Answer:
height = 6 mm
Step-by-step explanation:
The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.
The height of the prism can be solved as follows.
Volume of the rectangular prism = Bh
where
B = base area
h = height
Volume = 144 mm³
B = 24 mm²
volume = Bh
144 = 24 × h
144 = 24h
divide both sides by 24
h = 144/24
h = 6 mm
Answer:
x=-8 x=-12
Step-by-step explanation:
Divide 3 to both sides
|x+10|=2
Set x+10 to equal 2 and -2
x+10=2 x+10=-2
solve both equations
x=-8/-12
Answer:
x=-17/5
Step-by-step explanation:
1. Simplify -6x-3x+4+4x−6x−3x+4+4x to -5x+4−5x+4.
21=−5x+4
2. Subtract 44 from both sides.
21−4=−5x
3. Simplify 21-4 to 17.
17=-5x
4. Divided both sides by -5.
-17/5=x
5. Switch sides.
x=-17/5
Hope this helps.
Answer:
0 and - 13/15
Step-by-step explanation:
this question is incomplete, the complete question is:
1. is this model effective
2. what is the correlation coefficient for this data.
3. for a student with a bmi of 25, what is the predicted number of hours under the influence.
Step-by-step explanation:
1. first of all this model is not effective because we have r² as 0.134. this tells us that only 13.4 percent of the of the variations that exist in this data has been explained by the model
1. we get the correlation coefficient by

the regression slope coefficient has a negative sign. this is what we would use in calculating the correlation coefficient.

= -√0.134
= -0.366
therefore the correlation coefficient is -0.366
2. to get the number of hours under the influence with a bmi of 25
the equation is
49.2-1.15bmi
= 49.2-1.15(25)
= 49.2-28.75
= 20.45