number of MP3 players: 4500 based on information given, 2 out of 50 MP3 players are defective. this means every 50 samples, 2 would be defective 4500/50 = 90 90 • 2 = 180 so, your final answer would be: 180 MP3 players in the shipment are likely to be defective
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
Answer:
From the given information, the value of a is 3 and the measurement of ∠R is 25°
Step-by-step explanation:
For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.
<em>ΔJKL ≅ ΔPQR</em>
This means that all of the angles and all of the sides of each triangle are going to be equal to each other.
So, knowing this, let;s find the measurement of ∠R first.
All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.
65 + 90 + m∠R = 180
Add 65 to 90.
155 + m∠R = 180
Subtract 155 from 180.
m∠R = 25°
So, the measurement of ∠R is 25°.
Now let's find the value of a.
KL is equal to PQ so we will set up an equation where they are equal to each other.
7a - 10 = 11
Add 10 to 11.
7a = 21
Divide 7 by 21.
a = 3
So, the value of a is 3.
10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74
Let x be a random variable representing the price of a Congo-imported black diamond. Let the higher price be p. Then,
P(x < p) = P(x < (p - mean)/sd) = P(x < (p - 60,430)/21,958.08) = P(z < 2)
Therefore,
(p - 60,430)/21,958.08 = 2
p - 60,430 = 2 x 21,958.08 = 43,916.16
p = 34,916.16 + 60,430 = 104.346.16
Therefore, The required price is $104,346.16