Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as
The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8
Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)
9514 1404 393
Answer:
$62.74
Step-by-step explanation:
The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.
The future balance due to a series of payments is given by ...
A = P(n/r)((1 +r/n)^(nt) -1)
where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.
You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P
P = A(r/n)/((1 +r/n)^(nt) -1)
P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74
A monthly payment of $62.74 is required.
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45
Answer:
Force F = 60 ×10⁻⁵ N
Step-by-step explanation:
Given that mass of the given object (m) = 30 grams
Given that the acceleration
a = 2 m/s²
<u><em>Force:-</em></u>
The push or pull on an object with mass that causes it to change its velocity
- Force can make a body that is rest to move
- it can accelerate the speed of a moving body
<u><em>Formula for force</em></u>
The formula for force F = m a
F = 30 × 2
F = 60 gm/s²
F = 60 ×10⁻⁵ N (∵ 1 d y n = 1gm² = 10⁻⁵N
<h3>Answer : 60°</h3>
<h3>Way to do </h3>
#look pic for detailed info
180° - 125° = 55°
180° - 115° = 65°
180° - 55° - 65° = 60°
180° - 60° = 120°
180° - 120° = 60°
