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
Liula [17]
3 years ago
14

bright pools is building a rectangular pool at a new house. The perimeter of the pool has to be 94 feet and the length has to be

2 feet more than twice the width. What will be the length and width of the pool?​
Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer:

\displaystyle 15\:feet\:wide \\ 32\:feet\:long

Step-by-step explanation:

{2 + 2w = l

{94 = 2w + 2l

94 = 2w + 2[2 + 2w]

94 = 2w + 4 + 4w

94 = 4 + 6w

- 4 - 4

_________

\displaystyle \frac{90}{6} = \frac{6w}{6}

\displaystyle 15 = w[Plug this back into both equations above to get the length of 32 feet]; \displaystyle 32 = l

I am joyous to assist you anytime.

You might be interested in
Help me<br><br><br><br> If x=1/2 and y=2/3 , find the value of xy+ (x+ y)
Dima020 [189]

Answer:

3/2

Step-by-step explanation:

7 0
3 years ago
According to government data, 20% of employed women have never been married. If 10 employed women are selected at random, what i
Ierofanga [76]

Answer:

a) P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

b) P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)

P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107

P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

And replacing we got:

P(X\leq 2) = 0.107+0.268+0.302=0.678

c) For this case we want this probability:

P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302

P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268

P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107

And replacing we got:

P(X \geq 8) = 0.677

And replacing we got:

P(X\geq 8)=0.0000779

Step-by-step explanation:

Previous concepts

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".  

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

X \sim Bin (n=10 ,p=0.2)

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!}  

Solution to the problem

Let X the random variable "number of women that have never been married" , on this case we now that the distribution of the random variable is:  

X \sim Binom(n=10, p=0.2)  

Part a

We want to find this probability:

P(X=2)

And using the probability mass function we got:

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

Part b

For this case we want this probability:

P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)

We can find the individual probabilities and we got:

P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107

P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

And replacing we got:

P(X\leq 2) = 0.107+0.268+0.302=0.678

Part c

For this case we want this probability:

P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302

P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268

P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107

And replacing we got:

P(X \geq 8) = 0.677

3 0
3 years ago
Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly
lubasha [3.4K]

Answer:

4.9 hours = 4 hours 54 minutes

Step-by-step explanation:

speed = distance/time

time * speed = distance

time = distance/speed

time = (284 miles)/(58 mph) = 4.9 hours

4.9 hours - 4 hours = 0.9 hours

0.9 hours * (60 minutes)/(1 hour) = 54 minutes

4.9 hours = 4 hours 54 minutes

8 0
3 years ago
4/9 + 1/3 = ??<br><br> Simplify answer fully
galben [10]
Multiply the second fraction by three.

4/9 + 3/9 = 7/9
5 0
3 years ago
Eric walked 6 laps in 36 minutes. Sally walked 3 laps in 18 minutes. Determine if the given ratios are equivalent?
zhuklara [117]

Step-by-step explanation:

6:36 = 6/36 = 1/6

3:18 = 3/18 = 1/6

therefore this ratios are equivalents...

<em><u>hope </u></em><em><u>this</u></em><em><u> </u></em><em><u>answer </u></em><em><u>helps</u></em><em><u> </u></em><em><u>you </u></em><em><u>dear.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>take </u></em><em><u>care!</u></em>

5 0
3 years ago
Other questions:
  • DE is parallel to XY what is x
    8·1 answer
  • Please help I’m stuck.
    10·1 answer
  • How many kilometers they traveled by bike
    7·1 answer
  • Which one of the following statement is true of parallel lines?
    9·2 answers
  • Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling dist
    14·1 answer
  • James and Martha are discussing special right triangles. James believes that a 30-60-90 triangle with a hypotenuse of 10 feet ha
    15·2 answers
  • Help me and please show your work 6(x-2) = 3(x-8)
    11·2 answers
  • Please guys I need help I don’t know how to do this
    8·1 answer
  • Jada has 60% of her goal of $70 saved for her trip.
    14·2 answers
  • What was the goal of the Five-Year Plan?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!