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
timurjin [86]
3 years ago
7

A set of data has a mean of 56.1. The data follows a normal distribution curve and has a standard deviation of 8.2. Find the pro

bability that a randomly selected value is greater than 67.5
A.
0.0823

B.
1.39

C.
0.9177

D.
–1.08
Mathematics
2 answers:
Whitepunk [10]3 years ago
7 0
Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
Tanya [424]3 years ago
4 0

Answer: A.  0.0823


Step-by-step explanation:

Given : Mean \mu=56.1

Standard deviation \sigma=8.2

P(x>67.5) will be found as follows:

The z-score is given by:

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

Substitute the values of means ans standard deviation in it, we get

\Rightarrow\ z=\frac{67.5-56.1}{8.2}\\\\\Rightarrow\ z=\frac{11.4}{8.2}\\\Rightarrow\ z=1.39

As

P(z<1.39)=0.9177

thus:

P(X>67.5)=1-P(z<1.39)

⇒P(X>67.5)=1-0.9177

∴P(X>67.5)=0.0823

You might be interested in
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
alexgriva [62]

Answer:

x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)

OR x^9/(∛y)

Step-by-step explanation:

Given the indicinal equation

(x^27/y)^1/3

To find the corresponding expression, we will simplify the equation as shown:

(x^27/y)^⅓

= (x^27)^⅓/y⅓

= {x^(3×9)}^⅓/y⅓

= x^9/y⅓

= x^9/(∛y)

The right answer is x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)

6 0
3 years ago
Read 2 more answers
35.99 as a mixed fraction in simplest form
rodikova [14]
The answer would be 35 99/100 because you cannot simplify 99/100
7 0
3 years ago
Read 2 more answers
Maya owns a house valued at $432,600. She still owes $233,458 on her mortgage. How much equity does she have in the house? (3 po
IRISSAK [1]

Answer:

$199,142

Step-by-step explanation:

Given that

The value of the house i.e. assets is $432,600

The mortgage i.e. liability is $233,458

We need to find out the equity

As we know that

The accounting equation is

Total assets = Total liabilities + total equity

$432,600 = $233,458 + total equity

So, the total equity is

= $432,600 - $233,458

= $199,142

7 0
2 years ago
Which expression is equivalent to the square root of 120x
iren [92.7K]
(120x)^1/2 see attached photo for steps

5 0
3 years ago
The base of a statue of liberty is 154 feet tall.Is this number closer to 100 or 200?explain
mixer [17]
It is close to 200 because 150 or above would be rounded to 200. Below 150 would be 100
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following can cause a communicable disease
    14·1 answer
  • What value of y makes y/4=1.3/2 a proportion
    15·1 answer
  • Factor completely: x2 + 10x + 24 (Which is the right answer?)
    12·1 answer
  • Find the volume V of the cone. Round your answer to the nearest tenth.
    7·1 answer
  • 1. Is the function g(x) increasing or decreasing over the interval -2 &lt; x &lt;-1?
    11·1 answer
  • What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
    6·1 answer
  • Express each of the following percentages as decimals<br> 633%<br> solution for class 7
    14·2 answers
  • Slope=-7​, through ​(-3​,2​)
    12·1 answer
  • Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for Tr.)
    5·1 answer
  • Can someone help me with this question? thank you!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!