The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation of 40.7. (All units are in mg/100mL). Find the two levels that separate the top 9% and the bottom 9%.
Please explain!
Answers
Answer:
the levels are 123.5 and 232.7 mg/mL
Step-by-step explanation:
The inverse normal function is used to find limit values from an area (probability).
Your calculator can show these values to you. (see attached)
The top 9% are above 232.7 mg/mL.
The bottom 9% are below 123.5 mg/mL.
__
A suitable calculator can evaluate the inverse normal function to find the x-value corresponding to some area, mean, and standard deviation. For the level that separates the bottom 9% from the rest of the area, we use an area value of 0.09. The mean and standard deviation values are those provided in the problem statement.
For the level that separates the top 9% from the rest of the area, we use an area value of 1 -0.09 = 0.91.
__
The second attachment shows an online calculator that can give the limits on the middle 0.91 -0.09 = 0.82 of the area under the probability curve.
_____
Additional comment
An app version of an approximation to a TI-Nspire calculator is shown in the first attachment. The invNorm function is found at the Distr key (2nd VARS).
For the top 9% we have to find the value x for which
P(X<x) = 0.91
Converted to the standard normal distribution this corresponds to
P(Z<(x-178.1)/40.7) = 0.91
Then: (x-178.1)/40.7 = 1.341
or x = 232.7
For the bottom 9% we have to find the value x for which
P(X<x) = 0.09
Converted to the standard normal distribution this corresponds to
P(Z<(x-178.1)/40.7) = 0.09
Then: (x-178.1)/40.7 = -1.341
or x = 123.5
So the 2 levels that separate the top 9% and the bottom 9% are 232.7 and 123.5.
Related Questions
Find the exact solutions of the equation in the interval [0, 2pi). (Enter your answers as a comma-separated list.)
sin 2x sin x = COS X
Answers
there are different ways of solving this:
one way is the follwing:
cos^2(x) -sin^2(x) =cos (2x)
then, equation becomes:
cos (2x) -sin (x)=0
but sin(x) is also equivalent to : cos ((pi/2)-x),
so, the equation now is:
cos (2x) - cos ((pi/2)-x)=0 -------> cos (2x) = cos ((pi/2)-x) ---------> 2x=(pi/2) -x
but since it is an angle, the answer would be repeating so:
2x= 2k(pi) +((pi/2)-x)
3x= pi( 2k+1/2)
x= (pi/3) (2k+1/2)
for k=0, x= pi/6
for k=1, x= 5pi/6
for k=2, x= 3pi/2
so answers are : (pi/6,5pi/6,3pi/2)Divide 1/5 by 1/2. Input your answer as a reduced fraction.
Answers
Answer:
2/5
Step-by-step explanation:
1/5 / 1/2= 1/5 x 2/1
2/5
Answer:
2/5
Step-by-step explanation:
The original answer was 4/10, but as a reduced fraction, it is 2/5.
Version of how I got it:
5 and 2 have 10 in common, so that is the denominator
1 and 1 have 1 in common. Keep change and flip, to turn this into a 4. this rule applies because 1 + 1 = 2, and 2 x 2 = 4.
finally...
4/10 -- 2/5
hope this helps!
solve the inequality 5> 2x-7=
Answers
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
[tex]2x < 5+7[/tex]Add 7 to both sides.
[tex]2x < 5+7[/tex]
Add 5 and 7 to get 12.
[tex]2x < 12[/tex]
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
[tex]x < \frac{12}{2}[/tex]
Divide 12 by 2 to get 6.
[tex]x < 6[/tex]
I hope this helps you
:)
HELLO CAN SOMEONE PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
Answers
Answer:
4ft, 9ft, and 6ft
Step-by-step explanation:
A triangle needs to have sides, a + b > c otherwise it will not be a triangle
Your welcome, comment if you have any questions! :D
Answer:
4ft, 9ft, 6ft
Step-by-step explanation:
To make a triangle, the two smallest sides have to be greater than the longest side. So, if we add the sides for each answer:
3ft + 6ft < 10ft
3ft + 6ft = 9ft
4ft + 6ft > 9ft
4ft + 5ft < 10ft
we can see that only the third answer meet the 'side rule.'
Which of the following choices shows how you would simplify this expression?
