our null hypothesis and conclude that there is no significant difference between the IQs of the two groups.</em>
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Answer:
The symmetric property
Step-by-step explanation:
The symmetric property of equality says we can exchange the sides of an equation and it will still be true..
In symbols, it says
If a = b, then b = a.
Your statement is
If 8x = 5y - 3z, then 5y -3z = 8x
Let a = 8x and b = 5y - 3z and your statement becomes
If a=b, then b=a
It is an example of the symmetric property of equality.
A <em>perpendicular line</em> is a required <u>line</u> that should be <u>drawn</u> at an angle of a given line. Thus some of the similarities that can be <em>observed</em> are:
i. The <em>perpendicular line</em> is at a <u>right angle</u> to the given <u>line</u> in each case considered.
ii. The<em> perpendicular line </em>may not be a <u>bisector</u> of the given line in each case.
iii. The <em>perpendicular line</em> <u>intersects</u> the given line at a point in each case.
A line is said to be<em> perpendicular</em> if it forms a <u>right angle</u> to a given line. Such that it <u>intersects</u> the given line at a point, and an angle is <u>made</u> at that point.
In the given question, the <em>perpendicular lines</em> referred to are not said to be <u>bisectors</u>, thus just at a <em>right</em> angle to a given line. A <em>bisector</em> is a line that <u>cuts</u> a given line into two equal parts.
Therefore, some required <u>similarities</u> between the two lines are:
- The <em>perpendicular line</em> is at a <u>right angle</u> to the given <u>line</u> in each case considered.
- The<em> perpendicular line </em>may not be a <u>bisector</u> of the given line in each case.
- The <em>perpendicular line</em> <u>intersects</u> the given line at a point in each case.
For more clarifications on perpendicular lines to a given line, visit: brainly.com/question/12923440
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