To find the value of z in triangle XYZ, we can utilize the law of sines. We know the following:
1. The measure of angle XYZ is 51 degrees.
2. The measure of angle YZX is 76 degrees.
3. The length of side XZ is 2.6 units.
From these angles, angle XZY can be calculated, and then we can apply the law of sines to determine z.
Thus, we proceed to solve for z using the sine relationship in the triangle.
We will round the result to one decimal place.
To determine the future value of an initial amount of $845 at an interest rate of 11.3% over 7 years, we will utilize the compound interest formula, which is expressed as:
A=p(1+r/100)^n
where:
A=future value
r=rate=11.3%=0.113
time=7 years
Hence, the future value of the capital will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82
We start with the following information:
p = probability = 0.12<span>
n = total number of students = 39 </span>
x = number of left-handers = 5<span>
u = mean = p * n = 4.68
σ = standard deviation = √(n*p*(1-p)) = √(39 * 0.12 * 0.88) =
2.03</span>
Finding the z score:
z = (x – u) / σ
<span>
z = (5 – 4.68) / 2.03
</span>
z
= 0.1576 = 0.16
<span>
</span>Applying standard tables for z gives the p value as:
p value = 0.5636 = 56.36%
Consequently, there is a 56.36% probability.
Answer:
14.2 hectares
Step-by-step explanation:
Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)
The Geometric growth formula is
(Pt/ Po)^1/t
Where Pt = Size after t years = 4.01 hectares
Po = Initial size = 1.13
t = time = 1
=( 4.01/1.13 )^1/1
= 3.5486725664
Thus, the geometric growth rate is 3.5486725664.
The area they will occupy in hectares after one more year = Current area × Geometric growth rate
= 4.01 ×3.5486725664
= 14.230176991 hectares
Approximately equal to 14.2
Answer:
dV(t)/dt = kV(t)
Step-by-step explanation:
The annual change in the car's value, represented by dV(t)/dt, has a proportional relationship with V(t), the car's current value.
dV(t)/dt ∝ V(t)
dV(t)/dt = kV(t)
