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.
Can someone please give me the answer I will mark I brilliant
Answer:
294
Step-by-step explanation:
Area = length x width
Area of one square is 7 x 7 or 49
There are 6 squares so do 49 x 6 or 49 + 49 + 49 + 49 + 49 + 49 + 49
Answer is 294.
Answer: The surface area is 294 mm2.
Step-by-step explanation:
A= l*w
A= 7*7
A=49
49*6= 294
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
Need help!! ASAPP!
With number #4
thx <3
Answer:
Clean and Bright
Step-by-step explanation:
For soapy suds, you would do 13×12, would would give you only 156 sq inches. However, with Clean and Bright, you would do 9×13×8 since it is three dimensional. This would give you 936 cubic inches, meaning it holds the most detergent.
Find the surface area of the prism.
15mm 10mm 8mm
A. 320 mm2
B. 400 mm2
C. 494.2 mm2
D. 502 mm2
Kevin walked 5 miles in 3 hours. What was his walking rate in miles per hour?
But use the / as your answer like 5/8
9514 1404 393
Answer:
5/3 mi/h
Step-by-step explanation:
To find rate in miles per hour, divide miles by hours:
(5 mi)/(3 h) = 5/3 mi/h
Choose all the expressions that have 23 as a product.
A. 45×56
B. 78×910
C. 13×23
D. 34×712
E. 67×79
Answer:
are you sure this is the right question? none of those have a sum of 23
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
i did this quick check
Simplify the expression\(\frac{2x^{-1}y}{x^3z}\) for \(x=2\), \(y=8\), and \(z=-1\).
2 x ⁻¹ y / (x ³ z) = 2 y / (x ⁴ z)
… = 2 × 8 / (2⁴ × (-1))
… = 16 / (-16)
… = -1
Step-by-step explanation:
2 x ⁻¹ y / (x ³ z) = 2 y / (x ⁴ z)
… = 2 × 8 / (2⁴ × (-1))
… = 16 / (-16)
… = -1
Which of the following equations is true? 3 + 1 = 3 . 0
You only put one equation in
In 1906, Colombia experienced an intense earthquake with a magnitude of 8.8 on the Richter scale. In 1995, Egypt experienced an earthquake that measured 7.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
The intensity of the 1906 earthquake was about 32 times the intensity of the 1995 earthquake.
Step-by-step explanation:
The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.
What is logarithm?A logarithm is the power to which a number must be raised in order to get some other number.
Given that, there are two earthquakes of magnitude 8.8 and 7.3
The energy released is given by:
[tex]log_{10} E = 4.4+1.5M[/tex]
For 8.8
E1 = 3.981071705534X10^17
For 7.3
E2 = 2.238721138568X10^15
E1/E2 = 3.981071705534X10^17/2.238721138568X10^15 ≈ 178
Hence, The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.
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what is the product of 4/5 and 6/7
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
These are obtuse, right, and acute *triangles*
Step-by-step
Keyword: Triangle.
Hope that helped.
(Saw that this was one minute ago so might as well help, right?
What's 2+2 I don't know what to do
Answer:
2+2 is 4
Step-by-step explanation:
plz mark me brainest answer
HELPPPPP its geometry and i have no clue how to do it
Answer:
OKay I am decent at geomentry and am in 7th grade but i can't help u if i have no clue whats ur problem? btw i suck at math in general but geomentry i can help with
Step-by-step explanation:
Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes
cost $1.20 per pound, and a loaf of bread costs $1.80.
The inequality 1.20x + 1.80 s 7.80 models this situation, where x is the
number of pounds of tomatoes.
Solve the inequality. How many pounds of tomatoes can Lisa buy?
Answer:
Lisa can buy 5 pounds of tomatoes.
Step-by-step explanation:
Given that Lisa has $ 7.80 to spend on some tomatoes and a loaf of bread, and tomatoes cost $ 1.20 per pound, and a loaf of bread costs $ 1.80, to determine how many pounds of tomatoes she can buy, the following calculation must be performed:
1.20X + 1.80 = 7.80
1.20X = 7.80 - 1.80
X = 6 / 1.20
X = 5
So Lisa can buy 5 pounds of tomatoes.
Rectangle ABCD has vertices A(–6, –2), B(–3, –2),
C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1),
C’(–7, –3), and D’(–10, –3).
Which rule was used to translate the image?
Answer:
The rule is ( x - 4, y + 3)
Step-by-step explanation:
Does the set of points represent a function? Explain.
Which of the following is not a measure of central tendency?
A. Mean
B. Median
C. Range
D. Mode
Answer:
C
Step-by-step explanation:
C is the answer becasue range is not classified as a measure of central tendency
Question 1 of 10
Which of the following correctly describes the end behavior of the
polynomial function, f(x) = -3x4
A. The left end goes up and the right end goes down.
B. Both ends
go
down.
