Answer:
The slope of the line is 1.
Step-by-step explanation:
To solve this problem, we should use the equation for slope, which is given below:
slope = m = (y2-y1)/(x2-x1)
We can now plug in two points that are given in the table.
slope = m = (9-5)/(9-5)
We can simplify our expression for slope by first computing the subtraction inside the parentheses.
slope = m = 4/4
If we simplify the expression further by dividing the numerator by the denominator, we get:
slope = m = 1
Therefore, the correct answer is slope = 1.
Hope this helps!
Answer:
The answer is StartFraction 27 Over 1000 EndFraction or 
Step-by-step explanation:
We have here a fraction. In this case, the <em>numerator</em> and the <em>denominator</em> of the fraction must be <em>cubed</em>, that is, both, the <em>numerator</em> and the <em>denominator</em> must be <em>raised</em> to the <em>same exponent</em>, in this case 3 (cubed).
In general, for fractions, this is the general rule that we must to follow to raise some fraction to any exponent.
In the case concerning this question, we have




So, the value of
.
Answer:
The image is (-18,0)
Step-by-step explanation:
Here, we want to find the image of the given point after dilation by the given scale factor
Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;
(kx , ky)
Applying this in the given scenario, we have
(2(-9) , 2(0))
= (-18,0)
Answer 3 is (0, 5)
Answer 4 is in comments.
Answer:

Step-by-step explanation:
Since we have given that
A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes.
Since we need to carry out a hypothesis test whether he can refute the claim.
We always take the alternate hypothesis such that it should satisfy the given statement.
And the null hypothesis can be equal to mean or other than that is given in alternate hypothesis.
So, hypothesis :
