To find it it is
ax^2+bx+c
if the first term (a) is 1 then c=b/2
b=-1/4
(-1/4)/2=-1/4 times 1/2=-1/8
k=-1/8
Answer:
a) 95% confidence interval estimate of the true weight is (3.026, 3.274)
b) 99% confidence interval estimate of the true weight is (2.944, 3.356)
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the mean of five successive weightings (3.150)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME=
where
- t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
- s is the standard deviation of the random error (0.1)
Using the numbers 95% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.124
And 99% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.206
Answer:
(a) 1, 2, 3, 6, 8
Step-by-step explanation:
Given
![Median = 3](https://tex.z-dn.net/?f=Median%20%3D%203)
![Mean = 4](https://tex.z-dn.net/?f=Mean%20%3D%204)
Required
The sequence of hours worked each day
<em>See attachment for options</em>
From the question, we understand that:
![Median = 3](https://tex.z-dn.net/?f=Median%20%3D%203)
This means that, the middle number is 3 (when sorted)
So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively
Next, is to determine the mean of (a) and (d)
The mean of a data is calculated as:
![\bar x = \frac{\sum x}{n}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
So, we have:
(a)
![\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B1%2B%202%2B%203%2B%206%2B%208%7D%7B5%7D)
![\bar x = \frac{20}{5}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B20%7D%7B5%7D)
![\bar x = 4](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%204)
(d)
![\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B1%2B%202%2B%203%2B%204%2B%205%7D%7B5%7D)
![\bar x = \frac{15}{5}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B15%7D%7B5%7D)
![\bar x = 3](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%203)
Option (a) is true, because it has:
![Median = 3](https://tex.z-dn.net/?f=Median%20%3D%203)
![Mean = 4](https://tex.z-dn.net/?f=Mean%20%3D%204)
Answer:
2.5
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic:
ab - 0.5b = (1)(5) -0.5(5) = 5 - 2.5 = 2.5
Respuesta:
25 cm²
Explicación paso a paso:
El área A de un rombo tiene:
A = pq / 2
Donde pyq son las diagonales
Tomando p como la diagonal más grande = 10 cm
Diagonal más pequeña, q = 1/2 * 10 = 5cm
Por lo tanto, el área del rombo es:
A = (10 * 5) / 2
A = 50/2
A = 25 cm²