Answer:
0.0588 = 5.88% probability that a middle-aged man with diabetes is very active
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has diabetes.
Event B: Is very active.
Probability of having diabetes:
To find this probability, we take in consideration that:
It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.
So the probability of developing diabetes is:
x of 4/5 = x of 0.8(not active)
x/4 = 0.25x of 1/5 = 0.2(very active). So
[tex]P(A) = 0.8x + 0.25*0.2x = 0.85x[/tex]
Probability of developing diabetes while being very active:
0.25x of 0.2. So
[tex]P(A \cap B) = 0.25x*0.2 = 0.05x[/tex]
What is the probability that a middle-aged man with diabetes is very active?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588[/tex]
0.0588 = 5.88% probability that a middle-aged man with diabetes is very active
Find the area of a trapezoid with bases of 6cm and 8cm and height of 12cm
Answer:
84cm
Step-by-step explanation:
have a good day! :)
Answer:
area = 84 cm
Step-by-step explanation:
[tex]A=\frac{a+b}{2}h[/tex]
The product of p and 5 write your expression here
The sum of 6 and x divided by 12 write your expression here
8 less than F write your expression here
The quotient of 15 and C added to the product of m and 2 write your expression here
Answer:
first one - 5p
second one - 6 + x/12
third one - f - 8
fourth one - 2m + 15/c
Step-by-step explanation:
solve the equation 20.5 = x + 4
Answer:
16.5
Step-by-step explanation:
20.5 = x + 4
16.5 = x
x = 16.5
Answer:
x = 16.5
Step-by-step explanation:
20.5 = x + 4
20.5 - 4 = x + 4-4
BRAINLEST☻
Which relation symbol makes this number sentence true?
5/6 ___ 10/16
<
>
Answer:
5/6 > 10/16
Step-by-step explanation:
5/6 is 83.33%
10/16 is 62.5%
Answer:
the correct answer is <
0.8<0.6
Help please!!
Two cars are traveling on the same road. The number of miles car A travels in x hours can be represented by the equation y = 46x. The graph below describes the motion of car B.
Which car is traveling the fastest? Explain.
A. Car B is Traveling the fastest. car B is traveling 4 miles faster than car A.
B. Cardi B is traveling the fastest. Car B is traveling 10 miles per hour faster than car A.
C. Car A Is traveling the fastest. Car is traveling 4 miles per hour faster than car B.
D. Car A is traveling the fastest. Car A is traveling 10 miles per hour faster than car B.
Ryan received $7 more than Ben every week.
Both of them saved $50 per week and spent the rest.
When Ryan had spent $56, Ben had only spent $28.
How much money did Ben receive every week?
If y varies directly as the x squaredand y = 200 when x = 5, what is the value of y when x = -3? a. Negative 72 b. 120 c. 72 d. Negative 120
Answer:
C i think
Step-by-step explanation:
Answer:
y varies as the x², y=200 when x=5
Step-by-step explanation:
y=(k)x
200=(k)5
200/5=40
therefore; y= -120 because
y=(40)-3
y=-120
Find x if the average of 19, 12, 14, 18, and x is 12.
Answer:
-3
Step-by-step explanation:
To do this, let's arrange it into an equation:
(19+12+14+18+x) / 5 = 12
Let's shift the 5 to the other side by multiplying 12 by 5, which is 60. Now the equation looks like this:
19+12+14+18 + x = 60
Now let's add 19, 12, 14 and 18 together, which is 63:
63 + x =60
Let's move the 63 over to the other side by subtracting it from 60, so 60-63 equals -3. Hence, the answer is -3. Hope this helps!
Solve for x
9(x - 2) = 18
Ox=0
OX= 20/9
O x = 16/9
Ox=4
Answer:
x=4
Step-by-step explanation:
Multiply 9 to x and -2
You get 9x-18=18
add 18 to both sides
you get
9x=36
divide 9 from both sides
x=4
=> 9x - 18 = 18
=> 9x = 18 + 18
=> 9x = 36
=> x = 36/9
=> x = 4 (Ans)
2x + 2 y = -2
3x - 2y = 12
Answer:
x=2 and y=-6 aka. (2,-6) which is the point of intersection
Step-by-step explanation:
Use elimination to cancel out y by adding the equations:
5x=10
x=2
Plug x=2 into one of the equations and find y:
2(5)+2y=-2
10+2y=-2
2y=-12
y=-6
Therefore, x=2 and y=-6
PlZ, HELP ME, PLZZZZZZZZZZZZZZZZZZ!!!!!!!
