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
Oliga [24]
3 years ago
15

4. The length of a rectangle is eight more than

Mathematics
1 answer:
monitta3 years ago
4 0

Answer:

length = 104/3 ft

width = 40/3 ft

Step-by-step explanation:

<u>Variables:</u>

L = length

w = width

<u>Set up equations:</u>

  • L = 8 + 2w
  • 2L + 2w = 96

<u>Substitute L with the first bullet point equation:</u>

2L + 2w =  96

2(8 + 2w) + 2w = 96

16 + 4w + 2w = 96

16 + 6w = 96

6w = 80

w = 40/3 ft

<u>Find L now that you have the value of the width:</u>

L = 8 + 2w

L = 8 + 2(40/3)

L = 8 + 80/3

L = 104/3 ft

<u>Final Values:</u>

length = 104/3 ft

width = 40/3 ft

You might be interested in
What is 167,-197,-200,15,-65,-110 greatest to least
Ray Of Light [21]
167, 15, -65, -110, -197, -200
4 0
3 years ago
If 90 is 30% of a number, what is 200% of the number.
KATRIN_1 [288]
600 becuase 90/.30= 300 and 300*2 =600
6 0
3 years ago
It takes 3 pieces of wood to make a bird house. Marina has 21 pleces of wood. She uses this problem to find out how many bird ho
xxMikexx [17]

She can find out answer by dividing 21÷3 and the answer is 7

She can make 7 bird house

7 0
3 years ago
Read 2 more answers
Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
234 students in 9 different classrooms. What is the ratio of students to classrooms?
Vilka [71]

Answer:

26 students per classroom

Step-by-step explanation:

To solve this, the ratio 234 students:9 classrooms must be converted to:

s students:1 classroom

To convert the ratio, 9 was divided by 9 to get 1, and so you must also divide 234 by 9 to maintain the same ratio, which gives us the answer:

26 students: 1 classroom

5 0
3 years ago
Other questions:
  • What are rational exponents, and how are they related to integer exponents?
    11·1 answer
  • An aquarium at a pet store has 18 Black Neon Tetra fish in it . A customer buys 12 Black neon Tetra Fish at the same time the st
    6·2 answers
  • How do I graph 3x-7y=14
    5·1 answer
  • 10 mm<br>4 mm<br>u What is the volume of the cone to the nearest whole number?<br>​
    13·1 answer
  • Mary has postcards and stamps. The ratio of the number of postcards to the number of stamps she has is 2:9. If Mary has 36 stamp
    13·1 answer
  • Find each unit rate 6.78 mi on 3 gal
    13·1 answer
  • Nina goes to the supermarket 0, 1, or 2 times in a week. The probability that she goes 0 days is 0.2, the probability that she g
    14·1 answer
  • Anyone can Help me<br> Anyone can Help me<br><br> Anyone can Help me
    15·2 answers
  • 13-(-6) helpppp meee
    9·1 answer
  • Solve for X please help
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!