Answer:
Peter is 20 now
Step-by-step explanation:
Now
P = A +5 and J = 2P
plug in P in J = 2P = 2(A+5) =2A +10
In 5 years
J+5 = 3A
2A+10+5 = 3A
2A + 15 = 3A subtract 2A from each side
A = 15 so Alice is 15 now
P = A+5 =15+5= 20 so Peter is 20 now
Let's check :
P=20 J=40 A=15
in 5 years J = 45 A =3*15=45
Answer:
a. P(X = 0) = 0.02586
b.
c.
Step-by-step explanation:
From the given information:
a. If the manufacturer stocks 120 components, what is the probability that the 120 orders can be filled without reordering components?
P(X = 0) = 1 × 1 ( 0.97)¹²⁰ ⁻ ⁰
P(X = 0) = 0.02586
b. ) If the manufacturer stocks 122 components, what is the probability that the 120 orders can be filled without reordering components?
(c) If the manufacturer stocks 125 components, what is the probability that the 120 orders can be filled without reordering components?
Answer:
1. First choice, 1/2
2. First choice, 1/2
Step-by-step explanation:
3 odd numbers on a dice, so 3/6 = 1/2
12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2
Answer:
C ; A
Step-by-step explanation:
<u>Question 30:</u>
Perimeter is the sum of all sides.
Perimeter for a recatngle can be found with the formula:
2(L+W)
Length is 7
Width is 4
Plug our values in.
2(7+4)
2(11)
22
Answer C
<u>Question 31:</u>
Circumference of a circle can be found with the formula:
πd.
Diameter of the given circle is 6.
Plug it in
6π
Round π to 3.14
6(3.14)
18.84
Answer A
<span>I = Prn
</span><span>I = interest P = principal... amount invested
r = interest rate as a decimal
n = time periods
a. Interest + principal = amount in the account
$4,000 + $960 = $4,960
b. 960 = 4000 x r x 3
960 = 12000 x r
solve for r then multiply by 100 to get a percentage
</span>
<span>
c. find </span>
$1,080 - $960 = $120