13 x - 9 - 6x
a. 7x + 9
b. 19x -9
c, 7x - 9
d. -2x
Answers
Answer:
C
Step-by-step explanation:
13x-6x= 7x
Nothing is similar to -9 so it would stay the same
So the overall answer would be 7x-9
Sorry if this is incorrect, good luck!
Answer:
7x-9
Step-by-step explanation:
(13x-6x)-9
simplify
7x-9
Write 350 as a product of primes. Use index notation when giving your answer
Answers
Answer:
5² x 7 x 2
Step-by-step explanation:
350
= 35 x 10
= 7 x 5 x 5 x 2
= 5² x 7 x 2
How can you check that this answer is correct? 24,230 - 5 = 4,846
Answers
Answer/Step-by-step explanation:
This question is false because:
24230
- 5 [Regroup]
----------------
24225
Hence, this answer isn't correct.
[RevyBreeze]
PLEASE HELP 20 points!!!
Answers
Answer:
x = 10 cm
Step-by-step explanation:
The volume of a pyramid is [tex]V = \frac{Bh}{3}[/tex], where V = volume, B = area of base, and h = height.
We're given the height as 14 cmWe're given the volume as 280 cubic cmWe're given one of the dimensions of the rectangle as 6 cm[tex]280= \frac{(14)(6)(x)}{3}[/tex]Step 1: Multiply both sides by 3.
[tex]280*3=\frac{84x}{3} *3[/tex] [tex]840=84x[/tex]Step 2: Divide both sides by 84.
[tex]840/84=84x/84[/tex] [tex]x=10[/tex]Step 3: Check if solution is correct.
10 * 6 * 14 = 840840/3 = 280Therefore, x = 10 cm.
Need help dont understand
Answers
Answer:
0.904
Step-by-step explanation:
9.04 × 10[tex] {}^{ - 1} [/tex]
=0.904
please someone help I’ll give u the brainliest answer
Answers
Answer:
Step-by-step explanation:
Already answered here: https://brainly.com/question/26782089
Which group of numbers is listed from least to greatest?
-8, -6, -1, 5,8
-4, 5, -6, 7,-8
9,7,5, -4,-9
-6, -7,-8, 0,2
Answers
Answer:
a) -8, -6, -1, 5,8
Step-by-step explanation:
*View the image attached*
As you can see, the further left on the number line, the smaller the number becomes. The further right on the number line, the bigger the number becomes.Hope this helps!
Find the area.
13 mm
26 mm
15 mm
32 mm
PLS HELPPP ♀️
Answers
Answer:
area=20x13x26x15x32=formula is +ALL20X13=260x26=5720x15x32480 is yours you play ff
When a number is doubled, the result is 48. What is the number?
Answers
Describe the transformations necessary to transform the graph of f(x) into that of g(x). Please. SHOW YOUR WORK
Answers
Answer:
17) C
18) D
19) B
Step-by-step explanation:
17) As you see that is a fraction ahead of x^2. So you stretch it vertically. The best part here is even if you forget the principle just search for transformations of relative function (by relative I mean the function from context).
18) (x-2)^2 - 1, the -1 translates the graph down on a unit.
the horizontal transformation is defined as (x - a) or in other words, if you see -2 you actually move the graph on 2 units.
19) You see that -1/3 which means you reflect it over the y-axis and compress it by a factor of 3. Also, we translate it to the right by 3.
Do the 20th yourself now.
If "z" is a standard normal variable, find the probability that "z" is less than 1.16. Sketch the graph and the required area.
Answers
Answer:
Step-by-step explanation:
It would be more obvious if it says z is a standard Normal variable and that the question is related to statistics.
From "Computing Probabilities Using the Cumulative Table" , the probability of z is less than 1.16, P(z<1.16) = 0.8770.
What is the degree of the polynomial 3xy^2z-2z^5+2/3y^2z^4?
Answers
Answer:
i got 6 sorry if wrong
Step-by-step explanation:
If x = 9 units and h = 4 units, then what is the area of the triangle shown above?
Answers
Answer:
[tex]18unit^{2}[/tex]
Step-by-step explanation:
[tex]A=\frac{1}{2}bh[/tex]
[tex]A=\frac{1}{2}(36)[/tex] or [tex]A=32/2[/tex]
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can u show the step and thanks
Answers
Answer:
B) 378 students could be expected to attend the game.
Step-by-step explanation:
Out of 40 students, 45% agreed,
45% of 40
= 45/100 * 40
= 18 students,
18 students out of 40 agreed.
