Answer:
g/cm²
Step-by-step explanation:
First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3
B = 100 cm²
h = 6 cm
V = 100 cm² * 6 cm /3
V = 600 cm³ /3
V = 200 cm³
Next, we need to solve for the density based on the desired volume and mass.
m = mass = 300 g
V = volume
density = m/V
density = 300 g / 200 cm³
density = 3/2 g/cm³
The lowest possible density of the material to make the paperweight would be g/cm²
Answer: 0.8461
Step-by-step explanation:
Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.
As per given , we have p=0.40
A random sample is taken with size : n= 400
Expecting sample proportion :
Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :
[By z-table]
Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .
Answer:
{3,-1}
Step-by-step explanation:
m^2 -2m -3=0
What 2 numbers multiply to -3 and add to negative 2
-3* 1 = -3
-3 +1 =-2
(m-3) (m+1) =0
Using the zero product property
m-3 = 0 m+1 =0
m=3 m=-1
{3,-1}
Yea i have no clue how she can be like a
Answer:
39 degrees
Step-by-step explanation:
- by seeing the diagram in the attachment, we can see that the angles UWV and VWX are on straight line or, their sum makes 180 degrees.
- we also know that sum of the angles in a triangle is 180 degrees.
by using the first statement,
UWV + VWX = 180
UWV + 6x-3 = 180
UWV = 180+3-6x
= 183-6x
by using second statement,
UWV+WVU+VUW=180
substituting the values,
183-6x+2x+5+x+13=180
201-3x=180
substracting 180 from both sides,
21=3x
dividing both the sides by 3,
7=x
the angle VWX=6x-3
substituting 7=x,
VWX=6(7)-3= 39.