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
Lana71 [14]
2 years ago
10

When I add a number to another number four times as big, the result is 30. find the first number

Mathematics
2 answers:
Leno4ka [110]2 years ago
4 0

Let's assume the number is N

<u>According</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>question</u><u>, </u>

when I add a number to another number four times as big, the result is 30.

x+4x=30\\\\5x=30\\\\x=\dfrac{30}{5}\\\\x=\frak{6} 

Alex73 [517]2 years ago
3 0

Answer:

x = 6

Step-by-step explanation:

Let x = first number

x+4x = 30

5x = 30

Divide by 5

5x/5 =30/5

x = 6

You might be interested in
What is the answer to 9log9 v=0 ?
lbvjy [14]

Where is the V in the expression

8 0
3 years ago
A soccer team is having a pizza party to celebrate the end its season Each guest at the party is to receive 1/3 of a pizza . The
Stolb23 [73]

Answer: 36 people

Step-by-step explanation:

There are 3 servings in one pizza, so 12 x 3 = 36 servings, which is 36 people

6 0
3 years ago
3feet 6in + 8 feet 2in +4in + 2feet 6in
Ede4ka [16]
12 inches in a foot.

6in+2in+4in+6in= 18in (one and half feet)

3+8+2+1= 14 feet

The answer is 14 feet 6 inches.

I hope this helps!
~kaikers
8 0
3 years ago
A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi
iogann1982 [59]

Answer:

P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]

And if we find the individual probabilities we got:

P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687

P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062

P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835

P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362

And if we replace we got:

P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=12, p=0.2)

And we want to find this probability:

P(X > 3)

And we can use the complement rule and we got:

P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]

And if we find the individual probabilities we got:

P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687

P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062

P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835

P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362

And if we replace we got:

P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543

4 0
3 years ago
Read 2 more answers
Prove the following identity:
disa [49]

Answer:

66

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest
    7·1 answer
  • 3(x+5) +2x=10x-5(x+1)
    8·1 answer
  • 16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is
    13·1 answer
  • Plz help!!
    13·1 answer
  • Evaluate the function at the given value of the independent variable. Simplify the results. (If an answer is undefined, enter UN
    12·1 answer
  • ANY HELP IS GREATLY APPRECIATED What is the sign of the product (−4)(6)(9)(3)?
    6·2 answers
  • PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY PLS ANSWER THO LIKE ITS SOO CONFUSINGG I BEG YOU PLS AND TY
    10·2 answers
  • I hope you have a good day can you help me out? It would mean a lot. =)
    12·1 answer
  • A spinner with 10 equally sized slices has 10 yellow slices. The dial is spun and stops on a slice at random. What is the probab
    12·1 answer
  • PLEASE HELP GIVING BRAINLIEST
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!