Answer:
The degrees of freedom are given by:
the p value for this case would be given by:
For this case we see that the p value is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2564 mm
Step-by-step explanation:
Information given
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value
Hypothesis to test
We want to check if the true mean is equal to 2564 mm, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing we got:
The degrees of freedom are given by:
the p value for this case would be given by:
For this case we see that the p value is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2564 mm
Answer: lemon cremes contain 70 calories. fudge cookies contains 95 calories
Step-by-step explanation:
Let x represent the amount of calories in lemon cremes.
Let y represent the amount of calories in fudge cookies.
Three lemon cremes plus two fudge cookies have 400 calories. This means that
3x + 2y = 400 - - - - - -- - - - -1
Two lemon cremes plus three fudge cookies have 425 calories. This means that
2x + 3y = 425- - - - -- - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 4y = 800
6x +9y = 1275
Subtracting,
-5y = - 475
y = - 475/- 5
y = 95
Substituting y = 95 into equation 1, it becomes
3x + 2×95 = 400
3x = 400 - 190 = 210
x = 210/3 = 70
x = 70
Answer:
0.0002077
Step-by-step explanation:
The number was 2.077 before.
And 10^-4 = 0.000
(meaning it's FOUR zeros so add that BEHIND the number especially if its a negative number)
so, it's 0.0002077
Answer:
5/9
Step-by-step explanation:
If you draw the triangle out on a grid papar and draw a line across the 2 marker point from XY up of the YZ side, you will see that the line from that marker point across to the hypotenuse is actually 8. Then you find the area of the little triangle with legs 8 and 4 (since 6-2 is 4), and the area is 16. After that, find the total area of the big triangle, which is 12x6/2=36. Since we want to know the area of the quadrilateral at the bottom of the big triangle seperated by the 2 marker point, we subtract 16 from 36, which equals to 20. 20/36=5/9. And that is my final answer. I tested it and it is correct. I hope this helps.