1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Delicious77 [7]
3 years ago
11

A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest

child got forty five percent of the allowance and the youngest got twenty percent. How much is the monthly allowance given to the children if the second child got three thousand five hundred dollars?
Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Let x = father's monthly income.

.25x is split among his three children

Oldest received .45(.25x), middle child received .35(.25x), and youngest received .25(.25x).

.25(.25x) = 3500

.0625x = 3500

x = $56,000

56,000(.25) = $14,000 per month

You might be interested in
Which value is a solution of the equation 85= 120-w?
Ronch [10]
85=120-w\\85-120=120-w-120\\-35=-w\\\frac{-35}{-1}=\frac{-w}{-1}\\35=w

w = 35
8 0
3 years ago
Read 2 more answers
A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute
nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

P(k\geq8)=1-P(k

P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\

P(k

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002

5 0
3 years ago
I will give branly to the best and fast answer :D
Anton [14]

Answer:

its fifteen fiths

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Need help , due tomorrow.... will give brainliest answer if ALL done and ALL correct
DanielleElmas [232]
It is hard to see the questions in the picture.

6 0
3 years ago
Micheal has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3π in^3. One day, his sink is clogged. He ha
11Alexandr11 [23.1K]

Answer:

A is 27 i think and B is 15 i think

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Graph 2x-5=2x+8 please
    14·1 answer
  • What is the correct way to write 1,550,000,000 in scientific
    13·1 answer
  • What is −1/3(p+9)≤4 as an inequality?
    12·1 answer
  • If the point is reflected across the y-axis, what is the location of the new point? A) (2, 5) B) (2, −5) C) (−2, 5) D) (−2, −5)
    7·2 answers
  • Given the measure of arc AC is 114, what is the measure of angle ADC
    11·2 answers
  • Suppose 6 people chose oatmeal as their favorite breakfast food. How would you change the bar graph
    14·1 answer
  • An estimated measurement was guessed of 10.4 mL and the actual measurement was 9.7 mL. What is the percent error?
    11·2 answers
  • 22
    6·1 answer
  • 08- O ponto de encontro do eixo x com eixo y , indicado pelo par ordenado ( 0;0) . É Chamado de : *
    12·1 answer
  • Mr. Falcone's pizza shop offers three sizes of pizza. The
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!