1/5 (2x+1)-1/10(2x-1)
!!!!!!!!!
Thanks!!!!!! You Humans are Genius'
Answer:
x=
37
17
Step-by-step explanation:
Find the sector are. Round your answer to the nearest tenth.
A. 254.5 m2
B. 93.5 m2
C. 848.2 m2
D. 14.1 m2
im almost sure its a ............
THERE IS 2 QUESTIONS PLEASE HELP ME
Answer:
I only know the first on and it's B
Minh made a histogram showing the number of pets for each of his friends.
How many more friends have 4 or 5 pets than have 2 or 3 pets?
2 friends
4 friends
5 friends
7 friends
Histogram titled Number of Pets. Histogram with vertical axis labeled Number of friends and horizontal axis labeled Number of pets. Bar labeled 0 or 1 has a height of 2. Bar labeled 2 or 3 has a height of 4. Bar labeled 4 or 5 has a height of 9. Bar labeled 6 or 7 has a height of 6.
Answer: the answer is C
Step-by-step explanation:
just answered it and it was correct :)
Answer:
c
Step-by-step explanation:
Find the 2nd term in expansion of (4-2x)⁴ Show steps
[tex]\huge\mathfrak\pink{Answer}[/tex]
(4 - 2x) ²
[tex]\bold{(4-2x)^{4} }[/tex]
[tex]\bold{[(4-2x)^{2}]^{2} }[/tex]
[tex]\bold{(4-2x)^{2}(4-2x)^{2} }[/tex]
Jace is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1 per mile driven. How much would a taxi ride cost if Jace is riding for 8 miles? How much would a taxi ride cost that is m m miles long?
Answer: Cost for 8 miles - 11
Cost for m miles - m+3
Step-by-step explanation:
If one dollar is charged for every miles then it would be 8 dollars plus the initial payment of f 3 dollars.
1.
Ahmal gets paid weekly at his summer job. He wants to save 15% of each paycheck. In four weeks, he earns these
amounts: $212.50, $235.00, $215.75, and $199.67. What is the total amount he will save for these four weeks?
Answer
UA. $31.88
B. $129.47
C. $733.65
D. $863.12
Answer:
$129.44
Step-by-step explanation:
15% of $212.50 + 15% of $235.00 + 15% of $215.75 + 15% of $199.67 =
= 0.15 * $212.50 + 0.15 * $235.00 + 0.15 * $215.75 + 0.15 * $199.67
= $31.88 + $35.25 + $32.36 + $29.95
= $129.44
Answer: $129.44
A national publication showed the following distribution of favorite class subjects for high school students.
Music
Other
Math
Social Studies
Class Subject
Percentage
English
141
Physical Education
26%
205
7%
5%
28%
Pasquale, a student from a high school of 1.200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and
asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
Submit
Other
Math
English
Physical Education
Social Studies
Class Subject
Observed
Music
6
6
8
6
7
He decides to conduct a chi-square goodness of-fit test to see whether his high school's distribution differs significantly from that of the publication Pasquale's statistics teacher tells him that his
information does not meet the conditions necessary for a goodness
of-fit test. Which condition has not been met?
1. Data are collected using a random sample or randomized experiment
IL n < 0.10N
III. All expected counts are greater than 5
Answer:
I and III
Step-by-step explanation:
In 4/5 hours, Manuel reads 3/4 chapters. What is the unit rate in chapters per hour?
Manuel reads 3/4 chapter in 4/5 hours.
Rate = Chapter / Hours
Rate = (3/4) / ( 4/5)
Rate = 0.75 / 0.80
Rate = 0.9375
So, Manuel reads the chapter with rate 0.9375 chapters/hour.
Answer:
1 1/5, i think sorry if its wrong
Step-by-step explanation:
Which statements about the end behavior of f (x) = StartFraction x squared + 1 Over x minus 1 EndFraction are true? Check all that apply. Limit of StartFraction x squared + 1 Over x minus 1 EndFraction as x approaches infinity = limit of StartFraction 1 Over x EndFraction as x approaches infinity Limit of StartFraction 1 Over x EndFraction as x approaches infinity = infinity The end behavior of the function is that as x →∞, y →∞. According to the leading terms, the limit of the function is 1 as x approaches ∞. The function does not have a horizontal asymptote.
Answer:
The end behavior of the function is that as x →∞, y →∞.
The function does not have a horizontal asymptote.
Step-by-step explanation:
Got it right on Edge.
Answer:
a,b,c
Step-by-step explanation: right on slide 4 of e2020
Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36
Answer:
We need to find the first term. We can use the formula
an = a1 + d(n - 1)
to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.
a12 = -36
d = -4
n = 12
-36 = a1 - 4(12 - 1)
-36 = a1 - 44
8 = a1
The first term is 8. Therefore, your formula is
an = 8 - 4(n - 1)
an = -4n + 12
Then use this formula to graph.
n is the independent variable.
an is the dependent variable.
Your graph will be a line.
n | an
___________
1 8
2 4
3 0
4 -4
5 -8
6 -12
Step-by-step explanation:
give me brainliest.
Convert 0.6 radians to degree measure.
Round your answer to the nearest hundredth.
what is the answer for 28*1/2 without any example
Answer:
14
Step-by-step explanation:
28 times 1/2 is the same as 28 divided by 2. 28 divided by 2 is equal to 14. Therefore, 28 times 1/2 is equal to 14.
If this has helped you please mark as brainliest
Answer:
14
Step-by-step explanation:
28÷1/2 or 28÷.5 =14
14+14=28
A farmer wants to divide his 2700 km2 of land into two separate pastures for his new horses by building a fence that will enclose both pastures. He wants one pasture to be twice the size as the other. What should the dimensions of the larger pasture be if he wants to use the least amount of fencing?
Answer:
Step-by-step explanation:
just a guess, it seems like you are asked about only dimensions of the big one, isnt that just 2/3 of 2700 km2. that is 1800km2 which = 60 km x 20km.
Answer:
All kinds of questions since you don't describe the enclosures.
Do the two fields have the same width?
Are there two disjointed fields with the same width and one length twice the other?
If they are joined by a common width, is that common width included in the total perimeter?
I guess this is d answer=60km×30km
For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.
(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey
Answer:
4x + 10
Step-by-step explanation:
Given
Let
[tex]t = time[/tex]
[tex]s = speed[/tex]
So:
[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours
[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours
Required
Distance covered in the first 2 hours
Distance (d) is calculated as:
[tex]Distance = speed * time[/tex]
i.e.
[tex]d = s * t[/tex]
For the first 2 hours, we have:
[tex]t = 2; s = (2x +5)[/tex]
So:
[tex]d = (2x + 5) * 2[/tex]
Open bracket
[tex]d =2x * 2 + 5 * 2[/tex]
[tex]d =4x + 10[/tex]
Hence, the distance covered in 4x + 10
Your gas company charges you a standing charge of 9 pence per day and 2 pence per kilowatt-hour (KWh).
In the last quarter (90 days) you used 500 units (m3) of gas. 1 unit is approximately 11.1KWh.
How much is your bill for the last quarter?
Answer:
$8.10 + 55.50 x $2 KW
= 8.10 + 111.00 = $119.10
Step-by-step explanation:
d = days and x = kw/h
9d = 2x = 9(90) = 500m3
1 unit m3 = 11.1 kwh
We rewrite
9(90) = 500 x 11.1
500 x 11.1 = 5550 KW
0.09 x 90 = 5550 KW
8.1 + 5550 x 0.02
= 8.1 + 111 KW
= 119.10
= $119.10
If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours
Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3
To Prove :
a×(b+c) = a×b + a×c
Solution :
Solving L.H.S. we get :
[tex]a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Solving R.H.S. we get :
[tex]a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Since, L.H.S = R.H.S
Therefore, the given equation is correct.
ln x-ln(x-5)=ln2
Help in this problem please having problems on my homework
which table shows data with variability?
Answer:
the table should show the data