Let s be the scale factor then:
4s=10 and 6s=15
s=10/4 and s=15/6
s=5/2 and s=5/2
s=2.5
The scale factor is 2.5.
<h2>
The required value of x is equal to 2.</h2>
Step-by-step explanation:
We have,

To find, the value of x in the given equation = ?
∴ 
By crossmultiplication, we get
3(3x) = x + 16
⇒ 9x = x + 16
⇒ 9x - x = 16
⇒ 8x = 16
⇒ x = 
⇒ x = 2
∴ The value of x = 2
Thus, the required value of x is equal to 2.
Answer:
The appropriate answer is "0.0124".
Step-by-step explanation:
Given:
Test statistics,
z = 2.5
By using the z-table,
p value for one tailed test will be:
= 0.0062
For two-tailed test,
⇒ 

Shown below
<h2>
Explanation:</h2>
In this exercise, we have the following system of linear equations in two variables:

From the first equation:

Here as x increases one unit, then y decreases by one unit too. Therefore, if (0, 5) is a point on the line, then (1, 4) is also a point on the line. From here, we know that the line must pass through these two points.
From the second equation:

Here as x increases 4 units, then y increases by one unit Therefore, if (0, 10) is a point on the line, then (4,11) is also a point on the line. From here, we know that the line must pass through these two points.
By using graphing tool, we realize that both graphs intersect at a single point, which is:

The graph is shown below.
<h2>Learn more:</h2>
System of linear equations: brainly.com/question/13799715
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