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Problem 3.39) Suppose that 10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition. Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic
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Answer:
0.2916 = 29.16% probability that one of them is pre-diabetic
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.
This means that [tex]p = 0.1[/tex]
Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic
This is P(X = 1) when n = 4. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]
0.2916 = 29.16% probability that one of them is pre-diabetic
Help Now!!Will give brainly!!!
Answers
Answer:
a. 202.5 m³
Step-by-step explanation:
Volume = a² × h/3
Where a is the side length and h is the height
Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. Where on the number line can this rabbit be now?
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Answer:
8
Step-by-step explanation:
Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140g flour
5G butter
Simon makes 4 pancakes. Work out how much milk he needs.
Craig makes 12 pancakes. Work out how much butter he needs.
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Answer:
250ml milk ÷ 2 = 125 ml of milk
(5÷8) x 12 = 7.5G butter
hope this helped :)
John had to different syrups. Syrup A is 2 parts sugar and 8 parts water, and Syrup B is 3 parts syrup and 5 parts water. How much of each should John mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water?
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It all started when my mom met my dad...
You'll know the rest
What are the answers?
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Answer:
Step-by-step explanation:
4(8x+16) = 32x + 64 = perimeter
(Sorry don't know what it means by factor)
What is the value of q?
a. 4√5
b. 2√14
c. 20√5
d. 64√5
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9514 1404 393
Answer:
(b) 2√14
Step-by-step explanation:
The geometric mean theorems applicable to this geometry are ...
q = √(4·(4+10))
q = 2√14
__
Other unknowns
r = √(10·(10+4)) = 2√35
s = √(10·4) = 2√10
Reduce the ratio to its lowest form 12:30
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Answer:
2/5
Step-by-step explanation:
Reduced fraction: 25. So, 12/30 simplified to lowest terms is 2/5.
Hope this helps!
Explain your answer
Thank you so much !
Will give brainlst
Answers
Answer:
D
Step-by-step explanation:
The amount of oil and natural gas a given region produces is not always proportionate to the size of its proven reserves. For example, the Middle East contains approximately 50 percent of the world’s proven reserves but accounts for only about 30 percent of global oil production (though this figure is still higher than in any other region). The United States, by contrast, lays claim to less than 2 percent of the world’s proven reserves but produces roughly 16 percent of the world’s oil.
Directions: select the correct answer from the drop-down menu.
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Answer:
B
Step-by-step explanation:
B.) infinite solutions.
The reason I say this is because there is an arrow pointing down past the number line meaning that the number line never ends.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
Which of the following is a quadratic equation whose roots are 3 and -1?
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(x-3)(x+1)
x^2-2x-3
Answer:
JK up FMyRick they rock TBD Trinity scrump TV TM in
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor
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Answer:
229 ft²
Step-by-step explanation:
Note that the volume is 2061 ft³, not 2061 ft.
area of floor = volume÷height = (2061 ft³)/(9 ft) = 229 ft²
Each tile is 3/2 feet by 3/2 feet. There are 10 tiles on the bathroom floor.
What is the area covered by the tiles?
Explain how you know.
Answers
9514 1404 393
Answer:
22.5 square feet
Step-by-step explanation:
The area covered by one tile is the product of its dimensions:
A = lw
A = (3/2 ft)(3/2 ft) = 9/4 ft²
The area covered by 10 tiles is 10 times the area covered by one tile. The area covered is ...
covered by tiles = 10 × 9/4 ft² = 90/4 ft²
covered by tiles = 22.5 ft²
22 1/2 square feet is the area covered by tiles.
8. Read this question carefully. PLEASE NEED HELP NOWWW
At a dinner, the meal cost $32.00 and a sales tax of $2.40 was added to
the bill.
a. How much would the sales tax be on a $66.00 meal?
b. What is the tax rate for meals at this restaurant?

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Answer:
a.70.95
b. 7.5
Step-by-step explanation
If you divide 2.40 by 32, you get the ratio of the tip to cost, which is 0.075, or 7.5 percent. Multiply 66 by 1.075, which includes both the cost and the tax.
Elimination method 10x-4y=-8
-5x+6y=10
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-10x+12y=20
Add it to the first equation
10x-4y=-8
-10x+12y=20
——————-
0x+8y=12
y = 1.5
10x-4(1.5)=-8
10x = -2
x = -1/5
HELP FAST PLSSSS IM DESPERATE RLLY
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5. Find the slope of this line.
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Answer:
3/2
Step-by-step explanation:
rise/run
Sarah leans a 20 ft ladder against
the side of her house so that the
base of the ladder is 14 ft from the
house ABOUT how far up the side
of the house does the ladder reach?