So, Out of 840 students 18/40 * 840 students would be expected to agree. We get :- 378
PLEASE HELP! I WILL GIVE BRAINLIEST FOR A RIGHT ANSWER
Answers
Answer:
All of them have intersections with each other, so we can't really say anything from that. But only -3x + 10 has a y-intercept higher than y=0.
So let's just say -3x+10 is different.
trying to pass a test
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
ppppppppppppplllllllllzzzzzzzzzzz help
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2
Step-by-step explanation:
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Twice last month, Judy Carter rented a car in Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily fee,
plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 400 miles, and the rental cost her $248.00. On her second business
trip she drove 200 miles in 3 days, and paid $161.00 for the rental. Find the daily fee and the mileage charge.
Answers
Answer:
Step-by-step explanation:
Let d = daily fee in dollars
Let +m = milage charge in dollars
In words:
( Cost of rental ) = ( number of days rented )x( daily fee ) + ( miles driven )x( milage fee )
For her first trip:
(1) +240.5+=+4d+%2B+450m+
For her 2nd trip:
(2) +146+=+3d+%2B+200m+
-------------------------
Multiply both sides of (1) by +3+
Multiply both sides of (2) by +4+,
Then subtract (2) from (1)
Does anyone know the attached
Answers
Answer:76.7°
Step-by-step explanation:
Step-by-step explanation:
cos (phi) = a / b
cos (phi) = 6 / 26
phi = 76,7°
find the value of x and y.
Answers
Answer:
x = 11°
y = 56°
Step-by-step explanation:
6x -10 and 5x + 1 are the same because they are vertical angles. vertical angles are congruent
6x - 10 = 5x + 1x - 10 = 1x = 11°y and 5x - 1 are the same because they are corresponding.
y = 5x + 1y = 5(11) + 1y = 55 + 1y = 56-Chetan K
The Robinson family pays 19.75 at the movie theatre for 3 medium popcorns
Answers
Answer:
each popcorn 6.58
Step-by-step explanation:
divide 19.75 by 3 and get your answer
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Answers
Answer:
9 7/8 gallons of water.
Step-by-step explanation:
When you convert both mixed numbers into improper fractions with the same denominator, you can add the two fractions
5 3/8 as an improper fraction is 43/8, and 4 1/2 becomes 9/2. Multiply 9/2 by 4 to get the same denominators for both fractions.
43/8 + 36/8 = 79/8
79/8 as an improper fraction is 9 7/8.
When Sarah turned 18, she took $500 from her savings and opened a
ROTH IRA. Sarah chose to invest her money in a low fee index fund.
Based on historical data, Sarah predicts she can expect an average 7%
return on her money each year. If Sarah's prediction is correct, how
much will her $500 investment be worth when she is 68 years old?
(Assume she makes no other contributions to the account after the first
time)
Answers
The worth of Sarah's investment when she is 68 is $14,728.51.
What is the worth of the investment?The formula that can be used to determine the worth of the investment is:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years = 68 - 18 = 50
$500 x (1.07)^50 = $14,728.51
To learn more about future value, please check: https://brainly.com/question/18760477
Given two equations, MN = 20 and S=2-M+N Find the positive values of M and N . when S is minimum.
Answers
The positive values of M and N are; 3.6 and 5.6 respectively.
Simultaneous equationsWhen S is minimum, s can be equated to 0.
On this note, it follows that the resulting equations are;
MN = 200=2-M+NFrom Substitution of M = 2 +N in the second equation; it follows that;
(2+N)N = 20N² + 2N -20 = 0.Hence, upon solving the quadratic equation;
N = 5.6 or N = -3.6Therefore, the positive value of N is; 5.6 and hence,
M = 20/N = 20/5.6 = 3.6Read more on simultaneous equations;
https://brainly.com/question/16863577
The positive values of M and N are; 3.6 and 5.6 respectively.
Simultaneous equationsWhen S is minimum, s can be equated to 0.
On this note, it follows that the resulting equations are;
MN = 200=2-M+NFrom Substitution of M = 2 +N in the second equation; it follows that;
(2+N)N = 20N² + 2N -20 = 0.Hence, upon solving the quadratic equation;
N = 5.6 or N = -3.6Therefore, the positive value of N is; 5.6 and hence,
M = 20/N = 20/5.6 = 3.6Read more on simultaneous equations;
https://brainly.com/question/16863577
