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
Find the missing sides of the triangle.. Please Help
Answer:
there is no possible triangle
Step-by-step explanation:
an obtuse side has to have the largest angle, therefore there is no solution
what is the equivilent of 2(6x+2)
Answer:
12x+4
Step-by-step explanation:
2(6x+2)
2multiply both 6x and 2
12x+4
hope it's helpful ❤❤❤❤
THANK YOU.
#
Answer:
12x + 4
Step-by-step explanation:
I used the distributive property
2(6x + 2)
12x + 4
Let u= -9, 4 , v= 8, -5 . find u-v.
a- -1, -1
b- -13, 13
c- -17, 9
d- -4, -4
Answer:
C. -17, 9
Step-by-step explanation:
u = -9, 4
v = 8, -5
u - v
= (-9, 4) - (8, -5)
= (-9 - 8), (4 - (-5))
= -17, 9
7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?
Answer:
168
Step-by-step explanation:
First, find the unit rate (the amount it increases with every 1/8)
147 ÷ 7 = 21
Next, multiply that by the denominator (8)
21 x 8 = 168
The answer is 168
Answer:
1/168
Step-by-step explanation:
hope this is right but you divide both of them
Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio as of March is contained in the Excel Online file below. Use the spreadsheet to answer the following questions.
Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.
a. The Shadow Stock companies are listed in column A of the Excel worksheet provided above. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack by finding the smallest random number, the second smallest random number, etc. in column B using an Excel function.
The random numbers corresponding to the first 5 companies selected are (to 5 decimal places):
First company (smallest random number) ____
Second company (2nd smallest random number) ____
Third company (3rd smallest random number) _____
Fourth company (4th smallest random number) _____
Fifth company (5th smallest random number)______
0.15106
0.78664
0.46736
0.31288
0.05743
0.96845
0.70824
0.43701
0.68709
0.49262
0.69531
0.04123
0.51061
0.23796
0.92181
0.91875
0.97469
0.78824
0.30299
0.61512
0.83291
0.05894
0.76809
0.85076
0.61597
0.42998
0.92434
0.36411
0.72285
0.29854
Simplify each expression. Justify each step
4 x 9 x 50 =
Plz fast
If $5.000 is invested at a rate of 8%, compounded weekly, find the value of the investment after 7 years.
According to the graph, what is the experimental probability of selecting the letter C?
Number of occurrences of letters
16.7%
24%
16%
20%
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
The Answer is 0.16 = 16%
Skye needs 50 g of sugar to make 30 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Skye is going to make 120 biscuits.
(a) Work out the amount of flour she needs.
Answer:600g
Step-by-step explanation: 50x3=150 150x4=600 since 30x4=120
Hadley had $25,000 he had lost 30%. what does he have left
Pls answer allllll! I really need it
Answer:
7) I believe it is "The sum of the large rectangle is equal to the sum of the two smaller rectangles. 3 (x + 4)" But I am not sure.
8) Make it shorter and simpler by combining like terms
9) 5x , 2a + 3 + a + 4 , 6 + 2x + x2 + 1 + x
10) ac + bc = (a + b) c
Step-by-step explanation:
solve x^2-3x+1=0 using completing the square method
This won't be the easiest way to do this problem but as your teacher requires it I will do it that way. But at the end I will show another way to do it with the quadratic formula.
First complete the square
x^2-3x+1=0
(x^2-3x+9/4)+1=9/4
(x-3/2)^2=9/4-1
(x-3/2)^2=5/4
x-3/2=±[tex]\sqrt{\frac{5}{4}[/tex]
x= 3/2±[tex]\frac{\sqrt5}{2}[/tex]
Done!
*Now this next way is not the way your teacher wants you to do it but I personally think its easier.
Just use the quadratic formula x=[-b±sqrt(b^2-4ac)]/2
x=[3±sqrt(9-4*1*1)]/2
x=(3±sqrt5)/2
x=3/2±sqrt5/2
We get the same answer but I think this way is easier. Now if your teacher ask for the top way just do the top way don't do the bottom because you will lose points, its just a shorter way to do things. Now I hope this helped and any additional questions about this just ask me in the comments.
which has a greater quantity 50% or 30%
Answer:
50%
Step-by-step explanation:
50% is half of a quantity, while 30% is less than half.
Answer:
..
50% is greater than 30%
Step-by-step explanation:
ooooo
Suppose a certain city has 50 licensed restaurants, of which 15 currently have at least one serious health code violation and the other 35 have no serious violations. There are five inspectors, each of whom will inspect one restaurant during the coming week. The name of each restaurant is written on a different slip of paper, and after the slips ate thoroughly mixed, each inspector in turn draws one of the slips without replacement. Label the jth trial as a success if the ith restaurant selected has no serious violations. A certain state has 500,000 licensed drivers, of whom 400,000 are insured. A sample of 10 drivers chosen without replacement. The ith trial is labeled if the ith driver chosen is insured. Although this situation would seem identical to the example above, the important difference is that the size of the population being sampled is very large relative to the sample size. In this case
P(S on 2 S on 1) = 399, 999/499, 999 = _________
(rounded to five decimal places.)
and
P(S on 10 S on first 9) = 399, 991/499, 991 = ___________
(rounded to six decimal places) = 0.80000
These calculations suggest that although the trials are not exactly independent, the conditional probabilities differ so slightly from one another that for practical purposes the trials can be regarded as with constant P(s) =_______ (rounded to one decimal place). Thus, to a very good approximation, the experiment is with n = 10 and p = 0.8.
