Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.
Answers
Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.
The graph is given by option B.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean of the distribution. From the z-score table, the p-value associated with the z-score is found, representing the percentile of the measure X.In the context of this problem, the mean and the standard deviation of the scores are given as follows:
[tex]\mu = 0, \sigma = 1[/tex]
The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (-1.66 - 0)/1
Z = -1.66
Z = -1.66 has a p-value of 0.0485.
1 - 0.0485 = 0.9515, which is the probability.
The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.
More can be learned about the normal distribution at https://brainly.com/question/4079902
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Related Questions
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 4 : 3. Find the number of blue marbles in the bag.
Answers
Answer:
9
Step-by-step explanation:
→ Divide the number of red marbles by the ratio of red marbles
12 ÷ 4 = 3
→ Multiply 3 by the ratio of 3
9
What is another word for the input values in a proportional table.
a) y-values
b) output values
c) plug in value
d) x-values
Answers
Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12
Answers
Answer:
x= 4, y= 1
Step-by-step explanation:
5x +3y= 23 -----(1)
2x +4y= 12
Divide both sides by 2:
x +2y= 6 -----(2)
(2) ×5:
5x +10y= 30 -----(3)
(3) -(1):
5x +10y -(5x +3y)= 30 -23
Expand, simplify:
5x +10y -5x -3y= 7
Divide both sides by 7:
7y= 7
y= 7 ÷7
y= 1
Substitute y= 1 into (2):
x +2(1)= 6
x +2= 6
x= 6 -2
x= 4
evaluate 10-(5-(4-(8-2))
Answers
=》The answer is 3.
Steps are in the attachment.
______
Hope it helps :)) ⚜
Answer:
The answer is 3
Step-by-step explanation:
By using PEMDAS, calculate the parenthesis first.
10-(5-(4-(8-2))
10-(5-(4-6)
10-(5-(-2)
10-7
= 3
A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 inches?
Answers
Answer:
9.5 hours
Step-by-step explanation:
The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is 1/4
of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D.
Part B: Simplify the expression and explain why the answer is negative or positive.
Answers
Answer:
6 ft.
Step-by-step explanation:
If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24 so the expression would be 1/4 x 24
im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.
hope this helps :)
Answer:
A. 1/4×24 ft
B. 6 ft, the product has no negative factors that would make it negative.
Step-by-step explanation:
A.1/4 of the elevation of city C can be written as ...
(1/4)(24 ft)
__
B.When the expression is simplified, it becomes ...
6 ft
The product of two positive numbers is positive.
When the Johnson family lights candles at 5:00 PM, each candle is 8 inches tall. The height of each candle changes by -3/4 inch for each hour that it burns. How tall will each candle be at 11:00 PM when the Johnsons put the candles out for the night?
Each candle will be___inches tall.
Answers
From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.
Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.
Therefore, the length of the candles at 11:00PM will be:
= 8 - (3/4 × 6)
= 8 - 4.5
= 3.5
In conclusion, the correct option is 3.5 inches tall.
Read related link on:
https://brainly.com/question/25711376
Answer: 3.5
just did it
Step-by-step explanation:
The sum of two consecutive even integers is 122. What are the two numbers?
Answers
Answer:
Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
The numbers are : 60 , 62
Step-by-step explanation:
Let the two consecutive even numbers be 2x , 2x + 2
2x + 2x + 2 = 122
Combine like terms
4x + 2 = 122
Subtract 2 from both sides
4x = 122 - 2
4x = 120
x = 120/4
x = 30
2x = 2*30 = 60
2x + 2 = 2*30 + 2 = 60 + 2 = 62
Solve the simultaneous equation
3x-4y=11
9x+2y=5
Answers
Answer:
I assume you are looking for the x and y values of the two equations? if not message me!
y=–2
x=1
Step-by-step explanation:
Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28
We can now divide both sides by 14 to get y by itself so we are left with: y=–2
plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1
To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)
Answer:
Below in bold.
Step-by-step explanation:
3x-4y=11
9x+2y=5
Multiply the first equation by 3:
9x - 12y = 33
Subtract the above from the second equation:
2y - (-12y) = 5 - 33
14y = -28
y = -2.
Now plug y = -2into the first equation:
3x - 4(-2) = 11
3x = 11 - 8 = 3
x= 1.
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answers
Answer:
answer is the number 5
Step-by-step explanation:
First you square root 9 which is 3. Then u 3-1= 2. then u times 2 by 6 which equals = 12. Then minus 7 from this number. 12-7=5 ur number is 5.
