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
kodGreya [7K]
3 years ago
5

Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65.

Mathematics
1 answer:
horrorfan [7]3 years ago
8 0
Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old

We need to arrange the ages in order from least to greatest.

30, 30, 30, 30, 30, 31, 32, 32, 32, 65 
65 is the outlier. 

A.) mean age without the outlier. count of the numbers : 9
5 x 30 =    150
1 x 31 =      31
3 x 32 =<u>      96</u>
total age  277
÷ # of pax<u>    9</u>
mean         30.77 round to the nearest tenth 30.80

b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 =   0.20 ⇒  0.20²  = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 =   1.20 ⇒  1.20² = 1.44 * 3 pax = 4.32

Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84

Standard deviation is simply the square root of the variance.

Standard deviation = √0.84 = 0.916 

0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90
You might be interested in
Mark says that the number square root two is irrational number because he can write it as a fraction square root two over one is
Elan Coil [88]

Answer:

Step-by-step explanation:

A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite.  An irrational number cannot be expressed as a ratio of two integers.

Taking square root of two as an example;

√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.

Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers <em>not due to the fact that he can write it as a fraction.</em>

6 0
3 years ago
Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu
irina [24]

Answer:

The function is represented by C(d) = 75\,USD + r\cdot d.

Step-by-step explanation:

In this case, we must observe that total cost of the dog (C(d)) is the sum of two components: i) <em>Fixed cost</em> (C_{f}) - Adoption fee, ii) <em>Variable cost</em> (C_{v}) - Daily cost of feeding the dog, both measured in US dollars.

In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:

C (d) = C_{f} + C_{v}

C(d) = C_{f} + r\cdot d

Where:

d - Number of days that Kirstin owns her dog, measured in days.

r - Daily feeding costs, measured in US dollars per day.

If C_{f} = 75\,USD, then:

C(d) = 75\,USD + r\cdot d

The function is represented by C(d) = 75\,USD + r\cdot d.

8 0
3 years ago
Find the measure of all the missing angles
BARSIC [14]

a = 180 - 112

a = 68°

b = 112°

c = a = 68°

8 0
3 years ago
Read 2 more answers
The solution set for 7q2 − 28 = 0 is { }. (Separate the solutions with a comma) NextReset
SVETLANKA909090 [29]
7q^2 - 28 = 0

7q^2 = 28 
q^2 = 4
q = +/-2
 solution set is {-2,2}
6 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse of the right triangle below? Plz help
STALIN [3.7K]
Hint: The rule of the 45-45-90 triangle is that both sides are x and the hypotenuse is x√2.

x = 5√2

To find the hypotenuse you multiply x by √2.

5√2 (√2)
5√4
5 (2)
10

The hypotenuse is 10.
5 0
2 years ago
Read 2 more answers
Other questions:
  • Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5
    10·2 answers
  • If point A is located at (-7,5) on a coordinate plane and point B is located at (4,5), what is the distance between the two poin
    7·2 answers
  • 7) A coin is tossed three times, with 'heads' or 'tails' recorded after each toss. The number of possible outcomes for this expe
    14·1 answer
  • Y=lxl <br> 4 units up<br><br> translate
    15·1 answer
  • The sum of two negative integers is always
    7·2 answers
  • Can someone know this asap​
    14·1 answer
  • What is the domain of the function Y = tan(x/8)?
    6·1 answer
  • Bella leans a 20-foot ladder against a wall so that it forms an angle of 76° with the ground. What’s the horizontal distance bet
    9·1 answer
  • A number is increased by 25 percent and then decreased by 20 percent. The result is what percent
    12·1 answer
  • Does anybody know the answer??
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!