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
Ipatiy [6.2K]
2 years ago
13

Element X decays radioactively with a half life of 15 minutes. If there are 340 grams of Element X, how long, to the nearest ten

th of a minute, would it take the element to decay to 6 grams?
Mathematics
1 answer:
NikAS [45]2 years ago
6 0

Answer: 57 min

i used a calculator.

You might be interested in
63a-42b Please help!
Gennadij [26K]
21(3a-2b) hope this help !
I’m sorry if I’m wrong
7 0
3 years ago
An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do
vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

5 0
3 years ago
What is the value of x?<br><br>Enter your answer in the box. <br><br>x =​
balu736 [363]

Answer:

x=3

Step-by-step explanation:

BC=6

cos(60)=×÷6

×=3

8 0
3 years ago
in a survey of eight graders, 4/5 of the students preferred using pens over pencils. what percent of the students preferred?
Natali5045456 [20]

Answer:

80% (you divide 4 by 5 to get 0.8, then you move the decimal 2 spaces to the right

6 0
3 years ago
Read 2 more answers
When you form general ideas and rules based on your experiences and observations you call that form of reasoning
lutik1710 [3]

You could probably call it INDUCTION

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which graph represents the linear function y=1/4x-3
    14·1 answer
  • Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD =
    14·2 answers
  • A parabola has a focus of F (8.5,-4) and a directrix of x=9.5.
    12·1 answer
  • Estimate 15% as a fraction in its simplest form.
    8·1 answer
  • I need help on #3 please help
    5·2 answers
  • 170 ÷15 = 15 x ______ = 170
    6·1 answer
  • Using E= mc2 , solve for m. Then, find the value of m if E = 725 and c= -5
    10·2 answers
  • -X2 - 2x - 2 over <br> X-2 ? <br> What is the graph of the function f(x) =
    14·1 answer
  • There are 36 students playing tag at recess. This is 6 times as many as are playing hopscotch. Which model shows the comparison
    9·1 answer
  • Type a digit that makes this statement true.<br> 7,176,260 is divisible by 3.<br> Submit
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!