Answer:
37 degrees
Step-by-step explanation:
The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees
Answer:
3 boxes
Step-by-step explanation:
First, we need to find the area of the whole square, so we can find out how much to subtract from. We can easily do this by multiplying 16 by 16, since it is a square.
16*16=256 square feet.
Now, we just need to find the area of the circular rug, and subtract it from 256 to find the area not covered by the rug that needs to be tiled. Since the sides of the rug touch each side of the floor, than the diameter will be the same as the side length of the square. Thus, the diameter is 16.
Now we can use the equation <em>A=pir^2 </em>or <em>Area=pi*radius squared</em> to find the area of the circle. The radius is halve of the diameter, so divide 16 by 2 to get the radius, or 8. Now all we have to do is square 8 and multiply it by 3.14.
8^2=64
Now multiply.
64*3.14=200.96.
The area of the circle is 200.96, so subtract 200.96 from 256.
256-200.96=55.04.
So they will need 3 boxes to cover the area left.
Hope this helps!
Answer:
(8+t)^2-6 when t=2
Step-by-step explanation:
1: (8+2)^2-6
2: (10)^2-6
3: 100-6
4: 94
D because you can just take the 0. off of 0.18!
Answer:
0.284
Step-by-step explanation:
To carry out this calculation, we begin by describing the sampling distribution of the sample proportion.
The sample size is n = 50 and the population proportion of teachers who made an apparel purchase is 0.56.
Shape: Because np = (50)(0.56) = 28 and n(1 – p) = (50)(0.44) = 22 are both at least 10, the shape of the sampling distribution of the sample proportion is approximately Normal.
Center:
μ
p
^
=
p
=
0
.
5
6
μ
p
^
=p=0.56
Variability: The standard deviation of the sample proportion is approximately
(
0
.
5
6
)
(
0
.
4
4
)
5
0
≈
0
.
0
7
0
2
50
(0.56)(0.44)
≈0.0702.
P(
p
^
p
^
> 0.6) = Normalcdf(lower: 0.6, upper: 1000, mean: 0.56, SD: 0.0702) = 0.284.
P
(
p
^
>
0
.
6
)
=
P
(
z
>
0
.
6
−
0
.
5
6
0
.
0
7
0
2
)
=
P
(
z
>
0
.
5
7
)
=
1
−
0
.
7
1
5
7
=
0
.
2
8
4
3
P(
p
^
>0.6)=P(z>
0.0702
0.6−0.56
)=P(z>0.57)=1−0.7157=0.2843
