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
translating the following mathematical expressions into phrases
[tex]x^{2}[/tex]-12
[tex]\frac{2x}{3} +1[/tex]
[tex]x^{3}-8[/tex]
Answers
Answer:
1) a number squared, reduced by 12
2) the quantity of twice a number divided by 3, increased by 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first expression reads "x squared less (or minus) 12."
The second expression becomes "the quotient 2x/3 plus one." Note that 2x/3 must be computed before "one" is added, due to order of operations rules.
The third expression reads "8 less than the cube of x."
solve the proportion (someone pls help)
Answers
x=6
Step-by-step explanation:
4/3=8/6
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[tex]\huge\underline\mathtt\colorbox{cyan}{As SIMPLE as that}[/tex]
A number is 5 less than 2 times another number. Their sum is 25. What are the 2 numbers ?
Answers
Answer:
I don't understand the question but I think the answer is either 10 or 30
The area of a rectangle is 60 square inches.
The length is x - 3, and the width is x +8.
Find the value of x, and the dimensions of the rectangle.
A = lw
Answers
Q4
The original price of a doll is $36. It is discounted in a sale by 15%.
What is the sale price of the doll?
$
Answers
Answer:
The sale price of the doll is $30.6
Step-by-step explanation:
The original price of the doll
= $36
Discount:-
= 15% of 36
= 15%×36
= 15/100×36
= 5.4
Sale price of the doll
= original price - discount
= $(36 - 5.4)
= $30.6
Could someone please help?
Answers
Answer:
snap for secsy pics
Step-by-step explanation:
cat.lover
Need help will give brainliest!!
Answers
Answer:
Step-by-step explanation:
zoom factor=1/2
new dimensions=11/2,16/2
or 5.5 ,8
How do you give Brainliest?
Answers
Answer:
You press a little crow looking thing on the bottom of the persons answer
Step-by-step explanation:
what is the volume of the prism ?
Answers
Answer:
150 units squared
Step-by-step explanation:
whats the answer to this numeric algebraic expression
Answers
Answer:
a+b+2
Step-by-step explanation:
Find the midpoint of the following
two coordinates:
(3, 1) and (5,5)
Hint: x1 + x2 Y1 + y2
2.
9
2.
A. (3, 4)
B. (2, 4)
C. (4,3)
Answers
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Answer:
C, just use the formula.
Step-by-step explanation:
A cell phone company charges a monthly fee plus $0.25 for each text message you send. The monthly fee is $30.00 . You owe $59.50. How many text messages did you send?
Answers
59.50-30=29.5
29.5 divided by 0.25=118.
I hope this is right! :) Sorry if it isn’t!
Answer:
Excluding the monthly fee of $30 dollars.
Step-by-step explanation:
$30-$59.50 = $29.50
multiply $0.25 by 118 and you'll get exactly $29.50
the answer is " I sent 118 Text messages "
mike bought a 24 pack of mountain dew for $8.40. write and solve an equation to calculate how much each indivdual can soda cost
Answers
Answer:
$0.31
Step-by-step explanation:
You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answers
Answer:
(x + 11) ÷ 9 = 67
or
[tex]\frac{(x + 11)}{9}[/tex] = 67
Step-by-step explanation:
Let x be the number
factorise first then solve these equations
1.
x^2+5x+4=0
2.
a^2+7a+12=0
Answers
So x=-4 x=-1
2) factorised is (a-4)(a-3)=0
So a=4 a=3
if angle PQR equal 15 degrees in the triangle PQR, what is the value of u?
Answers
Answer:
a.
Step-by-step explanation:
Using the formula find the slope of a line with these two points (2,10) and (5,15).
Answers
Answer:
1.66667
Step-by-step explanation:
using online slope calculater
is this correct? if not what is the correct answer?
