Answer:
a) 0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.
b) 0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they visit their doctors for a physical examination at least once in two years, or they do not. The probability of a woman visiting their doctor at least once in this period is independent of any other women. This means that 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.
70% of adult women visit their doctors for a physical examination at least once in two years.
This means that [tex]p = 0.7[/tex]
20 adult women
This means that [tex]n = 20[/tex]
(a) Fewer than 14 of them have had a physical examination in the past two years.
This is:
[tex]P(X < 14) = 1 - P(X \geq 14)[/tex]
In which
[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 14) = C_{20,14}.(0.7)^{14}.(0.3)^{6} = 0.1916[/tex]
[tex]P(X = 15) = C_{20,15}.(0.7)^{15}.(0.3)^{5} = 0.1789[/tex]
[tex]P(X = 16) = C_{20,16}.(0.7)^{16}.(0.3)^{4} = 0.1304[/tex]
[tex]P(X = 17) = C_{20,14}.(0.7)^{17}.(0.3)^{3} = 0.0716[/tex]
[tex]P(X = 18) = C_{20,18}.(0.7)^{18}.(0.3)^{2} = 0.0278[/tex]
[tex]P(X = 19) = C_{20,19}.(0.7)^{19}.(0.3)^{1} = 0.0068[/tex]
[tex]P(X = 20) = C_{20,20}.(0.7)^{20}.(0.3)^{0} = 0.0008[/tex]
So
[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.6079[/tex]
[tex]P(X < 14) = 1 - P(X \geq 14) = 1 - 0.6079 = 0.3921[/tex]
0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.
(b) At least 17 of them have had a physical examination in the past two years
[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]
From the values found in item (a).
[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.107[/tex]
0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.
if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x
Answer:
x = 5.
Step-by-step explanation:
The area of a rectangle can be determined by the following formula.
A = l ⋅ w
l stands for length or the longer side.
w stands for width or the shorter side.
Now, we can plug the values we are given into the equation.
A = ( x − 2 ) ⋅ ( x + 8 )
The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.
A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16
Now, we can plug in the given value for the area.
39 = x 2 + 6 x − 16
Next, we simplify by moving all terms to one side and factor the equation.
0 = x 2 + 6 x − 55
Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.
0= ( x − 5 ) ⋅ ( x + 11 )
If the equation ultimately equals zero, either ( x − 5 ) or ( x + 11 ) or both equal zero. Therefore, we set each equal to zero to find the value of
x .
x − 5 = 0 x = 5 x + 11 = 0
x = − 11
Since x is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.
how might the area of a room affect the way the room is used?
Answer:
The more area a room has the more things you can put in it
Step-by-step explanation:
Which statement is true about the relationship between the height of the plant and the number of days? This relationship is a function because the plant can only be one height at a time. This relationship is not a function because the plant can only be one height at a time. This relationship is a function because the plant can be more than one height at a time. This relationship is not a function because the plant can be more than one height at a time.
Answer:
This relationship is a function because the plant can only be one height at a time.
Step-by-step explanation:
Functions occur when the recorded x-value is varied each time. Since the height of the plant (the x-value) varies each day, it is a function.
PLEASE HELP! I WILL GIVE YOU BRAINLIEST
Answer:
A(-3,-4)
B(-1,-2)
C(-4,-1)
In the school band, 8/24 of the members play the trumpet. In simplest form, what fraction of the band plays the trumpet?
what is solution to
12²-5²
Answer:
119.
Step-by-step explanation:
12x12 is 144
5x5 is 25
144-25 = 119
CAN ANYONE HELP ME ASAP AND THANKS:)
Answer:
true, true, false
Step-by-step explanation:
the sales do not decrease between week 4 and 5
Answer:
The answer is True, True, False
Step-by-step explanation:
For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.
For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.
For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.
Hope this helps!
Plzzz help asappppppoppp
Answer:
C
Step-by-step explanation:
The area of the rectangle below is 18 square units. What is the width of the rectangle? if the length is 3 3/4
Answer:
5.76 units
Step-by-step explanation:
3 3/4= 3.125
18÷3.125=5.76
Sorry if I'm wrong.
Please mark me as Brainliest.
I WILL GIVR U BRAINERLEST AND A LIKE
The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answer:2.7
Step-by-step explanation:
Just multily the 2 products
what is the measurement?
this question involves trig
sinx=p/h -----> some people have
cosx=b/h ----> curly brown hair
tanx=p/b -----> through proper brushing
we have p and h in this question so we can use the first formula
[tex]sinx=\frac{23}{28} \\x=sinx^{-1} \frac{23}{28} \\x=55.2[/tex]
Answer:
55.2
Step-by-step explanation:
sinx= 23/28
multiple both sides by inverse sin
x= sin^-1(23/28)
x= 55.2
In a math class with 21 students, a test was given the same day that an assignment was due. There were 12 students who passed the test and 14 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they failed the test?
Answer:
5/9
Step-by-step explanation:
The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9
Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:
p = 5/9 = 0.5556.
0.5556 = 55.56% probability that a student completed the homework given that they failed the test.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
Mr. Esposito is 5 foot 11 inches tall. Mrs. Humbert is 63 inches tall. Who is taller and by how much?
