Answer:
Range values are:
{-11, 1, 4, 10, 25}
Step-by-step explanation:
Domain values are the possible x values that can be entered into the function, or the inputs. Range values are the y values, or the outputs. By inserting every value in the set into the function, we get the outputs (y values)
-15 + 4 = -11
-3+4 = 1
0 + 4 = 4
6 + 4 = 10
21 + 4 = 25
Remember to put them in order.
Answer:
Step-by-step explanation:
80 x 4 = 79+81+77+x
320=237 + x
320-237 = x
83=x
so Marianne must score 83 points or higher on her last test
Answer:
<h3>9.9s</h3>
Step-by-step explanation:
First note that the river is on the ground level. The height of the river at the ground level is 0
Given the the height h above the river in feet of water going over the edge of the waterfall is modeled by h(t)=-16t^2+1552
When h = 0
0 = -16t^2+1552
16t^2 = 1552
t² = 1552/16
t² = 97
t = √97
<em>t = 9.9secs</em>
<em>Hence the time it takes is 9.9secs to the nearest tenth</em>
<span>1) 3x-2=x+10
</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x -x
</span><span>
</span><span>3x - x = 2x 2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2 The inverse operation helps isolate the variable.
<span>
2x = 12
2x/2 = 12/2
x = 12/2
x = 6</span><span>
Answer: x = 6
2) x + 4 = 19 - 2x </span>
We can solve this much faster
x + 4 = 19 - 2x
+2x
x+2x = 3x
3x + 4 = 19
-4 -4
19-4 = 15
3x= 15
3x/3 = 15/3
x= 5
Answer: x = 5
3) <span>8x - 20 = x + 15
Much faster now!!
8x - 20 = x + 15
-x
8x-x = 7x
7x - 20 = 15
+20 +20
15+20 = 35
7x = 35
7x/7 = 35/7
x = 35/7
x = 5
Answer: x= 5</span>
Answer: The professor was not accurate with his hypothesis.
Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternate hypothesis: At least one proportion of the student will differ from the others.
Step-by-step explanation: To check if the professors hypothesis were inaccurate.
What percentage of student bought a hard copy of the book.
(25 ÷ 200) × 100 = 12.5%
What percentage of the student printed it from the web.
(85 ÷ 200) × 100 = 42.5%
What percentage of the students read it online.
(90 ÷ 200) × 100 = 45%
This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.
Therefore; the null hypothesis are
P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternative hypothesis will state that at least one of the proportion will be different from the others.
