A square has 4 equal sides
use pythagroeas theorem since a square has 4 right angles
a^2+b^2=c^2
a=b because the sides are equal (11)
11^2+11^2=c^2
242=c^2
square root both sides
11√2=c
the diagonal legnth is 11√2 centimiters
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
![(x+8)^2 -x^2 = 12^2](https://tex.z-dn.net/?f=%28x%2B8%29%5E2%20-x%5E2%20%3D%2012%5E2)
![x^2 +16x +64 - x^2 = 144](https://tex.z-dn.net/?f=x%5E2%20%2B16x%20%2B64%20-%20x%5E2%20%3D%20144)
![16x+64=144](https://tex.z-dn.net/?f=16x%2B64%3D144)
![16x = 80](https://tex.z-dn.net/?f=16x%20%3D%2080)
![x = 5](https://tex.z-dn.net/?f=x%20%3D%205)
Double check:
![\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13](https://tex.z-dn.net/?f=%5Csqrt%7B12%5E2%20%2B%205%5E2%7D%20%3D%20%285%2B8%29%5C%5C%5Csqrt%7B12%5E2%20%2B%205%5E2%7D%20%3D%2013%5C%5C13%20%3D%2013)
Perimeter:
![12+5+13=30](https://tex.z-dn.net/?f=12%2B5%2B13%3D30)
Area(
):
× 12 × 5 = 30
Each side is equal its in the name. hope this help!!
Answer:
0.2916, 0.1488, 0.0319
Step-by-step explanation:
Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.
Since each trial is independent there is a constant probability for any random car to need oil is 0.10
Let X be the number of cars that need oil
A) Here X is BIN(4,0.1)
![P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916](https://tex.z-dn.net/?f=P%28X%3D1%29%20%3D%204C1%280.1%29%280.9%29%5E3%20%5C%5C%3D%200.2916)
B) Here X is Bin (8, 0.1)
![P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D%208C2%20%280.1%29%5E2%20%280.9%29%5E6%5C%5C%5C%5C%3D0.1488)
C) Here X is Bin (20,5)
![P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319](https://tex.z-dn.net/?f=P%28x%3D5%29%20%3D%2020C5%20%280.1%29%5E5%20%280.9%29%5E%7B15%7D%20%5C%5C%3D0.0319)
Answer:
Part A: 25% of 50 = 12.5
Part B: 25% of 60 = 15
Part C: 50% of 60 = 30
Part D: 75% of 60 = 45
Part E: 75% of 30 = 22.5
Part F: 100% of 22.5 = 22.5
Part G: 10% of 22.5 = 2.25
Part H: 50% of 45.7 = 22.85
Step-by-step explanation:
To find - Do you know the answer to
Part A: 25% of 50 =
Part B: 25% of 60 =
Part C: 50% of 60 =
Part D: 75% of 60 =
Part E: 75% of 30 =
Part F: 100% of 22.5 =
Part G: 10% of 22.5 =
Part H: 50% of 45.7 =
Proof -
Part A :
25% of 50 =
=
= 12.5
⇒25% of 50 = 12.5
Part B :
25% of 60 =
=
= 15
⇒25% of 60 = 15
Part C :
50% of 60 =
=
= 30
⇒50% of 60 = 30
Part D :
75% of 60 =
=
= 45
⇒75% of 60 = 45
Part E :
75% of 30 =
=
= 22.5
⇒75% of 30 = 22.5
Part F :
100% of 22.5 =
= 22.5
⇒ 100% of 22.5 = 22.5
Part G :
10% of 22.5 =
= 2.25
⇒ 10% of 22.5 = 2.25
Part H :
50% of 45.7 =
=
= 22.85
⇒50% of 45.7 = 22.85