Answer:
Mr. Esposito is taller By 8 inches
Step-by-step explanation:
5 feet and 11 inches is equal to 71 inches. And 71 inches is greater than 63 inches. Therefore, Mr. Esposito is taller.
(71-63=8)
DON'T FORGET TO DOUBLE-CHECK!
Answer:
Mr. Esposito is taller by 8 inches
Step-by-step explanation:
Mr. Esposito
12x5 = 60 + 11 = 71
Mrs. Humbert
63 inches = 5 foot and 3 inches
71 - 63 = 8
A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is 6.50? What is the altitude of the plane? Round your answer to the nearest tenth of a mile. 0.1 mile b. 0.5 mile 35.1 miles d. 8.6 miles
Answer:
tana=h/x
tan6.5=h/4
h=4tan6.5
h=0.5 mi
Step-by-step explanation:
I hope this helps u! :D
Will give brainliest for correct answer
Answer:
The first picture on the second page
Step-by-step explanation:
The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.
Joyce packed lunches for the Shiloh Football Team. If she packed 75 pounds of bagged lunches. Each bag weighed 1 1/2 pounds. How many lunches did she pack?
50
60
70
80
WILL GIVE BRANLIEST
Answer:
50
Step-by-step explanation:
total weight=75 pounds
each bag weighed 1 1/2 pound=3/2 pound
no. of lunches=total weight/weight of each lunch
=75/(3/2)
=75*2/3
=50lunches
Answer:
50
Step-by-step explanation:
You need to divide 75 lb by 1 1/2 lb.
[tex] 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 [/tex]
Answer: 50
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
QPN and TSU
Step-by-step explanation:
They're both exterior angles and they are both alternate to each other.
The jeweler has a stock of alloys that are 25% gold, 50% gold, and 82% gold. Choose 2 different alloys that can be used to create an alloy that is 75% gold. Explain why you chose these alloys.
Which value of m makes the equation true?
8+m=27
Hurry I need an answer!!!!
Answer:
19
Step-by-step explanation:
given that 8 + m = 27
we need to find m
we can do this by isolating the variable using inverse operations
8 + m = 27
we want to get rid of the 8 in 8 + m
The opposite of addition is subtraction
So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side
So we subtract 8 from each side
8 - 8 cancels out
27 - 8 = 19
we're left with m = 19
A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. What is the constant of proportionality?
Answer:
50 points
Step-by-step explanation:
Answer:
525 is the constant of proportionality
Step-by-step explanation:
Mia found the area of a polygon The area is 32 square cm.
Which of these polygons has an area of 32 square cm?
Answer:
Only the isosceles trapezoid has an area of 32 cm².
Step-by-step explanation:
Let's calculate the area of each polygon.
For the two triangles we have:
[tex] A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2} [/tex]
This polygon does not have an area of 32 cm².
For the rectangle we have:
[tex] A_{r} = bh = 6 cm*4 cm = 24 cm^{2} [/tex]
This polygon does not have an area of 32 cm².
For the rectangle trapezoid we have:
[tex] A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2} [/tex]
So, this polygon does not have an area of 32 cm².
Finally, for the isosceles trapezoid:
[tex] A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2} [/tex]
This polygon does have an area of 32 cm².
Therefore, only the isosceles trapezoid has an area of 32 cm².
I hope it helps you!
please help me with this
Answer:
its 18
Step-by-step explanation:
6x3=18
Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
X is proportional to ✓y where y>0 .
y is increased by 44%
work out the percentage increase in x
Answer:
20%
Step-by-step explanation:
x = k√y
Increase y by 44%. y becomes 1.44y.
x = k√(1.44y)
x = 1.2k√y
x went from k√y to 1.2k√y.
(1.2k√y)/(k√y) = 1.2
x is now 1.2 times greater than it was, so the increase in x is 20%.
Answer: 20%
Don’t understand could I get some help pls :)
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Parallel lines.
We must first understand that, Parallel Lines always have a same Slope, hence the 'm' value in y=mx+c equation will same, here it is '1/2' in the above equation,
so the points here are (-6,-17)
==>
(y-(-17)) = m(x-(-6))
==>
here m = 1/2 ,hence
y+17 = 1/2(x+6)
==> y+17 = 1/2(x) + 3
==> y = 1/2(x) + 3 - 17
==> y = 1/2(x) - 14
hence the Option 4.) is the correct answer!!
Johanna flips a coin, and then she spins a spinner with 4 equal sections colored yellow, green, red, and purple.
Answer:
What's the question though?
$500 at 12% for 6 months (0.5 years) Find the interest
Answer:
Step-by-step explanation:
500(.12)(.5)= $30 interest
calcula b para que la recta 2x + by = - 11 pase por el punto (-2, 5)
Answer:
i dont kown sorry i hope i helped :)
Step-by-step explanation:
jsqfwfnkewrrbnrjbhrwob
Whats the area of number 10 ? Help please, help me do it and explain if you can! BTW THIS IS COMPOSITE SHAPES
Answer:
10. Area = 72 units²
Step-by-step explanation:
10. The shape in number 10 is a trapezoid.
Area of trapezoid = ½(a + b)*h
Where,
a = 6
b = 12
h = 8
Area = ½(6 + 12) * 8
Area = ½(18)8
Area = 72 units²
Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!
