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
Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.
The length of the bottom side of Drawing 2 is ______ cm. please help
David has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on an even number.(PLEASE HELP MATH &TH GRADE GONNA FAIL IF I DONT PASS)
Answer:
3/12
Step-by-step explanation:
What is the area of this parallelogram?
Answer:
30.6 if im wrong someone correct me in comments and explain why
Step-by-step explanation:
I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6
Easier way just add the two lengths and multiply it by height
If two triangles are similar what is true regrading the sides of the two triangles
Answer:
A triangle has 3 sides so if it has to add up all the sides it will be 6 and if u r mine-sing it will be 3 so i think the answer is 3
Step-by-step explanation:
and that is my answer to the problem se ya
A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the event that the sum of the numbers falling uppermost is 5. Determine whether Eand Fare independent events.Show your calculationsby describing the sample space, theeventsE and F, and combinations of these events as needed.
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]
Next, we list out the sample space of F
[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]
[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
In (1): the sample space of E is:
[tex]E = \{1\}[/tex]
So:
[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]
[tex]P(E) = \frac{1}{6}[/tex]
In (2): the sample space of F is:
[tex]F = \{5,5,5,5\}[/tex]
So:
[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]
[tex]P(F) =\frac{4}{36}[/tex]
[tex]P(F) =\frac{1}{9}[/tex]
For E and F to be independent:
[tex]P(E\ and\ F) = P(E) * P(F)[/tex]
Substitute values for P(E) and P(F)
This gives:
[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]
[tex]P(E\ and\ F) = \frac{1}{54}[/tex]
However, the actual value of P(E and F) is 0.
This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:
So:
[tex]P(E\ and\ F) = 0[/tex]
Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].
These values are not equal.
Hence: the two events are not independent
How do u calculate Pythagorean theorem and what is the formula
Answer:
The formula is
Step-by-step explanation:
a^2 + b^2 = c^2
hope this helps
3x+2x-13=47 solve for x
please show all the steps
Super easy. I just dont feel like adding it up.
What is the total monthly income for a person who works 12 hours a week, earning a net pay of $9 per hour. And they also receive $15 each week from their parents.
What is his total income for the month?
Answer:
Step-by-step explanation:
lets assume that the month has 4 weeks
12h/week with 9 dollars/hour
week=12*9=108
108+15=123
123*4 weeks=492 dollars month total income
Answer:
492
Step-by-step explanation:
9*12=108. I used January for this. there 4 weeks in it. so !08*4+15*4=492
HELP ILL GIVE BRAINLESS DUE SOON
Answer:
D) 39
Step-by-step explanation:
The numbers, put in order, are:
30 32 32 36 42 43 44 45
The median (middle) is between 36 and 42.
39 is halfway between 36 and 42.
Answer:
the answer is
D) 39
Step-by-step explanation:
Margarita's gross paycheck last week was $204.75 from working 21 hours. What is her hourly pay rate?
Answer:
$9.75
Step-by-step explanation:
This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)
plz help plzzzzzzzzzz
Which statements for 63.372 are true? Check all that are true. The digit 2 is in the thousandths place. The digit 7 is in the hundredths place. The digit 7 is in the thousandths place. The digit 3 is in the tenths place. The digit 2 is in the tenths place. please help with this question
Answer:
sorry
Step-by-step explanation:
sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..
10h + 3y + 6 -4h -y -2 simplified
Answer:
6 h + 2 y + 4 is your answer
Step-by-step explanation:
Hope this helps! :)
Answer:
6h+2y+4
Step-by-step explanation:
so all you do is just subtract common factors so for 10h you just do 10h -4h and get 6h and do that for the rest
Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?
O 13
O 14
O 3:1
Answer:
1:3
Step-by-step explanation:
but thats not and answer
what is the solution of this proportion 4/9 = 6/d
Answer:
d = 2/27
Remember that when a variable is times with a number you divide the number on both sides.
When a variable is divided by a number, you multiply the number on both sides.
