The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12
Answer:
No. Operations manager cannot conclude that his mail-order business is achieving its goal.
Step-by-step explanation:
We make hypothesis test about the manager's assuption:
Null hypothesis, : Average number of days to fill customers' orders is six or less
Alternate Hypothesis: : Average number of days to fill customers' orders is more than six.
According to the null hypothesis we assume number of days to fill customers' orders follows a normal distribution with mean 6 and standard deviation 1.5. We would test if the sample mean is in the critical field or not in the given significance level.
One tailed critical value for the significance level 0.025 is 1.96. We'll compare this value with the z-score of the sample mean 6.65, which is calculated as:
z= ≈ 2.74 where
- 6,65 is the sample mean
- 6 is the null hypothesis
- 1.5 is the standard deviation
- 40 is the sample size
Since 2.74>1.96, we can conclude that sample mean is in the critical region, we reject the null hypothesis.
Therefore operations manager can conclude that average number of days to fill customers' orders is more than 6 days.
Answer:
Step-by-step explanation:
a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.
The functions f(x) and g(x) are different, the y-intercepts for each function is y-intercepts (0,-1/3) for f(x)= 1/x-3 and y-intercepts (0,0) for g(x) as shown on the graph.
b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.
The functions f(x) and g(x) have different Vertical Asymptotes, f(x)= 1/x-3 Vertical Asymptotes is x = 3 while g(x) as shown on the graph Vertical Asymptotes is x = 4. Both functions do have Horizontal Asymptotes that are the same y = 0
Answer:
823543
Step-by-step explanation:
7 times 7 times 7 times 7 times 7 times 7 times 7 times 7 times = 823543
you have to multyply 7*7 8 times
The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;brainly.com/question/17671517