Answer:
Test statistic |Z| = 0.1040 < 1.96 at 0.05 level of significance
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized
First proportion

Given that a report on the nightly news broadcast stated that 20 out of 208 households without pet dogs were burglarized
Second proportion

where

P = 0.09486
Q = 1 - P = 1 - 0.09486 = 0.90514
<u><em>Step(ii):-</em></u>
Test statistic


Z = -0.1040
|Z| = |-0.1040|
|Z| = 0.1040
Critical value Z = 1.96 at 0.05 level of significance
The length of AB will be 10 units. Option B is corect. The formula for the distance between the two points is applied in a given problem.
<h3>What is the distance between the two points?</h3>
The length of the line segment connecting two places is the distance between them.
The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)=(-2,-4)
(x₂, y₂)= (-8, 4)
The distance between the two points is found as;

Hence, option B is corect.
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The situation would come as follows: "Does Andrew make more money than Laura?"
The question can only be answered with a yes or no. Which does not generate any statistics because they are characterized by having an inherent variability in the data used to answer the question. And in this question there is no variability since if you earn more money or not because they are focused on itself, there is a positive or negative side and from there there is no variation.
Therefore NOT a statistical question.
The rule for multiplying similar bases with exponents is:
(a^b)*(a^c)=a^(b+c)
In this case you have:
(x^9)(x^2)
x^(9+2)
x^11
The digits base is 7 then we should convert them into base 6.
The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logbn.
Here the conclusion is that there are many bases in the mathematics so what will happen is that we should convert these bases. For example, we have to convert base 10 of a number which is called decimal number can be converted into binary number whose base is 2 and after then if the digits base is 7 then we should convert them into base 6.
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