Answer: The correct choice is B. Step-by-step explanation:
Answer:
The length AB equals length TU.
Step-by-step explanation:
Procedure: Replicate angle <QPR so that;
<QPR matches <TSU
Set the compass so that each leg touches points A and B to replicate the distance AB.
Next, position the compass at T to draw an arc that marks point U. Draw a straight line from S to U.
Consequently,
<QPR is congruent to <TSU
This method guarantees that angles are congruent by maintaining the same radius, thus AB = TU.
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
(1)
Where
c)
d) In this scenario, we notice that
thus the conclusion for this case would indicate
Step-by-step explanation:
Information provided
denote the number of men possessing smartphones
signify the number of women possessing smartphones
group of men sampled
group of women sampled
symbolize the proportion of men with smartphones
symbolize the proportion of women with smartphones
denote the pooled estimate of p
z would denote the test statistic
signify the value
Part a
The objective is to evaluate if there is a disparity in smartphone ownership between men and women; the hypothesis statements would be:
Null hypothesis:
Alternative hypothesis:
Part b
The statistic relevant to this case is expressed as:
(1)
Where
Part c
By substituting the provided information, we find:
Part d
In this instance, it is evident that
thus the conclusion for this case would seem
The watch is less expensive in Geneva, Switzerland by £20. Step-by-step explanation: To identify the city where the watch is cheaper, we need to convert the watch's price to the same currency. Since pounds are utilized in part b of the question, using this currency would simplify the calculations. In Geneva, the watch's price is 193.75 CHF from our conversion: £1 = 1.55 CHF, thus, £x = 193.75 CHF. By cross-multiplying, we solve for x: (193.75 * 1) / 1.55 = 193.75/1.55 = £125. This demonstrates that the watch is cheaper in Geneva and more expensive in Manchester. To find out by how much, we simply deduct the Geneva price from the Manchester price: 145 - 125 = £20 cheaper.