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
pashok25 [27]
3 years ago
6

The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 44 yd^2 Find the dimensions of the

rectangle.
Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Answer:

width: 5.5 yd; length: 8 yd

Step-by-step explanation:

Let w represent the width of the rectangle in yards. Then 2w-3 is the length and the area is the product of length and width:

w(2w-3) = 44

2w^2 -3w -44 = 0 . . . . put the equation into standard form

(w+4)(2w -11) = 0 . . . . . factor the equation

w = -4 or 11/2 . . . . . . . . the negative solution is extraneous

Then the length is 2·(11/2) -3 = 8.

The width of the rectangle is 5.5 yards; the length is 8 yards.

You might be interested in
Given a trapezoid with a height of 4.3m and bases of 9.2 m and 3.2m, what is the area of the trapezoid? Do not include units in
77julia77 [94]

For  a height of 4.3m and bases of 9.2 m and 3.2m, the area of the trapezoid  is mathematically given as

A=26.7

<h3>What is the area of the trapezoid?</h3>

Generally, the equation for the trapezoid   is mathematically given as

A=0.5*(a+b)*h

Therefore

A=0.5*(3.2+9.2)*4.3

A=26.7

In conclusion,area of the trapezoid

A=26.7

Read more about Arithmetic

brainly.com/question/22568180

7 0
2 years ago
Simplify the number using the imaginary unit i.
BARSIC [14]

Answer:

here

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Helppppopleaseee????
rosijanka [135]

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

\frac{n+1}{2} gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

7 0
2 years ago
Divide the equation. ​
Aleksandr-060686 [28]

Answer:

3y+3

Step-by-step explanation:

I hope this works

7 0
2 years ago
If 20% of the people in a community use the emergency room at a hospital in one year, find
Pie

Answer:

a) 87.91% probability that at most three used the emergency room

b) 20.13% probability that exactly three used the emergency room.

c) 3.28% probability that at least five used the emergency room​

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they use the emergency room, or they do not. The probability of a person using the emergency room is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Sample of 10 people:

This means that n = 10

20% of the people in a community use the emergency room at a hospital in one year

This means that p = 0.2

a) At most three used the emergency room

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684

P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020

P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1074 + 0.2684 + 0.3020 + 0.2013 = 0.8791

87.91% probability that at most three used the emergency room

b) Exactly three used the emergency room

P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013

20.13% probability that exactly three used the emergency room.

c) At least five used the emergency room​

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

From 0 to 3, we already have in a).

P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881 = 0.9672

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9672 = 0.0328

3.28% probability that at least five used the emergency room​

4 0
3 years ago
Other questions:
  • What are the first terms of the sequence
    9·1 answer
  • What is the area of a square window that has a perimeter of 52 feet?<br> 13<br> 104<br> 169<br> 225
    13·2 answers
  • in a harris poll adults were asked if they are in favor abolishing the penny . Among the responses, 1243 answeered no 481 answer
    5·1 answer
  • How to write the following in exponential form. 100 x 10
    8·1 answer
  • Which answer choice show 36.95 written in expanded form
    14·2 answers
  • What is the least common multiple of 3, 10, and 15?
    9·1 answer
  • 5.3N + 7.25 = 70.85 what is N
    8·2 answers
  • Determine the volume and the total surface area of the square pyramid.if its perpendicular height is 12cm and square length is 5
    10·1 answer
  • Answer this please will give brainliest
    8·2 answers
  • What is the equation of the line with a slope of 2 through (–4, 6) in point-slope form?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!