As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:
3 traditional country songs
6 traditional rock songs
4 hip-hop rap songs
5 contemporary country songs'
1 Latin rap song
3 traditional pop songs
What is the probability that the player will select some rap music next?
Answers
Answer:
the probability will be 18.18%
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Question and answer choices are in the SS attached!!!! Pls help me! ty!
Answers
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = [tex]\sqrt{592}[/tex]
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answers
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
What is dehydration reaction ?
Answers
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Step-by-step explanation:
Pls help WILL MARK BRAINLY also 34 POINTS
Answers
Answer:
X is 38, y is 27.
Step-by-step explanation:
This is because you are subtracting on the 90 degree angles.
Answer:
The answer is 27 degrees for x, and 38 degrees for y.
Step-by-step explanation:
There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.
Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?
Answers
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
Answer:
A = $40,516.88
Step-by-step explanation:
Assuming that interest is compounded annually:
The AMOUNT will be A = P(1 + r)^2, which here is
A = $35,000(1 + 0.05)^3, or
A = $40,516.88
if a ll b and line c is perpendicular to line a then line b and c are?
Answers
Answer:
perpendicular
Step-by-step explanation:
Answer:
Perpendicular
6973x63 pls explain how u did it!
Answers
Answer:
4,39299
Step-by-step explanation:
I multiplied 3 x all the numbers in 6,973, then 6 x all the numbers (I added a 0 before I multiplied, then added both the products and got my answer.
What is Calculus ???
Answers
Answer:
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Answer:
The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.
Step-by-step explanation:
Need help will give five starst and a thanks and MAYBE just MAYBE a brainleist.
Explain how to use the GCF and the distributive property to rewrite and solve subtraction problems.
Answers
Answer:
here u go
Step-by-step explanation:
pls help…. quickkkkkkkkkkk
Answers
Answer: b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The shading is above the line, so it must be ≥ or >.
The line is solid, so it must be ≥.
The only choice with ≥ is the answer.
Answer: B.
jonshelle is developing a new bread recipe. the relationship between cups of water,w, and cups of flour,f, is w= 3/5f. what is the scale to water to flour
Answers
Answer:
3:5
Step-by-step explanation:
ratio!
Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph
Answers
Answer:
inequality is:12 ≤ x ≤ 15
Step-by-step explanation:
the fiah population in crystal lake increased thisnyear by 30% last year population in crystal land was 3,500 how many fish are jn the lake this year
Answers
Answer:
The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan
Step-by-step explanation:
If f(x) =6(9)^x then f(1/2)=?
Answers
Answer: f(1/2) = 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
In order to find f(1/2), we want to substitute 1/2 for x in our equation.
[tex]f(\frac{1}{2}) = 6(9)^{\frac{1}{2} }[/tex]
Then we can solve.
[tex]9^\frac{1}{2}[/tex] = 3, which means our equation is now:
[tex]f(\frac{1}{2}) = 6(3)[/tex]
6 * 3 = 18, so now we have:
[tex]f(\frac{1}{2}) = 18[/tex]
What is the sun's approximate azimuth when it sets? PLEASE ANSWER I GIVE BRAINLIEST AND 20 POINTS PLEEEEEAAAAAASSSSSEEEEE!!
Answers
Answer:
At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.
Step-by-step explanation:
would this be A? Im not too sure about this.
Answers
Answer:
You're correct
Step-by-step explanation:
Basically, just add the answers with the given 67° until you get 180°
Morgan is buying packages of hotdogs and hamburgers. She is spending a total of $25. Hamburgers cost $9 and hotdogs cost $2. She bought a total of 9 packages.
Morgan wrote the following system of equation to model the scenario:
What does the variable "y" represent?
Answers
Step-by-step explanation:
I don't see the equations.
but I can build some myself :
x = number of hamburger packages
y = number of hotdogs packages
x + y = 9
9x + 2y = 25
the first equation tells us after moving y to the right side
x = -y + 9
and that we are using now in the second equation :
9(-y + 9) + 2y = 25
-9y + 81 + 2y = 25
-7y = -56
y = 8
x = -y + 9 = -8 + 9 = 1
In the given figure, PQ 11 RS, find the value of x.
Answers
Answer:
73 degrees
Step-by-step explanation:
Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.
So, now just subtract 50 from 123 to get x.
One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers. What lockers will be left open?
pls help this is due tmrw
Answers
Answer:
Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!