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
eimsori [14]
3 years ago
13

The manager of a nightclub near a local university recorded the ages of the last 100 guests in the following cumulative frequenc

y distribution.
Ages Cumulative Frequency
18 up to 22 68
22 up to 26 78
26 up to 30 88
30 up to 34 98
34 up to 38 100
a. Construct the corresponding frequency, relative frequency, and cumulative relative frequency distributions.
b-1. How many of the guests were at least 26 but less than 30 years old?
b-2. What percent of the guests were at least 22 but less than 26 years old?
b-3. What percent of the guests were younger than 34 years old?
b-4. What percent were 34 years or older?
Mathematics
1 answer:
mestny [16]3 years ago
8 0

Answer:

a). Please Find Table in Attachment

b-1). 10

b-2). 10%

b-3). 98%

b-4). 2%

Step-by-step explanation:

According to the Question,

  • Given, The manager of a nightclub near a local university recorded the ages of the last 100 guests.

a). (For Table Please Find in Attachment)

b-1). the guests were at least 26 but less than 30 years old is 78-68 = 10 Guests.

b-2). The percentage of the guests were at least 22 but less than 26 years old is (10/100)*100 = 10%

b-3). The percent of the guests were younger than 34 years old is (98/100)*100 = 98%

b-4).  The percent were 34 years or older is (2/100)*100 = 2% .

You might be interested in
Fill in each box with the correct number or variable.
Licemer1 [7]

Answer:

8 would be there.

Step-by-step explanation:

am sorry i cant explain cause my battery is really low

4 0
3 years ago
The Dow Jones Industrial Average has had a mean gain of 432 pear year with a standard deviation of 722. A random sample of 40 ye
trasher [3.6K]

Answer:

66.98% probability that the mean gain for the sample was between 250 and 500.

Step-by-step explanation:

To solve this problem, it is important to know the Normal probability distribution and the Central limit theorem.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem, we have that:

\mu = 432, \sigma = 722, n = 40, s = \frac{722}{\sqrt{40}} = 114.16

What is the probability that the mean gain for the sample was between 250 and 500?

This is the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 250.

So

X = 500

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{500 - 432}{114.16}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257.

X = 250

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{250 - 432}{114.16}

Z = -1.59

Z = -1.59 has a pvalue of 0.0559.

So there is a 0.7257 - 0.0559 = 0.6698 = 66.98% probability that the mean gain for the sample was between 250 and 500.

8 0
3 years ago
In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in
Agata [3.3K]

\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}

Considering the diagram. \angle B is shown to be acute, so \boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}.

Angles in a triangle add to 180°, so m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right).

Using the law of cosines,

AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}

3 0
1 year ago
Helpppppppppppppppppppppppppppppppppppppppp
polet [3.4K]

Step-by-step explanation:

let : the pair of jeans = X

a. the equation is :

4(X-3) + 8 = 92

b. 4(X-3) = 92-8

4X -12 = 84

4X = 84+12

4X = 96

X = 96/4

X = 24

so, the price of each pair of jeans = $24

_________

For the solution x = 2.6, the left side of equation

(2x - 6) => would be 2(2.6)-6 = 5.2-6 = -8 ( the negative value),

but on the right side of the equation 4x+8 => 4(2.6) +8 = 18.4 ( the positive value)

this difference indicates that x=2.6 is not the right solution.

4 0
3 years ago
the weight of an elephant is 10 to the 3rd times the weight of a cat if the elephant weighs 14000 pounds how much does the cat w
Andreyy89
Wouldn't you just divide 14000 by 10^3
6 0
3 years ago
Other questions:
  • Cassandra mother works in a flower shop and makes flower arrangements. she puts 10 flowers in each vase. 1/10 of the flowers are
    6·2 answers
  • The sum of three consecutive even integers is- 78. What are the integer? Describe how you would use the strategy of writing an e
    7·2 answers
  • Your food bill was $80 at a restaurant. You left a tip of $16$. What percentage of the food bill did you leave for the tip?
    10·1 answer
  • K12 5 grade math work need help WILL MARK CROWN ASAP
    8·1 answer
  • 24×35=? pease show how you got the answer
    6·1 answer
  • The composite figure is made up of two congruent rectangular pyramids joined at their bases. 2 congruent rectangular pyramids ar
    12·2 answers
  • Skate Space charges $50.00 to rent their bullding for events and \$5,50 per person to attend. A planning committee has \$100.00
    13·1 answer
  • What is the value of x in 75x -89 ÷ 7791 +7829 ×8391 =314682​
    5·1 answer
  • 3. Is the line through points P(0, -9) and Q(2, -8) perpendicular to the line through points R(1,4) and S(3, 3)?
    6·1 answer
  • The graph below represents the system of equations
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!