Answer: find the answers in the explanation.
Step-by-step explanation:
Given that the predicted Number of Text Messages Sent = 60 – 0.8 • Age
Where the slope = - 0.8
The intercept = 60
1) the slope of the least regression line is -0.8
2.) The unit of the slope of the line is text per year
3.) Therefore, the slope of the line tells you that for every year older the smart phone user is, you can expect a typical average in text messages sent of - 0.8
4.) The y - intercept of the least square regression line is 60
5.) The unit of the y - intercept of the line are text sent
6.) The y - intercept of the line tells you the starting point. The first number of text messages sent.
Answer:
Option E: 24.
Step-by-step explanation:
When Caleb (C) has 20 more books than Danica (D), we have:
(1)
Now, when Caleb gives Danica half of his books:
(2)
Danica will have 4 more books than Caleb, so:
(3)
Also we have that:
(4)
By entering equation (2) and equation (3) into equation (4) we have:
(5)
From (1) we have:
(6)
By entering (6) into (5):
And, from (6):
Therefore, the correct option is E, Caleb had to start with 24 books.
I hope it helps you!
Answer: the system of equations are
x + y = 35
3x + 2y = 100
Step-by-step explanation:
Let x= the number of short answer questions.
Let y= the number of multiple choice questions.
Noah wants 35 questions on the exam. This means that
x + y = 35
He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points
Since the exam is worth 100 points, then,
3x + 2y = 100 - - - - - - - -1
Substituting x = 35 - y into equation 1, it becomes
3(35 - y) + 2y = 100
105 - 3y + 2y = 100
y = 105 - 100 = 5
x = 35 - y = 35 - 5
x = 30
Answer:
Therefore,
![r=\sqrt[3]{\frac{3V}{4\pi }}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D)
is the required r
Step-by-step explanation:
Given:
Volume of inside of the sphere is given as
where r is the radius of the sphere
To Find:
r =?
Solution:
We have
......Given
![3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}](https://tex.z-dn.net/?f=3%5Ctimes%20V%3D4%5Cpi%20r%5E%7B3%7D%20%5C%5C%5C%5C%5Ctherefore%20r%5E%7B3%7D%3D%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%20%5C%5C%5C%5C%5Ctherefore%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%7D%20%5Ctextrm%7Bwhich%20is%20the%20expression%20for%20r%7D)
Therefore,
is the required r