Hope this helps you and thank you !!
Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose the correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP
Answer:
B and H.
Step-by-step explanation:
By the triangle inequality, any two sides of a triangle must be greater than the remaining side.
Triangle 1)
The side lengths are 9, 40, and 41.
We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.
Remember that if:
[tex]c^2=a^2+b^2[/tex]
We have a right triangle.
[tex]c^2>a^2+b^2[/tex]
We have an obtuse triangle.
And if:
[tex]c^2<a^2+b^2[/tex]
We have an acute triangle.
In all of these, c is the longest side.
Therefore, we will substitute 41 for c and 9 and 40 for the others:
[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]
Evaluate:
[tex]1681=1681[/tex]
Since the two values are equivalent, the first triangle is a right triangle.
Triangle 2)
Again, adding up the two smaller sides gives that 8 + 10 = 18.
However, 18 is less than 21, so it does not satisfy the triangle inequality.
Therefore, the given side lengths cannot form a triangle.
1. Which is greater 0.045 or 0.405?
Answer:
.038++++9675756-:-
Step-by-step explanation:
5582989(888888
The number 0.405 is greater than the number 0.045.
What is Decimal number?
A decimal number is a number that consists of a whole and a fractional part.
Given that;
The numbers are,
⇒ 0.045 and 0.405
Now,
In the numbers,
⇒ 0.045 and 0.405
The place value 4 in the number 0.045 = 4/100
And, The place value 4 in the number 0.450 = 4/10
Thus, The number 0.405 is greater than the number 0.045.
Learn more about the decimal number visit:
https://brainly.com/question/24342270
#SPJ2
whats the answer to -6 = 3/2z
Answer:
Step-by-step explanation:
-6=3/2z
-12z=3
z=-4
NEED HELP WITH GEOMETRY
Answer:
1. 37
2. 50
3. 50
4. 40
Step-by-step explanation:
hope I helped!!
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
What is the measure of ZABD?
Answer:
39
Step-by-step explanation:
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
HELP PLS DUE TOMORROW WILL GIVE BRAINLIEST
what information is necessary to prove the triangles congruent by SSS, and what information is necessary to prove the triangles congruent by HL? show work pls
Answer:
SSS: LM = AB and MN = AC
HL: AC = MN
Step-by-step explanation:
✔️Information that is necessary to prove that both triangles are congruent by SSS are:
LM = AB
MN = AC
This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.
✔️Information necessary to prove that the triangles are congruent by HL:
We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:
AC = MN
A fitness club charges its members a one-time fee of $40 and a monthly rate of $25. Let m represent the number of months. Write an expression for the total amount paid after m months. Then find how much a customer will have paid after 5 months. 6.EE 2, 6.EE 2a, 6.EE.6 Expression: Cost:
Answer:
40 + 25m
40 + 25(5) = $165 after 5 months
Step-by-step explanation:
40 + 25m
40 + 25(5) = $165
A dripping faucet leaps 1.8 ounces per minute. How many ounces leak in 30 minutes?
Answer:
54 ounces
Step-by-step explanation:
1.8 * 30 = 54
Solve for t.
5 = 2 + 3t
Answer:
T = 1
Step-by-step explanation:
5 - 2 = 3 since it has to be 3, T = 1, therefore, it will still be 3 and not any other number
Answer:
1
Step-by-step explanation:
3-2=1
(to check: 2+(3x1)= 5)
CAN SOMEONE PLEASE HELP ME?
Solve the equation: (5x+1/2)^2=9/16
Answer:
x=-7/160
Step-by-step explanation:
what is the leading coefficient for the polynomial -3x^2-5x-4
What are your plans for the future?Which profession would you like to pursue and why?
Answer:
I plan to finish my degree first and pursue my dreams of becoming a pilot, because that thing will help me and my family aside from that it's like I'm free to do whatever I want.
for every 5 green apples there are 2 red apples what is the raito
Answer:
5:2
Step-by-step explanation: