Answer:
3/20, 7.5%, 1/5, 45%
For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.
Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.
Answer:
The margin of error is [tex]E = 6.9 [/tex]
The 95% confidence interval is [tex] 26.5 < \mu < 40.3 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 31
The mean is [tex]\mu = 33.4 \ ng/ml[/tex]
The standard deviation is [tex]\sigma = 19.6 \ ng/ml[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{19.6 }{\sqrt{31 } }[/tex]
=> [tex]E = 6.9 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 33.4 - 6.9 < \mu < 33.4 + 6.9 [/tex]
=> [tex] 26.5 < \mu < 40.3 [/tex]
Colin weighs himself at 60kg to the nearest kg.
What is the least he could weigh?
f(x)=4x^2+2x+6
What is the value of the discriminant of f?
How many distinct real number zeros does f have ?
Answer:
It has ZERO distinct real number zeros.
f (x) = x squared What is f(x) + f(x) + f(x)?
Answer:
Step-by-step explanation:
fx^3
True or false the sum of two negative numbers is always negative explain why or why not this is true or false
Answer:
true
Step-by-step explanation:
Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account
Answer:
true!
Step-by-step explanation:
if you add negative numbers together, it will have to be negative because you are not adding positive numbers. same thing with positive numbers, if you add two positive numbers together, the sum will be a bigger positive number!
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity.
tan(x)sin(2x)
= tan(x)∙[2sin(x)cos(x)]
= StartFraction sine (x) Over cosine (x) EndFraction times 2 sine (x) cosine (x)
= 2sin2(x)
= 1 – cos(2x)
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.
What is double angle identity?The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)
Given
1 – cos(2x) = tan(x)sin(2x)
Taking R.H.S
tanx.sin2x
= tanx(2 sinx cosx)
2 sinx cosx is a double angle identity
= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]
[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent
= [tex]2sin^{2} x[/tex]
We have simplify by cancelling out cosx.
= 1 - cos(2x)
It is a double angle identity.
Find out more information about double angle identity here
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7 cards are drawn from a standard deck of 52 playing cards. How many different 7-card hands are possible if the drawing is done without replacement?
Answer:
The number of different 7 card hands possibility is 133784560
Step-by-step explanation:
The computation of the number of different 7 card hands possibility is shown below:
Here we use the combination as the orders of choosing it is not significant
So,
The number of the different hands possible would be
= [tex]^{52}C_7[/tex]
= 52! ÷ (7! × (52 - 7)!)
= 133784560
Hence, the number of different 7 card hands possibility is 133784560
When do you draw a hole in a piecewise function?
Answer:
you just draw a circle indicating that it is a hole. Your welcome
Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? NEED HELP PLEASE
Emily simplified this expression.
Expression: (5−2)2+23×4
Step 1: (3)2+23×4
Step 2: 9+23×4
Step 3: 9+9×4
Step 4: 9+36
Step 5: 45
Emily made a mistake. Which step shows her first mistake?
Step 1
Step 2
Step 3
Step 4
A certain bacteria multiply exponentially at a rate of 8% per day. If 2 bacteria exist initially, how many
will be present after 25 days?
Answer:
After 25 days will be present about 13.70 ≅ 13 bacteria
Step-by-step explanation:
The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where
a is the initial valuer is the rate in decimal∵ A certain bacteria multiply exponentially at a rate of 8% per day
→ Assume that y is the number of bacteria, x is the number of days
∴ r = 8% = [tex]\frac{8}{100}[/tex] = 0.08
∵ 2 bacteria exist initially
∴ a = 2
→ Substitute them in the form of the equation above
∵ y = 2 [tex](1+0.08)^{x}[/tex]
∴ y = 2 [tex](1.08)^{x}[/tex]
∵ x = 25
→ Substitute x in the equation by 25
∴ y = 2 [tex](1.08)^{25}[/tex]
∴ y = 13.69695
∴ After 25 days will be present about 13.70 bacteria
Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.
Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need
Answer: 7 boxes of pizza
Step-by-step explanation:
8x3=24
Answer:
David needs 3 pizzas.
Step-by-step explanation:
This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.
Which describes all decimals that are rational numbers?
Tbo dod
Answer:
Step-by-step explanation:
For starters, rational numbers are any numbers that has the capability to be written as a fraction.