Answers
6 soaps comparing to the other 5 = 30 different comparisons:
30 x 2,000 = 60,000
Answer: H. $60,000
How can I find a rule in a math question
Answers
Answer:
Step-by-step explanation:
How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
I NEED HELP please help
Answers
Answer:
1. 2/5, 2. -1. 3. 5/2, 4. 1, 5. 1/5, 6. -4/3, 7. 1/3, 8. -1/10
Step-by-step explanation:
1-3: the formula for slope is (y2 - y1)/(x2 - x1) for points (x1, y1) and (x2, y2)
1. we have points (-2, -1) and (3,1) ,plug these into the formula to get (1-(-1))/(3-(-2)) = (1+1)/(3+2) = 2/5 so the slope is 2/5
2. we have points (-3, 2) and (2, -3): (-3-2)/(2-(-3)) = -5/5 = -1
3. (-1, -2) (1,3): (3-(-2))/(1-(-1)) = 5/2
4-6: you can use the same formula
4: (1,0) (3,2): (2-0)/(3-1) = 2/2 = 1
5. (8,0) ( 13, 1) (1-0)/(13-8) = 1/5
6. (2, -1) ( 5, -5) (-5+1)/(5-2) = -4/3
7-8: slope= rise/run
7. rise=8, run=24, 8/24=1/3
8. rise=-100, run=1000, slope= -100/1000 = -1/10
4x−7y=48? i need the fraction
Answers
Answer: y = -48/7 + 4x/7
What is the value of the discriminant, b2
about the number of real solutions the equation has?
4ac, for the quadratic equation 0 x^2 - 4x + 5, and what does it mean
about the number of real solutions the equation has ?
The discriminant is -4 , so the 2 equation has 2 real solutions.
The discriminant is -4, so the equation has no real solutions.
The discriminant is 35, so the 2 equation has 2 real solutions
The discriminant is 35 , so the equation has no real solutions.
Answers
Answer: Choice B
Discriminant = -4; no real solutions
===========================================================
Explanation:
The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5
We see that
a = 1
b = -4
c = 5
The discriminant is
d = b^2 - 4ac
d = (-4)^2 - 4(1)(5)
d = 16 - 20
d = -4
The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]
Answer:
The discriminant is -4, so the equation has no real solutions.
Step-by-step explanation:
The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:
[tex]\Delta = b^2 -4ac[/tex]
So our variables are:
[tex]a = 1[/tex]
[tex]b = -4[/tex]
[tex]c = 5[/tex]
Replacing in the formula for find the discriminant we have:
[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]
Now if you remember the quadratic formula is the next
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).
If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.
[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]
How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:
[tex]\sqrt[2n]{-a} = \text{not found}[/tex]
For this we can assure that doesn't exist solutions in the real numbers, so the equation has no real solutions.
What is 28% of 63%? Round your answer to the nearest tenth
Answers
Answer: 17%
Step-by-step explanation:
1. First divide the percentages by 100 to turn the percentages into a decimal (28/100) x (63/100) = 0.1764
2. Then turn that decimal into a percentage again.
0.1764 x 100 = 17.64 but if you’re rounding to the nearest tenth without any decimals it’ll just be 17%
For a ride on a rental scooter, Rafael paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for Rafael's ride was $18.64. For how many minutes did Rafael ride the scooter?
Answers
Answer:
158 minutes
Step-by-step explanation:
If m represents the number of minutes Rafael rode, his total bill is ...
0.08m +6.00 = 18.64 . . . . cost to start plus cost based on time
0.08m = 12.64 . . . . . . . . . . subtract 6
m = 12.64/0.08 = 158 . . . . divide by 0.08
Rafael rode the scooter for 158 minutes.
Helpppppppppppppppppppp
Answers
25 points! I really need some help.
Answers
Answer:
c ≤ 4 1/3
Step-by-step explanation:
10.25 + 2.25c ≤ 20 solve the equation if there was an = in the equation
10.25 + 2.25c = 20
-10.25 = -10.25
2.25c = 9.75
c = 9.75 ÷2.25
c = 4.3333
[tex]c = 4\frac{1}{3}[/tex]
Now replace the ≤ into the equation:
c ≤ 4 1/3
If d varies directly as t and d=20.5 when t =12 find the value of constant
Answers
Answer:
12÷20.5= 0.5953658537
help plss c:
a family wishes to determine the distance from their home to the nearest park. on a coordinate grid, the house sits at (0,0), and the park at (16,11)
using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
Answers
Answer:
components: {16,11}, distance: 194.16 yards
Step-by-step explanation:
to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)
16 and 11 are the distances from her house
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
but we dont stop here
we have to convert this to yards by multiplying it by ten
19.416 * 10 = 194.16 yards
Answer:
B
Step-by-step explanation:
Just did the test
What is cuneiform?
A. a specific style of architecture
B. a method used to create pottery
C. writing system using wedge-shaped symbols
D. an artistic era filled with achievements in art
Answers
Answer: Pretty shure it's C
Step-by-step explanation:
c. writing system using wedge-shaped symbols
You spin the spinner once. What is P(factor of 90)?
Answers
Answer:
1
Step-by-step explanation:
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