Answer:

And for this case we want to test the following hypothesis:
Null hypothesis: 
Alternative hypothesis: 
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000
Step-by-step explanation:
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is already calculated as:

And for this case we want to test the following hypothesis:
Null hypothesis: 
Alternative hypothesis: 
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000
9514 1404 393
Answer:
k = -2
Step-by-step explanation:
The determinant can be formed by subtracting up-diagonal products from down-diagonal products:
(x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3
= 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3
= -2(x^3 +y^3)
The value of k is -2.
When comparing decimals, start in the tenths place. The decimal with the biggest value there is greater. If they are the same, move to the hundredths place and compare these values. If the values are still the same keep moving to the right until you find one that is greater or until you find that they are equal.
Answer:
The answer is below
Step-by-step explanation:
a) Cost of hiring the bicycle for 14 days is:
Cost = 65 * 14 days + 44 = 954 riyals
b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:
Cost of bicycle = 65 * x + 14 = 65x + 44
Cost of helmet = 12.5 * x = 12.5x
Total cost = 65x + 44 + 12.5x = 77.5x + 44
Since 750 riyals is available, hence:
750 = 77.5x + 44
77.5x = 706
x = 9.11
Therefore the maximum number of days is 11. The total cost for 11 days is:
Total cost = 77.5(9) + 44 = 741.5 riyals
Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals