Step-by-step explanation:
Given:
x = 26214.47
s = 5969.25
n = 15
t = 2.046
The confidence interval is:
CI = x ± t (s / √n)
CI = 26214.47 ± 2.046 (5969.25 / √15)
CI = (23061.06, 29367.88)
Answer:
D. There is no x value as there is no solution to this system
Step-by-step explanation:
2x − 3y = 3 5x − 4y = 4
5x - 4y = 4 -4y = -5x + 4 y = 5/4x - 1
2x - 3(5/4x - 1) = 3
2x - 15/4x + 3 = 3
-7/4x = 0
x = 0
Answer:
The graph is attached below.
Step-by-step explanation:
The volume of the box containing the coffee mugs is,

Then the function representing the side length, in inches, for the box is:

Now, it is provided that the company decides to double the volume of the box.
That is, the new volume will be:

Then the side length, in inches, for the box will be:
![g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x](https://tex.z-dn.net/?f=g_%7Bn%7D%28x%29%3D%5Csqrt%5B3%5D%7B2x%5E%7B3%7D%7D%20%3D%5Csqrt%5B3%5D%7B2%7Dx)
Then the graph representing the function, formed using the following points is:

So we are starting out with 30 messages.
If 1/5 of the messages Lily receives are picture messages, then take 1/5 x 30 to find out how many that is.
1/5 x 30 = 30/5 = 6. So Lily receives 6 picture messages.
If 7/8 of the remaining messages are texts, then we need to find the number of remaining messages. If 6 are pictures and she receives 30 overall, then 30 - 6 = 24, the remaining number of messages. Since we know 7/8 of <em>this </em>number is the number of texts Lily received, let's do some more multiplication:
7/8 x 24 = (7 x 24)/8 = 168/8 = 21.
So Lily received 21 text messages, 6 picture messages, and 3 of something else!