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
kotykmax [81]
3 years ago
6

There are 27 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital?

Mathematics
1 answer:
Karolina [17]3 years ago
6 0

Answer:

18 men

Step-by-step explanation:

The 3 part of the ratio relates to the number of female performers.

Dividing the number of female performers by 3 gives the value of one part of the ratio.

\frac{27}{3} = 9 ← 1 part of the ratio, hence

2 parts = 2 × 9 = 18 ← number of men


You might be interested in
​If, based on a sample size of 950​, a political candidate finds that 563 people would vote for him in a​ two-person race, what
Ann [662]

Answer:

The 99​% confidence interval for his expected proportion of the​ vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 950, p = \frac{563}{950} = 0.5926

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5926 - 2.575\sqrt{\frac{0.5926*0.4074}{950}} = 0.5516

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5926 + 2.575\sqrt{\frac{0.5926*0.4074}{950}} = 0.6336

The 99​% confidence interval for his expected proportion of the​ vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.

8 0
3 years ago
What is 26-2b>2(3b+4)
Brrunno [24]
26 - 2b > 2(3b + 4)    |use distributive property: a(b + c) = ab + ac

26 - 2b > 6b + 8    |subtract 26 from both sides

-2b > 6b - 18    |subtract 6b from both sides

-8b > -18    |change signs

8b < 18    |divide borh sides by 8

b < 18/8

b < 9/4

b < 2.25
3 0
3 years ago
Roger drew one card from a standard deck of 52 cards. What is the probability that the card Roger drew is not a seven?
anygoal [31]

Answer: 12/13

Step-by-step explanation:

In a deck of cards there are 4 of each number. Therefore there are 4 sevens in the deck. 4/52 are 7, but you want the probability of getting a card that IS NOT 7. That means there are 48 cards that aren’t a 7. 48/52 is the probability. But you can simplify this by finding a number that divides evenly into both, which in this case is 4. This simplifies to 12/13.

8 0
3 years ago
A limited edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years it is worth $23.8
MA_775_DIABLO [31]
20.70-23.80=x+y= year three and x equals how much they make per a year... 

Glad I could help:)
8 0
3 years ago
Expand and Simplify:<br> 4(x+3) + 6(x+2)
alukav5142 [94]

Answer:

10x + 24

Step-by-step explanation:

distribute first to remove parentheses:

4x + 12 + 6x + 12

now combine 'like terms':

10x + 24

5 0
2 years ago
Read 2 more answers
Other questions:
  • In a conjunction, / is true when both / and / are _____; otherwise, / is _____. A. true . . . true B. true . . . false C. false
    9·2 answers
  • Please give me the right answer
    11·1 answer
  • When full a 22 gallon gas tank holds about 129.8 pounds of gasoline estimate the weight of one gallon of gasoline if it cost 91.
    10·1 answer
  • Helps me pls what is 283x2492÷8(89)=2838(82x) what is x
    8·1 answer
  • The perimeter of a rectangle is 156 feet. The length is 22 feet. What is the width?
    10·2 answers
  • A pool that is being drained contained 18,000 gallons of water. After 2 hours, 12, 500
    5·1 answer
  • .....................
    10·1 answer
  • 1
    14·1 answer
  • Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an
    6·1 answer
  • Determine and state the coordinates of the center and the length of the radius of the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!