Answer: A. z = -2.57
Step-by-step explanation:
Let p be the population proportion of people polled favor the incumbent.
As per given , we have

Sample size : n= 1030
sample proportion : 
Test statistic for proportion : 

Hence, the test statistic is z = -2.57 .
Thus , the correct answer is A. z = -2.57 .
<h3>
Answer: 803.1 m^3</h3>
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Work Shown:
d = 8.4 is the diameter
r = d/2 = 8.4/2 = 4.2 is the radius
h = 14.5 is the height
V = pi*r^2*h = volume of cylinder
V = pi*(4.2)^2*14.5
V = pi*255.78
V = 255.78pi = exact volume in terms of pi
V = 255.78*3.14
V = 803.1492
V = 803.1 ... round to one decimal place
The units for the volume are in cubic meters which we can abbreviate as "m^3"
Answer:
K= 16.5 gallons per minute
Step-by-step explanation:
Time t (minutes) Water g (gallons)
For t= 1, g= 16.50,
for t= 1.5 ,g= 24.75
For t= 2,g= 33
Let the function be
Gallons g= k(time t)
Where k is the constant of proportionality
16.5= k(1)for when t= 1
24.75= k(1.5) ..for when t= 1.5
Solving gives
8.25=k(0.5)
8.25/0.5= k.
16.5 = k
K= 16.5 gallons per minute
Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
Answer:
B, D, F, and H
Step-by-step explanation:
You substitute in each of the numbers for x and see if it equals one of the values in the range. {-37, -25, -13, -1}
A) -6(1)+11=-5 NO
B) -6(2)+11=-1 YES
C) -6(3)+11=-7 NO
D) -6(4)+11=-13 YES
E) -6(5)+11=-19 NO
F) -6(6)+11=-25 YES
G) -6(7)+11=-31 NO
H) -6(8)+11=-37 YES
So the ones to select are B, D, F, and H.