C. Both ends go up.
D. The left end goes down and the right end goes up.
Answer:
Ok, so it seems
erm
ok, even and odd
it is an odd one because the power is odd (3rd degree)
so then the ends go in different directions
and since leading coefient (5 in the 5x^3) is positive, it goes from bottom left to top right
so
A is false
B is false
C and D are true
answer is C and D
find the unknown lengths in the pair of similar triangles
Answer:
a = 3
b = 2
Step-by-step explanation:
The ratio of the corresponding sides of two similar triangles are always equal. Therefore,
9/a = 18/6 = 6/b
✔️Let's solve for a:
9/a = 18/6
9/a = 3
Cross multiply
a*3 = 9
Divide both sides by 3
a = 9/3
a = 3
✔️Let's find b:
18/6 = 6/b
3 = 6/b
3*b = 6
b = 6/3
b = 2
what is
8 + 2 × 6 - 2^4
Answer:
4
Step-by-step explanation:
8+2=10
10x2=60
60-2^4=4
the value of 2^4 is 56
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 + 2\times6 - 2^4 }[/tex]
[tex]\mathsf{2\times 6 = \bf 12}[/tex]
[tex]\mathsf{8 + 12 - 2^4}[/tex]
[tex]\mathsf{8 + 12 = \bf 20}[/tex]
[tex]\mathsf{20 - 2^4}[/tex]
[tex]\mathsf{2^4}[/tex]
[tex]\mathsf{= 2\times 2\times2\times2 }[/tex]
[tex]\mathsf{= 4\times 4 }[/tex]
[tex]\mathsf{= \bf 16}[/tex]
[tex]\mathsf{20 - 16 = \bf 4}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
1/2 divided by 4 pls help
Answer:
1/8
Step-by-step explanation:
1/2÷4=
1/2×1/4=1/8
Answer:
1/8= 0.125
Step-by-step explanation:
1/2÷4
1/2 x 4 = 1/8
The answer to 1/2 divided by 4 in fraction form is: 1/8.
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
stight line
Step-by-step explanation:
GIVING OUT BRAINLIEST ANSWER !! HELP ME OUT PLSS!!
Answer:
x = 7 hope this helps !!!
Step-by-step explanation:
Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.
Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.
Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.
this is a type 3 triangle, and you can find the length of y from it, it being 14, and x is half of y, being 7
Tan (30) = x/7[tex]\sqrt{3}[/tex]
Tan (30) times [tex]7\sqrt{3}[/tex] = x
7 = x
Have a great day,
and thank you for the support - Oceanbreeze24
In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches. Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?
Answer:
Area of Shaded Area = 18.3
Step-by-step explanation:
P.S - The exact question is -
Given - In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches.
To find - Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?
Proof -
We know that,
Area of a quarter circle = [tex]\frac{1}{4} \pi r^{2}[/tex]
Also,
We know that ,
Area of isosceles Triangle = [tex]\frac{1}{2}*Base*Height[/tex]
Now,
Given that,
Radius of quarter circle = 8 inches
Base of Isosceles Triangle = 8 inches
Height of Isosceles Triangle = 8 inches
∴ we get
Area of a quarter circle = [tex]\frac{1}{4} \pi (8)^{2}[/tex] = 16[tex]\pi[/tex]
Area of isosceles Triangle = [tex]\frac{1}{2}*8*8[/tex] = 32
Now,
Area of Shaded area = Area of a quarter circle - Area of isosceles Triangle
= 16[tex]\pi[/tex] - 32
= 50.265 - 32
= 18.265 ≈ 18.3
⇒Area of Shaded Area = 18.3
M<1=115
M<2
Could y’all give answers for all though
Answer:
1) m<2 = 115°
2) m<5 = 83°
3) m<8 = 45°
4) m<4 = 137°
Step-by-step explanation:
When two lines cross over each other, creating four angles, the opposite angles are equal.
So in question one, <1 is equal to <2, the angle opposite it, and so it is 115°.
Similarly, in question two, <5 = <6 = 84°.
In question three, <8 = <9 = 45°.
and in question four, <3 = <4 =137°.
Answer:
1) 115
2) 83
3) 45
4) 137
Step-by-step explanation:
Each problem is asking you to find the missing angle given its vertical angle.
Vertical angles are congruent therefore the angle given is the answer
Just in case that doesn't make sense here you go:
For #1 ∠1 and ∠2 are vertical angles
vertical angles are congruent ( equal to each other ) so if
∠1 = 115° then ∠2 = 115°
For#2 ∠5 and ∠6 are also vertical angles so they are congruent
so if ∠5 = 83° then ∠6 = 83°
For #3 ∠8 and ∠9 are vertical angles so they are congruent
so if ∠8 = 45° then ∠9 = 45°
For #4 ∠3 and ∠4 are vertical angles so they are congruent
So if ∠3 = 137° then ∠4 = 137°
Is urgent please ,The purpose of an initial public offering (IPO) is to do what?
A. Break into a monopoly market
B. Comply with government regulations
C. Raise money
D. Get unlimited liability
SUBMIT
Answer:
C
Step-by-step explanation:
The primary objective of an IPO is to raise capital for a business. It can also come with other advantages. The company gets access to investment from the entire investing public to raise capital.
The purpose of an initial public offering (IPO) is to raise money. It could potentially have other benefits, hence option C is correct.
The corporation can raise money by accepting investments from the whole investing public. An IPO's main goal is to help businesses raise finance.
An initial public offering (IPO) is the process of selling new shares of a private company to the public. To hold an IPO, businesses must satisfy Securities and Exchange Commission (SEC) and exchange standards.
Company insiders may use an IPO to diversify their holdings or generate liquidity by selling all or a portion of their private shares as part of the public offering.
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Orphia bought a coffee table for $200. The sales tax on the purchase was $19. Find the sales tax rate (in %).
Answer:
9.5%
Step-by-step explanation:
19/200=.095 or 9.5%
hi I was going to ask may you help me on math assignments because I'm really struggling and I'm trying to get my grades up
Answer:
ok... i got all A's in math this year so far
Step-by-step explanation:
Sure, but I might get some wrong so don't blame me :)
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
A.z > -3
B.z < 5
C.z < 4
D.z Less-than-or-equal-to 4
E.z > 0
it is b mark me as brainliest
can someone help me on this?
Answer:
Step-by-step explanation:
