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
Norma-Jean [14]
3 years ago
13

The variable y varies directly with x^2 and y=72 when x=3

Mathematics
1 answer:
Karolina [17]3 years ago
6 0
Y=kx^2  (k being a constant)

72=k (3^2)
k=8

y=8x^2
You might be interested in
9x 7=29. is 9 a solution to the problem?
Masteriza [31]
No it is impossible because 9x7=63
4 0
3 years ago
Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost
Sergio039 [100]

Answer:

42.3

Sorry I haven't been answering your questions I'm just behind on homework.

3 0
3 years ago
A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv
mario62 [17]

Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

p=\frac{1}{6}

Now, probability of failure is given by the formula:

q=1-p=1-\frac{1}{6}=\frac{5}{6}

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

P(x) = ^nC_xp^xq^{n-x}

Plug in all the given values and find the probability of 14 successes. This gives,

P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087

Therefore, the experimental probability of throwing a five is 0.087.

8 0
3 years ago
Simplify 4 to the 7th over 5 squared all raised to the 3rd power.
Radda [10]
First write out your original equation.
{(\frac{ {4}^{7} }{ {5}^{2} } ) }^{3}
Then use the law of exponents(power of a power) to simplify.
\frac{ {4}^{21} }{ {5}^{6} }
(Multiply the numerator and denominator exponents by the outside power.)

The answer is 4 to the 21st over 5 to the 6th.
6 0
3 years ago
Allison was left an inheritance from her great aunt on her 12 birthday. However, she , she not able to touch it until she is 21
olya-2409 [2.1K]

Answer:

18% intrest

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Four hundred two million seventy-three thousand one hundred eighty in standard form
    10·2 answers
  • What is the value of 4 in the decimal 4.706
    13·1 answer
  • A bacteria population doubles every 4 hours. There are currently 2,000 bacteria in a restricted area. If t represents the time,
    10·1 answer
  • Solve for x:<br> 3(x+1)=5 (x-2)+7
    5·1 answer
  • Find the inverse of y=1/2x+6
    15·1 answer
  • Jared uses 24 tiles to cover the top of his desk of the 24 tiles 3/8 are blue how many of the tiles are blue
    9·2 answers
  • Bradley is purchasing a new car for 37000. If the car loses 20%of its value every year, how much will the car be worth in 7 year
    5·1 answer
  • Which of the following is equivalent to the complex number i^30?
    9·2 answers
  • A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
    15·2 answers
  • There are 30 dogs staying in some boarding kennels.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!