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
Mashutka [201]
3 years ago
15

X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to

the left of 8.52.
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

You might be interested in
If 2x^2+5x-12 = (2x-3)(x+4), which equation(s) should be solved to find the roots of 2x^2+5x-12=0? Check all that apply.
Fynjy0 [20]

ANSWER

2x-3=0

and

x+4=0

EXPLANATION

Given that:

2 {x}^{2}  + 5x - 12 = (2x - 3)(x + 4)

Then to find roots of

2 {x}^{2}  + 5x - 12 = 0

is the same as finding the roots of

(2x - 3)(x + 4) = 0

By the zero product property, we must have either,

2x - 3 = 0 \: or \: x + 4 = 0

Hence the equations that must be solved to find the roots are:

2x-3=0

and

x+4=0

5 0
3 years ago
Read 2 more answers
Stacey owns a lot that has 180 feet of front footage and contains 36,000 square feet. She purchases two lots adjacent to each si
bija089 [108]
The graph of the function f(x)=(x+2)(x+6) is shown

The statement the function is negative for all real values of x where x <-2
3 0
4 years ago
Read 2 more answers
What does four over five take away two over three eqall
BartSMP [9]
The answe to this question is 0.133333333
5 0
3 years ago
Read 2 more answers
If 48% of the students in a certain college are female and there are 1440 female students, what is the total number of students
Andrews [41]

Answer:

3000 students

Step-by-step explanation:

If 48% of the students are female, and there are 1440 female students, we can set up a percentage proportion, assuming x is the total amount of students.

\frac{1440}{x} = \frac{48}{100}

We can use the cross products property to find the value of x.

1440\cdot100=144000\\\\144000\div48=3000

Hope this helped!

5 0
3 years ago
PLEASE HELP ME!! 1.02: Triangle Similarity 1<br><br> What is the value of X?
hichkok12 [17]

Answer:

<h2>x = 28</h2>

Step-by-step explanation:

ΔARP and ΔCRD are similar. Therefore the sides are in proportion:

\dfrac{AR}{CR}=\dfrac{PR}{DR}

We have:

AR = 10 + x

CR = x

PR = 15 + 42 = 57

DR = 42

Substitute:

\dfrac{10+x}{x}=\dfrac{57}{42}           <em>cross multiply</em>

42(10+x)=57x             <em>use distributive property</em>

(42)(10)+(42)(x)=57x

420+42x=57x         <em>subtract 42x from both sides</em>

420=15x            <em>divide both sides by 15</em>

x=28

6 0
4 years ago
Other questions:
  • Can someone please explain how to do this?
    11·1 answer
  • Plz help me ............
    9·2 answers
  • Convert 258 degrees into radians
    14·1 answer
  • Write your answer as a fraction in simplest form 7/16x2
    6·2 answers
  • PLEASE HELP!!
    15·1 answer
  • Help question is in photo
    6·2 answers
  • Reciprocal of 11/18
    13·2 answers
  • The area of a basketball court is 4500 ft2. The width is 50 feet. Find the length
    6·2 answers
  • All but 6 of the 25 students in my 6th grade math class play spring sports.
    12·2 answers
  • Someone please help, i’m stuck
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!