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
damaskus [11]
4 years ago
9

Parker is laying pavers to build a patio in his backyard. Each square paver measures 2 feet on each side. He would like the pati

o to be 16 feet by 8 feet. Area of a square formula A = s2. Area of a rectangle formula A = lw. How many pavers does Parker need to build the patio?
Mathematics
1 answer:
Alex787 [66]4 years ago
3 0

Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

A=s^{2}

where

s is the length side of the square

we have

s=2\ ft

substitute

A=2^{2}\\A=4\ ft^{2}

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

A=LW

we have

L=16\ ft\\W=8\ ft

substitute

A=(16)(8)\\A=128\ ft^2

step 3

Find out the number of pavers needed to build the patio

Divide the area of the rectangular patio by the area of one paver

128\ ft^2/4\ ft^{2}=32\ pavers

You might be interested in
I ONLY need help with the tables ONLY! I’LL GIVE BRAINLIEST FOR THE RIGHT ANSWER?! I please include what you did for both tables
neonofarm [45]

Answer:

The first table.

Step-by-step explanation:

Every single time, the x is being multiplied by 3 to get the y, and that means its proportional. Also, the second one is for sure NOT proportional

7 0
3 years ago
Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 29.7 fee
VladimirAG [237]

Answer:

44.87°

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Greq and Sam oredered a pizza for lunch. Greg ate 3/4 of the pizza, and Sam ate 1/8 of the pizza. How much of the whoe pizza was
MatroZZZ [7]
Convert 3/4 to a denominator of 8 by multiplying by two, getting you:

6/8 + 1/8

Add those and you get D) 7/8
3 0
3 years ago
What is the value of x in the equation -2 =5x + 3
Mars2501 [29]
-2 = 5x +3
5x = 3 + 2
5x = 5
x = 1
3 0
3 years ago
Read 2 more answers
Let the number of chocolate chips in a certain type of cookie have a Poisson distribution. We want the probability that a cookie
ludmilkaskok [199]

Answer:

\lambda \geq 6.63835

Step-by-step explanation:

The Poisson Distribution is "a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event".

Let X the random variable that represent the number of chocolate chips in a certain type of cookie. We know that X \sim Poisson(\lambda)

The probability mass function for the random variable is given by:

f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...

And f(x)=0 for other case.

For this distribution the expected value is the same parameter \lambda

E(X)=\mu =\lambda

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

P(X\geq 2)=1-P(X

Using the pmf we can find the individual probabilities like this:

P(X=0)=\frac{e^{-\lambda} \lambda^0}{0!}=e^{-\lambda}

P(X=1)=\frac{e^{-\lambda} \lambda^1}{1!}=\lambda e^{-\lambda}

And replacing we have this:

P(X\geq 2)=1-[P(X=0)+P(X=1)]=1-[e^{-\lambda} +\lambda e^{-\lambda}[]

P(X\geq 2)=1-e^{-\lambda}(1+\lambda)

And we want this probability that at least of 99%, so we can set upt the following inequality:

P(X\geq 2)=1-e^{-\lambda}(1+\lambda)\geq 0.99

And now we can solve for \lambda

0.01 \geq e^{-\lambda}(1+\lambda)

Applying natural log on both sides we have:

ln(0.01) \geq ln(e^{-\lambda}+ln(1+\lambda)

ln(0.01) \geq -\lambda+ln(1+\lambda)

\lambda-ln(1+\lambda)+ln(0.01) \geq 0

Thats a no linear equation but if we use a numerical method like the Newthon raphson Method or the Jacobi method we find a good point of estimate for the solution.

Using the Newthon Raphson method, we apply this formula:

x_{n+1}=x_n -\frac{f(x_n)}{f'(x_n)}

Where :

f(x_n)=\lambda -ln(1+\lambda)+ln(0.01)

f'(x_n)=1-\frac{1}{1+\lambda}

Iterating as shown on the figure attached we find a final solution given by:

\lambda \geq 6.63835

4 0
3 years ago
Other questions:
  • Solve by factoring or finding square roots x^2-6x-7=0
    15·2 answers
  • Alice Jones worked 32 hours this week. She paid $4.00 per hour. She also earned $250 in tips. What is Alices gross pay for this
    7·1 answer
  • Write the number.<br> 298 thousand, 216
    13·2 answers
  • Can anyone break this down to me?
    12·2 answers
  • Complete the table to investigate dilations of
    11·1 answer
  • A product has five factors. Three factors are negative integers and two factors are positiv
    6·1 answer
  • Please help me solve this in exponents form ive been having troubles on mynmath homework (3x^6 y^2)^3 × 2x^10 y^-7
    5·1 answer
  • The ratio of Bananas to Mangoes to Oranges is 3:4;5. If there are 180 mangoes and oranges. How many fruits are there altogether.
    11·1 answer
  • only 2/3 of the school districts kindergarten teachers are women. if 59 are men, how many kindergarten teachers in all are emplo
    6·1 answer
  • Point-lope form for the line that pae through the point (1, –1) and ha a lope of 4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!