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Answer:
(a) 14
this is what i got
20 points for this question
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Answer:
Step-by-step explanation:jk
Answer:
10
Step-by-step explanation:
x - 4y = 1 and 3x + 2y = -11. What is the solution to the system of equations?
Answers
Answer:
x=-3 y=-1
Step-by-step explanation:
The solution is
The value of x = -3
The value of y = -1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be = A
Now , the value of A is
x - 4y = 1 be equation (1)
Let the first equation be = B
Now , the value of B is
3x + 2y = -11 be equation (2)
Now , on simplifying both equations , we get
Multiply equation (1) by 3 , we get
3x - 12y = 3 be equation (3)
Subtracting equation (2) from equation (3) , we get
-12y - 2y = 3 - ( -11 )
-14y = 14
Divide by -14 on both sides of the equation , we get
y = -1
So , the value of y = -1
Substitute the value of y in equation (1) , we get
x - 4y = 1
x - 4 ( -1 ) = 1
x + 4 = 1
Subtracting 4 on both sides of the equation , we get
x = -3
So , the value of x = -3
Hence , the value of x is -3 and value of y is -1
To learn more about equations click :
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Cary puts $500 into a savings account that earns 5.5% annually. The amount in her account can be modeled by C(t) = 500(1.055)t, where t is the time in years.
Write the expression best approximates the amount of money in her account using a weekly growth rate. (DO NOT ROUND ANY NUMBERS)
***Just need some clarification, it says there is annual growth rate but the question is asking that I change the function into weekly growth rate so...how do I do that?
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Answer:
Answer: a) A(t)= $500(1.055)^t
b) Amount after 9 years A(9) = $809.55
Amount after 17 years A(17) = $1242.40
sorry if im wrong
Step-by-step explanation:
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
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The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
learn more about median, please check: https://brainly.com/question/20434777
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What is the scale factor of the dilation shown?
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I just counted how many units GF was and I came out with 5. Then I looked at the length of G’F’ and saw that it was at 20 units. 20/5=4
Evaluate the following expression if x=4 28x - 9 (2x+ 6)
Answers
Answer:
-14
Step-by-step explanation:
substitute 4 for x
28(4) - 9 (2(4)+ 6)
multiply
112-9(8+6)
add numbers
112-9(14)
multiply
112-126
subtract
-14
The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
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Answer:
The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Step-by-step explanation:
The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:
[tex]P = 2l + 2w[/tex]
In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.
In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex] and [tex]\sqrt{200a^3}\:\:[/tex].
Here is the student's solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
[tex]=30ab\sqrt{2a}[/tex]
The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.
Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]
Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Here is the correct Solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
Answer:
D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a
Step-by-step explanation:
Just did it.
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
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Answer:
There are two ways of decomposing these shapes, Into two rectangles and one triangle!
Step-by-step explanation:
Just did this on EDMENTUM you got thiss!
Dont forget to eat a brownie! <3
Answer:
There are two ways of splitting the shape into two rectangles and one triangle.
Step-by-step explanation:
Determine whether the ratios 1:2 and 3:4 are equivalent
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Answer:
They are not equivalent
Step-by-step explanation:
1:2 is the same as 2:4
2:4 does not equal 3:4
2. Select all of the numbers that Courtney could multiply by 72,033 to get a product LESS than 72,033 (2 Points)
A. 1 and 3/4
B.718
C.2
D. 1/6
E. 12/8
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Answer:
Step-by-step explanation:
It's not A since that means 1 3/4 or 7/4. That isn't a possible answer since 7/4 is greater than 1.
B: not the answer. You'll make 72000 almost 1000 times bigger if you use B.
C: same reason as B. Anything over 1 will make 72033 larger, not smaller
E: 12/8 > 1. It can't work.
The answer is d . Try it on your calculator. Anything between 0 and 1 make make any number smaller. (include zero, don't include 1).
help please asap i will give you a heart if you do
Answers
Answer:
30
Step-by-step explanation:
2(6)=12
3(6)=18
12+18=30
Step-by-step explanation:
its 30 2(6)=12 3(6)=18
30
Marta drew a rectangular poster.
·The length of the rectangle was
2/3 of a yard.
·The width of the rectangle was
3/4 of a yard.
What was the area of Marta’s rectangle?
A. 1/2 yard
B. 5/12 yard
C. 5/7 yard
D. 1 5/12 yards
Answers
Answer:
1/2 yard
Step-by-step explanation:
Multiply the top numbers (the numerators). Which would give you 6.
Multiply the bottom numbers (the denominators). Which would leave you with 12.
Simplify the fraction if needed. 6/12 can be simplified down to 1/2