Answer:
There is significant difference between the proportions
Step-by-step explanation:
Given that the two statistics classes were asked if A Christmas Story is the best holiday movie.
Class I II Total
n 40 50 90
x 30 45 75
p=x/n 0.75 0.90 0.8333
H0: p1 =p2
H0: p1 ≠p2
(Two tailed test at 5% level)
p difference = -0.15
STd error for difference =
Z statistic = p difference/std error
=-4.0246
p <0.00001
Since p <0.05 we reject H0. There is significant difference between the proportions
At 0.01 level also p is less than alpha So same conclusion
The volume of the concrete block = volume of cuboid - volume of cylinder = 22,476.11 cm³.
<h3>What is the Volume of a Cylinder?</h3>
Volume of cylinder = πr²h, where h is the height of the cylinder and r is the radius.
What if the Volume of a Cuboid?
Volume of a cuboid = length × width × height
Thus:
The volume of the concrete block = volume of cuboid - volume of cylinder
= length × width × height - πr²h
Substitute
= 90 × 15 × 20 - π × 4² × 90
= 27,000 - 4,523.89
= 22,476.11 cm³
Therefore, the volume of the concrete block = volume of cuboid - volume of cylinder = 22,476.11 cm³.
Learn more about volume of cylinder on:
brainly.com/question/9554871
If your solving for z, z=-17x^2-10y
Inconsistent system of equation consists of equations whose graphs do not intersect (they are parallel lines) and there is no solution.
Dependent system of equations consists of equations that are same (their graph is the same) but written in different form.
Let us analyze the equations:
5x+<span>10y+15z=60 (1)
</span>2x+4y+6z=60 (2)
<span>x+2y+3z=60 (3)
We can divide the first one by 5 </span><span>to obtain the same left side as in equation (3), and to see if they are dependent:
x+2y+3z=12
</span>which is not the same as <span>x+2y+3z=60.
</span>They are not dependent (they are independent).<span>
We can divide the second one by 2 to obtain the same left side as in equation (3), and to see if they are dependent:
</span><span>x+2y+3z=30 (2) divided by 2
which is not the same as </span><span>x+2y+3z=60. They are not dependent (they are independent).
The graphs of the three functions are parallel so, they are inconsistent.
Solution: inconsistent and independent
</span>
The believe the answer is 1085.78. i apologize if it’s wrong.