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
frutty [35]
2 years ago
7

1. A given binomial distribution has a mean of 153.1 and a standard deviation of 18.2. Would a value of 187 be considered usual

or
unusual? Why?
A. Unusual, because the result is less than the maximum usual value.
B. Usual, because the result is less than the minimum usual value.
C. Unusual, because the result is greater than the maximum usual value.
D. Usual, because the result is between the minimum and maximum usual values.
Mathematics
1 answer:
Triss [41]2 years ago
8 0

Answer:

Usual, because the result is between the minimum and maximum usual values.

Step-by-step explanation:

To identify if the value is usual or unusual we're going to use the Range rule of thumbs which states that most values should lie within 2 standard deviations of the mean. If the value lies outside those limits, we can tell that it's an unusual value.

Therefore:

Maximum usual value: μ + 2σ

Minimum usual value: μ - 2σ

In this case:

μ = 153.1

σ = 18.2

Therefore:

Maximum usual value: 189.5

Minimum usual value: 116.7

Therefore, the value of 187 lies within the limits. Therefore, the correct option is D.  Usual, because the result is between the minimum and maximum usual values.

You might be interested in
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-
Elena-2011 [213]

y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)

3 0
1 year ago
Hi, can someone please help, and possibly explain the answer please.
mr_godi [17]

Answer:

x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}

Step-by-step explanation:

Quadratic formula: x=\frac{-b\±\sqrt{b^2-4ac} }{2a} when the equation is 0=ax^2+bx+c

The given equation is 1=-2x+3x^2+1. Let's first arrange this so its format looks like y=ax^2+bx+c:

1=-2x+3x^2+1

1=3x^2-2x+1

Subtract 1 from both sides of the equation

1-1=3x^2-2x+1-1\\0=3x^2-2x+0

Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}

I hope this helps!  

8 0
2 years ago
If you earn $134 in 8 hours, how much do you earn per hour?
White raven [17]

Answer:

1.75

Step-by-step explanation:

because you divided the money you earned by how much time you worked

7 0
2 years ago
Read 2 more answers
The product of 2 more than a number and 10 is 36 more than 8 times the numbe. whats the number?​
chubhunter [2.5K]

Answer: 8

Step-by-step explanation:

let x = the number

(x + 2)*10 = 8x + 36

10x + 20 = 8x + 36

2x = 16

x = 8

4 0
3 years ago
Which ordered pair is a solution of the equation?
Leno4ka [110]
Yes papa papa daddy daddy lol yeah bye yeah yeah bye
6 0
2 years ago
Other questions:
  • (6) Please check ans
    9·1 answer
  • What is the fifth term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916?
    13·2 answers
  • There’s a full 12 piece pizza. Ayla got a slice of pizza and John got 1 and two half’s of pizza.....how many slices are left.
    10·2 answers
  • The table is an example of joint variation. What is the missing value if the length is 5 meters?
    14·2 answers
  • What is the value of x?<br> 59<br> 95<br> 101
    11·1 answer
  • WILL MARK BRAINLIEST!!!
    11·1 answer
  • 1. If 3X + Y =P and X+Y=Q, what is X in terms of P and Q?
    15·1 answer
  • assume that the class has 80 students and that the examination period is 95 minutes in length. How many students do you expect w
    10·1 answer
  • 13 is 26%of what number<br><br> 120 is 30% of what number
    8·2 answers
  • 6. If a loan is taken out for $318 at 9% and costs $171.72, how long was the loan for? Please show your work. 21 points if answe
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!