For example, 0.5 is a decimal, and can also be written in form of a fraction, as 1/2
A recurring decimal can be written as a fraction. For example, we have 0.167 which can be written as 1/6
In the example, for the decimal 0.36425, we find the place value of the last digit. The last digit here is 5 placed in the hundred-thousandths place. On simplifying further into a fraction, we have 36425/100000.
what's the way to finding a solution?
ANOTHER QUESTION PLEASE HELP
Answer:
c) 4
Step-by-step explanation:
Area of a square is its length times its length, or length²
Square root of 16 is 4
Given the point and slope write the equation of the line (6, -6); slope = 5/6
Answer:
y=5/6x-11
Step-by-step explanation:
Slope intercept form: y=mx+b
With slope: y=5/6x+b
Replace x with 6 and y with -6
[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]
-6=5/6(6)+b
Simplify:
-6=5+b
Subtract 5 on both sides:
-11=b or b=-11
Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)
Hope this helps!
For the number line shown which statement is not true
upload the picture...
Jill walked 2 1/3 miles to the
treasure and then 1 3/4 miles back
to the boat. How many miles did
Jill walk in all?
Which statements best describes the difference between interest and debt
Answer:
I think the answer is C, interest is a fee charged for borrowing money, dept is the total amount of money owed.
Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year (data from 2010 to 2011). If emissions continue to increase at this rate, about how much higher will total emissions be in 2035 than in 2010? Using the approximate formula, emissions will increase by a factor of between 2010 and 2035. Using the exact formula, emissions will increase by a factor of between 2010 and 2035. (Round to two decimal places as needed.)
Answer:
125%
Step-by-step explanation:
5% multipled by 25 years (from 2010 - 2035) = 125%
And i aint never seen to pretty best friendsssss
If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.
What is the fundamental principlmultipliediplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year.
Using the approximate formula, we can see that the emissions will increase by a factor of between 2010 and 2035.
Using the exact formula, it can be seen that the emissions will increase by a factor of between 2010 and 2035.
Therefore, 5% multipled by 25 years (from 2010 - 2035)
0.05 x 25 = 125%
If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.
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Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5 x 10^7. His teacher told him he was incorrect. Explain Jordan’s mistake and determine the correct answer
Answer:
345,000,000 =3.45 x 10^8
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. This is Jordan mistake, 34.5 is greater than 10. Which is incorrect!
explanation:
you have 345,000,000
Keep moving the dot till you have 3.45
Then count how many spaces you've moved
To get to 3.45, it took you 8 moves so you would have 3.45*10^8 as your answer
(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point S is at (2,6). The distance (in units) between points T and S is
numbers, such as 2.)
Answer:
The distance between T and S is 10 units.
Step-by-step explanation:
Given the points
T(2, -4)S(2, 6)[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
The distance between T and S is:
[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]
[tex]=\sqrt{0+10^2}[/tex]
[tex]=\sqrt{10^2}[/tex]
[tex]=10[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
Therefore, the distance between T and S is 10 units.
Equivalent fraction of 12/126
Answer:
2/21
Step-by-step explanation:
Select the correct answer.
Which system of equations is satisfied by the solution shown in the graph?
Answer:
i think letter D because it's same
Answer:
one solution
Step-by-step explanation:
whats nine and 5 tenth in standard form
The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).
Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.
How many factors are in a B + CD + EF + GH
The given expression is
=ab+cd+ef+gh
The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction, Multiplication and Division.
→The expression consists of four terms which are, ab, cd, ef, and gh.
→Each term contains
Two factors.
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write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
25, 16, 12
A) Yes
B No
Answer: No
Step-by-step explanation:
To find out if it is a right triangle then use the formula a^2 + b^2 = c^2 where a and b are the legs which are the two small sides and c is the hypotenuse the longest side. Input the values for a, b, and c and solve.
a = 12
b = 16
c= 25
12^2 + 16^2 = 25^2
144 + 256 = 625
400 = 625
This means that it is not a right angle because 400 does not equal to 625.
Suppose a team is to be formed consisting of a head chef, sous chef, and dishwasher, in that order. What is the probability of forming such a team with 6 people?
Answer:
0.0083
Step-by-step explanation:
From the given information;
The total number of individual in the team = 3
The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = [tex]^{6}P_3[/tex]
= (6×5×4×3!)/3!
= 6×5×4
= 120 ways
The probability of forming such a team with 6 people = 1/120
= 0.0083
Which statement about the diagram is true
Answer:
AB have the length of 9
Step-by-step explanation:
5 is to short 14 is too long in between would be 9