Answer:
In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.
Step-by-step explanation:
Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:
305 + 121 + 74 = 500
500 = 100
305 = X
305 x 100/500 = X
30,500 / 500 = X
61 = X
500 = 100
121 = X
121 x 100/500 = X
12,100 / 500 = X
24.2 = X
100 - 61 - 24.2 = X
39 - 24.2 = X
14.8 = X
Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.
Answer:
The watch is cheaper in Geneva, Switzerland by a value of £20
Step-by-step explanation:
To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.
Since pounds is also used in the b part of the question, it would be easier working with it.
In Geneva, the price of the watch is 193.75 CHF
from our conversion formula;
£1 = 1.55 CHF
£x = 193.75 CHF
We cross multiply to get the value of x
(193.75 * 1)/1.55
= 193.75/1.55 = £125
We can see that the watch costs less in Geneva and higher in Manchester
By how much is it cheaper?
We can calculate this by subtracting the value in Geneva from the value in Manchester
That would be 145-125 = £20 cheaper
Answer:
Line UM.
Step-by-step explanation: you can name a line by naming at least two points on it.
Answer:
Rate of change/slope: 35
Miles at 10 hours: 350
Step-by-step explanation:
We can find the rate of change or the slope by using the slope formula below:
m = (y2-y1)/(x2-x1) where m is the slope
To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)
m = (140-70)/(4-2)
m = 70/2
m = 35
The rate of change is 35 miles per hour
To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).
y = mx + b
70 = 35(2) + b
70 = 70 + b
b = 0
So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:
y = 35(10)
y = 350
The number of miles at 10 hours is 350 miles