Answer:
P(S on 2 S on 1) = 0.80000
P(S on 10 S on first 9) = 0.799996
P(S) = 0.8
Step-by-step explanation:
Given :
P(S on 2 S on 1)
= 399, 999/499, 999
= 0.80000
P(S on 10 S on first 9)
= 399, 991/499, 991
= 0.799996
P(S) = 0.8
4 1/2 x 4 1/2? write in a decimal
Answer:
4 1/2×4 1/2=9/2×9/2=81/4=20.25
4 1/2×4 1/2=9/2×9/2=81/4=20 1/4 .
If the figure is a regular polygon solve for x 7x + 3
Answer:
The answer is 7 x + 3 =24 because its a problem solving
The requried simplified value of the 12 sided-polygon is given as 21.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
The polygon given has 12 sides,
The angle of the polygon is given as,
7x + 3 = (n - 2) × 180/n
7x + 3 = (12 - 2) × 180/12
7x + 3 = 10×15
7x = 150 - 3
x = 147/7
x = 21
Thus, the requried simplified value of the 12 sided-polygon is given as 21.
Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ5
James bought a television that was on sale for 3/4 of the original price, the original price was 749.99 what was the sale price in dollars of the tv round your answer to the nearest cent
Solve the formula for the specified variable.
I = Prt
P=
Step-by-step explanation:
I= PRTP=I/RT................What is the slope of the line: Y= -5x subtract 15?
Answer:-5
Step-by-step explanation:
m is considered the slope
y=mx-15
And in this situation m=-5
So slope = -5
Home Prices The median selling price of an existing home in the United States increased continuously over the period 2011–2013 at the rate of 8.5% per year from approximately $166,000 in 2011.27 Write down a formula that predicts the median selling price of an existing home t years after 2011. Use your model to estimate, to the nearest $1,000, the median selling price of an existing home in 2013 and 2015
Answer:
166,000(1 + 0.085)^t ; $195,000 ; $230,000
Step-by-step explanation:
Given that :
Rate of increase = 8.5% = 0.085 per year
Initial value ; price in 2011 (A) = $166,000
Formula to predict the median price t years after 2011 ;
At a continous rate :
Median price, P:
P = initial price (1 + rate)^t
P = 166,000(1 + 0.085)^t
t = time since 2011 ;
Median price of home in 2013:
t = 2013 - 2011 = 2
P = 166,000(1 + 0.085)^2
P = 166000(1.085)^2
P = 166000(1.177225)
P = 195419.35
P = $195,000 ( nearest $1000)
Median price of home in 2013:
t = 2015 - 2011 = 4
P = 166,000(1 + 0.085)^4
P = 166000(1.085)^4
P = 166000(1.385858700625)
P = 230052.54430375
P = $230,000 ( nearest $1000)
Are these congruent (PLEASE HELPPP)
Answer:
all of them are congruent
Step-by-step explanation:
HOPE IT HELPS YOU
Thorton's department store has a 30% off sale this week what is the sale price for a pair of $24 jeans
Answer:
The Sale Price is $16.80 Dollars
Step-by-step explanation:
First I find out what 30% of 24 is.
24 * 30% = 7.2
Next we subtract.
24 - 7.2 = 16.80
So, the answer is 16.80
Hope this helps! :)
Which fraction has the same value as 0.3
Evelyn jogs around the park every 4 1/4 minutes. How many laps will she jog in 38 1/4 minutes?
34
43
42 1/2
9
Answer:
Step-by-step explanation:
38.25 minutes × (1 lap)/(4.25 minutes) = 9 laps
A game is packaged in a box. Each game cube has a side length of 2 inches.
How many games can be packed inside of a box whose dimensions are 1 foot by 1 foot by 2 feet?
3456 games
8 games
432 games
8 cubic inches
Answer:
432
Step-by-step explanation:
6 games x 6 games x 12 games = 432 games
HELP ILL GIVE BRAINLESS DUE SOON
Answer:
f x 3=8
Step-by-step explanation:
What is the total area? Use 3 for Pi.
Answer fast pls!! xx
Solve the equation: 3x - 2/4 = 2x – 8 Explain your reasoning / show work:
Simplify.
289
A)
17
18
C)
19
D)
20
I need help
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
have a good day bro
(-7) + b = -12
what is b?
Answer:
it would be -5, because when they are the same signs, you keep the sign and add the numbers, so -7 +-5=-12
Step-by-step explanation:
