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
TEA [102]
3 years ago
11

3 8 of a neighborhood's residents vote to plant roses at the front entrance. 2 9 vote to plant roses and peonies. what fraction

of those who vote for roses also vote for peonies?
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
<span>1627</span><span> is correct.</span>
.
<span>P(peonies|roses) = </span><span>P(roses and peonies)P(roses)</span>
<span><span>29</span><span>38</span></span><span> = </span><span>16<span>27</span></span>
Gnom [1K]3 years ago
4 0

Answer: =\frac{16}{27}

Step-by-step explanation:

Let A be the event of planting rose and B be the event of planting peonies at the front entrance.

Then, The probability of neighborhood's residents vote to plant roses at the front entrance=P(A)=\frac{3}{8}

The probability of neighborhood's residents vote to plant roses and peonies =P(A\cap B)=\frac{2}{9}

Now, the conditional probability of neighborhood's residents vote for roses also vote for peonies =P(B|A)=\frac{P(A\cap B)}{P(A)}

=\frac{\frac{2}{9}}{\frac{3}{8}}\\\\=\frac{2\times8}{9\times3}\\\\=\frac{16}{27}

Hence, the fraction of neighborhood's residents vote for roses also vote for peonies =\frac{16}{27}

You might be interested in
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h
zhuklara [117]

I added a screenshot of the complete question along with the given choices.

<em><u>Answers:</u></em>

w = 10 ft and l = 50 ft ................> second option

w = 20 ft and l = 60 ft ...............> third option

w = 50 ft and l = 40 ft ...............> fifth option

<em><u>Explanation:</u></em>

<u>We are given that:</u>

length should be at least 20 ...........> length ≥ 20

equation for perimeter is : 2l + 2w ≤ 200

<u>We will check each option as follows:</u>

<u>Option 1:</u>

w = 50 ft and l = 10 ft

This option is incorrect as the proposed length is less than 20.

<u>Option 2:</u>

w = 10 ft and l = 50 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 3:</u>

w = 20 ft and l = 60 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 4:</u>

w = 90 ft and l = 30 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200

The second condition is not satisfied.

This option is incorrect

<u>Option 5:</u>

w = 50 ft and l = 40 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200

The second condition is also satisfied.

This option is correct

Hope this helps :)

8 0
3 years ago
Read 2 more answers
The distance between Cincinnati,Ohio and Charlotte,North Carolina,is about 336 miles. The distance between Cincinnati and Chicag
navik [9.2K]

336+247=583miles

charlotte-chicago

charlotte-ohio=336

ohio- Chicago-247

so charlotte-chicago=583miles

6 0
3 years ago
Write the equation of the line.
Oksana_A [137]
Y = 1/3x - 2.
If you sub in 0, you’ll get (0, -2) which is the y intercept.
4 0
3 years ago
Read 2 more answers
#7) Who is correct?
Kryger [21]
I think Faye is correct
8 0
3 years ago
Your school football team has 10 scheduled games for the season. You want to attend at least 4 games. How many different combina
viva [34]

24 combinations i believe

8 0
3 years ago
Other questions:
  • How do you find the degree of a polynomial function
    5·1 answer
  • Find the equation of a line that is perpendicular to the line X=-6 and contains the point (4,-5)
    13·1 answer
  • Write the following equation in the general form Ax + By + C = 0. 1/2y - 1/3x - 1 = 0
    12·1 answer
  • Linda found that the cost to get a swimming pool installed in her backyard is a linear function of the pool's area. A swimming p
    12·1 answer
  • 1) 9f - 2 - 8f<br> 2) -8 (-2-5z) + 7<br> 3) 8r - r<br> 4) 2-8k-6k<br> 5) (-2r-6)<br> 6) b+8b
    8·2 answers
  • The bottom two questions that correspond to the word problem... I don't get it
    8·1 answer
  • Simplify the expression:<br> 2(5 + 5q) =<br> What’s the answer
    6·2 answers
  • If the revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40hours each, what is
    15·1 answer
  • 1/2*40=2x+8 what is the answer
    15·2 answers
  • HELP PLZ SHAPES <br> lots of points
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!